Answer:
5
Step-by-step explanation:
x = 5 ( as the radius of the circle)
Answer:
Step-by-step explanation:
3 sin²x-2cos x-3=0
3(1-cos² x)-2 cos x-3=0
3-3 cos²x-2 cos x-3=0
-3 cos ²x-2 cos x=0
cos x( -3cos x-2)=0
cos x=0
x=(2n+1)π/2,where n is an integer.
or -3 cos x-2=0
3 cos x=-2
cos x=-2/3
x=cos ^{-1}(-2/3)≈131.81°
Answer is 70 because one pound is 16 ounces and you do 16+16+16+16+4+2=70
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Step-by-step explanation:
Call the smaller solid the original one, and call the larger solid the scaled one.
1. Find the scale factor
scale factor = length in scaled one / corresponding length in original one
scale factor = 7.5/5 = 1.5
The scale factor is 1.5
That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.
Let's check our scale factor to make sure it's correct.
We see that the 5 m side corresponds to the 7.5 m side.
5 m * 1.5 = 7.5 m
Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.
b corresponds to 12 m
b = 12 m * 1.5 = 18 m
c corresponds to 13 m
c = 13 m * 1.5 = 19.5 m
h corresponds to 6 m
h = 6 m * 1.5 = 9 m
Answer:
b = 18 m
c = 19.5 m
h = 9 m
The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35
<h3>How to simplify the expression?</h3>
The expression is given as:
(-11/2x+30)-2(-11/4x-5/2)
Expand the bracket
-11/2x + 30 + 11/2x + 5
Collect the like terms
11/2x -11/2x + 30 + 5
Evaluate the like terms
35
Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35
Read more about expressions at:
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