Use the Pythagorean theorem to find the value of b²

Use The Pythagorean Theorem To Find The Value Of B

Answers

Answer 1

So what is the Pythagorean Theorem:

  ⇒ it states the sum of both leg's lengths squared is equal to

      ⇒  hypotenuse's length squared

  (look at the image attached for a better explanation)

To find out [tex]b^2[/tex], let's look to the Pythagorean equation to see what we are missing:

      [tex]a^2 + b^2 = c^2\\(10^2) + b^2 = 325\\b^2 = 325 - 10^2\\b^2 = 325 - 100 = 225\\b^2 = 225[/tex]

a = 10 ⇒ [tex]a^2[/tex] = 100[tex]c^2 = 325[/tex]

So b^2 = 225 ⇒ Choice B

Hope that helps!

     

Use The Pythagorean Theorem To Find The Value Of B

Related Questions

Eddie purchased 15 boxes of paper clips and 7 packages of index cards for a total of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for $61.70. Find the cost of one box of paper clips and one package of index cards

Answers

Answer:

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

Step-by-step explanation:

the cost of each paper clip is 1.85 and the index cards is 3.95

There are 2 squares, 2 triangles, 2 hexagons, and 2 circles in a teacher’s bag of shapes. If a student randomly selects 1 shape from the bag, what is the probability that the student a circle

Answers

Answer:

2/8 or 1/4

eight shapes, two circles

Answer:

2/8 0r 1/4 or 0.25

Step-by-step explanation:

this is because there are 2 chances of getting a circle as there are 2 in the bag. however, there are 8 shapes in the bag in total meaning you have to put the chances of getting a circle out of picking any type of shape.

Data management probability

Answers

Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.

Step-by-step explanation:

20 POINTS) Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?

[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]

Yes, because the total will be $1.62
Yes, because the total will be $2.93
No, because the total will be $3.62
No, because the total will be $5.93

Answers

Answer:

No, because the total will be $3.62

Step-by-step explanation:

When we substitute with 3 and 2 shown below

0.35(3)+0.99(2)+0.59 we get 3.62, which is greater than 3 dollars.

Hope this helped<33

Answer:

Alright so the question states that "She can only spend $3."

A sticker costs $0.35

A eraser is $0.99

A pencil costs $0.59

What you are trying to find is Can Linda buy 3 stickers and 2 erasers.

So add the total value of stickers prices. You need to know what's the cost of 3 stickers and 2 erasers

0.35+0.35+0.35= 1.05+0.99+0.99 = 3.03 So she can't. Now can she buy 1 sticker, 1 eraser, and 1 pencil. So is it enough to get 1 of each item?

0.35+0.99+0.59=1.93 Yeah you can.

But is it enough for her to get 3 stickers, 2 erasers and a pencil?

We already know the cost for 3 stickers and 2 erasers is $3.03. All you need to do is add $0.59 to find the total cost. The total cost of 3 stickers and 2 erasers and a pencil is $3.62. So the answer is No, because the total will be $3.62 and her budget is $3 so she will need extra $0.62 to cover the full cost.

Hope this helps

SOMEONE PLEASE HELPP!!

Answers

Well if x is advertising then no advertising will be x=0 so plug it in

Y=0.1(0) +10000
Y=10000

f(2)= -2, f(1)=1 solved please help

Answers

the answer is f(x) = -3x + 4

A lasagna has a mass of 6 pounds. The lasagna is cut into 12 equal pieces What is the mass of each piece in ounces?

A. 8 ounces
B. 10 ounces
C 12 ounces
D 14 ounces

show your work

Answers

The answer is A your welcome
Ik this cause I took the test

Please help me with 3-5!

Answers

3. The independent variable is what changes the dependent variable, it relies/depends on it for the outcome.

Find the surface area, in square inches, of a cube whose volume is 8 in³.

Answers

Answer:

24 in^2

Step-by-step explanation:

common math

Answer:

Surface area of cube is 24 in²

Step-by-step explanation:

In this question we have given volume of cube that is 8 in³. But we know that volume of cube is a³. So ,

[tex] \implies \: a {}^{3} = 8[/tex]

Now ,

[tex] \implies \: a = \sqrt[3]{8} [/tex]

So , cube root of 8 is ,

[tex] \implies \: \boxed{\bold{a = 2}}[/tex]

Therefore, value of a is 2 inches .

