1. What is the value of x? Do not convert to decimal. Keep your answer in exact (radical) form. Show all of your work. This is Pythagorean theorem, the hypotenuse is the square root of 177, and for the bottom of the triangle it is x, and the back side of the triangle is 8.

Answers

Answer 1

Answer:

The value of x is [tex]\sqrt{113}[/tex].

Step-by-step explanation:

It is given that hypotenuse is [tex]\sqrt{177}[/tex]. So, the legs would be x and 8.

Let's use Pythagoras theorem,

[tex]a^{2} +b^{2} =c^{2}[/tex]

Plug in the numbers to solve for x.

[tex]x^{2} +8^{2} =\sqrt{177} ^{2}[/tex]

Simplify it

[tex]x^{2} +64 =177[/tex]

Subtract both sides 64.

[tex]x^{2} =113[/tex]

Take square root on both sides

x=[tex]\sqrt{113}[/tex]

We can not simplify the radical.

So, let's keep this as answer.


Related Questions

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Answers

Answer:

b

Step-by-step explanation:

Malcolm is filling bags with rice. He starts with a 57 -pound container of rice and fills each
bag with pound of rice. How many bags of rice can Malcolm fill?
Click the arrows to choose an answer from each menu.
To determine the number of bags Malcolm can fill. Choose
Malcolm can fil
Choose
full bags and choose
of another bag

Answers

Rewrite 5 1/4 as an improper fraction:

Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:

5 x 4 = 20 + 1 = 21

5 1/4 = 21/4

Ow divide the total amount (21/4) by the amount in each bag (5/8)

21/4 / 5/8

When dividing by a fraction flip the second fraction over and then multiply straight across:

21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags

He can fill 8 full bags and 2/5 of a other bag

Benito cooked 48 cupcakes for his school’s bake sale. His mother cooked 132 additional cupcakes for the sale. How many cupcakes did Benito and his mother cook altogether?

84
132
180
190

Answers

Answer:

180

Step-by-step explanation:

132 plus 48 is 180 so altogether they baked 180 cupcakes

I hope this helped! :)

180 because 48 + 132 = 180

5 b = - 25 for algebra

Answers

Answer:

b= -5

Step-by-step explanation:

because 5x-5=-25

5b= -25
-25 divided by 5 = -5
b= -5

The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?

Answers

Answer: 8 cups

Step-by-step explanation:

Let the cups of orange juice concentrate that he used be represented by x.

Therefore, based on the information, we can form an equation which will be:

2/5 = x/20

Cross multiply

5 × x = 2 × 20

5x = 40

x = 40/5

x = 8

Therefore, he used 8 cups of orange juice concentrate.

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Answers

Answer:

Part a.

An angle bisector divides the angle into two congruent angles.

m<FGH = m<HGI

2x - 4 = 3x - 22

Subtract 2x from both sides. Add 22 to both sides.

18 = x

x = 18

Now that we know x = 18,

m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32

m<FGH = 32

Part b.

m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32

m<HGI = 32

Part c.

m<FGI = m<FGH + m<HGI = 32 + 32 = 64

m<FGI = 64

Step-by-step explanation:

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Answers

Answer:

60

Step-by-step explaintion

5 x 12

The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is the probability of both events occurring, in that order?

P(A) • P(B)
P(A + B)
P(A x B)
P(A) + P(B)

Answers

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].

Hence, the correct option is A.

Change this fraction to an equivalent fraction with multiplication.

4/7 = ______

Answers

Sample Answer:

8/14

Step-by-step explanation:

This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value

4/7

4 * 2 = 8

7 * 2 = 14

8/14 = 4/7

Answer:

8/14

Step-by-step explanation:

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Answers

Answer:

15

Step-by-step explanation:

3/5 = x/25

x = 15

Answer:

15

Step-by-step explanation:

25/5 = 5 so 3*5=15. also 3/5 is the same as 15/25. (15/5 = 3 and 25/5 = 5)

Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.​

Answers

Answer:

6.25 times two equals 12.5

Step-by-step explanation:

someone pls help me with this question

Answers

Answer:

10 units

Step-by-step explanation:

[tex]4 \times 2.5 = 10[/tex]

Answer:

the answer is 15.4 units

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Answers

Third one is the answer you need.

