For a triangle the area is given as:
Re-arrange / solve for 'h':
Substitute known values:
Compute:
Re-arrange / solve for 'h':
Substitute known values:
Compute:
Cylinder A has a radius of 4 centimeters. Cylinder B has a volume of 176π cubic centimeters. What is the height of cylinder B?
2 answers:
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You reflect a function with respect to the axis by changing its sign.
In fact, if you consider the two alternatives
and
you can see that you're choosing opposite outputs for the same inputs.
In other words, one graph will be made of points like , the other of points like
And the transformation
is exactly a reflection with respect to the axis.
Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
We have to add 8/15 to 2/5.
To add two fractions we have to make them have the same denominator, so we have to convert 2/5 to have a denominator of 15. To do this, we have to multiply 2/5 by 3 and then we can add the fractions:
Answer: 14/15