Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
The volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of combined figure is:
Therefore, the volume of the figure is 381 cubic in.
Here, Coordinates: (4, 5) & (8, 9)
Calculation of Slope, m = y2-y1 / x2-x1
m = 9-5 / 8-4
m = 4 / 4
m = 1
Now, Take any coordinate:
y - y1 = m(x - x1)
y - 5 = 1(x - 4)
y - 5 = x - 4
y = x + 1
In short, Your Answer would be: y = x + 1
Hope this helps!
Answer:
4x^2 + 25x + 6
Step-by-step explanation:
-x(-5-4x) + 2(10x+3)
5x + 4x^2 + 20x + 6
4x^2 + 25x + 6
Answer:
1.6 miles
Step-by-step explanation:
Example 1
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
Answer:
It will take Jerome 1 1/2 (one and a half) minutes to write a full page.
Step-by-step explanation:
