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3 years ago

Find the height of the roof.

Mathematics

2 answers:

Scrat [10]3 years ago

8 0

Leg B = 31.5

Hypotenuse = 76

Height = D. 62.4 (Pythagorean theorem)

marusya05 [52]3 years ago

6 0

I am confident that the answer is C. 53.7

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Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it t

ella [17]

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

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3 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su

Lady bird [3.3K]

Wow that’s a lot let me try to help

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3 years ago

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(x+1)-6(x+1)+8 how to factorise it?<br>

sergij07 [2.7K]

Answer:

Step-by-step explanation:

If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.

x + 1 + 6x + 6 + 8

7x + 15 is your final answer.

However, I think the question is

(x + 1)^2 + 6(x + 1) + 8

Let y = x + 1

y^2 + 6y + 8

(y + 2)(y + 4)

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(x + 3)(x + 5)

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3 years ago

The graph of a function f is shown. Use the graph to estimate the average rate of change from x = –2 to x = 0

vodomira [7]

Answer:

Average rate of change = 2

Step-by-step explanation:

Formula to get the rate of change of a function between x = b and x = a is,

Rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to calculate the average rate of change between x = -2 and x = 0

From the graph attached,

At x = -2,

f(-2) = 0

At x = 0,

f(0) = 4

Therefore, average rate of change = $\frac{f(0)-f(-2)}{0-(-2)}$

= $\frac{4-0}{2}$

= 2

Average rate of change of the given function between x = -2 and x = 0 is 2.

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2 years ago

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One statement might be the larger garden is 40 square feet larger than the smaller garden.

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3 years ago

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