According to the Pythagorean theorem, the hypotenuse's square of a right triangle equals the sum of its two other sides' squares.
What is meant by Pythagorean Theorem?The widely accepted geometric principle known as the Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).
With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.
Therefore, the correct answer is option b. State Pythagorean Theorem.
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Out of the thirty questions on the science quiz, Charlotte got 23 of them correct. What percentage of questions did Charlotte answer correctly?
Answer:
0.7667
Step-by-step explanation:
Jordan has an account with $5000. He wants to withdrawal $40 a month for 10 years. The account makes 0.1% APR compounded monthly. Does he have enough money to do this?
yes or no
Consider the system.
6x - 3y = 66
x + 3y = -10
Complete the description for three different substitution methods that can be used to solve this system.
Solve the second equation for x (x = - 3y) and then substitute the value into the first equation.
Solve the first equation for y (y = 2x - ) and then substitute that value into the second equation.
Solve either equation for 3y (3y = - x or 3y = 6x - ) and then substitute that value into the other equation.
The value of x and y in the equation will be 15.2 and -1.84 respectively.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
Based on the information given, the equation is given as:
6x - 3y = 66
x + 3y = -10
Subtract equation i from ii
5x = 76
Divide
x = 76 / 5
x = 15.2
The value of y will be:
= x + 3y = 10
15.52 + 3y = 10
3y = -5.52
y = -5.52 / 3
y = -1.84
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Jayden and his children went into a movie theater that sells bags of popcorn for $7 each and pretzels for $5 each. Jayden has $85 to spend and must buy a minimum of 13 bags of popcorn and pretzels altogether. If x x represents the number of bags of popcorn purchased and y y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution we have is 10 bags of popcorn and 7 bags of pretzels.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let, 'x' represents the number of bags of popcorn and 'y' represent the number of pretzels.
Therefore, The two inequalities representing the context are,
x + y ≥ 13 and 7x + 5y ≤ 85.
Solving these two inequalities graphically, A possible solution
we have, (10, 3).
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The board game Life has a spinner with 10 equal spaces. What is the probability of NOT landing on the number 8?
The probability of not landing on the number 8 is 9/10.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is a the board game life has a spinner with 10 equal spaces.
Probability of getting a 8 -
P{E} = 1/10
Probability of not getting a 8 -
P'{E} = 1 - P{E} = 1 - 1/10 = 9/10
P'{E} = 9/10
Therefore, the probability of not landing on the number 8 is 9/10.
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24 is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 24, slightly less than 24, slightly greater than 24, or a lot greater than 24? Explain.
I would expect the answer to be a lot greater than 24 which is 12000.
What is percentage?Percentage is defined as the part of a whole value per 100 which is represented by the symbol%.
To find the number in which 24 is it's 0.2%, the following is carried out;
The number is represented as = x
That is, 0.2/100 × X = 24
0.2x/100 = 24
0.2x = 100×24
0.2x = 2400
X = 2400/0.2
X= 12000
Therefore, 24 is 0.2% of the number 12000 which can be said that it's alot greater than 24.
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Calculate x
PLSSS HELP ME
Answer: 53 degrees
Step-by-step explanation:
X = 360 - 307 = 53 degrees
Answer:
53
Step-by-step explanation:
subtract 307 from 360
Consider the system of linear equations: 12x+6y=-20
-3x+y=5
Change the coefficient of y in the first equation so that the system has infinitely many solutions.
The equation 12x + 6y = -20 and -3x + y = 5 will have infinitely many solutions when the coefficient of y in 12x + 6y = -20 is -4
When will a linear equation have infinitely many solutions?When the lines are coincident and they share the same y-intercept, and slope the system of equations has an infinite number of solutions.
If the slope and y-intercept of two lines match, they are in fact the exact same line.
In the problem, the equations are 12x + 6y = -20 and -3x + y = 5
when the ratio of each parameter are equal then the lines have infinite many solutions
x: 12 / -3 = -4
constant: -20 / 5 = -4
let the coefficient be k
y: k / 1 = -4, k = -4
hence the coefficient should be -4
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A group of friends were working on a student film. They spent all their
budget on props and equipment. They spent $192 on props, and 68%
of the total budget on equipment. What was the total budget for their
student film?
As a result, their student film's overall budget was $1200, with $192 spent on props and 68% of the budget allocated to equipment.
what is 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. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.
given
On a student movie, some pals were engaged.
On props and equipment, they used the entire budget.
A total of $24% of the budget was spent on equipment, or $912, on props.
Let's write down the movie's overall budget as x.
$870 was spent on the equipment.
The props budget is equal to 24% of x.
