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Zinaida [17]
1 year ago
7

What is the height of a right triangle with an angle that measures 30 degrees adjacent to a base of 14

Mathematics
1 answer:
stepladder [879]1 year ago
3 0

The height of the right triangle is 8.08

<h3>Calculating the height of a triangle </h3>

From the question, we are to determine the height of the described right triangle

From the given information,

The angle measure is 30 degrees adjacent to the base

and

The base is 14

Using SOH CAH TOA

Adjacent = 14

Opposite = height of the triangle

Let the height the h

∴ Opposite = h

Thus,

tan 30° = h/14

h = 14 × tan 30°

h = 8.08

Hence, the height of the right triangle is 8.08

Learn more on Calculating height of triangle here: brainly.com/question/10082088

#SPJ1

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2-1/2 cups water minus 1-2/3 cups water =
weeeeeb [17]

The difference between the mixed numbers is equal to 5/6.

<h3>How to perform the subtraction between the two mixed numbers?</h3>

A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:

(2 + 1/2) - (1 + 2/3)

We can group the whole numbers and the fractions, so we get:

(2 - 1) + (1/2 - 2/3)

Now we can simplify this so we get:

(2 - 1) + (1/2 - 2/3)

= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6

We conclude that the difference between the mixed numbers is equal to 5/6.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

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7 0
2 years ago
Chung is practicing archery so far he has fired 5 arrows at a target and hit the center 2 times at this rate if he fires 100 arr
bagirrra123 [75]
40 because if you multiply 2 by 100 it is 200 then divide that by 5 and you get 40
4 0
3 years ago
Read 2 more answers
Lashonda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.C
musickatia [10]
Answer:
30 < m
The solution would be (30, ∞)

Explanation:
For company A:
The charge is: $96 for any number of mileage ..............> I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II

We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m

This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B

Hope this helps :)

3 0
3 years ago
11. Which matrix represents the system of equations below?
dimulka [17.4K]

Answer:

\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

Step-by-step explanation:

The system of equations is;

-12x-13y +13z =15

7x-10y-3z = 11

7x+14y +5z = -5

The coefficient matrix is \left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]

The constant matrix is \left[\begin{array}{c}15\\11\\-5\end{array}\right]

The augmented matrix is \left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

4 0
3 years ago
A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h,
aev [14]

Answer:

I think the answer is 24 minutes!

Step-by-step explanation:

I hope this helps!

5 0
2 years ago
Read 2 more answers
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