Answer:
it would be the 2nd option
Step-by-step explanation:
the volume of a soda can is like finding the volume of a cylinder. (The volume of a cylinder is (π r^2 x h) 3.14 times the radius squared, times the height.)
Answer: m = -5/8
Step-by-step explanation:
The general equation for slope is rise over run, also known as:
m=(y2-y1)/(x2-x1)
From the points (x, y), we can get all the variables we need.
(-1, -7) gives us x1 = -1 and y1 = -7
(-9, -2) gives us x2 = -9 and y2 = -2
If we plug all the values in, we get:
m = (-2 - (-7))/(-9 - (-1))
m = (-2 + 7)/(-9 + 1) the negatives cancel
m = (5)/(-8)
m = -5/8
<h3>
Answer: x = 19</h3>
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Explanation:
Arc XPZ = 271 is shown in the diagram below as the blue arc. The red arc is the remaining bit minor arc XZ. The term "minor arc" refers to any arc that is less than 180 degrees.
Subtract the measure of arc XPZ from 360 to get
360 - (arc XPZ) = 360 - 271 = 89
So minor arc XZ is 89 degrees. Central angle ZCX is also 89 degrees because this central angle cuts off (or subtends) minor arc XZ.
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We are told that angle XYZ circumscribes the circle. This is just another way of saying that segments XY and YZ are tangent to the circle. Tangent segments form 90 degree angles with the radius. Therefore, angles CXY and CZY are both 90. I have marked both angles with square angle markers in the diagram below.
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We know three angles of quadrilateral CXYZ.
- angle ZCX = 89
- angle CXY = 90
- angle CZY = 90
The only thing we don't know is angle XYZ, which we'll just call some variable for now. Let's use M. So M = measure of angle XYZ.
For any quadrilateral, the four angles always add up to 360 degrees
(angleZCX)+(angleCXY)+(angleCZY)+(angleXYZ) = 360
89+90+90+M = 360
269+M = 360
269+M-269 = 360-269
M = 91
angle XYZ = 91 degrees
Set this equal to (4x+15), which is what angle XYZ is also equal to, then solve for x
4x+15 = 91
4x+15-15 = 91-15
4x = 76
4x/4 = 76/4
<h3>x = 19</h3>
Answer:
[See Below]
Step-by-step explanation:
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→ Formula:
- .
→ Write out an equation:
- .
- The time it took him to reach the surface.
→ Solve by dividing on each side:
- ÷ .
- ÷ .
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So based on the work above we can conclude it took the diver:
- to reach the surface.
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