Answer:
True
Step-by-step explanation:
The negative linear relationship means that there is inverse relationship between two variables. It means that if the independent variable increases the dependent variable decreases and if the independent decreases the dependent variable increases. It means that due to larger values of independent variable there occurs the smaller values for dependent variable.
The volume formula for a cylinder is :
V= (pi)(r^2)(h)
So r= d/2 where d = 16mm so r= 8mm h is given as equaling 5.7mm
Now just plug it into the formula.
V=(pi)(8^2)(5.7) = 364.8 pi mm = 1146.053mm
The simplified expression would be 3s + 15.
In order to find this we need to write an equation for the longest side. Since it's 3 more than twice as much as the smallest side (s), we can express it as 2s + 3. Now we simply add all 3 together and simplify.
2s + 3 + 12 + s -----> simplify
3s + 15
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = the the whole secant times the outside part of the secant.
EG²= (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 + EC
Now ED = EC + CD
26 = 6.5 + CD
26 - 6.5 = CD
19.5 = CD
It may help to draw a picture as you start planning this problem and draw a circle, showing a circle which represents the scale needle's range of motion 360 degrees around. The needle length will then be the radius of that circle.
We know that the needle rotated 68 degrees and are trying to find the distance it traveled in cm. To find out how far the needle traveled, we need to find the arc length - in this case, the distance between the needle's starting point and where it ended up after the oranges were placed on the scale on the circle.
There is a formula you can easily use to find the arc length
arc length = 2*

*r (

)
We need to input the radius, r into this formula, as well as the central angle measure c, which in this case is 68 degrees.
2

(16) (

)
If you multiply the above formula components all together using a calculator, you will get ~18.99. (When rounded to the second decimal place.)
So, the answer is around 19 cm. (Your answer may vary depending on how your teacher usually wants you to round answers.)