Answer: 43
Step-by-step explanation:
5-2+7x6-2
3+42-2
45-2
43
It's all right there in front of you.
-- The formula for volume is
Volume = (one dimension) x (another dimension) x (the last dimension)
-- The dimensions are (4), (n + 2), and (n + 5).
-- The volume is 280 .
Just multiply the 3 dimensions together, then say " = 280 ",
and solve the equation you have for 'n' .
Hint:
(4) x (n + 2) x (n + 5) =
(4) x (n² + 7n + 10) =
<u>4n² + 28n + 40 = 280
</u>Take it from there. Find 'n' .<u>
</u>
<span>The main formula of the surface area of a right prism is A = 2 x (w x h + l x w + l x h) , where w=7, l=8, and h=4, so the surface area value is A=2(7x4+8x7+8x4)=2(28+56+32=2x116=232. Besides, the volume of a right prism can be calculated with the formula V= l x w x h =8x 7x 4 = 224. Finally the ratio of the surface area to the volume is A / V= 232 / 224 = 1.04. the true answer is D</span>
Hey there!
First, you want to add together the numbers in the extended ratio. 6 + 7 + 8 = 21. This helps because you're looking to find how much greater the triangle is than the ratio.
So now, since you have the total "perimeter" of a triangle with sides of that ratio, just divide 63 by 21 to find how many times that ratio fits into this triangle.
63 / 21 = 3
So you now know that if you multiply all the parts of that ratio by 3, it'll get the side lengths of the triangle with a perimeter of 63 feet.
6 * 3 : 7 * 3 : 8 * 3
= 18:21:24
So the side lengths would be 18 feet, 21 feet, and 24 feet.
To check, I would add all the sides together to see if it equals 63 feet:
18 + 21 + 24 = 63
So your answer is 63.
Let x and y represent the two angles.
.. x + y = 90 . . . . . . two angles are complementary
.. x -2y = 15 . . . . . . one angle is 15 more than twice the other (y = smaller angle)
Subtract the second equation from the first.
.. (x +y) -(x -2y) = (90) -(15)
.. 3y = 75
.. y = 25
The smaller angle is 25 degrees.
