Answer:
Step-by-step explanation:
A = 4 ft
B = 10 ft
C = 8 ft
D = 6 ft
b) Area of rectangle = length * width
Area of 2 triangle = base * height
Area of right triangular prism = area of 2 triangles +area of left rectangle + area of middle rectangle + area of right rectangle
= 6 * 8 + 4* 6 + 4 * 10 + 4 * 8
= 48 + 24 + 40 + 32
= 144 ft²
Answer:
Step-by-step explanation:
<h3>Part B</h3>
Assumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
- h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>
Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
- V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
- V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³
<u>Total sand in the bottom part:</u>
<u>Time taken:</u>
- 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
the measures of the angles are:
<h3>
How to find the measures of the angles?</h3>
Two angles are a linear pair if their measures add up to 180°.
Then we will have that:
∠EFG + ∠GFH = 180
Here we know that:
m∠EFG=3n+23
m∠GFH=2n+32
Replacing that we get:
3n + 23 + 2n + 32 = 180
5n + 55 = 180
5n = 180 - 55 = 125
n = 125/5 = 25
Then the measures of the angles are:
m∠EFG=3n+23 = 3*25 +23 = 98°
m∠GFH=2n+32 = 2*25 + 32 = 82°
If you want to learn more about angles:
brainly.com/question/17972372
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