Equipment costs plus prop costs equal the total budget.
x = 912 + 24% of x
x = 912 + 0.24x
x - 0.24x = 912
0.76x = 912
x= 912/0.76
x = $1200
As a result, their student film's overall budget was $1200, with $192 spent on props and 68% of the budget allocated to equipment.
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*
Find the measure of <1 and <2. Justify the answer.
Complete the table below.
Measure
m<1=
m<2=
Justification
126°
Solving this equation, we find that m<1 = 126° and m<2 = 54°.
What is equation?An equation is an expression that contains one or more mathematical operators, such as addition, subtraction, multiplication, and division, and two or more mathematical variables. Equations are used to solve a variety of problems and can be used to represent various situations in mathematics.
Measure
m<1=126°
m<2=54°
Justification
The sum of the measures of the interior angles of a triangle is 180°. Therefore, if m<1 and m<2 are two of the interior angles of a triangle, then m<1 + m<2 must equal 180°. Solving this equation, we find that m<1 = 126° and m<2 = 54°.
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cost to store=$160 markup= 25%
The original cost of the item, given the cost to the store and the markup, can be found to be $ 200
How to find the original cost ?Given that the cost to the store is $ 160 and they would charge a 25 % markup on this cost, the original cost can be denoted as x and the formula would be:
x = Cost to store x ( 1 + markup percentage )
The original cost to the customer would then be:
= 160 x ( 1 + 25 %)
= 160 x 1 .25
= $ 200
The original cost charged by the store to the customer is $ 200.
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The question is:
Find the original cost that the store will charge to the customer. cost to store=$160 markup= 25%
write the ratio as a fraction. 6 to 10.
coach buys some basketballs. He buys 125 more soccer balls than basketballs He buys 58 fewer baseballs than soccer balls. Are there more basketballs or baseballs?
There are 67 more baseballs than basketballs.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a coach buys 125 more soccer balls than basketballs He buys 58 fewer baseballs than soccer balls.
Let the number of soccer balls be x, and that of basketballs and baseballs be y and z respectively.
Therefore, according questions,
x-y = 125
x = 125 + y...(i)
x-z = 58
x = 58 + z...(ii)
Now, since, LHS of both equations are equal,
125 + y = 58 + z
z - y = 67
Since, y is being subtracted by z and result is positive, therefore, number of baseball is greater than number of basket balls,
Hence, there are 67 more baseballs than basketballs.
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i need help with #2 please!!
For the functions f(x) = -x²- 8 and g(x) = 3x + 5 the value for f(g(-4)) = -57.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The given functions are -
f(x) = -x²- 8
g(x) = 3x + 5
The evaluation is for f(g(-4)).
Substitute value of x = -4 in function g(x) -
g(x) = 3x + 5
= 3(-4) + 5
= -12 + 5
= -7
Now, substitute the value of x = -7 in function f(x) -
f(x) = -x²- 8
= - (-7)² - 8
= - 49 - 8
= -57
Therefore, the value is obtained as -57.
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Ill give brainliest to the person who answer
The required measure of angle m∠3 = 60° for the given figure.
What is the interior Angle?An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.
As per the interior angle property, we have
40° + 85° + m∠1 = 180°
m∠1 = 180° - 40° - 85°
m∠1 = 55°
Since m∠1 = m∠2 (opposite angles)
m∠2 + m∠3 + 55° = 180°
55° + m∠3 + 55° = 180°
m∠3 = 180° - 55° - 55°
m∠3 = 60°
Thus, the required measure of angle m∠3 = 60°
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Online social networking. The Parents & Teens 2006 Survey of 935 12- to 17-year-olds found that, among teens aged 15-17, girls were significantly more likely to have used social networking sites and online profiles. 70% of the girls surveyed had used an online social network, compared to 54% of the boys. What does it mean to say that the difference in proportions is "significant"?
When comparing the means of two groups and their relationships, a t-test is an inferential statistic used to assess whether there is a significant difference.
Is the difference between two proportions significant? T-tests are employed when data sets, such as the one resulting from tossing a coin 100 times, have normal distributions and unknown variances.Like comparing two means, comparing two proportions is a popular practise. Two estimated proportions that differ from one another could be the result of chance or a discrepancy in the populations. If there is a disparity between the estimated proportions and the population proportions, the hypothesis test can help to clarify this.Start by locating your variance on the left side of your degrees of freedom. Next, move up to view the p-values. Comparing the p-value and alpha can help you determine the significance level. Bear in mind that statistical significance is defined as a p-value 0.05.To learn more about statistic refer to:
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Find the perimeter of the figure to the nearest hundredth.
