Answer:
4.25
Step-by-step explanation:
if you multiply 3 1/2 x 3 1/2 x 7, you get 85.75 so you subtract 85.75-90 which equals 4.25. and that is you answer hope this helps!!!
Answer:
30°, 60°
Step-by-step explanation:
Let x represent the measure of the smaller angle in degrees. Then the larger unknown angle is 2x, and the sum of the angles in the triangle is 180°:
x + 2x + 90° = 180° . . . the sum of the angles in the triangle
3x = 90° . . . . . . . . . . . . subtract 90°, collect terms
x = 30° . . . . . . . . . . . . . divide by 3; this is the smaller angle
2x = 60° . . . . . . . . . . . .this is the larger angle
The two angles that are not the right angle are 30° and 60°.
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<h3>Answer : (-2,11)</h3>
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<h3>Known that</h3>
y = -2x² - 8x + 3
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<h3>Way to do + explanation</h3>
#First, find the x coordinate first by using the formula of -b/2a
x = -b/2a = -(-8)/2(-2) = 8/-4 = -2
#After getting the x, find the y
y = -2(-2)² - 8(-2) + 3
y = -2×4 +16 + 3
y = -8 + 16 + 3
y = 11
So the vertex is
(-2,11)
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Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
