Answer:
140° and 50°
Step-by-step explanation:
The supplement of the angle (180 - x)
The complement of the angle = (90 - x)
(180 -x) = 4(90-x) - 60
180 - x = 360 -4x - 60
180 -x = 300 - 4x
180 - x + 4x = 300
180 + 3x = 300
3x = 120
x = 40
The supplement (180 - x) = 180 - 40 = 140°
The complement (90 - x) = 90 - 40 = 50°
For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x²
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have
9x²×pi×h=45×pi×x³
simplified h=5x
Answer:
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Answer:
The brownies will be a little thicker in a 9 x 13” pan. 8 x 8= 64 square inches, doubled that's 128. 9 x 13= 117
Step-by-step explanation:
