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
Schach [20]
3 years ago
8

The point (8, –15) is on the terminal side of an angle θ. What is sin θ ?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0
Let's calculate the hypotenuse of this right triangle:

(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.

a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823

b) If Ф is facing the smallest  side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
You might be interested in
About 5% of the population has a particular genetic mutation. 300 people are randomly selected.
xz_007 [3.2K]

The standard deviation for the number of people with the genetic mutation is 3.77

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Sample size, n = 300

Proportion that has the particular genetic mutation, p = 5%

The standard deviation for the number of people with the genetic mutation is calculated as:

Standard deviation = √np(1 - p)

Substitute the known values in the above equation

Standard deviation = √300 * 5% * (1 - 5%)

Evaluate the product

Standard deviation = √14.25

Evaluate the exponent

Standard deviation = 3.77

Hence, the standard deviation for the number of people with the genetic mutation is 3.77

Read more about standard deviation at

brainly.com/question/12402189

#SPJ1

7 0
1 year ago
I do not know what to put and this was due yesterday
atroni [7]

Answer:

Your answer will be x=2

Step-by-step explanation:

Five plus 6 times a number is equal to 21 minus 2 times the number

Your equation is this:

5+6x=21-2x

Subtract 6x from both sides

5+6x-6x=21-2x-6x

5=21-8x

subtract 21 on both sides

5-21=21-21-8x

-16=-8x    Divide -8 on both sides

2=x

Hope this helps :)

8 0
2 years ago
Can Somebody Help Me Please?
nikdorinn [45]

Answer:

28 (length' unit)²

Step-by-step explanation:

  • the area of all A rectangle is 4*8 =32
  • The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4
  • the area of this shape equal to

the area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²

4 0
2 years ago
How do you simplify expressions with rational exponents
Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}

Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

8 0
2 years ago
The point W(-1,6) translated 5 units left. What are the coordinates of the resulting point, W? PLS HELP ME!!
Vika [28.1K]
I think the answer is (-6,6)
7 0
2 years ago
Other questions:
  • Please help me Urgent!!!!!
    14·1 answer
  • Simplify 7a + 3b – 5a + 2b
    7·2 answers
  • How many 4 minutes and 30 seconds in 2 hours
    7·2 answers
  • THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
    13·1 answer
  • Rewrite the logarithm as an exponential equation: <br> In(X)= 7
    14·1 answer
  • a survey was given to people who owned a certain type of car. What percent of the people surveyed were completely satisfied with
    14·1 answer
  • When graphing inequalities, where can the solutions be found?
    5·2 answers
  • I give brainlilset nxgbkj,m.d/ed<br> q
    10·1 answer
  • It is a six-digit whole number.
    11·2 answers
  • Please help with this
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!