Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area =
= 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume =
= 100%
Answer:
0.44ft/hr
Step-by-step explanation:
Given parameters:
Quantity of rainfall = 8inches
1ft = 12inches
so;
= 0.67ft
Time =
hr
Unknown:
Rate of rainfall expressed in ft/hr = ?
Solution:
The rate of the rainfall is given as;
Rate =
Rate =
= 0.44ft/hr
The correct answer for the question that is being presented above is this one: "<span>C) </span>4.2 inches." Bella has sampled the heights of 30 students at Ridgemont High and obtained a mean of 64.2 inches. He constructs a 90% confidence interval, which turns out to be (61.0, 67.4). The margin of error is <span>C) </span><span>4.2 inches </span>
Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102
Answer:
91 less
Step-by-step explanation:
I hope you understand that one