23 travelers forest 63 piles of plantains containing the same number of plantains and a remaining pile containing 7 plantains. They divided the plantains equally. What is the least number of plantains that each traveler got?

Answers

Answer:

14 plantains

Step-by-step explanation:

Given

[tex]x \to[/tex] plantain in a pile

[tex]y \to[/tex] plantain received by each

[tex]n = 23[/tex] travelers

Required

The least value of y

Note that:

- There are x plantains in 1 pile, so there will be 63x in 63 piles

- The number of plantains shared is: 7 to 63x (7 represents the single plantain)

- 1 traveler gets y plantains, so 23y will receive 7 + 63x plantains

So, the equation is:

[tex]23y = 7 + 63x[/tex]

Make y the subject

[tex]y = \frac{7 + 63x}{23}[/tex]

The values of x and y must be integer and these values must be greater than 0.

Using trial by error method, we test the values of x starting from 1;

So, we have:

[tex]x = 1 \to y = \frac{7 + 63 * 1}{23} = \frac{70}{23} = 3.04[/tex]

[tex]x = 2 \to y = \frac{7 + 63 * 2}{23} = \frac{133}{23} = 5.78[/tex]

[tex]x = 3 \to y = \frac{7 + 63 * 3}{23} = \frac{133}{23} = 8.52[/tex]

[tex]x = 4 \to y = \frac{7 + 63 * 4}{23} = \frac{259}{23} = 11.26[/tex]

[tex]x = 5 \to y = \frac{7 + 63 * 5}{23} = \frac{322}{23} = 14[/tex]

So, the smallest values of x and y that satisfy the equation is:

[tex](x,y)=(5,14)[/tex]

Hence, the least number of plantain each traveler got is 14

PLEASE HELP DOES ANYONE KNOW HOW TO SOLVE THIS

Answers

Answer:

36

Step-by-step explanation:

All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.

As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36

The St. Louis Cardinals defeated the Texas Rangers in the 2011 World Series in a thrilling 7game series. The matrices below show the statistics for runs, hits, and errors for each team in each game.
Which team had the most total runs
Which team had the most total hits

Answers

Answer:

The St. Louis Cardinals had the most total runs

The Texas Rangers had the most total hits

Step-by-step explanation:

From the given matrices, we have;

The total runs made by the St. Louis Cardinals is found by adding the runs obtained in each of the seven games as follows;

Total runs by St. Louis = 3 + 1 + 16 + 0 + 2 + 10 + 6 = 38

Similarly the total hits by the St. Louis Cardinals is given as follows;

Total hits by St. Louis = 6 + 6 + 15 + 2 + 7 + 13 + 7 = 56

For Texas Rangers, we have;

Total runs by Texas Rangers = 2 + 2 + 7 + 4 + 4 + 9 + 2 = 30

Total hits by the Texas Rangers = 6 + 5 + 13 + 6 + 9 + 15 + 6 = 60

Therefore, we have;

The St. Louis Cardinals has the most total runs with 38 runs which is more when compared to the Texas Rangers that have 30 runs

The Texas Rangers has the most total hits with 60 hits compared to the St. Louis Cardinals that have 56.

A stack of 500 pieces of paper is 2 inches tall. How tall is a stack of 250 pieces? 100 pieces? 10 pieces?

Answers

250 is one inch
100 is 0.4 inch
10 is 0.04 inch

60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?

Answers

Answer:

3/5

Step-by-step explanation:

60% means 60 out of 100. For example if you get 60 marks in an exam of 100 marks. This means you got 60% marks.

