The correct answer is: [C]: " 8.64 mm² " .
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Note:
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Area of a triangle = (½)*(base length)*(height; that is, "perpendicular height");
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or: A = (½) * b * h ;
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Given: "b = 4.8 mm" ;
"h = (¾) * b = (¾)* (4.8 mm) = 3.6 mm ;
→ h = 3.6 mm ;
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→ A = (½) * b * h ;
= (½) * (4.8 mm) * (3.6 mm) ;
→ A = 8.64 mm² ; which is: Answer choice: [C] .
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You need to multiply the volume of a cone by 3 to get the volume of its corresponding cylinder (a cylinder with the same base radius and perpendicular height).
As in:
Vol. of a cylinder= πr²h
and Vol. of a cone= ⅓πr²h
So assuming volume of a cone is ⅓V, then the volume of the cylinder will be ⅓V × 3 which equals V.
<span>Pick two pairs: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Eliminate the same variable from each system: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Solve the system of the two new equations: -5y - 5z = - 10. 5y - 7z = 34. ... Substitute into one of the original equations: - x + 2y - 5z = 17. ... <span>Check: Does 2(1) + 4 + 3(- 2) = 0 ? Yes.</span></span>
solution:
a) The mean value of gap w̅ is given by,
w̅= d̅ - a̅ - b̅ - c̅
w̅=06.520-0.150-2.000-3.000
w̅=0.020 in
bilateral tolerances of the gap is given by,
tw = ∑t
tw = 0.001+0.003+0.004+0.010= 0.018 in
w = 0.020 ± 0.018 in
b) if wmin =0.010 in , then
w̅ = wmin + tw
w̅ = 0.010+ 0.018=0.028 in
mean size of d is
d̅ = a̅ + b̅+ c̅+ w̅
d̅ =1.500+2.000+3.000+0.028
= 6.528 in
