Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
Answer:
g(x)= x^2+10x + 24.
Step-by-step explanation:
g(x) = (x + 5)^2 −1
= x^2 + 5x + 5x + 25 - 1
= x^2 + 10x + 24
g(x)= x^2+10x + 24 is your answer.
Hope this helps!
Answer:
Look below. The answers are bolded!
Step-by-step explanation:
1. <em>10x + 23</em>
5+6(2x+3)-2x
Distribute first!
5 + 12x + 18 -2x.
Now you can combine like terms.
23 + 10x
2. <em>18x + 6</em>
3(4x+8) + 3(2x-6)
Distribute first!
12x + 24 + 6x - 18
Now you can combine like terms.
18x + 6
3. <em>-2x + 8</em>
(32-8x)
____
___
4
Divide 32 and -8x by 4.
32/4 = 8
-8x/4 = -2x
-2x + 8
4. <em>4x + 3</em>
24x+18
______
6
Divide 24x and 18 by 6
24x/6 = 4x
18/6 = 3
4x + 3
Answer:
Area: 312
Perimeter: 75
Step-by-step explanation:
Area is l·w
20·16=320
two corners aren't filled
320-9-9=318
Add all the sides for perimeter
17+3+3+13+20+13+3+3=75
10√3 cm.
The radius of an incircle of a hexagon is the same measure as the apothem. find the apothem by taking half of the central angle and create a right triangle perpendicular to the side. The central angle is 60 so the angle opposite the side length will be 30. this creates a 30-60-90 triangle with the ratio x:x√3:2x. half the side opposite 30 is 10, so x=10. the base angle of the side is 60 so it will be x√3. plug in 10 for x to get 10√3 cm.
