The height of the tree standing vertically is 102.45 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sine rule for triangles, a/sinA = b/sinB = c/sinC.
Let, The height of the tree be 'x' inclined at an angle of 10°.
Therefore, From the given information,
x/sin10° = 42/sin25°.
x = (42×0.422)/0.173.
x = 102.45.
So, the height of the tree is 102.45 feet.
learn more about the sine rule for triangles here :
https://brainly.com/question/20839703
#SPJ1
Tyler has more than $10. Elena has more money than Tyler. Mai has more
money than Elena. Let t be the amount of money that Tyler has, let e be the
amount of money that Elena has, and let m be the amount of money that Mai
has. Select all statements that are true:
❏ A. t < m
❏ B. m > 10
❏ C. e > 10
❏ D. t > 10
Answer:
T < E
E < M
M > E
Step-by-step explanation:
7/55
Remainder!!!
PLEASE HELP
A, B, C, D
A : 7 Remainder 6
B : 7 Remainder 5
C : 6 Remainder 5
D : 6 Remainder 6
The value of 55 divided by 7 will be 7 remainder 6. The correct option is A.
How to calculate the expression?The expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
It should be noted that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, the value of 55 divided by 7 will be:
= 55 / 7
= 7 6 / 7
This is 7 remainder 6.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Complete question
What is 55/7?
A. 7 Remainder 6
B : 7 Remainder 5
C : 6 Remainder 5
D : 6 Remainder 6
Please help its finals
The true interpretation of the situation is, The population is the total number of people who go to the movie theater and the sample is the first 150 people at the theater.
What is the difference between population and sample?The complete set of items from which you collect data for a statistical investigation is known as the population in statistics. It could be a collection of things, a gathering of people, etc. It serves as the study's data set.
A sample is characterized as a more manageable and compact version of a bigger group. a smaller population that possesses the traits of a bigger group. When the population size is too big to include all individuals or observations in the test, a sample is utilized in statistical analysis.
Given, The first 150 people who entered the theater were asked about their favorite type of movie.
Therefore, The correct description of the statement is,
The population is the total number of people in the movie theater and the sample is the first 150 people surveyed.
learn more about the sample and population here :
https://brainly.com/question/9295991
#SPJ1
Is algebra easy or hard?
For many students, algebra is intimidating since it is the first math course they take where they are forced to deal with variables, abstract ideas, and original problem-solving techniques.
Why is algebra such a challenge?For many students, algebra is intimidating since it is the first math course they take where they are forced to deal with variables, abstract ideas, and original problem-solving techniques. Additionally, not enough is frequently done in the classroom to relate algebra to students' daily lives and highlight the value of mastering it.For many students, algebra is intimidating since it is the first math course they take where they are forced to deal with variables, abstract ideas, and original problem-solving techniques. Additionally, not enough is frequently done in the classroom to relate algebra to students' daily lives and highlight the value of mastering it.To learn more about algebra refer to:
https://brainly.com/question/22399890
#SPJ1
A small box holds 60 hats. A large box holds 180% as many hats in the small box. How many hats does the large box hold.
Answer:
108
Step-by-step explanation:
Answer:108
Step-by-step:180/100×6=180080180×6=
Find the value of each variable in the parallelogram.
The value of m and n of the parallelogram is given by the equations ,
The value of m = 5
The value of n = 12
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
The measure of side AB = m + 1
The measure of side BC = 12
The measure of side CD = 6
The measure of side CA = n
And , for a parallelogram opposite sides are parallel and opposite sides are congruent
Now , the measure of side AB = measure of CD
The measure of side BC = measure of CA
Substituting the values in the equation , we get
m + 1 = 6
And , n = 12
Subtracting 1 on both sides of the equation , we get
m = 5
Hence , the value of m and n of parallelogram are 5 and 12 respectively
To learn more about parallelogram click :
https://brainly.com/question/23488153
#SPJ1
Can you help me solve the area of this triangle?
Hope it helps.
If you have any query, feel free to ask.
The entire area bounded by any triangle's three sides is referred to as the triangle's area.
What is the Area of a Triangle?In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h. A triangular polygon's base (b) and height (h) must be known in order to calculate its area.
