Does 9,12,15 form a right triangle

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

Note that  15^2 = 122^ + 9^2  ( 225 = 144 + 81 = 225).

So by the Inverse of Pythagoras Theorem  it is a right triangle.

Answer 2

The given values of side makes a proper right angle triangle.

To determine if the three given side lengths, 9, 12, and 15, form a right triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's check if this holds true for the given side lengths:

[tex]9^2 + 12^2 = 81 + 144 = 225\\\\15^2 = 225[/tex]

The sum of the squares of the two shorter sides, 9 and 12, is equal to the square of the longest side, 15. This satisfies the Pythagorean theorem.

Therefore, the side lengths 9, 12, and 15 do form a right triangle.

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Related Questions

Three less than 11 times a number
is the same as the number
decreased by 13. Find the
number.​

Answers

Answer: x = -1

Calculation/Explanation:

11x-3 = x-13

11x-3 -x = x-13 -x

10x-3 = -13

10x-3 +3 = -13 +3

10x = -10

10x /10 = -10/10

x = -1

a number w divided by 5 equals 6

Answers

Answer:

w = 30

Step-by-step explanation:

w ÷ 5 = 6

Multiply both sides of the equation by 5

w = 30

Hope this helps :)

Answer:30

Step-by-step explanation:

5 divided by 30 is 6

What is the measure of ABC?

Answers

Answer:

120

Step-by-step explanation:

-b+3y-6b+2y simplify the expression

Answers

Answer:

5b+5y

Step-by-step explanation:

Rene’s parents have put a half hour daily limit on how long the tv is watched in their house. What is the maximum number of hours that can be watched over 7 days if they stick to the limit?

Answers

Answer:

3.5

Step-by-step explanation:

30 · 7 = 210

210 ÷ 60 = 3.5

4.5(32 divided by 8) +12

Answers

The answer is

30
4.5 (4) + 12
18 + 12
30

99% Verified

Hope This Helps!

- AnswerKey74

The sum of two numbers is 14. The larger number minus three times the lesser number is -2. What is the lesser number?
A) 10
B) 12
C) 4
D) 3

Answers

Answer:

c) 4

Step-by-step explanation:

The sum of two numbers is 14. The larger number minus three times the lesser number is -2

To solve this question, we need to write the statement mathematically;

Let the two numbers be x and y

"The sum of two numbers is 14" can be mathematically written as x+y = 14

and

"The larger number minus three times the lesser number is -2" can be mathematically written as x -  3y  = -2

x + y = 14  ------------------(1)

x - 3y= -2 -------------------(2)

Subtract equation (2) from equation (1)

[x - x = 0          y - (-3y)=4y     14-(-2)=16]

4y  = 16

To get the value of y divide both-side of the equation by 4

4y/4 = 16/4

y  =   4

Substitute y=4 into equation (1)

x + y =14

x +4 =14

Subtract 4 from both-side of the equation

x + 4 -4  = 10]-4

x = 10

x=10 and y =4

Therefore the lesser number is 4

Factor this expression plz ...
14r - 8

Answers

Answer:

2 ( 7r - 4 )

Step-by-step explanation:

14r - 8

To factor this expression, you must pull the factor 2 outside the expression by basically reversing the distributive property:

14r - 8  =  2 ( 7r - 4 )

Sarah has 2 apples bob eats 1 how much does sarah have after bob ate one

Answers

Answer:

sarah has 1 apple left

5x-6=10-3x solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

Start by combining like terms.

Collecting x terms onto the left side results in 8x;

collecting constants onto the right side results in 16.  

Therefore, 8x = 16, and x = 2

The answer is x=2
1. Add 3x to both sides
2. Add 6 to both sides
3. Divide both sides by 8

9. Lula bought new furniture on her credit card for $993. If she pays it off in 6 months there will be no interest on her purchase. How much will her payments be if evenly distributed over 6 months?

Answers

Answer:

$165.50 dollars

Step-by-step explanation:

$993 / 6 = $165.50

Lula will need to pay $165.50 each month for 6 months to pay off her $993 furniture purchase without interest.

Lula purchased furniture on her credit card and plans to make payments over a period of 6 months with no interest charged. To calculate the monthly payment amount, you would divide the total cost of the furniture by the number of months over which she plans to pay.

The formula to find out the monthly payment is:

Monthly Payment = Total Cost / Number of Months

So for Lula, it looks like this:

Monthly Payment = $993 / 6

Monthly Payment = $165.50

Therefore, if Lula pays $165.50 each month, she will have the furniture paid off in 6 months without incurring any interest.

Which lines are perpendicular to the line y – 1 = One-third(x+2)? Check all that apply.

