Mathematics Middle School

Pythagorean Theorem
Is this a right triangle?
a = 15 b = √207 c = 12√3

*Please Explain!!*

Answers

Answer 1
Pythagorean Theorem: a^2+b^2=c^2

Plug in values.

15^2+sqrt(207)^2=(12sqrt(3))^2
225+207=432
432=432

Yes, this is a right triangle.
Answer 2
Using the Pythagorean Theorem, a²+b² = c², if we plug these values in the left and right sides should be equal. 15² is 225, √207² is 207, and (12√3)² is 432. Adding 225 and 207, we get 432; both sides are equal, so this is a right triangle.
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Hope this helps!

Related Questions

can someone help ?? please

Answers

The y-intercept is the starting point. Since the temperature started at -7, we know that b in y = mx + b has to be -7. m is the slope which in our case is 3 because the temperature is changing every hour. So, because the temperature is going up, it's +3. Our equation should be y = 3x - 7.
It’s the 3rs one that is what I got

A rectangular prism is completely packed with 90 cubes of edge length 1/2 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?

A: 11 unit cubes and 1 smaller cube of volume 1/8 cubic inch

B: 22 unit cubes and 4 smaller cubes of volume 1/8 cubic inch each

C: 11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each

D: 22 unit cubes and two smaller cubes of volume 1/8 cubic inch each

Answers

The answer is C: 11 cubes and 2 smaller cubes of volume 1/8 cubic inch each. Note that the volume of a cube is V=measurement of the side to the third power. Since one side measures 1/2 inch, we get the volume per cube as V=1/2 inch *1/2 inch * 1/2 inch = 1/8 cubic inch. For the total volume of the rectangular prism, V= no. of cubes* volume per cube; hence V= 90 cubes * 1/8 inch = 11 1/8 cubic inch.
 So we come up with the answer of letter C.

Answer:

C. (11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each.)

Step-by-step explanation:

90 cubes * 1/8 inch = 11 1/8 inch.

How many subsets does A​ have?
Let A
equals
=
StartSet 9 comma 10 comma 11 comma 12 comma 13 comma 15 EndSet
{9,10,11,12,13,15}.

Answers

A set with n elements has 2^n subsets, including the empty set and the complete set.

Your set has 2^6 = 64 subsets.

solve the problem 22=4+8e-2e

Answers

Answer is e=6/5 for this problem

The smaller rectangle was scaled by a factor of 4 to produce the larger figure.

Use the drop-down menus to show the missing dimensions of the scaled figure.

Answers

Answer: The length is 48 and the width is 32. The area of the larger shape is 1536.

When the size increase by a factor of 4, we multiply all the values by for.

12 x 4 = 48
8 x 4 = 32

Our new values are 48 and 32.

Now, multiply those to find the new area.  48 x 32 = 1536.

Answer:

Step-by-step explanation: so the problem is asking for the missing dimensions of the rectangle. The smaller rectangle has a length of 12 inches, a width of 8 inches, and an area of 96 inches. To clarify, 8x12 is 96 so when looking at the bigger rectangle, it says that it was scaled by a factor of 4.

The Answer-

Length:48

Width:32

Area:1,536

Can someone help me with this question please?

Answers

We are given a parallelogram with sides:

3 1/8 and 2 3/16.

Let us convert each into improper fraction.

3 1/8 = 25/8

2 3/16 = 35/16

Now perimeter of parallelogram is given by:

[tex] P = 2(sum of non parallel sides) [/tex]

[tex] P= 2(\frac{25}{8} + \frac{35}{16}) [/tex]

Now we have to find lcd of 8 and 16.

lcd of 8 and 16 is 16.

[tex] P= 2(\frac{25*2}{8*2} + \frac{35}{16} ) [/tex]

[tex] P=2( \frac{50}{16} + \frac{35}{16} ) [/tex]

[tex] P= 2(\frac{50+35}{16} ) [/tex]

Perimeter = 85/8 km

Answer : Perimeter of parallelogram is given by 85/8 km.

Which ratio can be used to convert meters to kilometers

Answers

Hello!

We can use the ratio of 1000meters=1km

So if we have say 100meters and want this unknown we simply take
100m/1*1m/1000km=0.100km

We can also think of meters and kilometers in powers of ten.

1m=1.00*10^-3km=0.001km

Hope this helps some! Any questions please just ask! Thank you!!

Stewart wants to know how many students in his school enjoy watching sports on TV. He asks this question to all 25 students in his science class and finds that 60% of his classmates enjoy watching sports on TV. He claims that 60% of the school's student population would be expected to enjoy watching sports on TV. Is Stewart making a valid inference about his population?