Now , we are finding surface area of cube . We know that surface area of cube is 6a² . So ,

6 ( 2 )²

6 ( 4 )

24

[tex] \pink{ \boxed{ Therefore, \: surface \: area \: of \: cube \: is \: 24 \: in ^{2} }}[/tex]

#Keep Learning

Hey There ,
Please Help Me With This Question ! Dont Forget To Show Your Work Thank You <3
-Needs Answer Right Now
-

Answers

1.12/.32= 3.5pounds
3.5-1.25=2.25pounds

Hope this helps :(

4x-14=2x please solve need help

Answers

Answer:

7

Step-by-step explanation:

1. Subtract the 4x on both sides = -14 = -2x

2. Divide -2 on both sides to get -14/-2 = x

3. -14/-2 = 7 so 7 = x

Write the number for fourteen million eighty thousand.

Answers

Answer:

14,080,000

Step-by-step explanation:

where the 4 is is the millions place

where the 1 is is the 10 millions place

where the 8 is is the 10 thousands place

Step-by-step explanation:

14080000 answer is please follow me ......

True or False: Both equations have 'no solutions'.

Answers

The answer to your question is False

Answer:

I think the answer is FALSE

Step-by-step explanation:

BECAUSE IT HAS A SOLUTION LOOK IN THE PICTURE

I have done it as rough

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The following diagram demonstrates the Pythagorean Theorem.

Which two equations represent the diagram below?

Answers

Answer:

B

Step-by-step explanation:

a²+b²=c²

so 3²+4²=5²

.......

Find the distance between [tex]\frac{7}{12}[/tex] and [tex]\sqrt{} \frac{16}{81}[/tex] on a number line. please show your work and explain it.

Answers

Answer:

5/36

Explanation:

Distance on a number line is basically difference between two numbers. So we subtract the two numbers. This can be solved on a calculator btw. 7/12 - √16/81 = 5/36.

I will give brainliest to the first person to answer
Rod ran 30 miles this week, which was three times as far as Joe ran this week. Joe ran 6 more miles this week than he did last week.

Answers

Answer:

Step-by-step explanation:

well 30/3 = 10 and 10-6=4 so i guess last week joe than 4 miles and this week he ran 10 miles.

30/3 = 10 miles joe ran this week (last week)
10 + 6 = 16 miles he ran this week

Beinggreat78, Answer fast!

Answers

Answer:

True-There are three ways to write a ratio

Answer:

Pretty sure it's true.

Step-by-step explanation:

State the reason why K = M

Given:

KLMN is a parallelogram.

Answers

Answer:

They both are a 90 degree angle.

For the parallelogram KLMN, opposite angles K and M are equal.

What is Parallelogram?

Parallelogram are type of quadrilateral in two dimensional geometry which has four sides, four vertices and four angles where opposite sides are equal. They also have the two pairs of sides parallel to each other. These sides are opposite sides.

The sum of the adjacent angles of the parallelogram is equal to 180 degrees and the sum of all angles is equal to 360 degrees. Also the opposite angles are equal.

Given that KLMN is a parallelogram.

Here K and M are opposite vertices and also L and N are opposite vertices.

In a parallelogram, we know that measure of opposite angles will be equal. So here, measure of angles K and M are equal.

Therefore, since angles K and M are opposite angles of the parallelogram, they are equal.

To learn more about Parallelogram, click on the link given below :

https://brainly.com/question/29147156

#SPJ2

help!! please show work or walk me through it too!! <3

Answers

Answer:

102º

Step-by-step explanation:

So you know that ABC is an Isosceles triangle as AB=AC therefore, angle ABC is equal to angle ACB.

You also know that even though it doesn't look like it, ABP is an equilateral triangle as AB, AP and BP are equal so all those angles must equal 60º.

So:

ABC = 60 - 21 = 39º

and since ABC= ACB

ACB also equals 39º.

Because angles in a triangle add to 180º, BAC is consequently:

180- (39+39) = 180 - 78 = 102º

BAC = 102º

102 degrees because of the angles and lines

Kira has to carry 170 apples from a farm to the market. How many baskets will she need, given that each basket can hold 46 apples?

Answers

Answer:

4 baskets

Step-by-step explanation:

Since 170 divided by 46 equals 3 with a remainder of 32, you use the remainder,32, and change it to one more basket so 3+1=4 so Kira needs 4 baskets.

Answer:

Kira will require exactly four baskets.

Step-by-step explanation:

The given information we know is..

- Kira is responsible for transporting 170 apples from a farm to the market.

- Each basket has a capacity of 46 apples.

We must divide 170 apples by 46 apples in order to solve this problem.

170/46 ( When I use the / symbol, it indicates to divide.)

170/46 = 3.69565217391

We'll have to round it up because we can't actually accept 3.69 bags. So the answer is 4 baskets.

Kira will need approximately 4 baskets.

Hope this helps! :D

The first three terms of an arithmetic sequence are as follows.

Answers

Answer:

9, 3

Step-by-step explanation:

To get from 27 to 21, you subtract by 6. To get from 21 to 15, you must also subtract by 6. Therefore, subtracting by 6 is the pattern. In order to get the next number in the sequence, we must subtract 6 from 15.