Answers

Answer:

Lines that have a slope of -3

Step-by-step explanation:

Take the negative reciprocal of 1/3 and all lines that have that as the slope are perpendicular

Answer:

1. y + 2 = –3(x – 4)

3. y = -3x – 5/3

5. 3x + y = 7

Step-by-step explanation:

because yes

There are 8 male teachers and 5 female teachers who teach English in the school. What is the ratio of the number of male teachers to the number of female teachers?

Answers

Answer:

8:5

Step-by-step explanation:

Given there are 8 male teachers and 5 female teachers,The ratio of number of male teachers to female teachers

= no. Of male teachers/no. Of female teachers

That’s

8/5

8:5

8:5 = 160%

theres not really an explanation to this hope it helps :)

12. What is the rule for the translation
below?
K
of ditt
5
.
4
3
2
1
got

Answers

Answer:

(-5)

( 1 )

Step-by-step explanation:

the image is 1 units upper than object and 5 units behind the object therefore

x=-5

y=1

1 unit down, 5 units to the left. (Focus on each “point” or “corner” and see how it translates to the second shape

For the geometric sequence: 112.5, 225, 450, 900,..., find the 21st term.

Answers

Answer:

Step-by-step explanation:

Final answer:

The 21st term of the given geometric sequence can be found by using the formula for the n-th term of a geometric sequence: a_n = a_1 * r^(n-1). In this case, it is 112.5 * 2^(21-1).

Explanation:

In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this case, 225 divided by 112.5 gives us the common ratio of 2. Therefore, to find the 21st term of the given geometric sequence, we use the formula: a_n = a_1 * r^(n-1). Here, a_n is the n-th term, a_1 is the first term, r is the common ratio and n is the term which we want to find.

So, substituting the given values into the formula, a_21 = 112.5 * 2^(21-1). Calculate this and you'll have the 21st term of the geometric sequence.

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6. The population of a town is 680 000 correct to the nearest 10 000. Write down
(a) The least possible population of the town.
(b) The greatest possible population of the town.​

Answers

Answer:

a) 675 000

b) 685 000

Step-by-step explanation:

The population of a town is 680 000 correct to the nearest 10 000.

a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000

The lower bound is:

680 000-5000=675,000

Therefore the least possible population of the town is 675 000

b) We repeat the same process to find the upper bound

680 000+5000=685,000

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2.

Answers

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

The complete question is

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought  a total of 14 peaches and bananas altogether. Determine the number of peaches and the  number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought  a total of 14 bananas and peaches altogether

so

[tex]x+y=14[/tex] -----> equation A

She bought $20.80 worth of bananas and peaches

so

[tex]0.80x+2y=20.80[/tex] -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Marcy would not reveal her equation, but she said that she could multiply the left side by 4 and the right side by 8 and still maintain its balance. mr. kim verified she was correct . What is Marcys equation

Answers

Answer:

4x=8y

Step-by-step explanation:

Ok so a number multiplied by 4 equal  a number multiplied by 8.

Both numbers can't have the same variable because if they had the same varable that means they are the same number which in that case means Marcy is wrong but we know she is right because Mr.Kim said so.

let's plug in numbers. If they had the same variable it would be:-4x=8x

                                                                                         let x=2,    4(2)=8(2)

                                                                                                           8=16 not true

if the variables were not the same:-4x=8y

                                   let x=4

                                   let y=2          4(4)=8(2)

                                                          16=16 true                                    

A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?

Answers

Answer:

by 2

Step-by-step explanation:

Answer: 2 seconds

Step-by-step explanation:

A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?

Write the ratios for sin M, and tan M

sin M =

Answers

Answer:

see explanation

Step-by-step explanation:

sin M = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KL}{ML}[/tex] = [tex]\frac{2\sqrt{11} }{12}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]

tan M = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{2\sqrt{11} }{10}[/tex] = [tex]\frac{\sqrt{11} }{5}[/tex]

Dan has 4 groups of 10 and 3 left over.

Answers

Is there anything else? Like what is the question asking?

PLEASE HELP PEOPLE MAKE IT LOOK LIKE THEY ARE ANSWERING IT THEN THEY QUIT PLEASE HELP

Answers

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] and [tex]f(x)=64[/tex]

To find the solutions when f(x) = 64.

Both are equations of f(x), so equate the given equations, we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

49 can be written as 7².

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.

Find the area of the triangle. Round your answer to the nearest thousandths.

