Tommy is right about the fact that an exact value is not possible because the number is irrational but the correct approximate length is 18.30.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The base of a right-angled triangle is 10cm and its height is 15cm.
We know, hypotenuse² = base² = height².
Therefore, hypotenuse² = 10² + 15².
hypotenuse² = 100 + 225.
hypotenuse = √335.
hypotenuse = 18.30.
But Tommy gave his answer as 18.03×10 which is equal to 180.3.
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help! Plot the image of triangle
△
�
�
�
△ABCtriangle, A, B, C under a reflection across line
ℓ
ℓell.
Check the picture below.
Elly and Julie are 18 miles apart on a path when they start moving toward each other. Elly runs at a constant speed of 4 miles per hour, and Julie walks at a constant speed of 6 miles per hour. How long does it take until Elly and Julie meet?
Elly and Julie meet 12km long distance.
How is the distance rate formula calculated?The relationship between distance, rate, and time is shown by the equation: distance=ratetimed=rt. You will have travelled 180 miles if, for instance, your speed is 60 mph and you drive for three hours.
Use the formula d = st, which says that distance is equal to speed times time, to calculate speed, distance, or time.
Speed is calculated as distance divided by time. You can also calculate the time by dividing the distance travelled by the speed. The third input can be calculated if you know two of the inputs. Using the formula 120 x 2 = 60 mph, we can calculate the speed of a car that travels 120 miles in two hours.
18*4 = 60
72-60 = 12 km.
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It would take Elly and Julie 1.8 hours to meet from their respective distance.
How is the distance rate formula calculated?The relationship between distance, rate, and time is shown by the equation: distance=ratetimed=rt. You will have travelled 180 miles if, for instance, your speed is 60 mph and you drive for three hours.
Use the formula d = st, which says that distance is equal to speed times time, to calculate speed, distance, or time.
Let's call the time (in hours) that it takes for Elly and Julie to meet as "t".
We know that Elly runs 4 miles per hour, so in "t" hours, she would have run 4 * t miles.
Similarly, Julie walks 6 miles per hour, so in "t" hours, she would have walked 6 * t miles.
Since they started 18 miles apart, they would meet when the sum of the distances that each of them has covered is equal to 18 miles:
4 * t + 6 * t = 18
Solving for "t":
10 * t = 18
t = 18 / 10
t = 1.8 hours
So, it would take Elly and Julie 1.8 hours to meet.
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what percentage is 1,580 of 1,738?
Answer:
100/1738*1580 = 90.9090909091
Step-by-step explanation:
Please help ill give brainliest
Answer: 91
Step-by-step explanation:
21/15=1.4
15*1.4=21
20*1.4=28
10*1.4=14
there are 3 sides that equal 14
3*14=42
42+21+28= 91
The equation y = 24.3x represents the number of miles, y, that Daniel can drive his
car for every a gallons of gas. Find the rate of change.
The equation y=24.3x rate of change is 24.3 .
What is rate of change?
The rate of change, which contrasts the values of the y and x variables, is expressed as a ratio. If a line is linear, constant, etc., its slope will indicate the rate of change. It is conceivable for lines to have slopes that are positive, negative, zero, or undefinable.
Here the given equation is y=24.3x.
We know that slope intercept form of the equation is y= mx+c .
Where m is slope and m is also the rate of change. Then the given equation,
=> y= 24.3x+0.
Here m= 24.3.
Hence the rate of change is 24.3 .
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4A) A pebble was dropped from the top of a 400 ft. tall cliff. What is
the domain of the situation?
500
450
400
350
300
250
200
150
100
50
y
1 2 3 4 5 6 7 8 9 10
Xx
Domain of situation is 45
What is Constant of Proportionality?The ratio between two proportional quantities' constant values is known as the constant of proportionality.
The formula for calculating slope is expressed as:
m=Y2-Y1/X2-X1
Given: the coordinate points (5,225) and (3, 135). The constant of proportionality is expressed as
m=135-225/3-5
m=-90/-2
m = 45
Hence, Constant of Proportionality is 45.
