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mina [271]
3 years ago
12

Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)

Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = \frac{opposite}{adjacent} = \frac{18}{a}

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = \frac{18}{tan48} ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = \frac{opposite}{hypotenuse} = \frac{18}{c}

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = \frac{18}{sin48} ≈ 24.2 ( to the nearest tenth )

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Answer:

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A 25-foot ladder leans against a wall. The base of the ladder is 15 feet from the bottom of the wall. How far up the wall does t
motikmotik

Answer: 20 feet.

Step-by-step explanation:

Observe the right triangle attached.

You need to find the value of "x".

Then, you can use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.

 In this case, you can identify that:

a=25ft\\b=15ft\\c=x

Substitute these values into  a^2=b^2+c^2:

 (25ft)^2=(15ft)^2+x^2

Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:

x^2=(25ft)^2-(15ft)^2

x=\sqrt{(25ft)^2-(15ft)^2}

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3 0
4 years ago
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MATH
Scrat [10]

The sum of the lengths of the tables and the total length of overhang

give the length of fabric that Devon needs.

Response:

  • The total yards of fabric needed to make the table runners is<u> 12 yd</u>.

<h3>How can the given dimensions be added to obtain the length of fabric needed?</h3>

The given parameters are;

Length of the small tables = 6 feet

Length of the long tables = 10 feet

Length of overhang on each end = 8 inches

Number of small tables = 12

Number of long tables = 2 × 12 = 24

Required:

The yards of fabric needed to make the table runners.

Solution;

The total number of tables = 12 + 24 = 36

Length of overhang for each table = 8 inches + 8 inches = 16 inches

Sum of the length of the overhang = 36 × 16 inches = 576 inches

From the given unit conversion factors, we have;

Sum of the length of overhang = 576 inches ÷ 12 inch/feet = 48 feet

Length of the tables = 12 × 6 feet + 24 × 10 feet = 312 feet

Total length of table runner = 312 feet + 48 feet = 360 feet

Length of table runner needed = 360 feet ÷ 3 feet/yd = <u>120 yd.</u>

Learn more about unit conversion here:

brainly.com/question/4845674

4 0
2 years ago
BRALIEST IF CORRECT :))
yuradex [85]
A. Is the right answer I think I have e does this one before back in5th so I’m sure it’s A.
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3 years ago
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What does a large MAD tell you about the mean?
schepotkina [342]
Answer: A large Mean Absolute Deviation (MAD) tells you the values are spread out far from the mean.

In a set of data, we can add up all the values and divide by the total number of values. This will give you the mean. It tells you what the "center" of the data set is.

Now, you can take the difference of each individual value from the mean. If you take the absolute value of that number and find the mean, you will have the M.A.D. of the set of number.

The larger the MAD, the further away the values are from the mean.
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