Answer: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":
You can identify that the x-coordinate of the point is:
And its y-coordinate is:
According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point is the following:
→ 
Then, the point translated is:
→ 
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,
where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
, 
, 
and
Hence, substituting these values in the above formula, we get,
Simplifying the terms, we get,
Adding the terms, we have,
Thus, the surface area of the triangular prism is 1664 square inches.
Answer:
Step-by-step explanation:
Add up all the values for the height and divide by 9. do the same for the leaf scars.
Answer:
Yes
Step-by-step explanation:
3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5
= 14d - 10.5
2*[7d - 5*1.05] = 2*7d - 2*5*1.05
= 14d - 10.5
When we are simplifying both the expression using distributive property, we get the same expression at the end.
Answer:
$892.50
Step-by-step explanation:
The amount of interest earned is given by ...
I = Prt
Filling in the given values, we have ...
$178.50 = P·0.04·5
Dividing by 0.20 gives ...
$178.50/0.20 = P = $892.50
The principal amount in Kelly's account is $892.50.
