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3 years ago

Two squares are similar. The

Mathematics

1 answer:

Pepsi [2]3 years ago

6 0

Answer:

The perimeter of the second square is 36 inches

Step-by-step explanation:

Given

Represent the sides of the squares with S1 and S2.

So:

$S_1:S_2 = 1 : 3$ --- Scale factor

$P_1 =12$ --- perimeter of the first

Required

Calculate P2, the perimeter of the second

Represent the ratios of the perimeter:

$Scale = P_1 : P_2$

Substitute 12 for P1

$Scale = 12 : P_2$

Equate both scale factors

$12 : P_2 = 1:3$

Convert to fraction

$\frac{12}{P_2} = \frac{1}{3}$

Cross multiply

$P_2 = 12 * 3$

$P_2 = 36$

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insens350 [35]

SU would be the hypotenuse so you can use Pythagorean Theorem to solve this problem.
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7 0

3 years ago

Read 2 more answers

If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?

OleMash [197]

Answer:

25%

Step-by-step explanation:

George is 33 $\frac{1}{3}$ % ( $\frac{100}{3}$ %) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% + $\frac{100}{3}$ %

= $\frac{400}{3}$ %

= 133 $\frac{1}{3}$ %

Pete's percent poorer than George can be determined by;

= $(\frac{100}{3})$ ÷ $(\frac{400}{3} )$ × 100

= $(\frac{100}{3})$ × $\frac{3}{400}$ ×100

= 0.25 × 100

= 25%

Pete is 25% poorer than George.

3 0

3 years ago

I need to know everything. Sorry, I'm dumb, lol.

pishuonlain [190]

Answer:

it's ok bro :>

Step-by-step explanation:

u not dumb!☆W☆

6 0

3 years ago

Read 2 more answers

A BASKETBALL PLAYER MAKES A BASKET THROUGH A TEN FOOT HIGH BASKET FROM 20 FEET AWAY. IF THE SHOOTER RELEASES THE BALL FROM 8 FEE

mixas84 [53]

Answer:

The vertical velocity of the ball when released = 10.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

Step-by-step explanation:

The given parameters are;

The height of the basket = 10 feet

The horizontal location of the shooter from the basket = 20 feet

The height from which the shooter releases the ball = 8 feet

The horizontal velocity of the ball = 10 ft/s

Therefore, we have;

Time, t = Horizontal distance/(Horizontal velocity)

t = 20/10 = 2 seconds

The vertical velocity is given as follows;

s = u·t - 1/2·g·t²

Where;

u = The vertical velocity

s = The height above the initial height from which the ball is released

s = y - y₀

Where;

y = The final height of the ball in the calculation = The height of the basket = 10 foot

y₀ = The initial height from which the ball is released = 8 feet

∴ s = 10 - 8 = 2 feet

g = The acceleration due to gravity = 9.81 m/s²

Substituting gives;

2 = u × 2 - 1/2 × 9.81× 2²

u = (2 + 1/2 × 9.81× 2²)/2 = 10.81 m/s

The vertical velocity of the ball when released = 10.81 m/s.

The vertical velocity of the ball in the basket is given by the following relation;

v² = u² - 2·g·s

v² = 10.81² - 2×9.81×2 = 77.6161

v = √(77.6161) = 8.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

7 0

3 years ago

A coat in London costs £60. The same coat in Dublin costs €105.60. The exchange rate is £1 = €1.65. In which city is the coat ch

Pie

Answer:

The coat is cheaper in London and it is 6.6 euros cheaper than in Dublin

Step-by-step explanation:

Given

Cost of coat in London = £60

Cost of coat in Dublin = €105.60

In order to find where the coat is cheaper, the price should be in same unit

It is also given that

£1 = €1.65

so,

Price of coat in Euro will be:

$P = 60 * 1.65 = 99$

So the price of coat in London is 99 Euros

Comparing both the prices we see that

Price in London < Price in Dublin

99 < 105.60

The difference in price is:

$=105.60-99= 6.6\ Euros$

Hence,

The coat is cheaper in London and it is 6.6 euros cheaper than in Dublin

6 0

3 years ago