15 - 6 = 9

The next number is 9. To find the number after 9, we must do the same thing - subtract 6 from 9.

9 - 6 = 3

The 5th number of the sequence is 3.

I hope this helps and please mark me as brainliest!

9 , 3
you subtract by 6 each time

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5 more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

Answers

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is [tex]\frac{x}{15}[/tex]. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

[tex]\frac{x+5}{15+5} = \frac{3}{4}[/tex]

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

For a grocery store's 25 years anniversary sale they ordered 9 crates of grapes with each create containing 10 bags of grapes. After the anniversary sale they had sold all but 3 bags. How many bags of grapes did they sell during the anniversary?

Answers

Answer:

87

Step-by-step explanation:

9 x 10 = 90, the store had 90 bags in total at the start. 90 - 3 = 87, the store had sold 87 bags of grapes during the anniversary.

The number of bags of grapes that they sell during the anniversary is 87 bags.

What are Arithmetic operations?

Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.

Given that,

For a grocery store's 25 years anniversary sale they ordered 9 crates of grapes with each create containing 10 bags of grapes.

Number of crates of grapes ordered = 9

Number of bags of grapes in each crate = 10 bags.

Total number of bags in 9 crates = 90 bags

After the anniversary sale they had sold all but 3 bags.

Number of bags of grapes sold = 90 - 3 = 87 bags

Hence the number of bags of grapes sold is 87 bags.

Learn more about Arithmetic Operations here :

https://brainly.com/question/25834626

#SPJ2

Sienna planned a trapezoid-shaped garden, as shown in the drawing below.

A trapezoid has top side length of 4 inches, bottom side length of 9 inches, and left side length of 6 inches.
She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft. Which expression finds the change in the scale factor?
StartFraction 4 inches over 24 feet EndFraction
StartFraction 32 feet over 4 inches EndFraction
StartFraction 24 feet over 32 feet EndFraction
StartFraction 32 feet over 24 feet EndFraction



Please help fast i'm timed. Give letter answer!

Answers

Answer:

Step-by-step explanation:

b

brainliest if answer all 3

Answers

The perimeter of the semicircular region is the circumference of the semicircle plus the diameter

Formula for circumference of a semicircle --> [tex]\frac{1}{2} \pi d = \pi r[/tex]

                 d: diameter length

                  r: radius length

6. [tex]Perimeter=\frac{1}{2}\pi d + d= \frac{1}{2} \pi *18+18=9\pi +18 = 46.26cm[/tex]

7. [tex]Perimeter =\frac{1}{2}\pi d+d= \frac{1}{2} \pi *20+20 = 31.4+20=51.4 in[/tex]

8. [tex]Perimeter=\pi r+2r = \pi *4 + 8=20.56mm[/tex]

Hope that helps!

I need help please!!! thank you so much to the person who is going to help me.

Answers

Answer:

22x - 14

Step-by-step explanation:

pretty sure its like this..

3(4x-3)+5(2x-1)

= 3×4x + 3×(-3) + 5×2x + 5×(-1)

= 12x + (-9) + 10x + (-5)

and according to the rules of multiplying negative by positive...

= 12x - 9 + 10x - 5

combine like terms using the symbols on its left

= 12x + 10x - 9 - 5

= 22x - 14

22- 14x is the answer you’re welcome there

HELP SOMEONE PLEASEEE!

Answers

The 4th one is the answer i did this earlier

Last one is the one I am sure

It is great to have 64 fluid ounces of water each day. How many cups would this be?

Answers

Answer:

8 cups

Step-by-step explanation:

The point B is at the centre of the circle.
The points P and Q are on the circumference of the circle.
Calculate the area of the shaded sector.
take π to be 3.142 in your working.
Give your final answer to 1dp

Answers

Answer:

24.7

Step-by-step explanation:

Calculation of the area of the shaded sector is 24.7:

Since

Line PQ = 5.413590865cm

BQ = 9cm

Now

cos(x) = 0.8190928022

x = 35.00591739˚

Now finally the

Area of sector = 24.7cm^2

So point B is at the centre of the circle, making the area of the shaded sector to be 24.7 .

Which of the following is a statistical question?
A. What did Oliver eat for dinner last night?
B. How many hours a day does Allen spend on his math homework?
C. How much money did Oliver give to Roy?
D. How old is Harvey?

Answers

Answer:

a

Step-by-step explanation:

The answer does not change.

Answer:

the question for this answer should be c. How much money did Oliver give to Roy? because a statistical question  can be answer by collecting data that can vary a lot.

Step-by-step explanation: hope it helps and give me brainliest please if you want.

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