Which is 60/100. This fraction can further be reduced to 6/10 [divide both numerator and denominator by 10)

6/10 = 3/5  [divide both numerator and denominator by 2)

So, the reduced form of 60% =3/5

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Answers

Answer:

2x+8

Step-by-step explanation:

So when they say a number, they mean a unknown value.

We can use a variable as this unknown value. In this situration we can call it x.

This phase says "twice a number" or "twice x". This can be though of as 2x.

next it says this number is increased by 8. When they say increased they meanm added to.

So 8 is added to 2x. Or 2x + 8

So its the second answer, 2x+8.

Hope this helps!

Hard and Long math question, Answer for 100Points

(In image)------ (Dum answers to steal points will be reported, and your account will be deleted)

(Answer In depth for all points, And Answer all the questions that the problem requests)

Answers

Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36

Step-by-step explanation:

Momma: x/48=30/20; 1440=20x; x=72

Uncle: x/72=5/10; 360=10x; x=36

Baby: x/36=6/8; 216=8x; x=27

Grandaddy: x/27=16/12; 432=12x; 36

Please help I am muddled

4a+2f=?

Answers

Answer:

4a+2f

2(2a+f)

Step-by-step explanation:

What association does the scatter plot show
A positive nonlinear association
B positive linear association
C no
D negative nonlinear
E negative linear

Answers

C. No Association
This is because there is no definitive line in the graph or upwards or downwards trend

Answer:

The answer would be no association

Step-by-step explanation:

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a) 75°

b) 105°

c) 52.5°

d) 180°​

Answers

Answer:

52.5

Step-by-step explanation:

180-75=105

105/2=52.5

Answer:

b) 105°

Step-by-step explanation:

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Answers

Answer:

x≤0

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Answer:

x<0

Step-by-step explanation:

looks like this is an algebraic equation, we can get the answer by observation the "x" - witch we have to get, and see if x is bigger or smaller than the numbers. By doing that its not and we know x<0.

Please help with these high school geometry circle questions.

Answers

Answer:

I don't know I'm really sorry please don't be angry

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The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of their masses?

Answers

Answer:

carbon is heavier

Step-by-step explanation:

That's the difference right?

Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom

1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24

Find X. It’s a right triangle

Answers

Answer:

7.64

Step-by-step explanation:

use tangent (opposite over adjacent)

tan27=x/15

multiply both sides by 15 to isolate the x

15tan27=x

use a calculator

answer = 7.64

Welcome, Detective Percent. Recently, there have been many reported scams. After weeks of investigations, you finally tracked down the address of the mastermind. He is an expert in %. He knows you are here to catch him and is in the midst of destroying all the evidence. He needs 30 minutes for the whole process to complete. You have to get through all the locks (full of percentages) to get to his secret chamber before all the evidences are gone.

Answers

Answer:

filthy Frank always told ppl who had anime pic where weeaboos

Marco randomly pulled a marble out of a bag then returned the marble to the bag. He did this 10 times. Three times the marble was green. Kira spun a wheel with sections of different colors. The wheel landed on blue 6 times of the 15 times. Robin decide to pull a marble from the bag and spin the wheel once. Based on the results from Marco and Kira, what is the probability that Robin pulls out a green marble and wheel lands on blue? A. 3/25 B. 1/4 C. 9/25 D. 7/10

Answers

Answer:A

Step-by-step explanation:

Step 1: 3/10

Step 2: 6/15=2/5

Step 3: 3/10 x 2/5 = 3/25

PLEASE HELP SOMEONE!! thank you!

find j

write your answer in simplest radical form

Answers

Answer:

prob just [tex]\sqrt{6}[/tex]

Step-by-step explanation:

leg = [tex]\sqrt{3}[/tex]

j = [tex]\sqrt{3}[/tex] * [tex]\sqrt{2}[/tex]

[tex]\sqrt{6}[/tex]

Answer:

Step-by-step explanation:

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