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1 year ago

Find the area of the shaded regions.

Mathematics

1 answer:

vlada-n [284]1 year ago

5 0

Answer: $27\pi \text{ cm}^{2}$

Step-by-step explanation:

The area of the entire circle is $(\pi)(6^{2})=36\pi$

The area of the sector with the right angle is $\frac{36\pi}{4}=9\pi$

Subtracting these areas, we get $27\pi \text{ cm}^{2}$

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A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8,

GenaCL600 [577]

Answer:

$\text{The slope of the line t:}\ m=-\dfrac{3}{4}\\\\\text{The y-intercept of the line t:}\ b=2\\\\\text{The equation of a line t in the slope-intercept form:}\ y=-\dfrac{3}{4}x+2$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (8, -4) and (0, 2) → b = 2.

Calculate the slope:

$m=\dfrac{2-(-4)}{0-8}=\dfrac{6}{-8}=-\dfrac{3}{4}$

Therefore the equation of a line t in the slope-intercept form is:

$y=-\dfrac{3}{4}x+2$

5 0

3 years ago

Read 2 more answers

A recipe requires 2.5 teaspoons of sugar to make a candy bar. Which equation shows the number of teaspoons of sugar, y, needed t

Veseljchak [2.6K]

Answer:

your answer would be D. x = 2.5 + y

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The circle given by : x^2 + y^2 - 6y - 12 = 0 can be written as:

deff fn [24]

Step-by-step explanation:

Given equation of circle is,

${x}^{2} + {y}^{2} - 6y - 12 = 0 \\ by \: compairing \: it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f= - 6 \\ or \: f= - 3 \\ c = - 12$

again the another form of circle is,

${x}^{2} + {(y - k)}^{2} = 21 \\ or \: {x}^{2} + {y}^{2} - 2ky + {k}^{2} - 21 = 0 \\ by \: compairing \:it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\ g = 0 \\f = - k \\ c = {k}^{2} - 21$

now equating the values of f in both equations,

-k=-3

i.e. k=3

therefore k=3

4 0

3 years ago

Which of the following ratios is equivalent to 5/8 ?

Novosadov [1.4K]

Answer:

Which of the following ratios is equivalent to 5/8 ?

A) 16 : 10

B) 5 to 13

C) 25/44

<u>D) 15 out of 24</u>

Step-by-step explanation:

5 : 8

(×3)

15 : 24

8 0

3 years ago

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1A. Jennifer bought some packs of pencils. Each pack has 9 pencils. Jennifer

iris [78.8K]

The answer is A. The only multiple of 9 that is between 70 and 80 is 72. 72 divided by 9 equals 8.

6 0

2 years ago