Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
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<h3>Triangle EGH:</h3>
EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
<h3>Triangle FGH:</h3>
FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
Answer:
m = 
Step-by-step explanation:
f = 4m + 3m -1
f = 7m - 1
<em>Adding 1 to both sides</em>
f+1 = 7m
<em>Dividing both sides by 7</em>
m = 
Answer:
f(4) =0 because 4>0
f(-2) =-2 coz -2 lies between 0 and -3
f(-5) =2/-5
Answer:
4021.2 cm³
Step-by-step explanation:
you start by getting the radius, the radius is half the diameter which in this case half of 16 is 8 so 8 is your radius and you already know the height which is 20, now that we have the radius and the height we can start
the formula for finding the volume of a cylinder is πr² · h
so are formula would be π8² · 20 which turns into π64 · 20 which then turns into 1280π or 4021.238...
which you then said we need to round the nearest tenth so 4021.238 to the nearest tenth is 4021.2 cm³
Answer:
B: When one quantity is a constant multiple of the other