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
mina [271]
3 years ago
5

Please help, I don't understand

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

  sin(θ) = (2/5)√6

Step-by-step explanation:

The sine and cosine are related by the formula ...

  \sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}

Filling in the given value for cos(θ), we find the sine to be ...

  \sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}

__

The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...

  sin(θ) = (2/5)√6

You might be interested in
Simplify the expression <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B4x%2B7%7D%7B2%7D%20-%5Cfrac%7B3x-2%7D%7B2%7D" id="TexFormul
ExtremeBDS [4]

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

8 0
3 years ago
A=bh2
Stolb23 [73]
Your answer would be <span>30 m²!

: D</span>
8 0
3 years ago
Read 2 more answers
Complete the solution of the equation. find the value of y when x equals -6. -4x + y = 29
Bingel [31]

Answer:

5

Step-by-step explanation:

x = -6

-4x + y = 29

substitute x = -6 in -4x + y =29

-4(-6) + y = 29

24 + y = 29

subtract 24 from both sides

24 - 24 + y = 29 - 24

y = 5

6 0
3 years ago
Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
SOVA2 [1]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

5 0
3 years ago
The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the
AnnZ [28]

Based on the information given, the speed is 20 miles per hour.

From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.

Note that 54 minutes = 0.9 hour.

The speed will be:

= (0.5 + 15 + 2.5) / 0.9

= 18/0.9

= 20 miles per hour.

Learn more about speed on:

brainly.com/question/4931057

3 0
2 years ago
Read 2 more answers
Other questions:
  • a leaky faucet is losing water and is filling a 5-gallon bucket every 20 hours. At that rate, how many gallons of water will the
    15·2 answers
  • Common factor of 10 and 20<br>​
    13·1 answer
  • Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,
    15·2 answers
  • Don Walsh and Jacques Piccard:
    9·1 answer
  • 1. Write the number in scientific notation.<br> 12325
    12·2 answers
  • Which expression is equivalent to the given expression?
    14·1 answer
  • What is the recursive rule for this geometric sequence? 27,  9,  3,  1,  ... Enter your answers in the boxes.
    13·2 answers
  • 1. A die is rolled once. What is the probability of rolling :
    6·1 answer
  • Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimension
    5·1 answer
  • Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!