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2 years ago

A car company sells a scale model to of the size of one of its cars.

Mathematics

1 answer:

mixer [17]2 years ago

7 0

Answer:

$w = 13500$ --- real windscreen

$v = 408$ --- scale volume

Step-by-step explanation:

Given

$k = \frac{1}{10}$ --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

$w = \frac{w_{scale}}{k^2}$

This gives:

$w = \frac{135}{(1/10)^2}$

$w = \frac{135}{1/100}$

$w = 13500$

Next, the volume (v) of the scale mode

We make use of the following computation

$v = v_{real} * k^3$

So, we have:

$v = 408000 * (1/10)^3$

$v = 408000 * 1/1000$

$v = 408$

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kolezko [41]

Answer:

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

Step-by-step explanation:

The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location.

The inequality expression is given as:

$|T-43|\leq 22$

now this expression could also be expressed as:

$-22\leq T-43\leq22\\\\-22+43 \leq T \leq 22+43\\\\21\leq T\leq 65$

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

( As the difference is 22 degrees to the left and right)

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2 years ago

The sum of 3 fifteens and 4 twos

Serga [27]

Keywords:

<em>Result, sum, number </em>

For this case we must give the result obtained by adding three times the number 15 with four times the number 2. For this we have, be "x" the result obtained when making the addition:

$x = 3 * 15 + 4 * 2$

What is equivalent to:

$x = 15 + 15 + 15 + 2 + 2 + 2 + 2\\x = 45 + 8\\x = 53$

Thus, the sum of three times 15 and four times 2 is 53.

Answer:

The sum of three times 15 and four times 2 is: 53.

4 0

2 years ago

Read 2 more answers

An empty box weighs 200g the box is filled with birthday party goozy bags and now weighs 6.2kg Each goody bag weighs 150Work out

otez555 [7]

For this case, the first thing we are going to do is define variables.
We have then:
x: number of birthday party goozy bags
y: total weight
We then have the following equation:
y = 150x + 200
For y = 6200 we have:
6200 = 150x + 200
Clearing x:
x = (6200-200) / (150)
x = 40
Answer:
there are 40 goody bags inside the box

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2 years ago

From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.

Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is $d_1$ and it is given by

$tan (61^o)= \dfrac{50}{d_1}$

$d_1=\dfrac{50}{tan (61^o)}$

$\boxed{d_1= 27.71m}$

And the distance to the ship B is $d_2$ and is given by

$tan (28^o)= \dfrac{50}{d_2}$

$d_2=\dfrac{50}{tan (28^o)}$

$\boxed{ d_2=94.04m}$

Therefore, the distance $d$ between the ships A and B is

$d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}$

In other words, the ships are 66 meters apart.

8 0

2 years ago

Read 2 more answers

The employees were looking at their debts. Gomez is in $143.00 of debt; Cole has $203.00 of debt. Ford has $178.00 of debt. Simp

beks73 [17]

Answer:

Step-by-step explanation:

To owe money means you don't have any and borrowed some, or in other words are in debt. Only three of them are in debt, so Simpson doesn't owe anything.

For who owes more, let's start simple. If someone brrowed a dollar from a friend, they are in debt for a dollar. if they borrowed two dollars they suddenly owe more, two dollars instead of one. So Whatever amount of debt is higher tells the highest amoutn owed. Now, what is the highest amount any of the three remaining owe? well, 143 < 178 < 203, so 203 is the highest so Cole owes the most.

5 0

2 years ago