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the length of a rectangle is 2 inches more than 3 times the width find the area when the width is 2.5 inches
Step-by-step explanation:
Let's call the width of the rectangle "w".
The length of the rectangle is given as 2 inches more than 3 times the width:
l = 3w + 2
When the width is 2.5 inches, the length can be found:
l = 3 * 2.5 + 2 = 7.5 + 2 = 9.5 inches
The area of the rectangle can be found by multiplying the length and width:
A = l * w = 9.5 * 2.5 = 23.75 square inches.
Mara has 4 garden plots. Each is 0.7 acre in area. What is the total area of the garden plots? Use objects or the grids to show your work.
The total area of the garden plots is 2.8 acres.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Mara has 4 garden plots. Each is 0.7 acre in area.
Here, the total area is
4×0.7 acre
= 2.8 acres
Therefore, the total area of the garden plots is 2.8 acres.
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Using the two-way table, what percentage of the students that like to travel out of state do not like camping? Round to the nearest whole percent.
Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
Group of answer choices
30%
33%
36%
41%
The percentage of the students that do not like camping like travelling out of state is B. 33%
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The total number of students who do not like camping is 110 and the total number of students that do not like camping like travelling out of state is 36.
The percentage of the students that do not like camping like travelling out of state is:
= 36 / 110 × 100
= 33%
Therefore, the correct option is B.
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Ill give brainliest for the answer
Answer:
m<3 is 95 degrees.
Step-by-step explanation:
m<2 is 55*, the other angle is 30* because 180-150 is 30, and so by process of elimination it is 95*
Hope this helps!
Answer:
m<3=95°
Step-by-step explanation:
m<2 is vertically opposite an angle of 55°, and since vertically opposite angles are equal, we can say m<2=55°.
The unmarked angle in the triangle containing m<2 and m<3 is on a straight line with an angle of 150°. Since the angles along a straight line add to 180°, this unmarked angle=180-150°=30°.
The angles in a triangle always add to 180°, so the sum of m<3, m<2 and the unmarked angle should be 180°:
m<3+55°+30°=180°
m<3+85°=180°
m<3=95°
Solve for the approximate solutions in the interval [0, 2m). List your answers separated by a comma, round to
two decimal places. If it has no real solutions, enter DNE.
As you probably know, trinomials of the form y=ax²+bx+c,a≠1 can be solved by finding two numbers that multiply to a×c and that add to b.
∴ Two numbers that multiply to −2 and that add to −1 are −2 and +1.
(2cos²θ−2cosθ)+(cosθ−1)=0
(2cosθ+1)(cosθ−1)=0
cosθ=−1/2andcosθ=1
By special angles:
θ=120˚,240˚and0˚,or3π/2+2nπ,4π/ 3+2nπ and 2nπ, n being an integer.
What is trinomals?A trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms. These expressions use symbols or operations as separators such as +, –, ×, and ÷. A trinomial along with monomial, binomial, and polynomial are categorized under this algebraic expression. Let us learn more about trinomials, factoring trinomials, the formula for factoring trinomials along solving a few examples.A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression. A trinomial is a type of polynomial but with three terms. A polynomial is an algebraic expression that has one or more terms and is written as a0xn + a1xn-1 + a2xn-2 + ... + anx0 in the standard form.To learn more about polynomial refer to:
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IInvestments in debt securities classified as trading are reported on the balance sheet at
Investments in debt securities classified as trading are reported on the balance sheet at fair value and held to maturity securities.
What do you mean by the investments?
An asset or object acquired with the intention of creating income or recognition is referred to as an investment.
A purchase of products that are not consumed right away but will be utilized to create wealth down the road is referred to as an investment in an economic outlook.
Equity and debt investments that are recorded using the cost method are divided into three categories: trading securities, available-for-sale securities, and held-to-maturity securities for debt investments.
Unrealized gains and losses are reflected in net income each period for debt securities that are classed as trading and reported at fair value.
