Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
Answer:
-4 points
Step-by-step explanation:
Since each incorrect answer is worth the same amount of negative points, use the equation below.
3x = -12 DIvide both sides by 3
x = -4 points
Answer: 19
Step-by-step explanation:
The angles are supplementary, so

Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = s / 4 sqrt(2)
Multiply each side by 4 sqrt(2)
4 sqrt(2) *sin 45 = s
4 sqrt(2) * 1/ sqrt(2) =s
4
Answer:
14
Step-by-step explanation:
Divide 3 1/2 into 1/4