THEOREM:
<u>Pythagorean theorem</u>:– In a right angled triangle, the sum of squares of two legs is equal to the square of hypotenuse.
ANSWER:
Let the other leg be p, by pythagorean theorem
p² = h² - b²
p² = (8)² - (5)²
p² = 64 - 25
p² = 39
p = √39 ft.
So, <u>Correct choice</u> - [B] √39 ft.
<span>The conditional probability of a student selected is a male and has student loans to pay off after graduation in the State University is computed as follows:</span> Given probabilities:
<span>.12- male with a loan to pay off after graduation (Event A)</span>
.60 - male and female with a loan to pay off after graduation (Event B)
A/B
(.12)/.60
<span>.2</span>
Answer:
x= -3
Step-by-step explanation:
mutliply the -3 to parentheses.
-3x+12 = 21
-3x = 21-12
/-3
x= 9/-3
x= -3
Answer:
see explanation
Step-by-step explanation:
Given
(x + 2)(x - 7) = 0 ← in standard form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
Thus the zeros are x = - 2 and x = 7
Answer:
Mass of the liquid in the tank will be 
Step-by-step explanation:
We have given volume of tar 
1 gallon = 3.785 liter
So 
Specific gravity = 1.2
Density of water 
We know that specific gravity 
Density of liquid 
So mass of liquid = volume × density
= 
So mass of the liquid in the tank will be
