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4 years ago

According to this diagram what is tan 62

Mathematics

1 answer:

kicyunya [14]4 years ago

4 0

The figure is not attached. So, I have attached it from the link- brainly.com/question/4198293

Answer:

$\tan(62)=1.875$

Step-by-step explanation:

Label the triangle ABC as shown below.

Given:

AB = 8, BC = 15, AC = 17, m∠ABC = 90°, m∠ACB = 28°, m∠BAC = 62°

The tangent of a given angle is given as the ratio of the opposite side and the adjacent side. The opposite side is the side opposite to the angle. The adjacent side is the other leg of the right angled triangle.

Here, the opposite side to angle A is BC and adjacent side is AB.

Therefore, the tan ratio of angle A is given as:

$\tan A=\frac{BC}{AB}\\\tan (62)=\frac{15}{8}=1.875$

Hence, tan 62 = 1.875.

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3 years ago

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Solve for x: -5|x+1|=10

MrMuchimi

-5|x + 1| = 10
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3 years ago

Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took

jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b = -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0

3 years ago

How do you simplify this

Dafna11 [192]

Top:

x / (x + 1) - 1 / x

= [x^2 - (x +1)] / x(x+1)

= (x^2 - x - 1 ) / x (x+1)

Bottom:

x / (x + 1) + 1 / x

= [x^2 + (x +1)] / x(x+1)

= (x^2 + x + 1 ) / x (x+1)

Now you have:

(x^2 - x - 1 ) / x (x+1)

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(x^2 + x + 1 ) / x (x+1)

= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )

= (x^2 - x - 1 ) /(x^2 + x + 1 )

Answer:

x^2 - x - 1

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x^2 + x + 1

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3 years ago

2. How many square yards of carpet will be needed for a 21 ft by 15 ft room?

ipn [44]

Answer:

The answer to your question is: 35 yd²

Step-by-step explanation:

To solve this problem, just find the data, the formula, substitute the values in the formula and find the result.

Data

Square yards = ?

Length = 21 ft

Width = 15 ft

Formula

Area of a rectangle = length x width

Substitution

Area of a rectangle = 21 ft x 15 ft

Area of a rectangle = 315 ft²

Area of a rectangle = square yards of carpet

Finally, convert ft² to yd²

315 ft² = 35 yd²

Result

Square yards of carpet = 35 yt²

7 0

3 years ago