Therefore, Investments in debt securities classified as trading are reported on the balance sheet at fair value and held to maturity securities.
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Three friends got the prize money worth $105,000. The first friend would get twice the amount of the third friend's portion. The third friend would get twice the amount of the second friend's portion. Determine the amount that each friend would receive.
Answer:
Step-by-step explanation:
The first friend would get $60,000
The second friend would get $15,000
The third friend would get $30,000
Ms. Dawson's call did a science experiment. The class started out with 635 bacteria cells. The growth rate
predicted was 5.15%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 23 h from the start of the experiment. Be sure to show your work
on how you obtained your second value. Round to the nearest whole number.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Exponential operation?A function with the exponential shape is:
y = abˣ
where an is y's initial value, b are multipliers, and y and x are variables.
The bacterial population at x hours should be represented by y.
With 650 bacteria cells at the beginning, the group.
a = 650
4.5% is the growth rate.
b = 100% + 4.5% = 104.5% = 1.045
The exponential function obtained from the table is represented by the formula y = 650(1.045)x.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Thirty hours later:
y = 650(1.045)³⁰ = 2434.
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Solve the equation and enter the value of y below.
6y+ 3 = 45
Answer here
[B]
Therefore , the solution of the given problem of linear equation comes out to be y = 7.
The definition of a linear equation.A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Despite the fact because both y and x are distinct components, the previous sentence is frequently referred as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a simple linear equation is Y=mx+b, where m stands for the slope and b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.
Here,
Given :
=> 6y + 3 = 45
=> 6y = 45-3
=> 6y = 42
=> y = 42/6
=> y = 7
Therefore , the solution of the given problem of linear equation comes out to be y = 7.
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[tex]6y+3=45[/tex]
Subtract 3 from both sides:
[tex]6y+3-3=45-3[/tex]
[tex]6y=42[/tex]
Divide both sides by 7:
[tex]\dfrac{6y}{6} =\dfrac{42}{6}[/tex]
[tex]\fbox{y = 7}[/tex]
The sum of the measures of the interior angles of a 47-gon is ___ degrees.
Answer:
172.3 to 1 decimal place
Step-by-step explanation:
So first you do 360÷47=7.659574468… we then round it to 4 decimal places which is 7.6596. Then you do 180-7.6596=172.3404. So the answer is 172.3404 but to 1 decimal place it is 172.3.
In the solid below, all of the cross sections that are parallel to the base are squares. The PLSSSS HELPPPP. base measures 7 units X 7 units. The perpendicular height of the solid is 5 units. Use the dropdowns to complete the sentence below.
-Can or cannot
-all crosses sections or not all cross sections
v=? units³
The volume of the given diagram is 245 cubic units.
What is the volume of the cuboid?
A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. A cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.
Here, we have
Given: Base measures 7 units X 7 units. The perpendicular height of the solid is 5 units.
If we fix the base and plane.
Parallel to the base and make the inclined side parallel to the base then we will get a cuboid of dimension 7×7×5.
Volume = 7×7×5 = 245cubic units.
Hence, the volume of the given diagram is 245 cubic units.
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Answer:
490 units squared to the 3 power
Step-by-step explanation:
how do i turn x+y>1 into y=mx+b?
Put our equation back in the proper order after rearranging it to account for y.
How do I represent a slope-intercept form of an equation?The slope-intercept version of the equation x+y=2 should be created. All we need to do to change our equation from standard form to slope-intercept form is rearrange our terms to solve for y, and then double-check that they are in the right order. We must therefore deduct x from both sides of this equation in order to solve it. In the slope-intercept form, y=mx+b y = m x + b denotes the slope and the y-intercept, respectively.Put our equation back in the proper order after rearranging it to account for y.The slope-intercept version of the equation x+y=2 should be created. All we need to do to change our equation from standard form to slope-intercept form is rearrange our terms to solve for y, and then double-check that they are in the right order.To learn more about slope-intercept form refer to:
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Last week, Kerry read 32 pages of her book. She needs to read 50% more pages this week so that she will be able to return her book on time. How many pages does she need to read this week?
