You would use unit rate for this. If Austin makes $209 in 11 hours, then he makes 209/11 = 19 dollars in 1 hour.
Then, we can make a proportion:
$19/1 hour = $152/ x hours
Cross multiply:
152 = 19x
Solve for x to get:
x = 8 hours.
ANSWER
EXPLANATION
The given trigonometric equation is
We factor cos(x) to get:
Apply the zero product property to obtain:
Using the unit circle,
when
and
We know
when
The sine function is negative in the third and fourth quadrants.
Hence the solutions are:
Answer: The answer is 9/20
Step-by-step explanation: 45/100 is 45%. Divide both sides by 5. That is 9/20. After that, 9/20 is at it's simplest form.
Answer:
$3.18
Step-by-step explanation:
Multiply the cost by the amount bought.
2.65*1.2=3.18
Answer:
363.6
Step-by-step explanation:
Given in the question,
side of square = 10
Step 1
To find the slant height pyramid we will use pythagorus theorem
13² = 5² + height²
height = √13² - 5²
= 12
Now find the height of the pyramid
12² = 5² + height²
height = 10.91
Step 2
Base area of the pyramid
area = l²
= 10²
= 100
Step 3
Volume = 1/3(height)(basearea)
= 1/3(10.91)(100)
= 363.6
