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Taya2010 [7]
2 years ago
9

Use the cofunction identities to find an angle x that makes each statement true.

Mathematics
2 answers:
Solnce55 [7]2 years ago
8 0

Answer:

1)    x = 20

2)   x = 80/3

Step-by-step explanation:

1)    If sin A = Cos B, then A + B = 90

      3x - 15 + x + 25 = 90

       4x + 10 = 90

       4x = 80

         x = 20

2)   If cot A = tan B, then A + B = 90

       x - 10 + 2x + 20 = 90

       3x +10 = 90

       3x = 80

         x = 80/3

Gekata [30.6K]2 years ago
7 0

Answer:

x=20

Step-by-step explanation:

sin¢=cos90-¢

therefore; 3x-15+x+25=90

4x+10=90

4x=90-10=80

x=20

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Answer:ln is called the natural log, or log to the base e. ln can also be written as

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The property of logs is:

This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.

In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.

so, we can write

Thus, the correct answer is option D

Step-by-step explanation:

3 0
2 years ago
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a rectangle has a length of 15 inches less than 5 times it’s width. If the area of the rectangle is 2750 square inches. what is
irakobra [83]

let L = length and let W = width.

Use the equations 2L + 2W = 2750

and L = 5W + 15

Then do the steps as follows -

1. Plug the equation for what L equals into the first equation

2(5W+15) + 2W = 2750

2. Then distribute the 2

10W + 30 + 2W = 2750

3. Then add like terms

12W + 30 = 2750

4. Then subtract 30 from both sides

12W = 2720

5. Divide by 12 on both sides

W = 226.67

6. Then plug that into the second equation

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4 0
2 years ago
Given ab/bc = fe/ed find ac
zubka84 [21]
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Then you cancel out a on the left side of the equation by multiplying both sides by 1/a which then gives you c = f/ad.

Hope this helps!
6 0
2 years ago
<img src="https://tex.z-dn.net/?f=5%20%3C%203%20%2B%20w" id="TexFormula1" title="5 &lt; 3 + w" alt="5 &lt; 3 + w" align="absmidd
Natalija [7]
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3 0
3 years ago
A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ
wlad13 [49]

Answer:

The center of the circle is C(x,y) = (2, 3).

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y) (1)

Where:

C(x,y) - Center.

R_{1} (x,y), R_{2} (x,y) - Location of the endpoints.

If we know that R_{1} (x,y) = (-2,10) and R_{2} (x,y) = (6,-4), then the location of the center of the circle is:

C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)

C(x,y) = (-1, 5) + (3, -2)

C(x,y) = (2, 3)

The center of the circle is C(x,y) = (2, 3).

8 0
2 years ago
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