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RSB [31]
3 years ago
13

Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = \frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})

                           = \frac{1}{2}(3.14)(10)^2+(40\times 20)

                           = 157 + 800

                           = 957 square feet

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The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice
Svetach [21]

Answer:

The radius of the circles are 4\ m  and   8\ m

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

\pi x^{2} +\pi y^{2}=80\pi

x^{2} +y^{2}=80 -----> equation A

Remember that

x=2y -----> equation B

substitute equation B in equation A and solve for y

(2y)^{2} +y^{2}=80

4y^{2} +y^{2}=80

5y^{2}=80

y^{2}=16

y=4\ m

Find the value of x

x=2y

x=2(4)=8\ m

therefore

The radius of the circles are 4\ m  and   8\ m

4 0
3 years ago
Suppose that a company has recently started manufacturing a new line of​ helicopters, and it took 106.496 labor days to complete
Allisa [31]

A "learning rate" expresses the ratio of the labor spent on the n-th item to that spent on the (n/2)-th item. That is, the 8th helicopter manufactured took days related by ...

0.8 × (days for 8th) = (days for 16th)

(days for 8th) = (days for 16th)/0.8 = 1.25×(days for 16th)

Then the days for the 4th are 1.25 times that, and the days for the 2nd are 1.25 times the days for the 4th. The days for the first helicopter will be

... 1.25⁴×106.496 days = 260 days

The appropriate choice is

... d. 260

5 0
3 years ago
Write the expression that would represent “seven less than five times a number.”
Misha Larkins [42]

Answer:

7-5x

Step-by-step explanation:

3 0
3 years ago
Will be giving brainliest to whoever can answer this question
Step2247 [10]

Answer:

see below

Step-by-step explanation:

360 - 56 - 106 = 198 degrees

198 / 3 = 66 degrees per unit

angle f = 132 degrees

angle g = 66 degrees

8 0
3 years ago
Is the relationship shown by the data linear? If so, model the data with an equation.
Marina CMI [18]

Answer:

4th option

Step-by-step explanation:

The relationship is linear,

putting the value of x in the right side of the equation of option 4, you'll get the value of the left side

putting, x=1

y+4=-1/2(x-1)

y=-1/2(1-1)-4

y=-4

putting, x=7

y+4=-1/2(7-1)

y=-1/2(6)-4

y=-6/2-4

y=-3-4

y=-7

8 0
3 years ago
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