1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Complete the proof.
trasher [3.6K]
You circle the points on both sides and then you calculate them and get what you need...
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=2%20-%206%20%5Cdiv%206" id="TexFormula1" title="2 - 6 \div 6" alt="2 - 6 \div 6" align="absmid
Karolina [17]

2 - 6 ÷ 6 (Order of Operations - PEMDAS)

= 2 - 1

= 1

Answer is 1

7 0
3 years ago
Drag the tiles to the boxes to form correct pairs. Find the probability for the given situations, and then match the situations
frozen [14]

Answer:

  • 3 (die)
  • 4 (slips)
  • 6 (spinner)
  • 5 (ace)

Step-by-step explanation:

Josie rolls a six-sided die 18 times. What is the estimated number of times she rolls a two? 3 = (1/6)(18)

Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with number 10 appear? 4 = (1/10)(40)

A spinner consists of 10 equal- sized spaces: 2 red, 3 black, and 5 white. If the spinner is spun 30 times, how many times should it land on a red space? 6 = (2/10)(30)

A card is picked from a standard deck of playing cards 65 times and replaced each time. About how many times would the card drawn be an ace? 5 = (4/52)(65)

_____

The probability of a given event is the number of ways it can occur divided by the number of possibilities. For example, a 2 is one of 6 numbers on a die, so we expect its probability of showing up to be 1/6. The expected number of times it will show up in 18 rolls of the die is (1/6)(18) = 3.

7 0
3 years ago
This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T
victus00 [196]

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)

Since 6 students like pepperoni out of 9:

P(A) = \frac{6}{9}

Since 4 students like olive out of 9:

P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

7 0
3 years ago
Write the equation of the line in point-slope form.
HACTEHA [7]
Y-4=2/-3(x-6) I believe that’s the answer hope this helped
4 0
3 years ago
Other questions:
  • The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals
    10·1 answer
  • Which statement is true about y = arctanx?
    15·1 answer
  • The national average utility cost is $270.48 per month. If the average phone bill is 12.6% of the total amount and the average u
    14·1 answer
  • PLEASE ASAP ANSWER: <br>8 + (7+1)^2 divided by 4 • (1/2)^4
    12·1 answer
  • If possible, find the solution of
    5·1 answer
  • Write each fraction as an expression using a negative exponent other than -1: 1/1024​
    14·1 answer
  • 20 POINTS ANSWER FAST!
    5·2 answers
  • Guys l forgot how to do this l knew how to buy can someone please remind me what to do asap pleasee
    9·1 answer
  • Uma peça teatral teve, ao todo, 860 expectadores. Desses expectadores, 90% pagaram
    14·2 answers
  • If &lt;2 and &lt;3 are supplementary angles, and measure of &lt;3 = 170°; find the measure of &lt;2.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!