The first answer is A because (b+6) represents the sidewalk length. (With the pool length and the two corners, which equal 3 ft each.) Then, the sidewalk width would be (h+6) for the same reason. Multiply them and get the pool area plus the sidewalk area. But you only need the sidewalk area so you would subtract the pool area from the whole area, to get (b+6)(h+6)-bh, or A in the end.
Unfortunately, I do not know the answers to the rest of the problems. I still hope this helped though!
As you can see in the picture, this is 6-8-10 right triangle.
One of angles is 90° so you can find others

8/6 = 4/3
6/8= 3/4
tan-1(4/3) = 36.9 °
tan-1(3/4) = 53.1 °
tan<R= 53.1 °
Hope this helps ^-^
Answer:
2.25 radians
Step-by-step explanation:
First we need to find the length of the circunference, using the formula:
C = 2 * pi * r
Where r is the radius. Using r = 8, we have:
C = 2 * pi * 8 = 50.2655 cm
Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:
2pi rad -> 50.2655 cm
x -> 18 cm
x = 18 * 2pi / 50.2655
x = 2.25 rad
<em><u>4 pints of strawberries and 2 pints of blueberries are bought</u></em>
<em><u>Solution:</u></em>
Let "a" be the pints of strawberries bought
Let "b" be the pints of blueberries cost
Cost per pint of strawberry = $ 1.60
Cost per pint of blueberry = $ 2.30
<em><u>A shopper bought twice as many pints of strawberries as pints of blueberries</u></em>
Therefore,
a = 2b --------- eqn 1
<em><u>They spent a total of $11.00. Therefore we frame a equation as:</u></em>
pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

1.6a + 2.3b = 11 --------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
1.6(2b) + 2.3b = 11
3.2b + 2.3b = 11
5.5b = 11
Divide both sides by 11
b = 2
<em><u>Substitute b = 2 in eqn 1</u></em>
a = 2(2)
a = 4
Thus 4 pints of strawberries and 2 pints of blueberries are bought
Answer:
The answer to the problem is 125y⁶