Question 1
cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17
Answer: Choice C) 15/17
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Question 2
sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25
So angle E is the answer
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Question 3
AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7
Answer: 11.7
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Question 4
x = length of board
cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5
Answer: 10.5
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Question 5
112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg
tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6
Answer: 210.6
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
Answer:
5
Step-by-step explanation:
10*1/2=5
Connor ate half of the slices, half of 10(Being the slices connors pizza was cut into) is 5
Answer:
We conclude that:
(gºf)(4) = g(f(4)) = g(6) = 6
Step-by-step explanation:
Given
We have to determine (gºf)(4).
(gºf)(4) = g(f(4))
f(4) = 2(4)-2
= 8 - 2
= 6
Thus,
(gºf)(4) = g(f(4)) = g(6) = 6
Therefore, we conclude that:
(gºf)(4) = g(f(4)) = g(6) = 6
Answer:
Profit for 100 burritos: $550
Cost to make one burrito: $2.50
Step-by-step explanation:
If a restaurant sells burritos for $8, that's a positive 8 dollars they earned. Then, we need to find what the cost was to make the burrito. If the meat is 1.50 and the cost for all the other ingredients is 1 dollar, then they lose 2.50 for every 8 dollars they make (for each burrito). So, to find the profit in one burrito, we would add -2.5+8, giving us an answer of 5.5. So, they earn 5 dollars and 50 cents each burrito and lose $2.50.
Now, we need to find the profit of 100 burritos
If one burrito is $5.50 in profit, then we take that amount and multiply it by 100. This is to make the illitsratution of selling 100 burritos. So, 5.50*100 would be 550! They would make $550 for 100 burritos, and lose 250 dollars on all of the burrito ingredients.
