What is the length of the hypotenuse of the triangle?

Answer:

At 7 ft. 1 in., Shellac can expect to weigh approximately 165 lb

Step-by-step explanation:

The relationship between the heights and the weights of the freshman are presented as follows;

The weight of the freshman at 6 ft. = 140 lb

The height to which he plans to grow = 7 ft. 1 in.

Given that Shellac scales geometrically as he grows, then the height to weight ratio is constant

Let 'y' represent Shellac's weight when his height is 75 ft. 1 in., we have;

[tex]\dfrac{6 \, ft.}{140 \ lb} = \dfrac{7 \, ft. \ 1 \, in. }{y}[/tex]

6 ft. = 72 in.

7 ft. 1 in. = 85 in.

Therefore, we get;

[tex]\dfrac{72 \ in.}{140 \ lb} = \dfrac{85 \ in. }{y}[/tex]

[tex]y ={85 \ in. }\times \dfrac{140 \, lb}{72 \ in.} = 165.2 \overline 7 \, lbs[/tex]

Shellac's expected weight given to the nearest whole number when his height is 7 ft. 1 in. ≈ 165 lb.

Answer:

x=9/4,x=-9/4

Step-by-step explanation:

16x^2−81=0

Step 1: Add 81 to both sides.

16x^2−81+81=0+81

16x^2=81

Step 2: Divide both sides by 16.

16x^2/16 = 81/16

x^2 = 81/16

Step 3: Take square root.

x = ±√81/16

x=2.25,x=−2.25

Convert to fraction form.

x=9/4,x=-9/4

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

5.

Step-by-step explanation:

The mode is the number that occurs the most in a data set.

Here, the number 5 appears the most.

Answer:

The answer is 5

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Hope this helps! Have a nice day!

Answer:

7428.40

Step-by-step explanation:

Answer: did you ever get the answer ?

Step-by-step explanation:

Answer:

the answer is (c)

Step-by-step explanation:

-(-1)-13= 1-13=-12

Answer:

-1

Step-by-step explanation:

You need to take -13 behind the = sign and it will become +13. Now -12+13=-1. Again it is -x because of which 1 will be divided by - and the answer will be -1

Answer:

Cos(x) = sqrt(55) / 8; tan(x) = 3/sqrt(55)

Step-by-step explanation:

Sine is opposite over hypotenuse. So we get that the opposite is 3 and the hypotenuse is 8. To find the adjacent (which we'll need for cosine and tangent), we can use pythagoras' theorem. Therefore, 8^2 = 3^2 + A^2, where A is the adjacent. A then must equal sqrt(64-9) = sqrt(55).

Cosine is adjacent over hypotenuse, which is then sqrt(55) / 8. Tangent is opposite over adjacent, which is then 3 / sqrt(55) or (sqrt55)*3/55

Answer:

y=5x or y=5x+0

Step-by-step explanation:

there is a slope of 5 and it has no setoff

Answer:

-4,1

Step-by-step explanation:

Y is at -1,1

X is at -5,0

subracting we get -4,1

since it’s rise over run

-4,1

so -4

Answer:

Step-by-step explanation:

[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]

I hope that is useful for you :)

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

Answer:

4cm ×cmohx9ufochohcohcohc

Answer:

B: -7°F

Step-by-step explanation:

79-44=35

Because its over a period of five days we would divide

35÷5=7

Since the numbers are going down its negative

-7

Answer:-7

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

Answer:

3:2 , 18:12 , 27:18

Step-by-step explanation:

There are endless ratios that are equal to 9:6.

Such as 3:2 , 18:12 , and 27:18.

To find equivalent ratios, simply divide or multiply the two numbers in the ratio by the same number.

For example, the ratio is 9:6.

9/3 = 3

And, 6/3 =2

So therefore an equivalent ratio is 3:2.

Answer:

half of 11 is: 5.5

5.5 x 3.14 x 2 = 34.54

Answer:

He often said "Diesel Be Good"

Step-by-step explanation:

Answer:

156.5

Step-by-step explanation:

The height of the flagpole to the nearest tenth of a foot is 156.5 ft.

Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.

The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.

From the information;

Using the Pythagoras theorem, we have;

hyp² =  opp² + adj²

350² = (2x)² + x²

350² = 4x² + x²

122500 = 5x²

x² = 122500/5

x² = 24500

x = √24500

x = 156.5 ft

Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.

Learn more about word problems here:

https://brainly.com/question/13818690

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

Answer:

These relationships are realted because the variable is multiplied by ten to get the function.

9cm: 90mm

12 1/4cm: 122.5mm

50cm: 500mm

88.49cm: 884.9mm

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Answer:

3 unless you're adding onto the 12 kilograms, then only 1

Step-by-step explanation:

Answer

X=10 and y=20

Step-by-step explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

Answer:

equation

Step-by-step explanation:

12 + 3y = 21

-12. -12

__________

3y = 9

y = 3

Answer:

36 yards = 1,296 inches.

Answer:

x = 7.55

Step-by-step explanation:

a = x

b = 8

c = 11

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121 - 64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.5498

Rounded to hundredths:

7.55

Answer:

-1,7

0,-3

1,-7

5,47

Step-by-step explanation:

-x-=+

Answer:

A. 2x + 3y = -6

Step-by-step explanation:

[tex](-3,0) (0,-2)[/tex]

[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]

[tex]y-0=\frac{-2}{3} (x+3)[/tex]

[tex]3y=-2x-6[/tex]

[tex]3y+2x+6=0[/tex]

[tex]2x+3y=-6[/tex]

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hope it helps...

have a great day!!