Answer:
160% of 45 is 72.
Step-by-step explanation:
72/45=1.6
1.6=160%
To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
Answer: see proof below
<u>Step-by-step explanation:</u>
![\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcl%7Ccl%7D%26%5Cunderline%7B%5Ctext%7BStatement%7D%7D%26%26%5Cunderline%7B%5Ctext%7BReason%7D%7D%5C%5C1.%26TU%5Cperp%20SV%261.%26%5Ctext%7BGiven%7D%5C%5C2.%26%5Cangle%20TUV%20%3D%2090%5Eo%262.%26%5Ctext%7BDe%20finition%20of%20Perpendicular%20angles%7D%5C%5C%26%5Cangle%20TUS%20%3D%2090%5Eo%26%26%5C%5C3.%26%5Cangle%20TUV%3D%5Cangle%20TUS%263.%26%5Ctext%7BTransitive%20Property%7D%5C%5C4.%26UV%3DUS%264.%26%5Ctext%7BGiven%7D%5C%5C5.%26TU%3DTU%20%265.%26%5Ctext%7BReflexive%20Property%7D%5C%5C6.%26%5Ctriangle%20TUV%20%3D%20%5Ctriangle%20TUS%266.%26%5Ctext%7BSAS%20Congruency%20Theorem%7D%5C%5C7.%26VT%3DST%267.%26CPCTC%5Cend%7Barray%7D)
Compatible numbers are numbers that are close in value to the actual numbers and easy to add, subtract, multiply, or divide mentally. They are useful in estimating the sum, difference, product, or quotient.