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2 years ago

Btw the answer has to be in fraction form if it’s a decimal then we will need to convert it into a fraction please help me

Mathematics

2 answers:

Misha Larkins [42]2 years ago

6 0

Answer:

217 = 217/100 = 2.17

Step-by-step explanation:

Svetllana [295]2 years ago

4 0

Answer:

18 1/12 ft = base length

Step-by-step explanation:

The area of a triangle of base b and height h is A = (1/2)(b)(h).

Since we want the measure of the base we solve this formula for b:

2A = (b)(h)

and then divide both sides to obtain a formula for b: b = -----------

Substituting 217 ft^2 for A and 24 ft for h, we get:

b = 2*217 ft^2 / 24 ft = 18.0833.... ft

If the answer must contain a fraction, take the 18 and hold it and convert the remaining 0.08333... to a fraction. One way of doing this is to use a calculator. On my old TI calculator, I would type in 0.0833333333..

and then press the MATH key and then select Option 1: Decimal to fraction.

Doing this yields 1/12. You can check this result by dividing: 1/12 = 0.08333...

Then the final answer, converted from 18.08333... ft, is

18 1/12 ft = base length

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Read 2 more answers

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

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