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EleoNora [17]
3 years ago
11

Find the value of the trigonometric ratio. Simplify the ratio if possible.

Mathematics
1 answer:
sweet [91]3 years ago
3 0

Step-by-step explanation:

Given that,

BC = 8

Ac = 15

We can find AB using the pythagoas theorem.

AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17

We know that,

\cos\theta=\dfrac{B}{H}, B is base and H is Hypotenuse

\cosB=\dfrac{8}{17}

Hence, this is the required solution.

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Four classmates collect data by conducting a poll. They ask students chosen at random how many books they read over the summer.
Veseljchak [2.6K]

Answer:

Maybe D

Step-by-step explanation:

3 0
3 years ago
How do I write the sum of 6x and 2x is at least 39 ?
tatiyna
<h2>Put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .</h2>

Step-by-step explanation:

We have,,

6x and 2x

To find, the value of x = ?

According to question,

The sum of 6x and 2x is at least 39

∴ 6x + 2x = 39

⇒ 8x = 39

⇒  x = \dfrac{39}{8}

∴ The value of x = \dfrac{39}{8}

Thus, put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .

5 0
3 years ago
An unfair coin with​ Pr[H] = 0.75 is flipped. If the flip results in a​ head, a student is selected at random from a class of si
Agata [3.3K]

Answer:

72.73% probability of selecting a​ girl, given the flip resulted in​heads

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Coin resulted in heads

Student is selected at random from a class of six boys and sixteen girls.​

Desired outcomes:

16 girls, so D = 16

Total outcomes:

16+6 = 22, that is, 22 students, so T = 22

Probability:

P = \frac{16}{22} = 0.7273

72.73% probability of selecting a​ girl, given the flip resulted in​heads

7 0
3 years ago
You deposit $3000 in an account earning 4% interest compounded continuously. How much will you have in
V125BC [204]

Answer: $3,664.21

Formula: A=Pe^{rt}

  • P = principle/original amount = $3000
  • r = rate of interest = 4% = 0.04
  • t = time period (in years) = 5
  • A = the new amount
  • e = Euler's number ≈ 2.718...

Substitute in the values:

A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208

<u>Approximately $3,664.21</u>

<em>I think this is how you solve it o_O</em>

7 0
3 years ago
Estimate 206,834 194,268
Darina [25.2K]
I can help you round 206834 and 194268 to its nearest thousands place. 207000 would be the estimate for the first number and 194000 would be the estimate for the second number.
8 0
3 years ago
Read 2 more answers
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