6hours(25papers/hour)=150 papers
Answer:
The total length of rebar used is 21.66 meters.
Step-by-step explanation:
Given:
Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.
Number of pieces = 19
Length of each piece = 1.14
We need to find the total length of reinforcing bar.
To calculate the total length we will multiply number of pieces with length of each piece.
Hence,
Total length of rebar = Number of pieces × Length of each piece = 
Rounding to nearest hundred = 21.66 m
Hence the total length of reinforcing bar is 21.66 meters.
Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
The volume of sphere is
inches cubed.
Step-by-step explanation:
Given,
Diameter of sphere = 10 inches
Radius of sphere = 
Radius of sphere = 5 inches
Volume of sphere = 
V = 

The volume of sphere is
inches cubed.
Keywords: volume, division
Learn more about division at:
#LearnwithBrainly
Sin (A + B) = sin A cos B + cos A Sin B
<span>Cos (A - B) = cos A cos B + sin A sin B </span>
<span>=> (SinACosB+ CosASinB) (CosACosB +SinASinB) </span>
<span>=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... </span>
<span>=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) </span>
<span>we know that Sin^2+Cos^2=1 </span>
<span>=>SinACosA(1)+SinBCosB(1) </span>
<span>=SinACosA+SinBCosB </span>
<span>Proved
</span>