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3 years ago

Z/-2.5-011.5=-1.34 what is z

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

Answer:

z=-25.4

Step-by-step explanation:

Add 11.5 to both sides of the equation, then simplify. Multiply all terms by the same value to eliminate fraction denominators

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a 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill how far up the hill will it be when it stops

AURORKA [14]

Answer:

The ball will roll upto 1 m.

Step-by-step explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

$P.E=m\cdot g\cdot h$

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

$\Rightarrow 10=1\times 10\times h$

$\Rightarrow 10=10 h$

$\Rightarrow h=1\ m$

7 0

3 years ago

In a election about 500,000 people voted in all what could be the exact number of people who voted in the election

mariarad [96]

The best estimate would be around 350,000 to 450,000

3 0

3 years ago

Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what

hram777 [196]

48 square inches per inch is the average rate of change in surface area.

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Learn more about area

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6 0

1 year ago

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,

shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 + (Perpendicular)^2

=> (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

3 0

3 years ago

PLEASE ANSWER THIS, ASAP. PLEASE, LOOK AT THE PICTURE, AND PLEASE SOLVE IT RIGHT. PLEASE.

kupik [55]

Answer:

$x=11$

Step-by-step explanation:

Angle EFB = 180 - 147 = 33 (Angles on a straight line add up to 180 degrees)

Angle FEB = 180 - 4x (Angles on a straight line add up to 180 degrees)

Since the angles in a triangle add up to 180 degrees ,

$33+(180-4x)+x=180$

Remove brackets:

$33+180-4x+x=180$

Add/Subtract:

$213-3x=180$

Subtract 213 from both sides:

$213-3x-213=180-213$

$-3x=-33$

Divide both sides by -3:

$\frac{-3x}{-3}=\frac{-33}{-3}$

$x=11$

7 0

3 years ago