Answer:
You can used it to help me out with a good time with this and
Step-by-step explanation:
8/18 because just times them by 2 and it will be 8/28.
Pretty sure it’s 65 since its alternate interior angles which equal 180
Answer:
n = 245/36
Step-by-step explanation:
Usually, these are solved in 2 steps:
- eliminate fractions by multiplying by the LCM of the denominators
- divide by the coefficient of the variable.
Doing that, we have ...
(49n)(36/49) = (49n)(5/n)
36n = 49·5 = 245 . . . . . simplify
n = 245/36 . . . . . divide by the coefficient of n
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Another way to do these is to rewrite the proportion with both sides inverted:
49/36 = n/5
Now, all you need to do is multiply by 5.
n = 5(49/36) = 245/36
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Or, you can do both of the original steps at the same time:
(49n/36)(36/49) = (49n/36)(5/n)
n = (49·5)/36 = 245/36
The answer is 8 ft.
The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So:
</span>l * w = 56
l * w * h = 840
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56 * h = 840
h = 840 / 56
h = 15 ft
Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
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l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56
Or: l² - 15l + 56 = 0
Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7
If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w
Therefore, l = 8 ft.
