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3 years ago

Radius question * answers listed on pic but I just need a step by step explanation *

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

4 0

Good morning ☕️

Answer:

A. A(x) = 98x²

B. P(x) = 42x

Step-by-step explanation:

Consider L the length of the rectangle and w its width

then according to the figure L = 7x + 7x = 14x and w = 7x

_________________________

A. A(x) = L × w = 14x × 7x = 98x²

_________________________

B. P(x) = 2×(L + w) = 2×(14x + 7x) = 2×(21x) = 42x

___________________________________

Rama09 [41]3 years ago

3 0

Step-by-step explanation:

Let A(x) be the area function of given rectangle.

Radius of circle = 7x

Therefore, length of rectangle = 14x

Width of rectangle = 7x

$\therefore \: A(x) =l\times w \\ = 14x \times {(7x)} \\ =98x^2 \\ \huge \red{ \boxed{ \therefore \: A(x) =98 {x}^{2} }}$

Let P(x) be the Perimeter function of given rectangle.

$P(x) =2(l + w) \\= 2(14x + 7x)\\=2\times 21x\\= 42x\\\huge \red{ \boxed{ \therefore \:P(x)= 42x}}$

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3 years ago

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1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually

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Step-by-step explanation:

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2 years ago

Find QN. Please show all the work on how you got your answer

Effectus [21]

QN = 28

Solution:

Given MNPQ is a parallelogram.

QT = 4x + 6 and TN = 5x + 4

To find the length of QN:

Let us solve it using the property of parallelogram.

Property of Parallelogram:

Diagonals of the parallelogram bisect each other.

Therefore, QT = TN

⇒ 4x + 6 = 5x + 4

Arrange like terms together.

⇒ 6 – 4 = 5x – 4x

⇒ 2 = x

⇒ x = 2

Substitute x = 2 in QT and TN

QT = 4(2) + 6 = 14

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The length of QN is 28.

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3 years ago

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Answer:

d and b

Step-by-step explanation:

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2 years ago

In △PQR, find the measure of ∡P. (A)30.4° (B)59.6° (C)35.9° (D)54.1°

Kobotan [32]

ANSWER

(D)54.1°

EXPLANATION

The measure of angle P can be calculated using the cosine ratio.

We know the adjacent side to angle P to be 33.8 and the hypotenuse of the right triangle is 57.6 units.

$\cos(P) = \frac{adjacent}{hypotenuse}$

$\cos(P) = \frac{33.8}{57.6}$

Take cosine inverse,

$P= \cos ^{ - 1} (\frac{33.8}{57.6} )$

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To the nearest tenth, the measure of <P is 54.1°

7 0

2 years ago

Read 2 more answers