Answer:
58.5
Step-by-step explanation:
since a triangle consists 180 degrees, 180-90-31.5 would equal 58.5
- The ratio of the heights of the pyramid given at the end of the answer is of: 1:3.
- The ratio of the surface areas of the pyramid given at the end of the answer is of: 1:9.
- The ratio of the volumes of the pyramid given at the end of the answer is of: 1:27.
<h3>How to obtain the ratios?</h3>
The first step in obtaining the ratios is finding the ratio of the heights, which is given as follows:
5:15 = 1:3.
The heights are measured in units, while the surface area is measured in units squared, hence the ratio is squared, as follows:
(1:3)² = 1:9.
The volume is measured in cubic units, hence the ratio is cubed, as follows:
(1:3)³ = 1:27.
<h3>Missing Information</h3>
The pyramid is given at the end of the answer.
For different dimensions, the procedure of taking the ratio of the heights, then the surface area is squared and the volume is cubed remains.
More can be learned about ratios of area and volume at brainly.com/question/15990299
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Solve <span>3x+2y-6=0 for y
2y-6=-3x
2y=-3x+6
y=-1.5x+3
So the slope of the reference line is -1.5. For two lines to be parallel they must have the same slope so our line will also have a slope of -1.5 so we have:
y=-1.5x+b, now we can solve for b given the point (0,0)
0=-1.5(0)+b
0=0+b
b=0 so our line is:
y=-1.5x</span>
Answer:
6x2+x+2
Step-by-step explanation:
Mark Brainliest?
9 is 82 blue v-necks and 43 red crew necks. 10 is for one angle it's 56 and fornthe other it is 34. For the first one, let a = blue v-necks and b = red crew necks. Then we have a system of equations: a + b = 125(total amount of shirts) and 7.95a + 8.95b = 1036.75(cost of shirts times how many shirts sold is the profit they got). Multiplyig the top equation by 8.95 we get 8.95a + 8.95b = 1118.75. Subtract that from the second and we get (8.95 - 7.95)a + (8.95 - 8.95)b = 82. The b is gone from that zero and a is being multiplied by one so that means a = 82. Plugging that into a + b = 125 and we get 82 + b = 125 ∴ b = 43. For the second question, since two angles are complementary, we can say ∠A = 90° - ∠B Then its says ∠A = 2∠B - 12. So putting the second ∠A def. into the first equation we get 2∠B - 12 = 90° - ∠B. Adding ∠B to both sides we get 3∠B -12 = 90°. Then adding 12 to both sides we get 3∠B = 102°. Divide by three and you get ∠B = 34 ∴ ∠A = 56.