Whether a triangle is scalene, isosceles, or equilateral, it can be used to solve any kind of triangle.
Be aware that the triangle's base and height are at right angles to one another. In square units, the area unit is measured (m2, cm2).
Example :
Consider this triangle with a base of 3 cm and a height of 4 cm. What is its area?
Employing the formula,
Triangle's area is equal to half of b times h.
= 1/2 × 4 (cm) × 3 (cm) (cm)
= 2 (cm) × 3 (cm) (cm)
= 6 cm2
In addition to the method mentioned above, Heron's formula can be used to determine a triangle's area when we know the lengths of its three sides.
In addition, when two sides of a triangle are known as well as the angle that forms between them, the area can be calculated using trigonometric functions.
For each of these circumstances, we shall calculate the area.
To Learn more About triangle's area refer To:
https://brainly.com/question/17335144
#SPJ1
Prove 2 triangles formed by a diaganol in a rectangle are congruent
On solving the provided question, we can say that, by SAS congruency both triangle are congruent
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
2 triangles formed by a diagonal in a rectangle are congruent
since two sides are equal
and, each angle is 90 on bisect from it's 45 each
so, two sides of both triangles are equal
and one angle from both triangle are equal
then, by SAS congruency both triangle are congruent
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
How do you translate a graph down and right?
To translate a graph down and right, you would take each point on the graph and move it down and to the right by a given number of units. To be more specific, you would add the given number of units to the x-coordinate and add the given number of units to the y-coordinate.
A graph can be translated down and right by taking each point on the graph and moving it down and to the right by a given number of units. This means that for each point on the graph, the x-coordinate will be increased by the given number of units and the y-coordinate will be increased by the same number of units. This type of translation is often used to move a graph from one position to another on the coordinate plane. It can also be used to create a graph that is shifted from its original position. This shifting of the graph can be used to compare two different graphs or to move a graph to the origin. In either case, translating the graph down and right will move each point on the graph in the same direction and by the same number of units.
Learn more about graph here
https://brainly.com/question/17267403
#SPJ4
1) During the 1990s, the forested area Guatemala decreased at an Average Rate of 1.7%. The forested area on Guatemala was about 34,400 square Kilometers in 1990.
((Rest Picture))
2) From 1995 to 2005, the tuition at a college increased by about 7% per year. Tuition in 1995 was $12,000n
Answer:
A is correct answer
How to calculate this ?Here, we want to write an equation for a depreciation
The general form is;
V is the present value in 2005
I is the initial value in 1990 which is 34,400
r is the decrease rate which is 1.7/100 = 0.017
t is the difference in years which is 2005-1990 = 15
Substituting these values, we have
V = 34,400(1-0.017)^15
V = 22,407.65 km^2
To learn more about linear regression refers to
https://brainly.com/question/23268467
#SPJ1
Solve the following inequality, 7x - 1 < or equal to -50
Answer:
To solve the inequality 7x - 1 <= -50, we'll start by isolating x on one side of the inequality.
Add 1 to both sides: 7x <= -49
Divide both sides by 7: x <= -7
So the solution to the inequality is x <= -7.
This means that x can be any value less than or equal to -7. For example, -7, -8, -9, -10, etc. It is also possible to express this as an interval notation, which is (-∞, -7].
I suck at special triangles and this is really confusing
Figure shows right angle, angles are 30-60-90 degrees, and side ratio 1:√3: 2.
30-60-90 Triangle SidesA 30-60-90 triangle is unique because the lengths of its sides are consistently related to one anotherTriangle ABC in which C is at 30°, A is at 60°, and B is at 90°.Since the 30° angle in this triangle is the smallest angle, the side opposite it, AB = y, will always be the smallest.Because 60° is the mid-sized degree angle in this triangle, the side opposite the 60° angle, BC = y 3 = y 3, will be the medium length.The hypotenuse AC = 2y will be the greatest side on the side opposite the 90° angle as 90° is the largest angle.The sides of a 30-60-90 or right angle triangle are in the ratio of 1:√3: 2.To learn more about right angle refer to:
brainly.com/question/30296111
#SPJ1
What is another word for logarithm?
The another word for logarithmic function is log.
