Answer:
16.58 feet
Step-by-step explanation:
a² + b² = c²
Think of this as a right triangle
The hypotenuse is 30, and one of the legs is 25
To find the other leg, subtract the square of the hypotenuse by the square of the given leg
30² - 25² = leg
900 - 625 = 275
Square root the answer to find the length of the missing leg
√275 = 16.583123951777
The leg is 16.58 ft.
Answer:
20 flapjacks is the answer.
Answer:
B
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year,
then, solving our equation
I = 16500 × 0.042 × 5 = 3465
I = $ 3,465.00
The simple interest accumulated
on a principal of $ 16,500.00
at a rate of 4.2% per year
for 5 years is $ 3,465.00.
Answer:
#1. x = -1
Answer = 8
#2. x = 1/5
Answer = 344/25
#3. x = 14
Answer = 13328
Step-by-step explanation:
#1. a. plug in -1
f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14
b. Solve the exponents.
(5(-1)^3)
(5x-1)
(-5) - (2(-1)^2) - (-1) + 14
(2(-1)^2)
(2x1)
(-5) - (2) - (-1) +14
c. simplify.
(-5) - (2) + 1 + 14
-7 + 15
8
#2.
f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14
(5(1/5)^3)
(5 x 1/125)
(1/25) - (2(1/5)^2)
(2 x 1/25)
(2/25)
(1/25) - (2/25) - (1/5) +14
(-1/25) - (1/5) +14
Note: (1/5) turns into (5/25) so it can be subtracted.
-6/25 + 14
Note: 14 turns into 350/25 so it can be added.
350/25 - 6/25 = 344/25
#3.
f(14)= (5(14)^3) - (2(14)^2 - (14) + 14
Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.
f(14)= (5(14)^3) - (2(14)^2)
( 5 (14^3))
(5 x 2744)
(13720) - (2(14^2))
(2 (14^2))
(2x196)
392
(13720) - 392
13328
Good Luck!
