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Annette [7]
3 years ago
7

From a boat on the lake, the angle of elevation to the top of a cliff is 24°52'. If the base of the cliff is 944 feet from the b

oat, how high is the cliff (to the nearest foot)?
Mathematics
1 answer:
Luden [163]3 years ago
8 0
Tan 24° 52` = h / 944
h = 944 · tan 24°52`
h = 944 · 0.4634776
h = 437.52 ft ≈ 438 ft
Answer:
The cliff is 438 ft high.
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The sum of 2 numbers is 45. The larger number is 17 more than the smaller number. What are the numbers
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Answer:

the numbers are 31 and 14

Step-by-step explanation:

since the larger number is 17 more than the smaller number,

larger number= x

smaller number= x-17

x-17+x=45

2x=45+17

2x=62

x=31

x-17=31-17

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Zoe and Hannah share tips in the ratio 3:7. Last week Zoe recieved £24. How much did Hannah recieve last week?
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Zoe to Hannah is 3 to 7.
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x=56
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Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed
kupik [55]

Answer:

18 days

Step-by-step explanation:

1 cups=3 days

2 cups=6 days

3 cups=9 days

4 cups=12 days

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Whch of the following describes the translation of y = x to y = x+7-2
tamaranim1 [39]

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Step-by-step explanation:

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4 years ago
Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre
wlad13 [49]

Answer: No, Cammie is not correct. She can mow  1\frac{1}{5}\ acres in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow \frac{1}{2}\ acre in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

\frac{\frac{1}{2}}{25}=\frac{x}{60}

Solving for "x", you get:

\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1\frac{1}{5}

Therefore, she can mow  1\frac{1}{5}\ acres in one hour.

5 0
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