MATHEMATICS MIDDLE SCHOOL

Find the shaded region. Round to the nearest tenth.

Answers

Answer 1

Answer:

That's a circle less what's called a segment, the white part of the circle.

The circle has area A = πr² = π(8.35)²

The circular sector formed by the 100° angle is a fraction of A so has area

S = (100/360) A

The isosceles triangle in the sector has two sides that are radii and an included 100° angle so area

T = (1/2) ab sin θ = (1/2) (8.35)(8.35) sin 100°

The circular segment has area S-T so the area of the pink region is

P = A - (S-T) = A+T-S = π(8.35)² + (1/2) (8.35)² sin 100° - (100/360) π(8.35)²

= (8.35)²(π -(100/360)π + (1/2) sin 100°)

= (8.35)²((260/360)π + (1/2) sin 100°)

I hate ruining a nice exact answer with an approximation, but they asked.

≈ 192.527 square feet

Answer: 192.5

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Answers

Lets solve this step by step.A is not a positive because (-9)*8=-72.B if positive because -12*(-3)=36. A negative times a negative is a positive.C is also a positive because (-2/5)*(-4) is a positive.D is not a positive because like A, one is negative and the other number is positive. A negative times a positive is a negative.I hope it helped!

We need to solve this by looking at each answer choice.

A. $- (w)/(9)=8$

To solve for w, we need to multiply by -9 on both sides.

So, $-(w)/(9) * -9 = 8 * -9\n\nw = -72$

This is not a positive solution. So eliminate A.

B. $(-12) = (y)/((-3))$

To solve for y, we need to multiply by -3 on both sides.

So, $(-12) * (-3) = (y)/((-3)) * (-3)\n\ny = 36$

This is a positive solution. This is one of our answers.

C. $[tex]-4* (-5)/(2)= -(2)/(5)z* -(5)/(2)\n\nz = 10$ [/tex]

We need to multiply by -5/2 on both sides to solve for z.

This is a positive solution. This is one of our answers.

D. $(1)/(7)x = -2$

We need to multiply by 7 on both sides to solve for x.

So, $(1)/(7) x * 7 = -2 * 7\n\nx = -14$

This is a negative solution. So this is not the answer.

So your final answer is B and C.

a swimmingnpool is 50 meters long. Jamie swam 60 lengths of the pool in one week. How many kilometers did she swim

Answers

the awnser is either 1050 or 3000 choose witch one is more reasonable for your question

Jamie swam: 3 km

The answer is 3 km because,

50 x 60 = 3,000

As we know 1 km = 1,000 meters.

So3 km would equal 3,000 meters.

That being said, 3 km is the answer!

Enzo picked 56 Strawberry's at a farm this is 25 more than the number of apples he picked

Answers

it is telling you that the number of strawberries he picked is 25 MORE than the number of apples
that means that strawberries are more
that is the first step
then we will see by how much he said 25
means if you took 25 strawberries both apples and strawberry will be same
so we will take 25 from the number of strawberry to get the number of apple

56-25=31 apples

I wish you ubderstood

56 minus 25 equals 31

64/81=(8/9) what is the exponent

Answers

Answer:

2 is the exponent

Step-by-step explanation:

Given is an equation as

$(64)/(81) =((8)/(9) )^m$

and we have to find the exponent m

Since 64 and 81 are prime to each other we cannot simplify the fraction.

We find that both 64 and 81 are perfect squares of 8 and 9 respectively

Hence we write

$(64)/(81) =((8^2)/(9^2) )\n(64)/(81) =((8)/(9) )^2$

Comparing m =2

Hi

x = exponent

64 = 8·8 = 8^2
81 = 9·9 = 9^2

64/81 = 8^2/9^2 = (8/9)^2

(8/9)^2 = (8/9)^x

x = 2

Answer: The exponent is 2

Paige is a student in Mrs. Harding,where there are 10 boys and 14 girls.Mrs Harding is randomly selecting a student to do this week's presentation.What is the probability that Paige will be selected to do this week's presentation?