Answer:
I. Base area = 35 cm²
II. Volume of rectangular prism = 350 cm³
Step-by-step explanation:
Given the following data;
Length = 7cm
Breadth = 5cm
Height = 10cm
a. To find the base area of the rectangular prism;
Base area = length * breadth
Base area = 7 * 5
Base area = 35 cm²
b. To find how much it takes to fill the rectangular prism, we would need to determine its volume.
Volume of rectangular prism = length * breadth * height
Volume of rectangular prism = 7 * 5 * 10
Volume of rectangular prism = 350 cm³
c. To find the answers to the other part of the question, we would determine the capacity of the prism in litres.
Capacity = volume in cm³ to litres
1 centimeter = 0.001 litres
Capacity = 350 * 0.001
Capacity = 0.35 litres.
If you would like to know how many free throws did a basketball player attempted, you can calculate this using the following steps:
75% of x is 84
75% * x = 84
75/100 * x = 84
x = 84 * 100 / 75
x = 112 free throws
The correct result would be 1<span>12 free throws.</span>
To solve this problem you must apply the proccedure shown below:
1. You have that
varies jointly as
and
and inversely as the product of
and
. Therefore, you can write the following equation, where
is the constant of proportionality:

2. Now, you must solve for the constant of proportionality, as following:

3. Susbtiute values:


4. Substitute the value of the constant of proportionality into the equation:

The answer is: 
The answer is 3/2
3 units up and 2 units to the left that is the slope
Answer:
S'(5,-1), M'(1,-3)
Step-by-step explanation:
So, if the rotation is clockwise, the formula is (x,y)--->(-x,-y).
The original points are, (-1,3) and (-5,1).
Using the formula,
(-1,3) ----> (1,-3)
(-5,1) ----> (5,-1)
For the question in the image, the reflection over the x-axis is..
S'(-5,1) ---> (-5,-1)
M'(1,-3) ---> (-1,-3)