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3 years ago

(Answer Quickly!!!) 31.2 (3.8)

Mathematics

2 answers:

adelina 88 [10]3 years ago

8 0

118.56. 31.2 x 3.8 = 118.56

grigory [225]3 years ago

6 0

31.2 x 3.8 = 118.94.

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

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2 years ago

A butterfly is 12 inches long and 13 inches wide. Lashay makes a scale drawing

tankabanditka [31]

Answer:

1.08 inches

Step-by-step explanation:

13 / 12 , to keep aspect ratio the same

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1 year ago

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In right triangle PQR PR=17 RQ=15 PQ =8 What is tan P<br><br> What is the answer

Delvig [45]

Answer:

The value of tan P = 1.875

Step-by-step explanation:

Given:

PR=17

RQ=15

PQ =8

To find:

tan P = ?

Solution:

In trigonometric ratio

tan = $\frac{opposite}{adjacent}$

Now on substituting the given values(refer the figure)

tan (P) = $\frac{15}{8}$

tan (P) = 1.875

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2 years ago

Liz's website has been getting more popular, primarily through word-of-mouth advertising. Each month, she sees a 5% increase in

muminat

Step-by-step explanation:

31357.85046

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2 years ago

Find the area of the

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Answer:

Option A: 2338.3 cm² is the correct answer.

Step-by-step explanation:

Given that:

The given figure is a regular hexagon.

Length of side = 30 cm

Area of a hexagon is given by;

Area = $\frac{3\sqrt{3}}{2}a^2$

Putting a=30 in the formula

Area = $\frac{3\sqrt{3}}{2}(30)^2$

Area = $\frac{3\sqrt{3}}{2}*900$

Area = $3\sqrt{3}*450$

Area = 2338.26 cm²

Rounding off to one decimal place,

Area = 2338.3 cm²

Hence,

Option A: 2338.3 cm² is the correct answer.

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2 years ago

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