Answer:
<em>Answer: B. 38 mm</em>
Step-by-step explanation:
<u>The Perimeter of a Shape</u>
The perimeter of a given shape is the sum of all exterior lengths surrounding the shape.
The figure shows a shape where all the external measures are given except the leftmost side.
This length is the sum of 3 mm + 10 mm = 13 mm.
Now calculate the perimeter:
P = 4 mm + 3 mm + 10 mm + 8 mm + 13 mm = 38 mm
Answer: B. 38 mm
Answer:
12 trips
Step-by-step explanation:
Given;
Dimension of cone shapef pile of earth;
height h = 12 ft = 4 yards
diameter d = 30 ft = 10 yards
radius r = d/2 = 10/2 = 5 yards
The volume of a cone V;
V = (1/3)πr^2 h
Substituting the given values;
V = (1/3) ×π × 5^2 × 4 cubic yards
V = 104.72 cubic yards
Given that a dump truck have a capacity of 9 cubic yards.
Vc = 9 cubic yards
Number of trips it will take is;
N = Volume of earth pile/truck capacity
N = V/Vc
Substituting the values;
N = 104.72/9
N = 11.64
N ≈ 12 trips
Therefore, the truck will make 12 trips
Problem
Solution
for this case we know that when x =2/3 , y= 6
Then we want to find the value of y= ? when x= 10 1/3 = 31/3 and we can do this:
6/(2/3) = y/(31/3)
And solving for y we got:
y = (3/2) * 6 * (31/3) = 31*3 = 93
C. y= 93
Answer:
The food store used 3 lbs of clusters, 6 lbs of granola, and 3 lbs of raisins.
Step-by-step explanation:
Given that:
A food store makes a 12-lb mixture of granola, clusters, and raisins.
The cost of granola = 1.00 per pound
The cost of clusters = 3.00 per pound
The cost of raisins = 2.00 per pound
Let granola be = g; cluster be c and raisins be r
Then, g + c + r = 12
Similarly, the mixture calls for twice as much granola as clusters.
2c + c + r = 12
3c + r = 12
r = 12 - 3c
2c(1) + 3c + 2r = 21
2c + 3c + 2r = 21
5c + 2r = 21
5c + 2(12 -3c) = 21
5c + 24 - 6c = 21
24 - c = 21
-c = 21 - 24
c = 3
Thus, cluster c = 3 lbs
granola = 2(c) = 2(3) = 6 lbs
raisins = 12 - 3c
= 12 - 3(3)
= 12 - 9
raisins = 3 lbs
