Find the length of an arc with central angle of 40° and radius 1

Greatest common factor 84 and 100

harina [27]

Answer:

4

Step-by-step explanation:

100 = 2*2*5*5

84 = 2*2*3*4

the greatest common factor is a prime number whit most appearance in both numbers:

in this case the prime number is 2 and it is repeated twice in both numbers, hence 2*2 = 4

4 0

3 years ago

Read 2 more answers

Give the line that is parallel to the line y=-5x-2 and goes through (3,-9)

igor_vitrenko [27]

Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.

3 0

2 years ago

A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the c

chubhunter [2.5K]

Answer:

1249. 5 inches

Step-by-step explanation:

Pole length , Pl = 2 fts

Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft

Tower length, Tl = 125 ft

Tower shadow, Ts = x

Pl / Ps = Tl/ Ts

2/ 1.666 = 125 / x

Cross multiply

2x = 125 * 1.666

2x = 208.25

x = 104.125 ft

x = 104.125 * 12 = 1249. 5 inches

5 0

2 years ago

The table shows a linear function.

sergejj [24]

Answer:

$\large\boxed{y=\dfrac{5}{3}x+9}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

$m=\dfrac{-1-9}{-6-0}=\dfrac{-10}{-6}=\dfrac{5}{3}$

Finally:

$y=\dfrac{5}{3}x+9$

7 0

3 years ago

A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop

Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Now we just plug in the values of the starting point and final destination in order to find the slope of the line.

$Slope = \frac{(-10) - (0)}{(-2)-(0)}$

$Slope = \frac{-10}{-2}$

$Slope =5$

Finally we can see that the slope of the line is 5

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0

2 years ago