Answer: OPTION B
Step-by-step explanation:
To solve this problem you must add the areas of each rectangle that form the prism;
The area of a rectangle can be calculated with the formula:
There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:
Answer:
Area of the dilation = 10.8 square inches
Step-by-step explanation:
Given the original dimension
Length = 12inches
Width = 10inches
If they are dilated by a factor of 0.3
New length = 0.3 * 12 = 3.6in
New width = 0.3 * 10 = 3in
Area of the dilation = 3.6 * 3
Area of the dilation = 10.8 square inches
The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.
(729/ 27) = 27
∛27 = <u>exactly 3</u> . No rounding required.
You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