The perimeter of the circular figure is P = 36.85 feet
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the perimeter of the figure be represented as P
Now , the perimeter of the figure P = perimeter of circle + perimeter of lengths of sides
The total lengths of sides = ( 3 + 3 + 3 + 3 + 3 + 3 ) feet
The total lengths of sides = 18 feet
And , the circumference of circle = 2πr
The diameter of the circle d = 12 feet - 6 feet
The diameter of the circle d = 6 feet
So , the radius of the circle r = d/2 = 3 feet
And , the circumference of circle = 2 x π x 3
The circumference of circle = 6π
So , perimeter of the figure P = ( 6π + 18 ) feet
Perimeter of the figure P = 36.849 feet
Hence , the perimeter of the figure is 36.85 feet
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what is 4sqroot 7^3 in exponential form
Answer:
7^3/4
Step-by-step explanation:
use the formula below to solve your problem
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number. 34,19
The two factors are 2 and 17.
What are Factors?The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.
Given:
The numbers are 34 and 19.
Now, the factor of 34 = 2, 17
Now, multiply the factor, 17 x 2 = 34
and, the addition = 17 + 2 = 19 which is the second number.
Hence, the number are 2 and 17.
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Find the value of x.
Please help !!
A quadrilateral is a four-sided polygon, and it can come in various shapes and forms such as square, rectangle, rhombus, parallelogram, etc.
Explain about angles of polygon quadrilateral:Each type of quadrilateral has its own unique characteristics and properties. A rhombus has all its sides equal in length, and a parallelogram has opposite sides parallel to each other. The sum of all interior angles of a quadrilateral is always 360 degree which is a common property for all types of quadrilaterals.A quadrilateral is a four-sided polygon and its interior angles can be calculated using the formula (n-2) * 180 / n where n is the number of sides. In the case of a quadrilateral, n=4. The formula becomes (4-2)*180/4 = 90 degree. Therefore, the measure of each interior angle in a quadrilateral is 90 degrees. This is true for any convex quadrilateral. But when a quadrilateral has one angle less than 90 degree, it becomes concave and no longer follows this rule. In other words, not all quadrilaterals will have interior angles that measure 90 degrees each. It's important to note that, the sum of all interior angles of a quadrilateral is always 360 degree.To find the value of x (the measure of an interior angle in a quadrilateral) using the formula (n-2) * 180 / n, you need to know that a quadrilateral has 4 sides (n = 4).
Given that the interior angle is 69, we can substitute n = 4 into the formula:
x = (4-2) * 180 / 4
This simplifies to:
x = (2) * 180 / 4
x = 90
Therefore, the measure of an interior angle in a quadrilateral is 90 degrees. Since you have given one of the angle as 69 degree, we can say that the quadrilateral is not a convex quadrilateral.
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Which of the following values is not an irrational number?
the cube root of 80, pi, 2.8×[tex]\sqrt{7}[/tex] [tex]\sqrt{59}[/tex]
20 points.
We can write that -
√80 → rational.π → irrational.2.8 x √7 → rational.√59 → irrational.What are irrational numbers?An irrational number is a number that cannot be expressed as a fraction p/q for any integers {p} and {q}.
Given are the numbers to be verified as rational or irrational.
√80 → Given number is rational as the value is equivalent to 8.94427190999916.π → Given number is irrational.2.8 x √7 → 2.645751311064591 x 2.8 → 7.408103670980854 → Given number is rational.√59 → Given value is Irrational. The value is 7.681145747868608.Therefore, we can write that -
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You have been asked to find the value of f(-5) for the function
f(x)=3x² -2x+5
Which of the following options is NOT a possible way to evaluate that function and find the correct answer?
A. Graph the equation and look at the table to find the y-value when x=-5
B. Graph the equation and find the y-value of the ordered pair when x=-5
C. Substitute (-5) wherever there is an x and solve using a calculator
D. See what x is when y=-5
Answer: D option is not the correct way to evaluate.
Step-by-step explanation: To find out f(x) which is also known as y.
so, f(x) = 3x^{2} - 2x + 5
f(-5) = 3 × 25 - 2(-5) + 5
= 75 + 10 + 5
= 90
Here we see here that four alternatives are given to find out but the option D is not appropriate.
A. By drawing a graph one can easily find out the value here we will try to find out the graph line and then by drawing it on the graph.
B. Similar to option A we can find out using option B
C. I had also used the same method to calculate for the value of (-5) above so this option is also correct.
D. When y= -5 then if we find out it for x will not work as here we have to find out f(x) which is function of X i.e. simply Y. so this won't work.
The following option is not a possible way to evaluate that function:
See what x is when y=-5.
The correct option is D.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
We have a function,
f(x)=3x² -2x+5.
