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laila [671]
3 years ago
6

A 16-ft-long ramp rises at an angle of 18.5 degree. How long is the base of the ramp to the nearest foot?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer: 13 ft

Step-by-step explanation: The bottom of the 14 foot ramp is equivalent to about 12.98 feet.

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after 6 months, $1.78 simple interest was earned on an investment of $890. what was the annual interest rate
umka21 [38]
First you have to double the simple interest to get the amount earned in 1 year. That gives $3.56 earned and a total balance of $893.56
r = (1/t)(A/P - 1)  t=time, A=amount of money with interest, P=amount invested
r = (1/1)((893.56/890) - 1) = 0.004
r = 0.004
 now convert to a decimal to get .04 = 4%
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3 years ago
Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o
ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0
3 years ago
Describe the error in finding the median of the data.
damaskus [11]
The error is that the numbers are not in order from least to greatest.
To find the median of data you need to first put the numbers in order from least to greatest.
3 0
3 years ago
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A spinner is divided into 15 identical sectors and labeled 1 through 15.
avanturin [10]
Sender would be 4 x 7 divided by 15
4 0
2 years ago
Abd and cbe are vertical angles, given that abd=13y-25 mcbe=5x+79 what is the value of x?
astraxan [27]

Answer:

-15.8

Step-by-step explanation:

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3 years ago
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