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3 years ago

Kiran shops for books during a 20% off sale. Write an equation that relates the sale price, s, to the original price p.

Mathematics

1 answer:

NemiM [27]3 years ago

4 0

Answer:

s=p*.2

Step-by-step explanation:

.2 is 20 percent in decimal form

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Given a dilation around the origin, what is the scale factor K? Do, K = (20,16) → (-5,-4)

Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.

Hence the scale factor is K = -1/4.

5 0

3 years ago

33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0 $ms^-2$ and g2 = 9.8 $ms^-2$

We get h1 = 3.67m which is the required height

6 0

4 years ago

A man traveled 1/3 of the distance between

VladimirAG [237]

Answer: 2 hours 15 minutes

Step-by-step explanation:

3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes

7 0

3 years ago

Read 2 more answers

A number is the 1/5 of another number. The sum of both is equal to 78. Which is the highest number out of both numbers?

Reika [66]

D.

1/5 of 65 is

65 × 1 / 5
65 / 5
= 13

65 and 13 add up to 78.

65 is the highest number out of both numbers.

♧

4 0

3 years ago

Input variable: Output variable:

vovangra [49]

Answer:

A variable is an input variable if its Input property is Yes. Its value can be input from an external source, such as an Architect call flow. A variable whose Output property is Yes is an output variable.Since both properties can be set to yes, a variable can be both an input variable and an output variable.

Step-by-step explanation:

4 0

3 years ago