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3 years ago

Find the area of the green sector if ∠ A = 45° and the circle has a radius of 10 inches.

Mathematics

2 answers:

Travka [436]3 years ago

5 0

The answer to this is (D)

Furkat [3]3 years ago

3 0

Answer:

D) 25π/2 in²

Step-by-step explanation:

The area of a sector of central angle θ and radius r is ...

... A = (1/2)r²θ

Your sector has central angle π/4 and radius 10 in, so has area ...

... A = (1/2)(10 in)²(π/4)

... A = 25π/2 in² . . . . matches selection D

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Find the perimeter of the isosceles triangle in simplest radical form.

neonofarm [45]

9514 1404 393

Answer:

6 +8√5

Step-by-step explanation:

The leg length can be reduced to simpler form:

3 +√45 = 3 +√(3²·5) = 3 +3√5

The perimeter is the sum of the side lengths, so is ...

(3 +3√5) +(3 +3√5) +(2√5) = 6 +8√5 . . . perimeter

4 0

3 years ago

A carnival is being set up in your hometown. From experience, the carnival organizer knows that the amount of money he will brin

pentagon [3]

Answer:

$6,200

Step-by-step explanation:

The question is to find the expected value.

We know the expected value of a scenario is the sum of the products of each probability of event and its profit or loss.

There are 3 probabilities in the scenario:

Rainy: 20% = 20/100 = 0.2

Sunny: 50% = 50/100 = 0.5

Cloudy: Rest, which is 100 - (50+20) = 100 - 70 = 30% = 30/100 = 0.3

Now, the gain and loss is:

Rainy: Lose 5000 means -5000

Cloudy: Gain 4000 means +4000

Sunny: Gain 12,000 means +12,000

Now, the expected value is:

Expected Value = (0.2)(-5000) + (0.5)(12000) + (0.3)(4000) = $6,200

8 0

3 years ago

How do you write this equation x+5=2(7+x)

True [87]

Answer:

x=-9

Step-by-step explanation:

x+5=2(7+x)

x+5=14+2x

x-2x=14-5

-1x=9

x=-9

3 0

3 years ago

Read 2 more answers

The video game Fortnite uses a process called skills- based matchmaking to create games where the people in a match are about ev

Montano1993 [528]

Answer:

the K/D range is 22%

Step-by-step explanation:

8 0

3 years ago

A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface ar

Norma-Jean [14]

Answer:

$\LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}$

<h2>GIVEN - </h2>

Water tank which is in a shape of right rectangular prism

Dimensions = 6 feet × 4 feet × 7 feet

Surface area of tank

<h2>SOLUTION - </h2>

Using formula of surface area of right rectangular prism -

Surface area =

$2(wl + hl + hw)$

L = length

w = width

h = height

( assumimg 6 feet = L , 4 feet = W , 7 feet = h)

Putting value of L, W and H in the equation. we get,

=2(4 × 6 + 7 × 6 + 7× 4)

= 2(24 + 42 + 28)

= 2( 94)

= 2 × 94

= 188

7 0

3 years ago

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