Answer: The answer is 148 square feet.
Step-by-step explanation:
So if we are given the information to the area of the composite figure, we just first have to find the area of the smaller shapes and then add them all together to achieve the total.
1. The larger rectangle is a 10 by 14 rectangle.
2. The smaller rectangle is a 1 by 8 rectangle.
How did I get around to 8 feet?
Subtract 3 and 3 from 14, and you'll get 8 for the side.
Now just find the areas of each of the rectangles:
1. 10 times 14 = 140
2. 1 times 8 = 8
Now add them together:
140 + 8 = 148
The answer is 148 square feet.
Answer:
15
Step-by-step explanation:
7+8 = 15
4+5+6 = 15
1+2+3+4+5 = 15
Answer:
The height of the cliff CD is approximately 539.76 m
Step-by-step explanation:
The given parameters are;
The first angle of elevation with which the captain sees the person on the cliff = 61°
The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°
The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°
∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;
The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°
By sine rule, we have;
AB/(sin(a)) = BC/(sin(c))
Which gives;
92/(sin(8°)) = BC/(sin(61°))
BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m
BC ≈ 578.165 m
The height CD = BC × sin(69°)
∴ The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.
The height of the cliff CD ≈ 539.76 m.
Answer:

Step-by-step explanation:
Volume formula for rectangular prism is 
Volume = length * width * height


Hope this helps
Answer:
Angle 3 is 49 degrees
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Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)