$45.75 because you take the 2.75 and times it by how may books which is 13 and you get $35.75 then you add your $10 and it will give you $45.75
To solve the area of a cylinder, you need to do steps.
Calculate volume of a cylinder: V = πr2h.
...
Calculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrh.
...
Calculate the top and bottom surface area of a cylinder (2 circles): T = B = πr. ...
Total surface area of a closed cylinder is:
439.82 square inches
The circumference of a circle is calculated using the following equation:
![C= \pi d](https://tex.z-dn.net/?f=C%3D%20%5Cpi%20d)
Where d is equal to the diameter (the length of a straight line from one side of the circle to the other side).
We know that the diameter of the circle given (also known as AB) is equal to 20 cm.
We can then plug this into the equation and solve for the circumference:
![C= \pi (20)](https://tex.z-dn.net/?f=C%3D%20%5Cpi%20%2820%29)
Since the question asks for the answer to be in terms of
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
, this is as far as we need to go. So
the circumference of the circle is:
or D.
Answer:
The value of BK is 3m and the value of CK is 2.4m.
Step-by-step explanation:
Given information: ABCD trapezoid
, BC=1.2m, AD=1.8m
, AB=1.5m, CD=1.2m
, AB∩CD=K.
Using the given information draw a figure.
Two sides of a trapezoid are parallel.
Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.
![AD\parallelBC](https://tex.z-dn.net/?f=AD%5CparallelBC)
(Corresponding angles)
(Corresponding angles)
By AA rule of similarity
![\triangle KBC\sim \triangle KAD](https://tex.z-dn.net/?f=%5Ctriangle%20KBC%5Csim%20%5Ctriangle%20KAD)
Corresponding sides of similar triangles are proportional.
![\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}](https://tex.z-dn.net/?f=%5Cfrac%7BKB%7D%7BKA%7D%3D%5Cfrac%7BKC%7D%7BKD%7D%3D%5Cfrac%7BBC%7D%7BAD%7D)
![\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%2B1.5%7D%3D%5Cfrac%7By%7D%7By%2B1.2%7D%3D%5Cfrac%7B1.2%7D%7B1.8%7D)
![\frac{x}{x+1.5}=\frac{1.2}{1.8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%2B1.5%7D%3D%5Cfrac%7B1.2%7D%7B1.8%7D)
![\frac{x}{x+1.5}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%2B1.5%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![3x=2x+3](https://tex.z-dn.net/?f=3x%3D2x%2B3)
![x=3](https://tex.z-dn.net/?f=x%3D3)
The length of BK is 3 m.
![\frac{y}{y+1.2}=\frac{1.2}{1.8}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7By%2B1.2%7D%3D%5Cfrac%7B1.2%7D%7B1.8%7D)
![\frac{y}{y+1.2}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7By%2B1.2%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![3y=2y+2.4](https://tex.z-dn.net/?f=3y%3D2y%2B2.4)
![y=2.4](https://tex.z-dn.net/?f=y%3D2.4)
The length of CK is 2.4 m.