The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
It takes three 1-gallon buckets to paint 72sqft, if you simplify or find the unit rate, you can know that you can paint 24sqft with one 1-gallon bucket of paint. Since you need to paint 90 sqft, you can’t use three buckets because it only covers 72sqft, but if you use 4 buckets, it will cover 96sqft.
THE ANSWER IS 4 1-GALLON BUCKETS OF PAINT
Answer:
10 feet
Step-by-step explanation:
Find the hypotenuse
a^2 + b^2 = c^2
6^2 + 8^2 =c^2
36+ 64 = c^2
100=c^2
(square root) 100 = 10
c=10
Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
Ratio is the comparison of two numbers In A problem
