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2 years ago

The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.

Mathematics

1 answer:

antoniya [11.8K]2 years ago

3 0

Answer:

628ft²

Step-by-step explanation:

From the diagram, we are given the following

diameter of the semicircles

2semi circles = 1 circle

Area of 2semicircles = πd²/4

Area of 2semicircles = 3.14(20)²/4

Area of 2semicircles = 3.14*400/4

Area of 2semicircles = 3.14*100

Area of 2semicircles = 314ft²

Area of the quarter circle = πd²/4 * 1/4

Area of the quarter circle = πd²/16

d = 2r

d = 2*20

d = 40ft

Area of the quarter circle = 3.14(40)²/16

Area of the quarter circle = 3.14*1600/16

Area of the quarter circle = 3.14*100

Area of the quarter circle = 314ft²

Area of the fountain = 314ft²+314ft²

Area of the fountain = 628ft²

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Answer:

$56

Step-by-step explanation:

$80 x .3 = $24

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2 years ago

(I'm so lost I need help with this question!!!)

lozanna [386]

Answer:

1. 5 cm

2. 7.07 cm

Step-by-step explanation:

According to your provided information, the area of a square is A = s^2. They also tell you that the area of the square in the picture is 25cm^2. That means that, to find the length of any side (s), you just need to plug 25 in as the area. So

25 = s^2 ... Take the square root of both sides to isolate s.

s = ±5 ... But since we're talking about length, we only take the value positive five. (Length can't be a negative value.)

Now we have the length of any side as 5 cm, and they want us to find the length of the diagonal. We can use the Pythagorean theorem, a^2 + b^2 = c^2, where c will be the diagonal we want. We can do this because we know that ANY side of this square is s = 5, so if we plug that into a^2 + b^2 = c^2, we get

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25 + 25 = c^2 ... Add

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8 0

2 years ago

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Kisachek [45]

Answer:

number 1 is x=5. 2 is 0.8.

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2 years ago

49 and 95 is a multiple of 3,6,7

Elodia [21]

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Suppose you have some money to investfor simplicity, $1and you are planning to put a fraction w into a stock market mutual fun

posledela

Answer and Step-by-step explanation:

Solution:

Given:

Mean = 0.08

Standard deviation = 0.07

W = 0.75

The return on investment is:

R = W * RS + (1 – W)*RB

Compute the mean and standard deviation:

Mean:

E(R) = E[ W X RS + (1 – W) X RB]

The mean of R is given:

µ = W * RS + (1 – W)*RB

= 0.75 X 0.08 + (1 – 0.75) 0.05

= 0.06 + 0.0125

= 0.0725

Variance:

Var (R) = var [ w x RS + (1 – W)RB]

Var (R) = W 2 Var (RS )+ (1 –W)2 Var (RB) + 2w (1-w)cov(RS , RB)

The standard deviation of R is given by:

∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]

Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.

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2 years ago