C+a=166
a=166-c
5.3c+9.2a=1254.2
5.3c+9.2(166-c)=1254.2
5.3c+1527.2-9.2c=1254.2
5.3c-9.2c=1254.2-1527.2
-3.9c=-273
c=-273/-3.9
c=70
Hope this helps!
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
Answer:
B
Step-by-step explanation:
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.
5.5 + 2.1x + 3.8x - 4.1
5.5-4.1 +x(2.1+3.8)
1.4 +x(5.9)
5.9x+1.4
these are equivalent if there is a plus sign between 1.4 5.9x
