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Zigmanuir [339]
3 years ago
8

If f(1) = 10 and f(n) = f(n-1) + 3 then find the value of f(6).

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

7

Step-by-step explanation:

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3 parts: List the ratios for using angle A as the angle of reference reduce when necessary
dezoksy [38]

Answer:

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

Step-by-step explanation:

The <em>sine </em>of an angle in a right triangle is the ratio of the side <em>across</em> from the angle with the hypotenuse of the triangle (the <em>hypotenuse </em>is the side across from the right angle). In this case, the sine of angle A, shortened to \sin{A}, is 21/29.

<em>Cosine</em> is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So \cos{A}=\sin{C}=20/29. Notice that this ratio is the same as the ratio of the side <em>adjacent</em> to angle A (AB), to the hypotenuse.

The <em>tangent</em> is the ratio of the side opposite an angle to the side adjacent to it. Here, \tan{A}=21/20. So, our trig ratios for this angle are

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

7 0
3 years ago
2. Four less than six times a number is 32. Write and solve an equation.
zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

    <u>+4   + 4</u>

6x  =    36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6      6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0
2 years ago
It it a acute, obtuse, or Right someone plzzzz help me<br><br><br>​
Phantasy [73]

Answer:

Acute angle

Step-by-step explanation:

Obtuse are a bit slanted Right angles are Shaped like an L

5 0
3 years ago
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1/2 x 1/7? Pls help me!!!!
Dovator [93]

Answer:

0.07142857142

Step-by-step explanation:

7 0
3 years ago
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A postage stamp is shaped like a rectangle with a perimeter of 88 millimeters. The length (x) is 10 millimeters less than twice
Oxana [17]
The answer would be D. It says the length is 10 millimeters less than TWICE the width, so it would be 10 millimeters greater than the original width.
5 0
3 years ago
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