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defon
3 years ago
7

Need help finding the length of Ac

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

We need to know angle C which is (180 -123 -34) = 23°

We'll use the Law of Sines

Sine (A) / side a = Sine (B) / side b

Sine (34) / 10 = Sine (123) / side b

0.55919 / 10 = 0.83867 / side b

10 * .83867 / .55919 = side b

side b (or line AC) = 14.998

Step-by-step explanation:

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If we were to view the ramp from its side, the profile would resemble a right triangle with a 90 degree angle where the sofa meets the floor.

In this case, the two legs of the right triangle are 55 inches and 28 inches, and we looking for the length of the hypotenuse.

We can use Pythagorean Theorem which states:

a^2 + b^2 = c^2

 where a and b are the legs, and c is the hypotenuse.

55^2 + 28^2 = c^2

3025 + 784 = c^2

c^2 = 3809

c =  \sqrt{3809}

c = 61.717 inches

To the nearest tenth, the answer is 61.7 inches.
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3 years ago
1<br> COUBT THX<br> 1) Pants regular price $45.69<br> On sale for 25% off.<br> What is the discount?
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3 years ago
The table provides information on road accidents reported to the police for the days in December.
Galina-37 [17]

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3 0
3 years ago
Read 2 more answers
NEED HELP ASAP PLEASE HELP
morpeh [17]
From point A to C, which is the length of the entire line, it's 3x + 1.
AB = 2x + 4
BC = 10

This means that AB + BC = AC

All you have to do is plug in the equations.

(2x + 4) + (10) = (3x + 1)
2x + 14 = 3x + 1
2x + 13 = 3x
13 = x

Now plug in the value of x (13) into the AC equation (3x + 1).
AC = 3(13) + 1
AC = 39 + 1
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The answer is:
a. 40
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3 years ago
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A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the
alekssr [168]

Answer: 17.14 ft

<u>Step-by-step explanation:</u>

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

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The area of the sidewalk is:

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area of sidewalk = area of flower bed

280w = 4800

\text{w}=\dfrac{4800}{280}

  =\dfrac{120}{7}

  ≈ 17.14


8 0
3 years ago
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