Yes, it is a valid inference because he asked all 25 students in his science class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
No, it is not a valid inference because he asked all 25 students in his science class instead of taking a sample from his math class

Answers

Your answer would be, No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

Answer:

No, it is not a valid inference because his classmates do not make up a random sample of the students in the school.

Step-by-step explanation:

solve the compound inequality

Answers

In the middle part, you have x + 4.
You want x alone, so subtract 4 from each of the 3 parts.

[tex] -3 \le x + 4 \le 13 [/tex]

[tex] -3 - 4 \le x + 4 - 4 \le 13 - 4 [/tex]

[tex] -7 \le x \le 9 [/tex]

[tex] x \ge -7 [/tex]   and   [tex] x \le 9 [/tex]

Audrey is buying a nee car for $32,998. She plans to make a down payment of $4,200. If she's to make a monthly payments of $525 for the next five years, what APT has she paid?

Answers

4,200+525(5×12)
4,200+525(60)=
4,200+31,500=35,700

Which explanation justifies how the area of a sector of a circle is derived?

- Determine how many triangles can fit into a circle. Divide 360° by the number of triangles. Multiply the quotient by ​the area of the circle​ .

- Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

- Partition the circle into unit squares. Determine the area of the sector and multiply the area by the degree of the circle.

- Determine the degree of the sector. Divide by 180° and then multiply it by the area of the triangle the sector is in.

Answers

the answer is option B

hope it helps!!

The statement that justifies how the area of a sector of a circle is derived is:

Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

What is an area?

This refers to the quantity that expresses the extent of a region on the plane such as on a curved surface.

Furthermore, the area of sector of a circle is talking about the amount of space enclosed within the boundary of the sector.

Generally, it is explained in step that we first calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

Therefore, the Option B is correct.

Read more about sector of a circle

brainly.com/question/22258287

#SPJ6

How would you solve this problem? Help Please asap

Answers

I'm not good at fractions but I'm pretty sure it's A, but I'd get a second opinion
i think it might be C because if it is 2/ 1/6 then you would have to do KFC which is keep flip and change it if you keep 2 you would add a one so it would be 2/1 and since its divison you would flip it to be mutiplaction because that is the invers opration and and you would change 1/6 to 6/1 which is flipping it
 
Hope this helps:)
Plz give branliest would really apperciate it

Martha and steve have 95 colored pencils. If Martha has 4 times as many as steve, how many does Steve have

Answers

Answer:

Steve has 19 pencils

Step-by-step explanation:

4 times of 19 is 76

So, Martha has 76 and Steve has 19

76+19=95

hope this helps!

Determine whether the following expressions are equivalent to 3(4+2b) . Expressions Yes - Yes No - No 24b 6(b+2) (12b+2b) 6b+12

Answers

6b + 12

6(b+2)

This would help :))

What is the slope of the line passing through the point (-3,-1) and the origin?

Answers

The slope is rise of 1, run of 3 so 1/3. In an equation it would be y = 1/3x

irrational number of 5

Answers

Square root of 5 is 2.236067977....

Hope this helped
~Melis
First square root 5
Which equals 2.2360679....

what was sal finding when he plugged t=10 into the expression 5t+3?

a. The cost of 10 tickets
b. The cost of 53 tickets
c. The number of tickets that would cost 10 dollars
d. The number of tickets that would cost 53 dollars

Answers

Answer:

  a. The cost of 10 tickets

Step-by-step explanation:

We don't know what the expression is supposed represent, but the answer choices suggest that ...

  c = 5t +3

represents the cost of t tickets. Then, when t=10, c = 53 will represent the cost of 10 tickets.

What is the slope of the line that passes through the points (2, 3) and (–2, 6)?

Answers

The slope is three - fourths
the slope would be 4/3

Find the distance between (6,-3) & (-1, 7) on the CCS

Answers

Answer:

9 or (5,4)

Step-by-step explanation:

Just subtract it on each side :)

50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. Use the simulation data to find the probability. Round to the nearest percent.

Answers

the answer is either a.double sided coin heads females, tails males or
d. use a spinner with 50 parts and assign 20 parts as female and 30 parts for male

To find the probability that 20 or more out of 50 babies are female, use a binomial distribution with parameters n=50 and p=0.5. Calculate the cumulative probability for P(X ≥ 20). Based on a potential sample output, the probability rounded to the nearest percent is 95%.

Finding the Probability Using Binomial Distribution

The question is about finding the probability that 20 or more out of 50 babies born today are female, given that 50% of babies are born female. This scenario can be modeled using a binomial distribution.

In a binomial distribution, n represents the number of trials (in this case, 50 babies), and p represents the probability of success on a single trial (in this case, the probability of a baby being female, which is 0.5). The binomial distribution formula is:

P(X = k) = (nCk) * (p^k) * ((1-p)^(n-k))

Where nCk represents the combination of n items taken k at a time.