Find the area and the circumference of a circle with diameter 9m.
Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.
The Area of the circle whose diameter is 9m is; 63.6255m²
The circumference of a circle whose diameter is 9m is; 28.278m.
What is the Area of the circle?As evident in the task content; the diameter of the circle is 9m.
Since the Area of a circle is given by;
A = πd² / 4
A = 3.142 × 9² / 4
A = 63.6255m²
The circumference of a circle is given by;
C = πd
C = 3.142 × 9
C = 28.278m.
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sally and remy are each reading the same book. Sally read 1/4 of the book on monday and 2/4 of the book on tuesday. remy read 2/8 of the book on monday and 4/16 of the book on tuesday. Sally says that altogether she read more on monday and tuesday then remy. is sally correct, how do you know?
Answer: sally is correct, sally read 3/4 (0.75) of the book and rely read 0.5 (1/2) of the book
Step-by-step explanation:
Answer: She is correct
Step-by-step explanation: 1/4+2/4=3/4 of the book while 2/8=1/4 and 4/16=1/4 and 1/4+1/4=2/4 and 3/4>2/4 so Sally is correct. She read 1/4 more of the book Remy. By the way, if you are asking questions, please Capitalize names. Thank you.
(06.01 LC)
A hypothesis test is conducted with a significance level of 5%. The alternative
hypothesis states that more than 12% of a population is left-handed. The p-value for
the test is calculated to be 0.23. Which of the following statements is correct? (2
points)
More than 65% of people are right-handed, hence the assertion is true.
What is meant by hypothesis test?A hypothesis test is a technique for making statistical inferences that evaluates the validity of a proposed (hypothesised) relationship between population statistics (parameters) and the related sample estimators. All four sides of a quadrilateral must measure the same in order for the conditional, "If all four sides of a quadrilateral measure the same, then the quadrilateral is a square," to hold true.People who are right-handed: Since A hypothesis test is performed with a 5% level of significance. According to the alternate theory, more than 65% of people are right-handed. The test's p-value is calculated to be 0.03
Therefore, based on this, we may estimate that more than 65% of the population is right-handed.
As a result, choice c is the right one.
The complete question is:
A hypothesis test is conducted with a significance level of 5%. The alternative hypothesis states that more than 65% of a population is right-handed. The p-value for the test is calculated to be 0.03. Which of the following statements is correct?
a .We can conclude that more than 3% of the population is right-handed.
b .We cannot conclude that more than 65% of the population is right-handed.
c .We can conclude that more than 65% of the population is right-handed.
d .We can conclude that exactly 3% of the population is right-handed.
e .There is not enough information given to make a conclusion.
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Find the vale of the trigonometric ratio.
The ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle.
How do you locate COS A?In other terms, in a right triangle, the cosine of an angle equals the neighboring side divided by the hypotenuse: In addition, cos A = sin B = b/c. As a result, the complete forms of sin, cos, sec, cosec, tan, and are sine, cosine, secant, cosecant, tangent, and tangent, respectively. Make corrections. 11. Solve.
The horizontal component is calculated by multiplying F by the cosine of the angle formed by F and d. In this sense, the cosine theta in the work equation is related to the cause factor; it determines the fraction of the force that produces a displacement.
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1/4=_=_
Plsssssss helppppp
Answer:
0.25
Step-by-step explanation:
Amanda is sure she got the high score on a video game but she’s not sure what the number is
Answer:
Step-by-step explanation:
bro what...
Write the sum as a product:
sin(13.2u) sin(6.8u) =
The sum of the product is sin(13.2u) + sin(6.8u) = 0.5sin(8.2u) - 0.5sin(1.8u) = 0.5sin(20u) - 0.5sin(7u).
What is product?Product in math is the answer to a multiplication problem. It is calculated by multiplying two or more numbers, variables, or expressions together. Product is also used to describe the result when two or more sets of factors are multiplied together. The product of two or more numbers is equal to the sum of their individual factors.
