Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:
Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Answer:
(c) 115.2 ft³
Step-by-step explanation:
The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.
__
<h3>Cube</h3>
The volume of the cube on the left is given by ...
V = s³
V = (4.2 ft)³ = 74.088 ft³
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<h3>Pyramid</h3>
The volume of the pyramid on the right is given by ...
V = 1/3Bh . . . . . where B is the area of the square base
V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³
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<h3>Total</h3>
The volume of the composite figure is the sum of these volumes:
cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³
The volume of the composite figure is about 115.2 ft³.
Answer (x represents the first direction and the y represents the second direction):
- (x - 3) × (y + 5)
- New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroom
I hope this helps!
Answer:
(1/4)x=2 1/2
Step-by-step explanation:
It is 2.5 gal. of water and 0.25 gal. of water per plant.
It could also be x=(1/4)/(2 1/2)
Answer:
what the question
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Step-by-step explanation:
