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ad-work [718]
3 years ago
10

Find the exact value of tan( cos^-1 ( -5/13))

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

-¹²/₅  

Step-by-step explanation:

Let cos a = -⁵/₁₃

Then tan a = sin a/cos a

= [√(1 - cos²a)]/cos a

= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)

= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅

= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅

= -¹²/₁₃ × ¹³/₅

= -¹²/₅

tan(arccos (-⁵/₁₃)) = -¹²/₅

The diagram shows the 2nd  quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.

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If the height of a triangle
Dvinal [7]

Answer:

75 cm

Step-by-step explanation:

To find the area of a traingle you use the following equation

b*h*.5

We know that the height of the triange is three times the base and that the area is 937.5

This means that

b*3b*.5=937.5

We can combine this and get 1.5b^2=937.5

We can then divide by 1.5 to get b by itself

b^2=625

Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)

So we know that b=25 and that h=3b which means that the height is 75 cm

5 0
3 years ago
Rearrange the equation so r is the independent variable.<br><br> 10q - 5r = 30
Murljashka [212]

Answer:

q = 3 + 1/2r

Step-by-step explanation:

10q - 5r = 30

We want to solve for q

Add 5r to each side

10q - 5r+5r = 30+5r

10q = 30+5r

Divide by 10

10q/10 = 30/10 +5r/10

q = 3 + 1/2r

3 0
4 years ago
Noah had 3 boxes of marbles. Each box has 34 marbles. Noah gave Michelle 9 marbles from each box. How many marbles does Noah hav
Thepotemich [5.8K]
Noah has 75 marbles. Noah has more marbles. this is because 34 times 3 is equal to 102. since michelle takes 9 marbles from EACH box, 9 times 3 is 27. 102 minus 27 is 75

3 0
3 years ago
60 feet of copper pipe at $1.25 per foot
kykrilka [37]

Answer:

if you bought 60 feet of copper pipe at $1.25 per foot, the total price would be $75

Step-by-step explanation:

since you are buying 60 feet of copper pipe, you would multiply the amount at which it costs per foot. 60×1.25=75

<em>hope this helps!</em>

4 0
3 years ago
a 14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?
Y_Kistochka [10]
In this case u need to divide 10 1/2 by 14 coz theres 14 ones in 14
so 10 1/2 divided by 14 = 0.75
<em>so theres 0.75 sugar in one ounce of drink ;)</em>
5 0
3 years ago
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