Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
It will take 49 minutes for 9 people to paint 7 walls
Answer:
Radius= 8.99 mm (9 mm)
Step-by-step explanation:
We use the formula for the volume of a cone which is
1/3 pi ×(radius)^2 *height
932.58 = (pi) × (11) ×(r^2/3)
Radius^2 = (932.58×3) / (11pi)
= 80.96m
Radius= 8.99mm
X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)
8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5
Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
Similar triangles may or may not be congruent
- The height of the peak is 72 feet
- The triangles are similar by AA similarity postulate
<h3>How to determine the similarity statement</h3>
First, we determine the height of the peak using the following equivalent ratios
P B : B M = T F : F M
So, we have:

Express the units in inches

Express as fractions

Multiply both sides by 240


Express as feet

So, the height of the peak is 72 feet
The ratio also means that the triangles are similar by AA similarity postulate
Read more about similar triangles at:
brainly.com/question/14285697