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
disa [49]
3 years ago
15

On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

  2

Step-by-step explanation:

The distances have the ratio:

  (C -A) = (2/3)(B -A)

  C = (2/3)B +(1/3)A . . . . . add A

  C = (2B +A)/3 . . . . . . . . combine terms

  C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.

You might be interested in
Triangle A:B:C is 5:4:3​
Nitella [24]

Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

the angles are in a ratio of 3:4:5.

if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

3x + 4x + 5x = 180 degrees which means that 12x = 180.

divide both sides of this equation by 12 and you get x = 180 / 12 = 15 degrees.

this means that the 3x angles is equal to 45 degrees and the 4x angle is equal to 60 degrees and the 5x angle is equal to 75 degrees.

45 + 60 + 75 = 180 degrees so we're good there.

45 / 60 is equal to 3/4

60 / 75 is equal to 4/5

the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

7 0
3 years ago
What is the value of 12.5(- 2¾)
mote1985 [20]
The answer is -34.375
6 0
2 years ago
Read 2 more answers
Please help me :) please
dangina [55]

Answer:

In bold.

Step-by-step explanation:

6/6 = 9/a

So a = 9.

6/c = a/4.5

6/c = 9/4.5 = 2

So c = 3.

By similar triangles:

d/5 = 6/ (6+6+3)

d/5 = 6/15 = 2/5

So d = 2.

Also by similar triangles

b/5 = 12/15 = 4/5

So b = 4.

8 0
2 years ago
Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz
klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

A.

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

B.

Area of sprinkler, As = πD²/4

Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

C.

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0
3 years ago
Read 2 more answers
What are the solutions to the system <br> y=x^2-6x+7<br> y=-x+13
dolphi86 [110]
I've attached the graphs to this answer. I hope they help. 

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve with interval notation Solve: 5 | x − 2 | + 4 &gt; 8
    5·1 answer
  • Estimate how many times larger 10 x 109 is than 99 x 106.
    6·2 answers
  • Find the lateral area of this cone
    10·2 answers
  • Which is a pair of equal expressions?
    8·2 answers
  • TAKE OUT THE LCM OF<br>OR FACTORISATION OF <br><br>"350"​
    5·2 answers
  • Which expression is undefined? A. -8 divided by -8 B. -8 divided by 8 C. 0 divided by 8 D. 8 divided by 0
    11·1 answer
  • A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid pou
    10·1 answer
  • I have 1 hour to do this. please help me :). 20pts!!!
    14·1 answer
  • Lacey bought tickets to use for rides at the local carnival. Each ride requires the same number of tickets. The expression 60 mi
    8·1 answer
  • 6 = 2p + 8 please i will give brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!