Explain logarithmic function?A logarithmic equation is one that uses the logarithm of an expression involving a variable. Before attempting to answer an exponential equation, make sure you can write both sides of the problem as powers of the same number.
According to question:To generate a given number, a base must be raised to a particular exponent, power, or logarithm. If bx = n, then mathematically, x is the logarithm of n to the base b, denoted as x = logb n. For instance, since 8 has a base-2 logarithm of 3, 3 = log2 8 since 8 = 23
To know more about logarithmic function visit:
brainly.com/question/30284289
#SPJ4
Fill in the next term in the sequence.
1/8 , 1/4 , 1/2 , ____
the Answer is 1 so ya
The answer is 1.
Structure of the sequence is.
S = 1/2³, 1/2², 1/2¹, ......
The next term in our sequence should be,
= 1/2⁰ = 1/1 = 1
The sequence would continue,
= 1/2⁰, 1/2⁻¹, 1/2⁻², .... = ...., 1, 2, 4, .......
Therefore, the answer is.
∴ 1/8, 1/4, 1/2, 1 ....
Learn more about geometric sequences,
https://brainly.com/question/30309936
What is the decimal expansion of the following fraction? 1/18
A. 0.18
B. 0.05
C. 0.05
D. 1.18
The fraction 1/18 has the following decimal expansion :[tex]$0.0556=\frac{0}{10}+\frac{5}{100}+\frac{5}{1000}+\frac{6}{10000}$[/tex] . The fraction 1/18 is 0.05 .
How do you find the decimal expansion ?The fraction 1/18 has the following decimal expansion:
[tex]$0.0556=\frac{0}{10}+\frac{5}{100}+\frac{5}{1000}+\frac{6}{10000}$[/tex]
A number's representation in base-10 is known as its decimal expansion (i.e., in the decimal system). Each "decimal place" in this system is made up of a digit from 0 to 9, arranged so that each digit is multiplied by a power of 10, decreasing from left to right, and with a decimal place designating the s place.
The real or inferred decimal point of a number is represented in its expanded form, or decimal form. 10.2 and 0.0084 are examples of decimal values that have actual decimal places. The entire number 17, which is really represented by the decimal point 17.000000000000, is an illustration of a number with inferred decimal points. It is a number in algebra that is irrational.
Therefore the correct answer is option C ) 0.05 .
To learn more about decimal expansion refer to :
https://brainly.com/question/26301999
#SPJ1
C (3, 0) and D (8,0)
Find the length using the distance formula
Answer:
5
Step-by-step explanation:
(3-8)²+(0+0)²
25+0
25----> The square root of 25 is 5
answer and i will mark it as brainliest
A person took a loan of Rs 150000for tw years at the rate of 10% annual compound interest To reduce interest and loan partly he paid Rs 85000 at the end of first year
a) Now how many rupees should he have to pay at the end of second year to clear his debt
b) If he had paid the loan only at the end of second year how much less or more interest should have to be paid?
Answer: a) The amount of interest that would be added to the loan after one year at a 10% annual compound interest rate is 15000010/100 = 15000. Therefore, the total amount of the loan after one year would be 150000+15000 = 165000. After the person paid Rs 85000 at the end of the first year, the remaining amount of the loan would be 165000-85000 = 80000.
To clear the debt at the end of the second year, the person would have to pay 80000+8000010/100 = 80000+8000 = 88000 rupees.
b) If the person had only paid the loan at the end of the second year, the interest on the loan would be 15000010/1002 = 30000 rupees.
The total amount of the loan would be 150000+30000 = 180000 rupees.
Therefore, the difference in interest paid would be 30000-8000 = 22000 rupees more.
He would have to pay 22000 rupees more than what he paid in the first case.
Create an equivalent expression for 12−7 • 125.
−122
122
one over twelve raised to the power of negative two
one over twelve raised to the second power
An equivalent expression for 12−7 • 125 is option B. −122
How did we decide the equivalent expression?The expression 12−7 • 125 can be simplified as follows:
12 - 7 * 125
Starting with the multiplication:
12 - 7 * 125 = 12 - 875
Finally, the subtraction:
12 - 875 = -863
So, the equivalent expression is:
-863. Since -122 is also a negative number, it implies that the expression resulting to -863 is equivalent to that which results into -122.
learn more about equivalent expression: https://brainly.com/question/30340676
#SPJ1
Is an inverse graph a parabola?
