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
umka2103 [35]
2 years ago
13

Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

Mathematics
1 answer:
jolli1 [7]2 years ago
4 0
<span>Let’s say we have a starting point (0,0), the point (4,3) are distance apart at 90 degrees, hence the hypotenuse to those two distance will be 5. Therefore sin q = 4/5.</span>
You might be interested in
The length of a swimming pool is 8m longer than its width and the area is 1o5m2?
Nina [5.8K]
Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer
5 0
3 years ago
Read 2 more answers
If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?
kondaur [170]

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here, x_1=-8, y_1=-6, x_2=-4, y_2=-14

$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)

$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)

$P(x, y) =(-6, -10)

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Here, x_1=-6, y_1=-10, x_2=-8, y_2=-6

r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}

r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}

r=\sqrt{(-2)^{2}+(4)^{2}}

r=\sqrt{20} units

The standard form of the equation of a circle is

(x-a)^{2}+(y-b)^{2}=r^{2}, where (a, b) are center and r is the radius.

Here, center = (–6, –10) and r=\sqrt{20}

(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}

(x+6)^{2}+(y+10)^{2}=20

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

4 0
2 years ago
Use a graph to describe the domain and range of each of the functional sequence below
Y_Kistochka [10]

Answer:

ℝ

Step-by-step explanation:

All linear functions have a <em>range</em> and <em>domain</em> of <em>all real numbers</em>.

I am joyous to assist you anytime.

8 0
2 years ago
Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
Alecsey [184]

<u><em>Answer:</em></u>

y^2 = 28x

<em><u>Step-by-step explanation:</u></em>

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

<em>y^2 = 28x</em>

7 0
3 years ago
Read 2 more answers
-3 ¼ divided by -1/8
Marat540 [252]

Answer:

The answer is 26

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x. <br><br> -3x + 4 = -8
    11·2 answers
  • What’s the exponential form of 64
    9·1 answer
  • It is given thag 2(3+x) = 6+2x. this is an example of the ____ property.​
    15·1 answer
  • Simplify.<br> (2 - 61) - (-10 + 4i)
    7·1 answer
  • What is one way to evaluate information from the media?
    5·2 answers
  • Write the opposite of each integer.<br> 3. +8
    5·1 answer
  • What is the quotient of n and 8
    5·1 answer
  • The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken
    10·1 answer
  • One of the ancient stone pyramids in Egypt has a square base that measures 142 m on each side. The height is 93 m. What is the v
    9·1 answer
  • What are the zeros of the polynomial function f(x) = (x)(x - 6)(x + 4)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!