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2 years ago

Use the diagram below to determine the height of the flagpole

Mathematics

1 answer:

Yanka [14]2 years ago

6 0

Answer:

the flagpole is 12 ft

Step-by-step explanation:

2.5 ft / 4 ft = 7.5 ft / x ft

2.5x = 30

2.5x/2.5 = 30/2.5

x = 12 ft

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Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated

My name is Ann [436]

To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33

7 0

3 years ago

Read 2 more answers

What would be the surface area of the figure..

valina [46]

Answer:

Step-by-step explanation:

The surface area of the figure is sum of areas of two triangles and three ractangles:

$A=2\cdot\frac12\cdot10\cdot8,3+3\cdot10\cdot14=83+420=503\,cm^2$

8 0

3 years ago

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Harlamova29_29 [7]

The answer
f(x) = 0.7(6)x = f(x) = 0.7(6)^x, and g(x) = 0.7(6)–x= g(x) = 0.7(6)^-x=1/0.7(6)^x
so 
g(x) =1/0.7(6)^x=1 /f(x)

 the relationship between f and g are g(x) =1 /f(x) or g(x) . f(x) = 1

7 0

3 years ago

Read 2 more answers

The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the am

Sedaia [141]

Answer:

$\huge \dag \sf{Answer \: is}$

Here, x represents the amount of time that the money is accruing interest.

Step-by-step explanation:

The function below represents the annual interest Alexander earns on a savings account.

f(x) = 500(1 +0.02)x

Here, x represents the amount of time that the money is accruing interest.

We know that, if R% of interest is accrued over a principal of P over time , T,

then the net interest accrued is given by,

P×R×T/100

3 0

3 years ago

7/8 = /48 A. 1 B. 6 C. 42 D. 13

Vsevolod [243]

7/8 = x/48

Cross multiply, which is: a/b = c/d ⇒ ad = bc

After cross multiplying, we get:

8x = 7(48)

8x = 336

Divide 8 on both sides

x = 42

Your final answer is B. 42.

6 0

3 years ago