Which of the following is equivalent to 18 - V-25? 18-5; 18 + 5 23

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

Neporo4naja [7]

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

8 0

3 years ago

WILL MARK BRAINLIST!! SOS MATH. Look at picture

Aleks [24]

Answer:

Yes, the transformation is a 270° clockwise rotation

Step-by-step explanation:

(-3, 4) ,( -4, 7) and (-2,7) transformed to (-4, - 3), (-7, -4) and (-7, -2).

Rule for 270° clockwise rotation:

(x, y) --> (- y, x)

A transformation that doesn't change the size or shape of an object.

So answer is:

Yes, the transformation is a 270° clockwise rotation

5 0

3 years ago

you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu

Alex Ar [27]

Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

25% of olive oil remains means that 75% has been used.

2212 quarts = 22.5 quarts used

22.5.75=q.25

Multiply both sides by .25 to isolate q.

22.5.75(.25)=q.25(.25)

5.625.75=q

7.5=q

3 0

3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

so

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

so

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

What is the range of the data shown on the stem-and-leaf plot? 93 43 50 48

notsponge [240]

Answer: C) 50

Step-by-step explanation:

The smallest number on the plot is 43. The largest is 93. The range of a chart is the largest number - the smallest number. Thus, simply do 93-43 to get 50.

Hope it helps <3

5 0

2 years ago

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