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:
B
Step-by-step explanation:
eliminating systematic measurement errors caused by errors in the measuring instrument used to compare the quantity being measured with a standard.
The elimination method is the process of solving the system of equations, by cancelling unknowns in the system. This makes more simple to solve and easy to solve for the resting unknowns.
Equation solving. A solution is an assignment of expressions to the unknown variables that makes the equality in the equation true. In other words, a solution is an expression or a collection of expressions (one for each unknown) such that, when substituted for the unknowns, the equation becomes an identity .
Answer:
The first thing we need to do is to find the area bounded by:
y = x^3
y = 0
between:
x = 0 and x = 2
This is the integral of the given function between x = 0 and x = 2, written as:
This means that the area of the bounded region is 4 square units.
Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.
The volume is:
V = (4 square units)*(2*pi units) = 8*pi cubic units.
(Notice that no option coincides with this, there may be a mistake in the options)
Sec(theta) = 1 / cos(theta) = 5 / 3 solve for cos(theta)
Answer:
C
Step-by-step explanation:
-2x + 7= 3x -8
+8
-2x + 15=3x
+2x
15=5x
divide
x=3
put 3 in one of the equations
y= 3(3) - 8
y=9-8 = y=1
answer is c
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