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3 years ago

12

a model car has a scale of 3cm : 2m. The length of the actual hood of the car is 1 m. what is the length of the hood of the mode

l.

1 answer:

kherson [118]3 years ago

6 0

Set up a proportion:

3cm/2m = x/1m

Cross-multiply:

2x=3

Divide by 2:

x=1.5 cm

Hope this helps!

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What is the total price of a $45.79 item when 7% sales tax is added?

lesya692 [45]

You find 7% of $45.79 and then add that on to $45.79
7% of $45.79 = $3.21
45.79 + 3.21 = 49
The new price is $49

5 0

3 years ago

Read 2 more answers

a hose fills a hot tub at a rate of 4.97 gallons per minute. How many hours will it take to fill a 336-gallon hot tub?

Eddi Din [679]

Answer:

1.12675hours approximately

Step-by-step explanation:

If the tub was 4.97 gallons it would take 1 minute Right?

To find the the time required to fill the tub divide volume of tub by the rate of hose. We have 336/4.97=67.605minutes

Divide by 60` 67.605/60=1.12675hours approximately

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3 years ago

A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

vfiekz [6]

X = y - 3

x + 3y = 13

x + 3y = 13 (replace x with y-3)

y - 3 + 3y = 13

4y - 3 = 13

4y = 13 + 3

4y = 16

y = 16/4

y = 4

x = y - 3

x = 4 - 3

x = 1

The answer is A. (1,4)

5 0

4 years ago

The next model of a sports car will cost 3.8% less than the current model. The current model costs $48,000. How much will the pr

iragen [17]

⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒Answer:

3.8% is $1,824

Step-by-step explanation:

math

6 0

3 years ago