Answer:
Think of the total as 1/5 + 1/5 + 1/5 = 3/5
You have THREE fifths of material.
You use ONE of those fifths.
That leaves you with TWO fifths.
Step-by-step explanation:
Answer:
113.04 cubic units. ".04" is four hundredths.
(the units are not given here. They could be cubic feet, cubic inches, cubic meters, cubic centimeters. or other measurements.)
Step-by-step explanation:
To find volume we need to multiply the area of the base times the height.
The base of a cylinder is a circle.
The area is πr²
The given radius here is 3
3² is 9
π × 9 using 3.14 is 28.26
Multiply that area by the given height, 4
28.26 × 4 = 113.04
The volume if this cylinder is 113.04 cubic units.
Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=<u>4</u>
m<A=5x=5*4=<u>20°</u>
m<B=17x+2=17*4+2=68+2=<u>70°</u>
<u>Check</u>
A+B=90°
20+70=90°
<u>90°=90°</u>
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=<u>92</u>
m<A=x+11=92+11=<u>103°</u>
m<B=x-15=92-15=<u>77°</u>
<u>Check</u>
A+B=180°
103+77=180°
<u>180°=180°</u>
Answer:
A) {x < −2
{y ≤ −x − 2
Step-by-step explanation:
The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the <em>rate</em><em> </em><em>of </em><em>changes</em><em> </em>[<em>slopes</em>] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:
Dashed Line → >, <
Solid Line → ≥, ≤
is the vertical line with a <em>less</em><em> </em><em>than</em><em> </em>sign, so it gets the <em>dashed</em><em> </em><em>line</em>,<em> </em>whereas the other line has a <em>less</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal to</em><em> </em>sign, so this line gets the solid line.
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Answer: -8xf-16xg
Step-by-step explanation:
