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3 years ago

A circle has a radius of 6 feet. Calculate the area of the sector formed by a central 30° angle

Mathematics

1 answer:

Tems11 [23]3 years ago

6 0

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

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The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write

a_sh-v [17]

Answer:

Perimeter of rectangle:

$(4x - 14)\text{ feet}$

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

$x\text{ feet}$

Width of rectangle:

$(x-7)\text{ feet}$

Perimeter of rectangle:

$2\times \text{(Length + Width)}$

Expressions to calculate perimeter

$1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}$

The attached image shows the image of the rectangle.

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3 years ago

Evaluate the expression -8x + 5 - 2x - 4 + 5x when x = 2 before and after simplifying.

Alex777 [14]

Answer:

Step-by-step explanation:

all we have to do is plug in 2 for x into the equation:

-8(2) + 5 -2(2) -4 + 5(2)

-16 + 5 -4 -4 + 10

-11 -8 + 10

-19 + 10

the answer is

-9

to simplify the equation we’ll combine like terms

-8x + 5 -2x -4 + 5x

-10x + 1 + 5x

-5x + 1

now we’ll plug in 2 for x

-5(2) + 1

-10 + 1

the answer is still

-9

5 0

3 years ago

Read 2 more answers

Write the word as an inequality. Then solve the inequality. Three less than a number x is more than 15. An inequality that repre

BaLLatris [955]

Answer:

An inequality that represents this word sentence is >. The solution is. x > 17.

Step-by-step explanation:

8 0

3 years ago

What is the value of x?

lorasvet [3.4K]

Answer:

x=9

Step-by-step explanation:

We can use similar triangles and ratios. Put the small triangle side over the large triangle side.

9cm 3x -20

---------- = ---------------- We need to add the sides to get to the larger triangle

72+9 cm 3x-20 + 56

We can cross multiply to solve

9 * (3x-20+56) = (72+9) * (3x-20)

Simplify

9*(3x+36) = 81*(3x-20)

Distribute

27x +324 = 243x -1620

Subtract 27x from each side

27x-27x +324 = 243x-27x -1620

324 = 216x-1620

Add 1620 to each side

324+1620 = 216x

1944 = 216x

Divide each side by 216

1944/216 = 216x/216

9=x

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3 years ago

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If Aditya can travel 80 km in 2 hours how many kilometres can he travel in 3 and half hours

ivann1987 [24]

Answer:

distance covered in 2 hours = 80 km

distance covered in 1 hour = 80÷2 = 40 km

distance covered in 7/2 hours = 40 × 7/2

= 140 km

(3 1/2hours = 7/2 hours)

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3 years ago