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taurus [48]
3 years ago
13

A right triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches what is the inches. What is t

he length of the other leg round to the nearest tenth
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0
Tan(30°) = opposite/adjacent  ⇒

opposite = adjacent * tan(30°) = 25 * 0.5773 ≈14.4 in  ← <span>to the nearest tenth.</span>
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Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0
3 years ago
Find the area of the triangle. A drawing of a triangle with base of 18 inches and height of 7 inches. The area is square inches.
Citrus2011 [14]

Answer:

63

Step-by-step explanation:

First we multiply :)

18 x 7 = 126

Now we divide :)

126/2 = 63

Therefore your answer will be 63. :)

Have an amazing day!!

Please rate and mark brainliest!!

3 0
2 years ago
After vigorous activity, your heart rate declines 7 beats per minute. How much would
Katarina [22]

Answer:

56

Step-by-step explanation:

7 heartbeats *8 minutes = 56

8 0
3 years ago
3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

First applying the property m*log(x)= log(x^m) , we will get.....

ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})

Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
5 eights greater than 2 thirds
beks73 [17]
No 5/8 is not greater then 2/3, 5/8 is just 1/24 smaller then 2/3.
4 0
3 years ago
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