Every Triangle adds up to 180 degrees
180 - 63 = 117 | 117 - 56 = 61 so x = 61
12y + 3 = 51 so y = 4
Question author, it's spelled pi not pie, and we use just use the Greek letter π. Students, demand better from your teachers.
1. Rectangular prism, aka a box. Volume is length times width times height.
V = 5×7×9 = 315 cubic feet
That's cubic feet of course, the product of three lengths. We didn't even need to do the problem, just look for the common answer and pick the one with the right units. I just saw that same pattern in a volume problem yesterday.
Answer: 315 cubic feet, first choice
2. Cylinder, volume is base area times height, πr²h. We have a radius of r=14/2=7 yd and h=8 yd. We're using π=3.14.
V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds
Answer: 1230.9 cubic yards, last choice
Answer:
-450
Step-by-step explanation:
Say the first number is x to get the idea.
The first 150 terms are 150x - 5 * 150
15x - 750
300 - 750 = -450
A) The Girth is calculated as; 45.625 inches
B) The calculated girth is greater than the maximum of 45 inches and as such we will conclude that we will not be able to store the suitcase in the overhead compartment.
<h3>How to use basic math's operations?</h3>
We want to find the girth of a suitcase.
Now, we are told that the formula to calculate the girth of a suitcase is;
Girth = Length + Width + Depth
A) We are given;
Length of Suitcase = 24.5 inches
Width of suitcase = 14.25 inches
Depth of Suitcase = 6.875 inches
Thus;
Girth = 24.5 + 14.25 + 6.875
Girth = 45.625 inches
B) We are told that in order for us to use the suitcase in the overhead compartment, that the girth must not exceed 45 inches.
Now, our calculated girth is greater than the maximum of 45 inches and as such we will conclude that we will not be able to store the suitcase in the overhead compartment.
Read more about basic math's operations at; brainly.com/question/4721701
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V = 1/2B*H*L
V = 12*35*40/2
V= 16,800/2
V= 8,400

The volume of the right prism is B) 8,400