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Ulleksa [173]
3 years ago
5

A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest

tenth of a​ degree, if its final height is 5 feet.
Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

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What is 7 1/12 - 2 3/4 in simplest form
stich3 [128]

7 1/12  -  2 3/4

First we have to change mixed numbers to improper fractions

7 1/12  =  7 x 12 + 1 = 85   85/12

2 3/4  =  2 x 4 + 3 =  11     11/4

 85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4  =  33/12 

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12.  Now we subtract

85/12  -  33/12  =  52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.


6 0
3 years ago
Showing in the photo is an fraction
Masteriza [31]
He has about 2.3125 yards of fabric to make a vest.
8 0
3 years ago
Karita had $138.72 in her checking account. She wrote checks for $45.23 and $18.00. Then she made a deposit of $75.85 into her a
svetlana [45]

Answer:

The best estimate for the money in Karita's account now is $151.

Step-by-step explanation:

Given:

Karita had $138.72 in her checking account.

She wrote checks for $45.23 and $18.00.

Then she made a deposit of $75.85 into her account.

Now, to find the best estimate for the money in Karita's account now.

<em>Initial account = $138.72.</em>

<em>Deducted amount = $45.23+$18.00=$63.23.</em>

So, the amount after deduction:

$138.72 - $63.23 = $75.49.

Now, the amount after deposit:

$75.49 + $75.85 = $151.34.

Therefore, the best estimate for the money in Karita's account now is $151.

6 0
3 years ago
Please help meeee ………..
Len [333]

Answer:

  x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

  \dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}

__

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

  \log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5

6 0
2 years ago
HELP FOR BRAINLIEST &amp; 50<br> please
Ganezh [65]

Answer:

pd 6 13.25

Step-by-step explanation:

4 0
2 years ago
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