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Sever21 [200]
3 years ago
5

What is that answer to this question?

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer: cos(F)=\frac{5}{13}

Step-by-step explanation:

The trigonometric identity needed to answer this question is:

cos\alpha=\frac{adjacent}{hypotenuse}

Therefore:

Indentify the angle, the opposite side and the adjacent side of the right triangle from the figure:

adjacent=5\\hypotenuse=13\\\alpha=F

Substitute them intocos\alpha=\frac{adjacent}{hypotenuse}, then we get:

cos(F)=\frac{5}{13}

Hoochie [10]3 years ago
6 0

Answer:

5/13

Step-by-step explanation:

Cosine ratio for an angle is defined as the ratio of Adjacent side to Hypotenuse.

We have to find the cosine ratio for angle F. The side adjacent to angle F is side GF and the hypotenuse of the triangle is side FH. The side opposite to the right angle is always the hypotenuse.

So, we can write:

\textrm{Cosine Ratio}=\frac{Adjacent}{Hypotenuse}\\\\ \textrm{Cosine Ratio of F}=\frac{FG}{FH} \\\\ \textrm{Cosine Ratio of F}=\frac{5}{13}

Therefore, the cosine ratio of angle F is 5/13

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Item 12 You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing
nataly862011 [7]

Answer:

$28

Step-by-step explanation:

Given that:

Value of Winning bid = $52

Winning bid 65% of the maximum bid.

To find:

How much more is the maximum bid from the winning bid ?

Solution:

We are given that the winning bid is 65% of the maximum bid.

Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.

Let the value of maximum bid = $x

As per question statement:

65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80

Therefore, maximum bid = $80

Our answer is:

$80 - $52 = <em>$28</em>

5 0
3 years ago
Solve by completing the square<br><br> x^2-6x-16=0
Greeley [361]

Answer:

x = 8 or

x = -2

Step-by-step explanation:

<h2><em>Completing The Square</em><em>:</em></h2>

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

<em><u>x = 8 or x = -2</u></em>

Hope it's helpful

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