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Setler79 [48]
4 years ago
14

If the perimeter of the rectangle shown is 60 feet, we can use the equation 8x + 4 = 60 to find its dimensions. If the solution

to this equation is x = 7, what are the dimensions of the rectangle?
Mathematics
1 answer:
solniwko [45]4 years ago
5 0
Idk I’m just saying this so I can answer my question
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If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
MrRa [10]

Answer: The shaded area is 99.55 units squared.

Step-by-step explanation:

r = 3.2

Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:

L = 2*(2*3.2) = 12.8

The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.

the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:

A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.

And now we must subtract the area of the four smaller circles inside the square, the area of each one is:

A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.

Then the shaded area is:

A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.

8 0
4 years ago
18 first-graders and 72 other students attended a school assembly. What percentage of the students at the assembly were first-gr
denis23 [38]

Answer:20%

Step-by-step explanation:

You add 72 plus 18 and get 100 then you find what 100 divided by 5 is.

6 0
3 years ago
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Freee points freee points, arent I so humble? ;)
Alenkasestr [34]

Answer:

ayo thanks g

Step-by-step explanation:

5 0
3 years ago
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Which is the equation of the parabola with focus (6, 2) and vertex (6, –4)?
SVETLANKA909090 [29]

Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).

<h3>How to determine the equation of this parabola?</h3>

Mathematically, the standard equation with the vertex for a parabola is given by:

(y - k)² = 4a(x - h) for horizontal parabola.

(x - h)² = 4a(y - k) for vertical parabola.

<u>where:</u>

  • h and k are the vertex.
  • a is a point.

By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.

<u>Given the following data:</u>

Focus with points = (6, 2).

Vertex (h, k) = (6, –4).

<u>Note:</u> a = 2 - (-4) = 2 + 4 = 6.

Substituting the given parameters into the formula, we have;

(x - 6)² = 4 × 4(y - (-4))

(x - 6)² = 16(y + 4).

Read more on parabola here: brainly.com/question/2346582

#SPJ1

8 0
2 years ago
F(x) = x3 + x2 -8x - 6
nataly862011 [7]
The correct answer is x= -2

BRAINLIEST?⭐️
5 0
3 years ago
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