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3 years ago

The diameter of a circle is 10 ft. Find its area in terms of pi

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

A = pi(r) ^2
A = 3.14(5) ^2
A = 15.7 ^2
A = 246.49
Hope this helps.

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I really need helppppp

Dmitry [639]

Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.

Step-by-step explanation:

The right angle triangle ABC representing the scenario is shown in the attached photo.

Angle A is alternate to the angle of depression, hence, they are the same.

The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.

To determine x, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 11.1 = 57/x

x = 57/Tan 11.1 = 57/0.1962

x = 290.5 feet to the nearest tenth.

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3 years ago

Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the

madam [21]

Given:

The parent function is

$f(x)=x^2$

Consider the transformed function is g(x) instead of f(x) because both functions are different.

$g(x)=-5(x-4)^2-8$

Step-by-step explanation:

We have,

$f(x)=x^2$

$g(x)=-5(x-4)^2-8$

It can be written as

$g(x)=-5f(x-4)-8$ ...(i)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

$a=-4$ , f(x) shifts 4 units right.

$b=-8$ , f(x) shifts 8 units down.

$k=-5$ , it is negative so f(x) reflected across the x-axis.

$|k|=|-5|=5>1$ , so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0

3 years ago

92.3-(3.2 divided by 0.4) times 8

sp2606 [1]

Answer:

28.3 that's the answer

Step-by-step explanation:

3 0

3 years ago

In three to five sentences, explain the importance of sentence structures in good writing.

jenyasd209 [6]

Answer:

Sentence structure needs to simple, standalone, Grammarly justified and able enough to convey the writer thoughts and feelings clearly

Step-by-step explanation:

Sentence structure is very essential to convey the idea of the writer clearly. It is just like the skeleton of a write up and hence its framework needs to be clear and able enough to express the real sense. The structure of sentence needs to be complete with adequate grammar and punctuations. A good sentence must be able to express a complete idea on its own.

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3 years ago

What is .825252525 repeating as a fraction

masya89 [10]

Let d = 0.825252525..., then
$10d = 8.25252525...=8\frac{25}{10^2-1}=8\frac{25}{99}$

Therefore,
$d=\frac{8}{10}+\frac{25}{990}=\frac{8(99)+25}{990}=\frac{817}{990}$

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3 years ago