Answer:
189.3 in.²
Step-by-step explanation:
The shape consists of a half circle and a rectangle. Therefore,
Area of the shape = area of the half-circle + area of the rectangle
= ½(πr²) + L*W
r = radius of the half-circle = ½(10) = 5 in.
L = length of the rectangle = 15 in.
W = width of the rectangle = 10 in.
Plug in the values
Area of the shape = ½(π*5²) + 15*10
Area of the shape = 39.27 + 150
= 189.27 ≈ 189.3 in.² (Nearest tenth)
Answer:
- 1 grams of one of the alloy; and
- 7 grams of the other corresponding alloy.
Step-by-step explanation:
The ratio between the gold and silver in the first piece = 2:3
The ratio between the gold and silver in the second piece =3:7
The ratio in the mixture = 5:11
We want to have 8 gram of the new mixture.
Let the gram of alloy taken from the first piece=x
Therefore: gram of alloy would be taken from the second piece=(8-x)
This gives:

We simplify the equation above for the value of x.

Therefore to create 8 gram of gold and silver alloy with gold-silver ratio 5:11, we take 1 grams of one of the alloy and 7 grams of the other alloy.
Answer:
32
Step-by-step explanation:
12 * (3 + 2²) / 2 - 10
12(3 + 4) / 2 - 10
12(7) / 2 - 10
84 / 2 - 10
42 - 10
32
Best of Luck!
Answer:
No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.
Step-by-step explanation:
Answer:
3
6
9
12
15
Step-by-step explanation:
substitute them all and this is what you will get