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Mumz [18]
3 years ago
7

Find the gradient of the line segment between the points (-3,3) and (4,4).<br />

Mathematics
1 answer:
denpristay [2]3 years ago
4 0

9514 1404 393

Answer:

  1/7

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (4 -3)/(4 -(-3)) = 1/7

The gradient of the line segment is 1/7.

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What is the volume of the sphere? Round your answer to two decimal places.
nekit [7.7K]

Answer:

V = 4/3 π r 3

Step-by-step explanation:

Hope this helps!!

5 0
3 years ago
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan
vitfil [10]

Answer:

a = 6m/s^2

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

a\ \alpha\ \frac{1}{m}

Convert variation to equality

a = \frac{F}{m}; Where F is the constant of variation (Force)

Make F the subject of formula;

F = ma

When mass = 4kg; Acceleration = 15m/s²

F = 4 * 15

F = 60N

When mass = 10kg; Substitute 60 for Force

F = ma

60 = 10 * a

60 = 10a

Divide both sides by 10

\frac{60}{10} = \frac{10a}{10}

a = 6m/s^2

<em>Hence, the acceleration is </em>a = 6m/s^2<em />

4 0
3 years ago
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
lys-0071 [83]

Answer:

C. Never

Step-by-step explanation:

The legs of a right triangle are never longer than the hypotenuse. Otherwise, the legs would never connect to the hypotenuse.

3 0
3 years ago
Read 2 more answers
What is the simplest form of i^15
Korolek [52]

Answer: -iSimplify the expression using the definition of an imaginary number  

i = √ − 1 . − i

Step-by-step explanation: Simplify the expression using the definition of an imaginary number i = √ − 1 . − i

4 0
3 years ago
Use 3.14 for π<br> Please help if you can!<br> Any help is appreciated!
Alex777 [14]

Answer:

The answer to your question is 23.42 ft

Step-by-step explanation:

Data

base = 6 ft

height = 4 ft

Process

1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.

Length = 6 + 4 + 4

Length = 14 ft

2.- Calculate the Perimeter of the semicircle

Formula

Perimeter = 2πr/2 = πr

-Calculate the radius

radius = 6/2 = 3 ft

-Find the perimeter

Perimeter = 2(3.14)(3)/2

-Result

Perimeter = 9.42 ft

3.- Calculate the perimeter of the window

Perimeter = 14 + 9.42

                 = 23.42 ft

3 0
3 years ago
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