Answer:
p - 3
Step-by-step explanation:
![- 3 + p = p - 3](https://tex.z-dn.net/?f=%20-%203%20%2B%20p%20%3D%20p%20-%203)
Answer:
x= 7.1
Step-by-step explanation:
use sine because x is the opposite and 10 is the adjacent
set up your equation:
sin(45)= x/10
multiply both sides by 10:
10(sin(45))= (x/10)10
10(sin(45))= x
multiply 10 by sin(45):
7.1=x
V=area base times height
18=4.5 times height
divide booth sides by 4.5
4=height
heigt=4 inches
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:
1 oz =48 cookies
Step-by-step explanation: