Answer:
h = 19.7 ft.
Step-by-step explanation:
Use the Pythagoras Theorem
Now we take square root on both sides,
so the value of h equals 19.7 ft.
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
Answer:
50% Red, 50% Black
Hope this helps:)
Step-by-step explanation:
They are in agreement. All of the expressions provided are equivalent. Chris says that 14.6 percent of the world's oranges are grown in Florida. Then, Mary Beth says that 292 out of 2000 oranges are grown in Florida. If we compare the two, 292 is actually 14.6 percent of 2000. So they are saying the same thing. Allison says that 0.146 of the oranges are grown in Florida. 0.146 is actually 14.6 percent as a decimal, so if we change it back into a percent, she is saying that 14.6 percent of oranges are grown in Florida. Sound familiar? They are all in agreement.<span />
