Answer:
1. x = 10
2. x = 8
3. x = 7
Step-by-step explanation:
1. Sum of Angles in a triangle = 180
(6x + 3) + (5x - 7) + 74 = 180
11x - 4 + 74 = 180
11x + 70 = 180
Subtract 70 from both sides
11x = 110
Divide both sides by 11
x = 10
2. (8x + 1) + (7x + 14) + 45 = 180
15x + 15 + 45 = 180
15x + 60 = 180
Subtract 60 from both sides
15x = 120
Divide both sides by 15
x = 8
3. We first have to get the 3rd angle: 180 - Exterior angle = 3rd angle
180 - 118 = 62
Now we can find the value of x
10x + (6 + 6x) + 62 = 180
16x + 68 = 180
Subtract 68 from both sides
16x = 112
Divide both sides by 16
x = 7
Answer:
576 cuboids
Step-by-step explanation:
Let
x -----> the length side of the cube
n -----> number of cuboids that are needed
we know that
The volume of the cuboid is equal to
The volume of the cube is equal to
Find the number of cuboids that are needed
n*24 must be a perfect cube
so
The minimum value that satisfied n to make n*24 a perfect cube is n=576
Answer:
6
Step-by-step explanation:
80- 34.34 = 45.66
45.66 ÷ 7.61 = 6
This is the concept of linear proportionality;
We are required to find the height of the tower in feet. The height of the tower will be found as follows;
[height of tower]/[length of the shadow of tower]=[height of post]/[length of shadow of the post]
height of the tower =h
height of the shadow=100ft
height of post=4 ft 6in=4 1/2 ft= 9/2 ft
length of the post's shadow=3 ft 4 in 3 1/3 ft=10/3 ft
N/B 1 ft= 12 inches
thus;
h/100=(9/2)/(10/3)
multiplying both sides by 100 we get:
h=(9/2)/(10/3)*100
h=9/2*3/10*100
h=135 ft
the answer is 135 ft