The sum of sin(13.2u) and sin(6.8u) can be written as a product by using the trigonometric identity of the sine function: sin(A) + sin(B) = 2sin((A+B)/2)cos((A-B)/2).
Therefore, sin(13.2u) + sin(6.8u) = 2sin((13.2u + 6.8u)/2)cos((13.2u - 6.8u)/2) = 2sin(20u/2)cos(6.4u/2) = 2sin(10u)cos(3.2u)
Using the double-angle identity of the sine function: sin(2A) = 2sin(A)cos(A), we can rewrite the above equation as 2sin(10u)cos(3.2u) = 2sin(5u)[2sin(5u)cos(3.2u)] = 4sin(5u)sin(3.2u)cos(5u)
Finally, using the product-to-sum identity of the sine function: sin(A)sin(B) = 0.5[cos(A-B) - cos(A+B)], we can rewrite the above equation as 4sin(5u)sin(3.2u)cos(5u) = 0.5[cos(1.8u) - cos(8.2u)] = 0.5sin(8.2u) - 0.5sin(1.8u).
Therefore, the sum of sin(13.2u) and sin(6.8u) can be written as a product as follows:
sin(13.2u) + sin(6.8u) = 0.5sin(8.2u) - 0.5sin(1.8u) = 0.5sin(20u) - 0.5sin(7u).
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We can only add or subtract radicals if and only if the radicands and index are the same.
A)True
B)False
Answer:
True
Step-by-step explanation:
this is what i found.
When adding or subtracting radicals you must have the same?
The first thing to note is that radicals can only be added and subtracted if they have the same root number. If the radicals in a question are unlike, you won't be able to combine them together.
Mr. Carpenter built a wooden gate as shown: which is the closest to the length in feet of the diagonal board that Mr. Carpenter used to brace the wooden gate?
The diagonal board that Mr. Carpenter used to reinforce the wooden gate measures 5.3 feet long in feet.
what is Pythagoras theorem ?According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The area of the square on the hypotenuse is equal to the product of the areas of the two squares on the legs (a and b) (c). Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated several times using a variety of techniques. A right-angled triangle's unidentified side can be discovered using Pythagoras' theorem.
given figure
width of gate = 3.5ft
length of gate = 6 ft
we have to find the length of diagonal board to brace the wooden plate
Length of gate after removing the 1ft margin = ( 6-2)ft = 4 ft
let the length of brace be x
x2= (3.5)2 + (4)2
x2 = 12.25 + 16
x2 = 28.25
x = 5.3
The diagonal board that Mr. Carpenter used to reinforce the wooden gate measures 5.3 feet long in feet.
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Given f(x)=3x^3+kx-13f(x)=3x^3 +kx−13, and x−1 is a factor of f(x), then what is the value of k?
The requried value of k in the equation is given as k = 10.
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
f(x)=3x³+kx-13
x−1 is a factor of f(x)
So,
x - 1 = 0
x = 1 at x = 1, f(1) = 0
Put x = 1 in the given equation,
f(1)=3× 1³+k×1-13
0 = 3 + k - 13
k = 10
Thus, the requried value of k in the equation is given as k = 10.
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What can we do to create more energy?
A: Nothing, energy cannot be created or destroyed
B: destroy old energy and create new energy with power plants
C: Whenever energy changes from one form to another, more energy is created
To produce more energy, we do energy cannot be generated or destroyed but can only alter its forms.
Energy production and destruction are both possible.Energy can only be changed from one type of energy to another, according to the rule of conservation of energy, and cannot be created or destroyed. Accordingly, until additional energy is added from outside, a system always possesses the same amount of energy.Energy cannot be generated or destroyed but can only alter its forms. It is possible to transfer energy from one system to another, but it is not possible to create energy from scratch. The same holds true for energy; it cannot be destroyed by a system but can be transferred to another.To produce more energy, we do energy cannot be generated or destroyed but can only alter its forms.To learn more about energy refer to:
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