The number is 17 61/100. 61/100 can't be reduced, because 61 is a prime number.
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
(x,y) = (-2, -1)
Step-by-step explanation:
We start off by substituting the value of "x".
5x+7y=-17
x=-
We then solve 5
y=-1 *Substitute the value of "y"
x= -
x=-2
This works.
The first one is the answer to the first question.
the second one is the answer to the second question
Answer:
D
Step-by-step explanation:
Wee have research and development costs:
$150,000 + $185,000 = $335,000 + $125,000 =TOTAL $460,000
Testing for evaluation of new products can be considered since these new products are results from the research and development done by Heller Co.