Answer:
397.7 m²
Step-by-step Explanation:
Step 1: find m < W
W = 180 - (33+113) (sum of ∆)
W = 34°
Step 2: find side UV using the law of sines
Multiply both sides by sin(34)
(approximated)
Step 3: find the area using the formula, ½*UV*VW*sin(V)
area = ½*29.8*29*sin(113)
Area = 397.7 m² (rounded to the nearest tenth.
Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation:
Answer:
67
Step-by-step explanation:
its not a 90!!! tilt your screen.
Given sides are 4x10x7. A rectangular prism with have 4 sides and 2 ends...we know area is length x height.. so the first side is 10x7 = 70mm. There are 4 sides so 70 x 4 = 280mm, then the end is 4x7 = 28. There are 2 ends so 28x2= 56mm. Combine 280+56 = 336mm. Hope that helps.
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Answer:
Justin travels 211.83 miles on 8.2 gallons of gas.
Step-by-step explanation:
77.5 miles / 3.1 gallons = x miles / 8.2 gallons
Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.
8.2 gallons *77.5 miles / 3.1 gallons = x
635.5/ 3.1 = x
211.83 miles = x
