Answer:
x=2/3
Step-by-step explanation:
8 (3x-4)= 4x-2
24x-32= 4x-2
20x=30
x=2/3
Seven divided by eight is 0.88 or 0.875
Answer:
$43.20
Step-by-step explanation:
If each family member buys one ticket and one lunch, then for ticket price t we have the total expenditure as ...
5(t +6.50) = 248.50
t +6.50 = 49.70 . . . . . divide by 5
t = 43.20 . . . . . . . . . . subtract 6.50
The price of each train ticket is $43.20.
Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
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The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
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This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
Answer:
d ≈ 1732 ft
Step-by-step explanation:
Angle of elevation = Angle of depression
Following this truth,
m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°
By applying tangent rule in the given triangle ABP,
tan(30°) = 
d = 1000√3
d = 1732.05
d ≈ 1732 ft
