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3 years ago

Find the measure of the reference angle for an angle of 152º.

Mathematics

1 answer:

AlladinOne [14]3 years ago

7 0

Answer:

28 deg

Step-by-step explanation:

Reference angle is the smallest angle formed by the terminal ray, x-axis, and origin. So at 180 you are on the x-axis so just for this question you have to do 180-152=28.

The reference angle should be a positive between 0 and 90 degrees.

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What is the gradient?

notsponge [240]

Answer:

Gradient = 2

Step-by-step explanation:

Gradient of a line = Slope of the line

Since, slope of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Given line in the graph passes through two points (1, 0) and (2, 2)

Therefore, slope or gradient of the line = $\frac{2-0}{2-1}$

= 2

Gradient = 2 will be the answer.

7 0

3 years ago

What is the answer plz I really need help

Liono4ka [1.6K]

6) slope is 1, y-intercept is 3, equation in slope-intercept form:

$y=x+3$

7) Slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x y

-2 1

-1 2

0 3

1 4

2 5

Identify the slope:

Using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values:

$Slope=\frac{2-1}{-1-(-2)}$

$Slope=\frac{1}{-1+2}$

$Slope=\frac{1}{1}$

$Slope=1$

So, slope is 1

Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

$y=mx+b\\y=1x+3\\or\,\,y=x+3$

So, equation in slope-intercept form:

$y=x+3$

7) Find the slope of the line that goes through the points (3,9) and (-5,3)

Using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values:

$Slope=\frac{3-9}{-5-(3)}$

$Slope=\frac{-6}{-5-3}$

$Slope=\frac{-6}{-8}$

$Slope=\frac{3}{4}$

So, slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) What is the slope and y-intercept of the following equation:

$y=\frac{2}{3}x-4$

The equation is in slope-intercept form

The general equation of slope-intercept form is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing both equations we get:

Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

5 0

3 years ago

The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture,

lora16 [44]

Answer:

photograph = 55.7mil

painting = 106.2

sculpture = 144.8

Step-by-step explanation:

let the price of the photograph be x

price of painting = x+50.5

price of sculpture = x+x+50.5-17.1 =2x+33.4

2x+33.4+x+50.5+x=306.7

4x=222.8

x=55.7

price of painting = 55.7+50.5 = 106.2

price of sculpture = 2(55.7)+33.4=144.8

5 0

3 years ago

Read 2 more answers

Plez help I need this for homework now

katrin2010 [14]

Firstly, put Derek and Paul's collection together:
1950, 1952, 1908, 1902, 1955, 1954, 1901, 1910, 1929, 1935, 1928, 1930, 1925, 1932, 1933, 1920

1950+1952+1908+1902+1955+1954+ 1901+1910+1929+1935+1928+1930+ 1925+ 1932+1933+1920
=30864
=30864÷16
=1929
∴the mean is 1929.

Median:
1901, 1902, 1908, 1910, 1920, 1925, 1928, 1929, 1930, 1932, 1933, 1935,
1950, 1952, 1954, 1955
1930÷1929
=1.0005184
= Median

Range:
1955-1901
=54
∴the range is 54.

7 0

3 years ago

Read 2 more answers

The equation of a circle is (x-2) squared + (y-6) squared =64. What is the center and radius of the circle.

evablogger [386]

Answer:

The center (2,6) and the radius is 8

Step-by-step explanation:

The equation of a circle is (x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center of the circle and r is the radius

We have

(x-2)^2 + (y-6)^2 =64

(x-2)^2 + (y-6)^2 =8^2

The center (2,6) and the radius is 8

6 0

3 years ago