Volume of a right prism = Area of the base * height
the base is the right triangle.
Area of a right triangle = ab/2
a = 15 inches ; b = 8 inches
Area of a right triangle = (15in * 8in)/2 = 120 in² / 2 = 60 in²
V = B * h
V = 60 in² * 10 in
V = 600 in³ Choice B.
Answer:
13a² - 39a + 46
Step-by-step explanation:
To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.
g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22
3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24
Combine the values to find g(a-2)+3g(2a).
g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46
Answer:
$23.50
Step-by-step explanation:
multiply 12 by 1.75 then add 2.50 to it to get the cost of taxi fee of 12 miles
Answer:
yes
Step-by-step explanation:
Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or

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Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality
is the same as 
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Let's multiply both sides by 15 to clear out the fractions

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Now isolate the variable b

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.