Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
The volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of combined figure is:
Therefore, the volume of the figure is 381 cubic in.
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
Answer: angle A=40, Angle B=74, Angle C=66
Step-by-step explanation:
We all know that a triangle has 180 degrees.
3x-8+5x-6+4x+2=180
12x-12=180
12x=180+12
12x=192
x=16.
∠A=2(16)+8=40
∠B= 90-16=74
∠C = 5(16) -14= 66
Answer:
18.2m^2
Step-by-step explanation:
2 x 1 ÷ 2 = 1 both sides are set to 1
base 3 x 1 = 3
2.2 x 3 = 6.6
add up all sides 6.6 + 6.6 + 3 + 1 + 1
