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3 years ago

Which lines have slope -4/5 and contain point (0,1)?

Mathematics

1 answer:

Oksanka [162]3 years ago

6 0

I believe it was BC, to find that answer, you simply find the point (0,1) where 0 is x and y is 1. There were two lines which made me not think twice but since it is negative, the lines should be going to the left side rather than the right. So the slope which is y over x of -4/5, to find that, you count up 4 and over 5

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Express 9.25. as a fraction in its simplest form

Olenka [21]

Answer:

9 1/4

Step-by-step explanation:

9.25-9=0.25

0.25 =1/4

9 1/4

7 0

2 years ago

If a boy has 4 pairs of shorts, 8 shirts, and 2 pairs of shoes, how many different outfits could he wear?

sveta [45]

Answer:

Step-by-step explanation:

I paired the first shirt with all of the pants and both shoes which was 8 outfits, but here are 8 other shirts which will also make 8 outfits.

4 0

3 years ago

The diagram shows a sector of a circle radius 10 cm. the angle is 135 degrees

Black_prince [1.1K]

Answer:

The perimeter is 43.6 cm

Step-by-step explanation:

In this question, we are tasked with calculating the perimeter of the sector.

Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.

Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius

Let’s calculate the length of the arc.

Mathematically, this is theta/360 * 2 * pi * r

where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm

Thus, we have

135/360 * 2 * 22/7 * 10 = 23.57 cm

Adding two radii to this, we have;

23.57 + 2(10)

= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place

5 0

3 years ago

SOLVED

Nastasia [14]

5)
a. The equation that describes the forces which act in the x-direction:
 Fx = 200 * cos 30 

b. The equation which describes the forces which act in the y-direction: 
 Fy = 200 * sin 30 

c. The x and y components of the force of tension: 
 Tx = Fx = 200 * cos 30 
 Ty = Fy = 200 * sin 30 

d.Since desk does not budge, frictional force = Fx
= 200 * cos 30 

 Normal force = 50 * g - Fy
= 50 g - 200 * sin 30
____________________________________________________________
6) Let F_net = 0
a. The equation that describes the forces which act in the x-direction:
(200N)cos(30) - F_s = 0

b. The equation that describes the forces which act in the y-direction:
F_N - (200N)sin(30) - mg = 0

c. The values of friction and normal forces will be:
Friction force= (200N)cos(30),

The Normal force is not 490N in either case...
Case 1 (pulling up)
F_N = mg - (200N)sin(30) = 50g - 100N = 390N

Case 2 (pushing down)
F_N = mg + (200N)sin(30) = 50g + 100N = 590N

4 0

3 years ago

In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are

kenny6666 [7]

Answer:

0.194

Step-by-step explanation:

Probability that BOTH are democrats means probability of "one being democrat" AND "another also being democrat".

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem

Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

$0.44*0.44=0.1936$

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0

2 years ago