V = B · h; where B is the area of the base
150 in³ = 30 in² · h
5 in = h
Answer: 5 in
Answer:
7.61 miles
Step-by-step explanation:
Given that,
Haley hikes 3 miles north and 7 miles east.
We need to find the shortest distance from the campground to the waterfall. Let the distance is D.
It can be calculated as follows :

So, the shortest distance from the campground to the waterfall is 7.61 miles.
Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = 
= 
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' = 
= 
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = 
x = 
From equation (1),
y = 2x + 7
y = 
= 
= 
= 
Therefore, exact solution of the system of equations is
.
Option (B) will be the answer.
Answer: the original cost of the item is 90$
Step-by-step explanation:
30% off of the item = 27$
27 dollar is 30% of the item
thus 27 = 0.30X
0.30X = 27
time both side by 10
3X = 270
270/3 = 90
Answer:
3.5ft
Step-by-step explanation:
To calculate the volume of something, you need to know the formula. Length x width x height. You already know the width, and the height, so you need to find the length.
4ft x 6ft x 3.5ft = 84ft^3