The distance between the building and the base of the ladder is 5√3 feet.
<u>Step-by-step explanation</u>:
<u>Consider a right angle triangle</u>,
- Hypotenuse = Paula leaned a 10 ft ladder against a building.
- Height = the top of the ladder is exactly 5 feet up in the building.
- Base = 'x' ft, distance between the building and the base of the ladder.
<u>From the Pythagorean theorem</u>,
Base, x =
⇒ x =
⇒ x =
⇒ x =
⇒ x = 5√3
The distance between the building and the base of the ladder is 5√3 feet.
Answer:
<h3>x = -3 , x = 3</h3>
Step-by-step explanation:
7x² - 3 = 60
7x² - 3 - 60 = 0
7x² - 63 = 0
Simplify the terms
Divide both terms by 7
That's
x² - 9 = 0
Solve the quadratic equation
Use difference of two squares
That's
a² - b² = ( a + b)(a - b)
x² - 9 = 0
(x + 3)(x - 3) = 0
x + 3 = 0 x - 3 = 0
x = - 3 x = 3
Hope this helps you
152 per hour. Just take the 1672 and divide it by 11 to get your rate of change
Answer:
Step-by-step explanation:
The slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
<h3>
Answer: 10</h3>
====================================================
Explanation:
The two smaller triangles are proportional, which lets us set up this equation
5/n = n/15
Cross multiplying leads to
5*15 = n*n
n^2 = 75
----------
Apply the pythagorean theorem on the smaller triangle on top, or on the right.
a^2+b^2 = c^2
5^2+n^2 = m^2
25+75 = m^2
100 = m^2
m^2 = 100
m = sqrt(100)
m = 10