If we plot the inverse function on a graph, then we get a parabola. This parabola has the following conditions: If a>0 , then the equation defines a parabola whose ends point upwards. If a<0 , then the equation defines a parabola whose ends point downwards.
Now, According to the question:
What type of graph is a parabola?
A parabola is the shape of a quadratic function graph. There are two types of parabolas, positive (opening up) or negative (opening down). A parabola has many key features including a vertex, x-intercept(s) and y-intercept.
How do you know if a graph is a parabola?
A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax^2 + bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0.
Learn more about Parabola Graph at:
https://brainly.com/question/16180199
#SPJ4
Which of the following is an element in the sample space for first rolling a number cube and then tossing a coin
A) T,H
B) 5,H
C) H,7
D) 5,6
5, H is an element in the sample space for first rolling a number cube (with sides numbered 1-6) and then tossing a coin (with heads or tails outcomes).
Option (B) is correct.
What is the sample space in probability?
In probability, the sample space is the set of all possible outcomes of a random experiment. It is the set of all possible results of a random variable. For example, if you roll a die, the sample space would be the set {1, 2, 3, 4, 5, 6}. If you flip a coin, the sample space would be the set {heads, tails}. In more complex experiments, the sample space may be a combination of multiple outcomes from different processes.
B) 5,H is an element in the sample space for first rolling a number cube (with sides numbered 1-6) and then tossing a coin (with heads or tails outcomes).
Hence, 5, H is an element in the sample space for first rolling a number cube (with sides numbered 1-6) and then tossing a coin (with heads or tails outcomes).
To learn more about the sample space in probability, visit:
https://brainly.com/question/29148703
#SPJ1
What is the equation of parabola Mcq?
The standard equation of a parabola takes the form ( y^2 = ± 4ax ).
In mathematics, a parabola is defined as a plane curve that is approximately U-shaped and mirror-symmetrical. Simply a parabola refers to a set of points that lie equidistant from the focus and the directrix.
In real life, the parabola has several important applications, from a parabolic antenna or parabolic microphone to the design of ballistic missiles and automobile headlight reflectors. It is frequently used in physics, engineering, and various other areas.
The standard equation of a parabola opening upwards or downwards is y^2 = ± 4ax.
You can learn more about parabola at
https://brainly.com/question/64712
#SPJ4
(6) Select the number/word combination that best estimates each number.
(a) 87,300,000
(i) 8. 73 million
(ii) 8. 73 billion
(iii) 87. 3 million
(iv) 87. 3 billion
(b) 2,670,000,000,000
(i) 2. 7 trillion
(ii) 2. 7 billion
(iii) 2700 million
(iv) 2. 7 million
The number/word combination that best estimates each number is.
(a) 87,300,000:
(i) 8. 73 million
(ii) 87.3 million
(b) 2,670,000,000,000
(i) 2.7 trillion
(iv) 2700 billion
Note: In (a) option (ii) & (iv) are not correct, as 8.73 billion is 873000000000 and 87.3 billion is 87.3*1000000000 = 873000000000. In (b) option (ii) & (iii) are not correct, as 2.7 billion is 2700000000 and 2700 million is 270000000000.
I chose option (iii) for (a) because 87,300,000 is closest to 87.3 million. 87.3 million is also the correct way to express this number in the millions.
I chose option (i) for (b) because 2,670,000,000,000 is closest to 2.7 trillion. 2.7 trillion is also the correct way to express this number in trillions.
Learn more about estimation and number sense. here: https://brainly.com/question/28416295
#SPJ4
Please i need help have to show work too Calculate the volume of the cylinder:
10 cm
6 cm
B 9 π cm³
B 36 π cm³
C 360 π cm³
D 90 π cm³
The volume of the cylinder will be 90π cm^3 i.e. D.
What is volume of a cylinder?
The cylinder is a three-dimensional shape having a circular base. A cylinder can be seen as a set of circular disks that are stacked on one another. The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder’s volume is given by the formula, πr^2h,
where r is the radius of the circular base and
h is the height of the cylinder. The material could be a liquid quantity or any substance which can be filled in the cylinder uniformly.
