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shutvik [7]
3 years ago
5

Find the value of x in the triangle shown below.

Mathematics
2 answers:
Ainat [17]3 years ago
7 0

Answer:

62

Step-by-step explanation:

Again, sorry for responding late.  I dont get notifications for comments.

Since this is an isosceles triangle.  So x, and the other angle are both base angles.  This means x and the other unnamed angle are the same, and 56 is the vertex angle.  Look at the attached photo.

Since all angles in a triangle add up to 180, we can solve for x.

2x + 56 = 180

x = 62

11Alexandr11 [23.1K]3 years ago
5 0

Answer:

60.77054139≈x. I don't know what decimal place you need to round it to though

Step-by-step explanation:

We can apply the Law of Sines to this situation.

The Law of Sine states that sinA/a=sinB/b=sinC/c

Thus, we can get the equation

sin(56)/5.7=sin(x)/6

Multiplying both sides by 6, we get

6sin(56)/5.7=sin(x)

Simplifying the left side, we get

0.872671129...=sin(x)

Lastly, multiplying the inverse of sine to both sides, we get

sin^-1(0.872671129...)=sin^-1*sin(x)

60.77054139≈x

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Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay
saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

<u>To find the 8% of 14,4000</u>

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

 = 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0
3 years ago
2(x-5)=4x+7<br> solve for x
OLEGan [10]

Answer:

x=-6

Step-by-step explanation:

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3 years ago
From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If
Evgesh-ka [11]

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Data;

  • Angle = 45 degree
  • Observation deck (adjacent) = 1145 ft
  • horizontal distance (opposite) = x

<h3>Trigonometric Ratios</h3>

Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance

tan\theta = \frac{opposite}{adjacent}

Substitute the values into the equation and solve

tan45 = \frac{x}{1145}\\ x = 1145tan45\\x = 1145ft

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

5 0
2 years ago
Help❗️Anybody know how to do this stuff?
Lunna [17]

I wish I did I would help u out but I hope u have luck

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3 years ago
Mia invests $5,000 in an index fund. After 1 year, the fund's share price has increased by 8%. How much did Mia gain?
trasher [3.6K]

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

5 0
2 years ago
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