A=1/2 bh

Answers

Answer:

Step-by-step explanation:

height of triangle=√(11²-8.6²)=√(11+8.6)(11-8.6)=√(19.6×2.4)

=√(4×4.9×4×0.6)=4√(4.9×0.6)=4√2.94

area of triangle=1/2 bh=1/2×2×8.6×4√2.94

=34.4×√2.94

≈58.984

What is the y-intercept (b value) of a line that is PERPENDICULAR to the line y = -x- 2and through
the point (-3,-7)

Answers

Answer:

The y -intercept is the point  (0, -4).

Step-by-step explanation:

The slope of the perpendicular line = -1/m

= -1/-1 = 1.

So it is y = x + b.

To find b we substitute the point (-3, -7):

-7 = -3 + b

b = -7 + 3 = -4.

The y -intercept is the point (0, -4).

An article reports that blue eyed people earn less than brown eyed people, with these numbers: average blue-eyed salary $35,000, average brown-eyed salary $37,000, p-value 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?

a. The results are nowhere near to being statistically significant.
b. The results are almost but not quite statistically significant.
c.The results are just barely statistically significant.
d.The results are strongly statistically significant.

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

a.19
b.90
c.100
d.10! (10 factorial)

Answers

Answer:

a.

Step-by-step explanation:

A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. It indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null is correct (and the results are random). Therefore, we reject the null hypothesis, and accept the alternative hypothesis.

Question 1: a. The results are nowhere near to being statistically significant.Question 2: b.90

------------------------

First question:

The first question involves the test of an hypothesis.

Tests have significance levels, which normally are either 0.01, 0.05 or 0.1. If the p-value is less than the significance level, the results are significant, while if they are more, the results are not significant.

In this question, the p-value is 0.45, which is considerably more than any significance level, meaning that the results are nowhere near to being statistically significant, and the correct option is:

a. The results are nowhere near to being statistically significant.

A similar problem can be found at https://brainly.com/question/22968227

------------------------

Second question:

The order in which the people are chosen is important, as the first and second person chosen have different roles, and thus, the permutations formula is used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, there are 2 people from a set of 10, so:

[tex]P_{10,2} = \frac{10!}{8!} = 10\times9 = 90[/tex]

90 possible combinations, option b.

A similar problem can be found at https://brainly.com/question/24245547

24x-12-43x-6
Simplify.
Please help!! ASAP!!

Answers

Answer:

-30

Step-by-step explanation:

Hope this helps! Brainliest is appriciated.

Answer:

[tex]24x - 12 - 43x - 6 \\ 24x - 43x - 12 - 6 \\ - 19x - 18[/tex]

Which statement is true of triangles P and Q?

Answers

Answer:

The answer is C

Answer:

The answer is C

Step-by-step explanation:

All of the side lengths on the pre-image multiplied by 3 equal out to the side lengths proportional, and the angles are all the same, making them congruent. Please consider giving brainliest.

Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) EA DE = CB AC B) DE EA = CB AC C) DE EA = AC CB D) EA DE = AC CB

Answers

Answer:

[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex]

Step-by-step explanation:

If ant two given triangles are SIMILAR, then they have equal corresponding angles and their corresponding sides are PROPORTIONAL.

For example: if Δ ABC ≈ Δ PQR, then

∠A  = ∠P  , ∠B  = ∠Q  and ∠C  = ∠R

and [tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}[/tex]

Now, here given:  Δ ADE ≈ Δ ABC

Then by the SIMILAR postulate their corresponding angles are equal and their corresponding sides are Proportional.

[tex]\implies \frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}[/tex]    ............. (1)

Consider from above:

 [tex]\frac{DE}{BC} = \frac{AE}{AC}\\\implies \frac{DE}{AE} = \frac{BC}{AC}[/tex] ............. (2)

Here, the given options are:

[tex]A) \frac{EA }{DE} =\frac{CB}{AC}[/tex]     FALSE

[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex]   TRUE    (from 2)

[tex]C) \frac{DE }{EA} =\frac{AC}{CB}[/tex]   FALSE

[tex]C) \frac{EA}{DE} =\frac{AC}{CB}[/tex]    FALSE

Answer:

b

Step-by-step explanation:

took test

Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 4, b = 4, c =

Answers

Answer:

Answer is 5

Step-by-step explanation:

if you have any doubts see the image

Final answer:

The Pythagorean Theorem was used on a right triangle with sides of length 4 to find that the hypotenuse has a length approximately equal to 5.7.

Explanation:

Here, your task is to apply the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, both a and b are given as 4. We can therefore calculate c as follows:

First, square the lengths of both a and b: 4^2 + 4^2 = 16 + 16Combine like terms: 16 + 16 = 32Find the square root of the sum to find c: sqrt(32) is approximately 5.7 (to the nearest tenth).

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quadrilateral PQRS is a kite. M

Answers

Is this the whole question?
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