To find the probability that 20 or more out of 50 babies are female, we need to calculate the cumulative probability from 20 to 50:

Use a binomial table or software to find P(X ≥ 20) for n=50 and p=0.5.If using a calculator or software: P(X ≥ 20) = 1 - P(X < 20).

After calculating or using a binomial table, you might get a result. For example, suppose the cumulative probability is found to be 0.9523. Rounded to the nearest percent, the probability is 95%.

You charged $65 dollars on a credit card and you returned a item hat was pitched with the card and it cost $24? Then u bought an item with he card that cost $24 dollars

Answers

ur card balance is the same then
your answer should be 65 coz your adding 24 then taking 24

There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple trees are there? Which equation can be used to solve this problem?

Answers

The answer is 7 

56 divided by 8 is 7

Hope this helped :)

(Please help HURRY!) (Don't delete this!) (I WILL GIVE BRAINY!)

1. ABC undergoes a dilation, with a scale factor of 8, to form A'B'C'.

Side A'B' is 8 times the length of side AB.

What is the area of A'B'C', compared to the area of ABC?

A. The area of A'B'C' is 1/8 of the area of ABC

B. The area of A'B'C' is 1/64 of the area of ABC

C. The area of A'B'C' is 8 times the area of ABC

D. The area of A'B'C' is 64 times the area of ABC






2. DEF undergoes a dilation, with a scale factor of 4, to form D'E'F'.

Side D'E' is 8 times the length of side DE.

What is the area of D'E'F', compared to the area of DEF?

A. The area of D'E'F' is 1/4 of the area of DEF

B. The area of D'E'F' is 1/16 of the area of DEF

C. The area of D'E'F' is 4 times the area of DEF

D. The area of D'E'F' is 16 times the area of DEF






3. ABC undergoes a dilation, with a scale factor of 3, to form A'B'C'.

Side A'B' is 3 times the length of side AB.

What is the area of A'B'C', compared to the area of ABC?

A. The area of A'B'C' is 1/3 of the area of ABC

B. The area of A'B'C' is 1/9 of the area of ABC

C. The area of A'B'C' is 3 times the area of ABC

D. The area of A'B'C' is 9 times the area of ABC

Answers

1. A or B

2. C

3. I think B

area of triangle is = 1/2 * base * altitude

1- each side is made 8 times

so the net change in area is 64 times

The area of A'B'C' is 64 times the area of ABC

2- each side is made 4 times

so the net change in area is 16 times

The area of D'E'F' is 16 times the area of DEF

3- each side is made 3 times

so the net change in area is 9 times

The area of A'B'C' is 9 times the area of ABC

What is the following product? 4 square root 7

Answers

"4√7" means four times the square root of 7, approximately equal to 10.582, an irrational number with decimal expansion.

The expression "4√7" represents the square root of 7, multiplied by 4. Let's break it down step by step:

1. Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9. Similarly, the square root of 25 is 5 because 5 × 5 = 25.

2. √7: This symbol (√), called the radical symbol, represents the square root. So, √7 represents the square root of 7, which is an irrational number, meaning it cannot be expressed as a simple fraction and has decimal places that go on indefinitely without repeating.

3. 4√7: This means you're taking the square root of 7 and then multiplying it by 4. So, if you calculate it, it's like doing 4 times the square root of 7.

To give a numerical example, if we want to find the value of 4√7:

  4 × √7 ≈ 4 × 2.6457513110645905905016157536393... (approximately)

Thus, 4√7 is approximately equal to 10.582, depending on how many decimal places you round to.

In summary, "4√7" represents four times the square root of 7, which is an irrational number, approximately equal to 10.582.

Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cost of lessons for a student per hour is $25.

Answers

I added screenshots with the complete question as well as the available choices.

Answer:
25 = [tex] \frac{100+15h}{h} [/tex]

which is the first option

Explanation:
We given that:
He charges $100 as enrollment fees and $15 per hour
Given that the number of hours is h, the total cost for h hours will be:
cost = 100 + 15h ...........> I

We are also given that:
The average cost per hour is $25.
This means that:
[tex] \frac{cost}{hour} [/tex] = $25 ............> II

Divide both sides of equation I by h:
[tex] \frac{cost}{hour} [/tex] = [tex] \frac{100+15h}{h} [/tex]

Substitute with [tex] \frac{cost}{hour} [/tex] = 25 to get the equation used to solve for h as follows:
25 = [tex] \frac{100+15h}{h} [/tex]

Hope this helps :)



a triangle has interior angles measuring 36° and 112° which triangles are similar to this triangle select true or false for each triangle

Answers

Answer:

Triangle with interior angles measuring 36° and 32°

Triangle with interior angles measuring 32° and 112°

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding angles are congruent

If two triangles have two equal internal angles, then the triangles are similar by AA Similarity Postulate

step 1

Calculate the measure of the third internal angle

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

so

Let

x------> the measure of the third internal angle

[tex]x\°+36\°+112\°=180\°\\ \\x=180\°-148\°\\ \\x=32\°[/tex]

step 2

Verify each triangle

case A) Triangle with interior angles measuring 36° and 32°

Is true -----> by AA Similarity Postulate

case B) Triangle with interior angles measuring 36° and 148°

Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees

case C) Triangle with interior angles measuring 32° and 112°

Is true -----> by AA Similarity Postulate

case D) Triangle with interior angles measuring 112° and 148°

Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees

Answer:

agree

Step-by-step explanation:

2 × 7/8 as a model how do I draw it as a model

Answers

One way to do it is you can draw two sets of 7/8.


You can draw 8 tiles, and color in 7.

Draw that two times.

That’s one way, but that might not be the way you learned it.


Hope this helped anyways!

HELP! Multiplying radicals. Questions on photo.

Answers

These are 10 questions and 10 answers

1) [tex] \sqrt[3]{24} . \sqrt[3]{45} [/tex]

Answer: third option 6∛5

Explanation:

24 = 2^3 * 3

45 = 3^2 * 5

=> 24 * 45 = 2^3 * 3^3 * 5

=> (∛24).(∛45) = ∛[ (2^3).(3^3).5 ] = (2)(3)∛5 = 6∛5

2) [tex] \sqrt[5]{4x^2} . \sqrt[5]{4x^2} [/tex]

Answer: second option.

Demostration:

 [tex] \sqrt[5]{4x^2} . \sqrt[5]{4x^2} = \sqrt[5]{4^2x^4} = \sqrt[5]{2^4x^4} = \sqrt[5]{16x^2} [/tex]

3) [tex] \sqrt{10} . \sqrt{10} [/tex]

Answer: first option 10

Justification:

√10 . √10 = (√10)^2 = √(10^2) = √100 = 10

4) [tex] \sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} [/tex]

Answer: fourth option: 7

Explanation:

[tex] \sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7}= (\sqrt[4]{7^})^4= \sqrt[4]{7^4}=7 ^{4/4}=7^1=7[/tex]

5) [tex](x \sqrt{7} -3 \sqrt{8}).(x \sqrt{7}-3 \sqrt{8}) [/tex]

Answer: the third option: 7x^2 - 12x√14 + 72

Solution:

Notice that it is the two factors are identical, so this is a perfect square binomial:

(x√7 - 3√8)^2 = (x√7)^2 - 2*(x√7)(3√8) + (3√8)^2 = 7x^2 - 6√(56)x + 72 =

= 7x^2 -(6)(2)x√14 + 72 = 7x^2 - 12x√14 + 72

6) √12 . √18

Answer: the fourth option 6√6

Explanation:

√12 . √18 = √ (2 . 2 . 3 . 2 . 3 . 3) = √ [( 2^3) . (3^3)] = 2 . 3 √6 = 6√6

7) [tex] \sqrt{y^3} . \sqrt{y^3} [/tex]

Answer: first option y^3

Justification:

[tex] \sqrt{y^3} . \sqrt{y^3} =( \sqrt{y^3} )^2 =(y^3)^{2/2}=y^3[/tex]

8) ∛d . ∛d . ∛d

Answer: first option: d

Explanation:

∛d . ∛d . ∛d =     [tex]( \sqrt[3]{d}) ^3 = d{3/3}=d^1=d[/tex]

9) [tex] \sqrt{5x^8y^2} . \sqrt{10x^3} . \sqrt{12y} [/tex]

Answer: second option

Explanation:

[tex] \sqrt{5x^8y^2} . \sqrt{10x^3} . \sqrt{12y} = \sqrt{(5.10.12)x^8y^2x^3y}= \sqrt{600x^{11}y^3} =[/tex]

[tex]=10x^5y \sqrt{6xy} [/tex]

10) (∛4) . √3

Answer: third option     [tex] \sqrt[6]{432} [/tex]

Explanation:

[tex] \sqrt[3]{4} . \sqrt{3} = \sqrt[6]{4^2} . \sqrt[6]{3^3} = \sqrt[6]{16.27} = \sqrt[6]{432} [/tex]

Answer the manager one

Answers

256x24 is 6,144, so the manager ordered a total of 6,144 football cards.

Use 3.14 for and round your final answer

Answers

This is your equation[tex]V = \frac{4}{3} * \pi * 8 ^{3} [/tex]

4/3 x 3.14 x 8 ^{3}
4/3 x 3.14 x 512
4/3 x 1607.68
2143.57 (I also got 2144.66 if the first one doesn't work)
Other Questions
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