To find the solution:
Step 1:
Graph the equation and look at the table to find the y-value when x=-5
Alternate step :
Graph the equation and find the y-value of the ordered pair when x=-5
Or,
Substitute (-5) wherever there is an x and solve using a calculator.
Therefore, option D is not the right way to find the solution.
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PLEASE HELPPPPPP PLEASE
2 3/4 multiplication 3 1/5
Multiply use gif to simplify whenever possible
Answer:
[tex]8 \frac{4}{5} [/tex]
Step-by-step explanation:
convert mixed numbers to fractions
[tex] \frac{11}{4} \times \frac{16}{5} [/tex]
multiply
[tex] \frac{176}{20} [/tex]
simplify
[tex]8 \frac{4}{5} [/tex]
When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:
-x2 + 3x − 8.
-x2 + 3x + 8.
-5x2 + 3x.
5x2+ 3x− 8.
Answer: When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:
-x2 + 3x − 8.
To simplify the expression you can start by combining like terms:
-3x^2 - (-2x^2) = -3x^2 + 2x^2 = -x^2
then,
-x^2 + 2x -4 - (-x -4) = -x^2 + 2x -4 + x +4 = -x^2 + 3x
And finally,
-x^2 + 3x − 8.
Step-by-step explanation:
alan has 552 vacation photos he puts 12 photos on each page how many pages does he need for all his photos
Answer:46
Step-by-step explanation: just divide 552 by 12
its 46
ail.lausd.net bookmarks
Question 6 (1 point)
(05.01 MC)
What is the solution to the equation
O a
Ob
Oc
Od
m=-
m=
m =
m=
54
15
11
4
54
96
4
√8
4(m-3)?
Answer:
d. m = 9/4
Step-by-step explanation:
You want the solution to ...
1/√8 = 4^(m -3)
Powers of 2It will be convenient to rewrite this equation in terms of powers of 2.
[tex]\dfrac{1}{\sqrt{8}}=4^{(m-3)}\qquad\text{given}\\\\\dfrac{1}{2^{\frac{3}{2}}}=(2^2)^{(m-3)}\qquad\text{using powers of 2}\\\\-\dfrac{3}{2}=2(m-3)\qquad\text{equate the exponents of 2}\\\\-\dfrac{3}{4}=m-3\qquad\text{divide by 2}\\\\\boxed{m=\dfrac{9}{4}}\qquad\text{add 3}[/tex]
If the center of a circle is at (3,-8) and the diameter is 10 fine the following:
a.) radius
b.) Equation of the circle
Answer:
see explanation
Step-by-step explanation:
(a)
the radius r of a circle is half the diameter , so
r = 10 ÷ 2 = 5
(b)
the equation of a circle in standard form is
(x - h )² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r the radius
here (h, k ) = (3, - 8 ) and r = 5 , then
(x - 3)² + (y - (- 8) )² = 5² , that is
(x - 3)² + (y + 8)² = 25 ← equation of circle
There are 20 students in Mr. Ling's mathematics class. Each student is equally likely to be chosen to
solve the Problem of the Day. Shania is in this class. What is the probability she will be chosen?
A. 0,05
B 0.20
0.25
D₂
0.50
Answer: The probability is 1/20, or in decimal form 0.05 (probability of 5%)
Step-by-step explanation:
This is because there are 20 people in the class, including Shania. Since they are all equally likely and Shania is 1 out of the 20 students in the class, she has a 1 in 20 chance (which when simplified equals 0.05). When the symbol is added, you move the decimal 2 points to the right to get your probability, because a value of 1 is a 100% probability (as shown by the method took to find probability previously in the explanation, Shania/the number of people in the class: 1/20).
On an algebra test, the highest grade was 14 points higher than the lowest grade. The sum of the two grades was 172. Find the lowest grade.
The highest grade point is 93 and the lowe
Calculating Unknown Quantities:Here we use the Linear Equation concept to calculate the unknown highest and lowest grades. Since we don't know both grade points we represent them with two different variables and will form mathematical expressions as given in the problem.
Solve the equation for the value of variables to get the number of points in given grades.
Here we have
The highest grade was 14 points higher than the lowest grade.
Let 'x' be the highest grade and 'y' be the lowest grade
From the given data,
=> x = y + 14 ---- (1)
Given the sum of the two grade points is 172
=> x + y = 172 --- (2)
Substitute x = y + 14
=> y + 14 + y = 172
=> 2y + 14 = 172
=> 2y = 158
=> y = 79
Substitute y = 79 in (1)
=> x = 79 + 14
=> x = 93
Therefore,
The highest grade point is 93 and the lowest grade point is 79.
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