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ludmilkaskok [199]
4 years ago
9

Analyze the diagram below and complete the instructions that follow?

Mathematics
1 answer:
yan [13]4 years ago
6 0

Answer:

The exact value of tan(M) is 5/12 ⇒ answer (C)

Step-by-step explanation:

* Lets revise the trigonometry functions

- In ΔABC

# m∠B = 90°

# Length of AB = a , length of BC = b and length of AC = c

# The trigonometry functions of angle C are

- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse

- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse

- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C

* Now lets solve the problem

- In ΔONM

∵ m∠N = 90°

∵ MN = 12

∵ ON = 5

∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)

∴ tan(M) = 5/12

* The exact value of tan(M) is 5/12

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1/5 of what equals 4?
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What is 125x9 64y12 written as a sum of cubes? (25x3)3 (4y4)3 (5x3)3 (16y4)3 (25x3)3 (8y4)3 (5x3)3 (4y4)3.
babunello [35]

The factorization of \rm 125x^9+64  is \rm (5x^3+4)(25x^6-20x^3+16)  .

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; \rm 125x^9+64

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\rm 125x^9+64\\\\125x^9+100x^6+80x^3-100x^6-80x^3+56\\\\5x^3(25x^6-20x^3+16)+4(25x^6-20x^3+16)\\\\(5x^3+4)(25x^6-20x^3+16)

Hence, the factorization of \rm 125x^9+64 is  \rm (5x^3+4)(25x^6-20x^3+16) .

To know more about factorization click the link given below.

brainly.com/question/17595467

3 0
3 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
storchak [24]

Answer:

Each Person:

-In tips: $2

-Food Bill: $7.50

Step-by-step explanation:

Let's find the tip amount for each person. $16 for the whole group. Each person will give in $2 for the tips, for a total of $16 in tips.

Now that tips are done, we must subtract the amount of tips from the food bill, to see how much each person pays. $76 - $16 = $60.

Divide 60 by 8 to get.. 60/8= 7.5.

With 7.5 as an answer, we can conclude that each person paid $7.50 for the food bill.

I see you need to select solutions, may I see them to help you out? The description is pretty vague..

5 0
2 years ago
A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?
ANEK [815]

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \:  \frac{ - 3}{4}  \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \:  \:  \: y1 =  - 6 \:  \: and \: m =  \frac{ - 3}{4}  \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) =  \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4)  \\ 4(y + 6) =  - 3(x - 4) \\ 4y + 24 =  - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS</em><em> </em><em>FOR GIVING ME THE OPPORTUNITY TO</em><em> </em><em>ANSWER YOUR QUESTION</em><em>. </em>

8 0
3 years ago
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