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Ymorist [56]
3 years ago
8

Part of the area under this ramp serves for storage. Items can be stored only in the unshaded part of the ramp

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

48.1 m³ available, 2.5m³ not available

Step-by-step explanation:

Tan(X) = 4.5/(5.8+1.7)

Tan X = 3/5

Hypotenuse² = 3² + 5² = 34

Sin X = 3/sqrt(34)

X = 30.96

1/sinX = 1.7/SinY

Y = 61.003°

Third angle: 180 - X - Y = 88.037

Volume

= ½ × 1.7 × 1 × sin(88.038) × 3

= .

= 2.548

= 2.5m³

Available for storage:

½×4.5×7.5×3 - 2.548

= 48.077 = 48.1 m³

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3 years ago
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Find the product: 3/4 x 2/3. What's the product? 5/7, 6/12, 5/12, 6/7. What is it please help me!!!!
Zolol [24]

Answer:

1/2

Step-by-step explanation:

3/4 x 2/3

= 1/2

3 0
3 years ago
Please<br> <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21-%28n%2B1%
Nana76 [90]
Hi there!
We are given the function - 
\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}
and are told to find the limit of the function. 
The limit would be n approaches infinity, giving us an answer of -1. 
Here is how you solve this:
\frac{(n+1)!}{n!-(n+1)!}
Divide by (n + 1)! - 
\frac{1}{\frac{1}{n+1}-1 }
Now, we can refine the function - 
\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }
Now, just simplify. This gives us - 
\lim_{n \to \infty} (1)
We can use the rule \lim_{x \to a}c=c to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!


3 0
3 years ago
To estimate the average annual expenses of students on books and class materials a sample of size 36 is taken. The sample mean i
Elena L [17]

Answer:

C) $826.82 to $873.18.

Step-by-step explanation:

Sample mean (M) = $850

Standard deviation (s) = $54

sample size (n) = 36

Z for 99% confidence interval (Z) = 2.576

The confidence interval is determined by the following relationship:

M \pm Z*\frac{s}{\sqrt{n}}

Applying the given values, the lower (L) and upper (U) values are:

850 \pm 2.576*\frac{54}{\sqrt{36}}\\L=\$826.82\\U=\$873.18

The answer is C) $826.82 to $873.18.

6 0
3 years ago
Does anyone know? Pls help lol
seropon [69]
Side a = 10

Explanation:
8x 8 = 64
6 x 6 = 36
64 + 36 = 100
Square root on both sides = 10
8 0
3 years ago
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