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4 years ago

A 7cm × 5cm rectangle sits inside a circle with radius 6cm. what is the area of the shaded region

Mathematics

2 answers:

Crazy boy [7]4 years ago

8 0

Answer:

The area of the shaded region is $(36\pi-35)\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

$A=\pi r^{2}-a*b$

we have

$a=7\ cm$

$b=5\ cm$

$r=6\ cm$

substitute the values

$A=\pi (6)^{2}-(7)*(5)$

$A=(36\pi-35)\ cm^{2}$

statuscvo [17]4 years ago

8 0

Answer:

78.1

Step-by-step explanation:

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3 years ago

he exponential expression 28 has a value of 256. Write two other exponential expressions that have a value of 256. Explain how y

lbvjy [14]

Answer:

Two other exponents that results in 256 are $16^2$ and $4^4$

Step-by-step explanation:

Given

$2^8 = 256$

Required

Write two exponential expression that equals 256

$2^8 = 256$

Expand 8 as 4 * 2

$2^{4*2} = 256$

Using laws of indices, we have

$(2^4)^2 = 256$

2⁴ = 16; So, we have

$16^2 = 256$ --- This is one

Recall that

$2^{4*2} = 256$

This can also be rewritten as

$2^{2*4} = 256$

Using laws of indices, we have

$(2^2)^4 = 256$

2² = 4; So, we have

$4^4 = 256$ --- This is another one

Hence, two other exponents that results in 256 are $16^2$ and $4^4$

6 0

3 years ago

8x = 2y + 5 3x = y + 7 Solve the system of equations by substitution.

jasenka [17]

3x = y + 7
 y =3x-7

8x = 2y + 5
8x = 2(3x-7) + 5
8x=6x-14+5
8x-6x=-9
2x=-9
x=-4.5

8x = 2y + 5
8(4.5)=2y+5
36=2y+5
2y=31
y=15.5

8 0

4 years ago

What is the product of 5 1/2 and 1/8 (fractions only)

Zarrin [17]

5 1/2 x 1/8 = 11/16.
Decimal Form: 0.6875 (if needed) :)

6 0

3 years ago

Read 2 more answers

Name the coordinates of P if P(0, 4) is rotated 180°

Lelu [443]

Answer:

P'(0, -4)

Step-by-step explanation:

when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees

Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)

7 0

3 years ago

A 7cm × 5cm rectangle sits inside a circle with radius 6cm. what is the area of the shaded region​

A 7cm × 5cm rectangle sits inside a circle with radius 6cm. what is the area of the shaded region