Therefore,
Volume of a cylinder = πr^2h
height of cylinder=10cm
radius=diameter/2=6/2=3cm
=π *3*3*10
Volume of a cylinder=90π cm^3
To know more about Volume of a cylinder visit the link
https://brainly.com/question/16134180?referrer=searchResults
#SPJ1
A spinner is divided into equal sections, labeled 4 through 8. How many times would you expect to spin a 5 if you spin the spinner 100? Round your answer, if needed.
A.
0.20
B.
20
C.
0.50
D.
80
20 times we can expect to spin a 5.
Option(B) is correct.
What is probability?
Probability is the branch of mathematics that deals with the likelihood of certain events happening.
A spinner is divided into equal sections, labeled 4 through 8, so there are 5 sections in total (4, 5, 6, 7, 8). If you spin the spinner 100 times, you would expect to spin a 5 on 1/5 of those spins, since there is one 5 section out of five total sections. Therefore, you would expect to spin a 5 100 times / 5 sections = 20 times.
Hence, 20 times we can expect to spin a 5.
To learn more about the probability, visit:
https://brainly.com/question/24756209
#SPJ1
Shane rode his bike for 2 hours and traveled 12 miles. At this rate, how many miles would he travel in 4 hours
Answer:
24
Step-by-step explanation:
12/2=6 6*4=4
Can all quadratic equations be solved by factoring example?
Factoring or root extraction are not always effective ways to solve quadratic equations. The problem [tex]x^2[/tex]+x-1=0, for instance, cannot be solved by factoring since the expression [tex]x^2[/tex]+x-1 cannot be factored. Factoring other equations could be challenging.
The quadratic equation's standard form is a[tex]x^2[/tex] + bx + c = 0, where 'a' is the leading coefficient and a non-zero real number. Due to the word "quad" meaning "square," this equation, whose degree is 2, is referred to as "quadratic."
No. Every quadratic equation has two solutions, and they can all be factored, however as the difficulty increases, dividing may become more difficult, and people may start to apply the quadratic formula.
The basic theorem of algebra states that a polynomial of degree n has n solutions. There are always always two solutions to a quadratic problem. One method to resolve such an equation is through factorization.
To learn more about quadratic equations link is here
brainly.com/question/15679702
#SPJ4
break apart 8 and 50
Answer:
Ste p-by-step explanation:
Answer: 8=4+4, 50=25+25
PLEASE ANSWER.
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
What percent of the 8th graders estimated they spend less than an hour a day on social media? Round your answer to the nearest whole number percent.
Therefore , the solution of the given problem of percentage comes out to be 61.29% .
What is a percentage?A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100.
Here,
We recognize that the number is 77 in the provided table. consisting solely of seventh and eighth grade
There are 31 students in eighth grade.
Total number of 7th graders
=> (77-31) = 46
There are 46 kids in the 7th grade who use social media on average in this grade, depending on whether they spend more or less time on it.
In seventh grade, there were 19 students who spent more than an hour on a task.
38 pupils in all, including 7th and 8th graders, spend less than an hour on social media.
Total 8th graders using social media for less than an hour is (38- 19) = 19
Thus, percentage of 8th grades is
=> 19/31 * 100
=> 61.29%
Therefore , the solution of the given problem of percentage comes out to be 61.29% .
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
in a class of 78 students, 41 are taking french, 22 are taking german and 9 are taking both french and german. how many students are not enrolled in either class? question 11 options: 6 24 54 15 33
Answer: 6 are not enrolled.
Step-by-step explanation:
78 in total so you add 41+22+9 and you get 72 so you do 78-72 and you get 6.
How do you factor a negative 1?
The factor of negative 1 will be -1
Now, According to the question:
What is factor?
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
There are two methods of finding factors: multiplication and division. In addition, rules of divisibility may also be used.
Hence, Every negative number can be thought of as having some positive factors and exactly one negative factor, -1. When a positive number and a negative number are multiplied, the product has that one -1, so it's negative.
Learn more about Factor at:
https://brainly.com/question/23363678
#SPJ4