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Liula [17]
4 years ago
12

Frank stands 450 feet from the base of the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of de

pression from the top of the statue’s torch to Frank?
Mathematics
1 answer:
expeople1 [14]4 years ago
7 0
<span>We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
θ = 36.9°.</span>
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The letters 's', 't', 'u', 'd', 'y', 'i', 's', 'l', 'a', 'n', 'd' are placed in a bag. one letter is randomly selected from the
Aleks [24]

Answer:

<em><u>7/11</u></em>

Step-by-step explanation:

There are 11 letters in 'S', 'T', 'U', 'D', 'Y', 'I', 'S', 'L', 'A', 'N', 'D', so there are 11 letters in the bag.

There are 7 consonants in the bag.

So, the probability of selecting a consonant is 7 out of 11, or 7/11

3 0
3 years ago
Wilma works at a bird sanctuary and stores birdseed in plastic containers. She has 2 small containers that hold 8 pounds of bird
Amanda [17]

Answer:

 60 lbs left over

Step-by-step explanation:  Since the small containers hold 8 lbs each you multiply 8 by 2 since there are 2 containers. Same for the large, multiply 9 by 12 because each container holds 12 lbs and there is 9 containers. Then, you subtract 4 from that total because she already used 4 lbs.

x=(2*8)+(9*12)-4 Multiply

x=16+108-4 Simplify

x=120

So, before she fills the bird feeders she has 120 lbs of bird seed. There are 30 bird feeders and since they hold 2 lbs each you multiply 30 and 2. Then you subtract that from the 120 lbs because she is filling the bird feeders with that seed.

120- (30*2)

120-60= 60 lbs left over

3 0
3 years ago
Examine the table of equivalent ratios and complete this statement. For 5 servings, the ratio of cups of water to cups of juice
shepuryov [24]

Answer:

Step-by-step explanation:     This is five-fold proportion

The first ratio gives solution namely

We will write general proportion  

a:b= c:d= e:f = g:h= i:j = k

According to this the first ratio gives coefficient k

When we divide 24/2 =12 our coefficient k=12

In the second ratio we will multiply 3 with 12 and get 36.

In the third ratio we will multiplu 5.5 with 12 and get 66.

In the fourth we will divide 108 with 12 and get 9.

In the fifth we will multiply 15 with 12 and get 180.

Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15

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3 years ago
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