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stiks02 [169]
3 years ago
5

Use the distance formula, to calculate the ratio of a side length on DEF to the corresponding side length on ABC . Show your wor

k. Then confirm your calculations using GeoGebra tools.

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Step-by-step explanation:

this is the exact answer!!

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It costs 4 tokens to park in a garage for an hour. how many hours can you park with 30 tokens?
babunello [35]

Read the question carefully: it costs 4 tokens to park in a garage for an hour.

We will apply the unitary method to solve this question

It costs 4 tokens to park in a garage for 1 hour

Find how many hours can park in a garage for 1 token

If it costs 4 token to park in a garage for 1 hour

Then it will cost 1 token to park in a garage for 1/4 hour

Step2:

With 20 token we can park in a garage for (1/4) * 20

= 5 hours

So, we can park for 5 hours with 20 tokens.

Another method

If we take twenty tokens and divide them into groups of four, we will find that we are left with five groups of tokens. Each group of tokens represents an hour of parking time. This will give us five groups, or five hours, total.

So, we can park for 5 hours with 20 tokens
5 0
3 years ago
Read 2 more answers
A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot
ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box  is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = (x\times x)

                               =x^2

The volume of the box  is = area of the base × height

                                           =x^2h

Therefore,

x^2h=272

\Rightarrow h=\frac{272}{x^2}

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

=20x^2 cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

=10x^2 cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

=4xh\times 1.5 cents

=6xh cents

Total cost = (20x^2+10x^2+6xh)

                =30x^2+6xh

Let

C=30x^2+6xh

Putting the value of h

C=30x^2+6x\times \frac{272}{x^2}

\Rightarrow C=30x^2+\frac{1632}{x}

Differentiating with respect to x

C'=60x-\frac{1632}{x^2}

Again differentiating with respect to x

C''=60+\frac{3264}{x^3}

Now set C'=0

60x-\frac{1632}{x^2}=0

\Rightarrow 60x=\frac{1632}{x^2}

\Rightarrow x^3=\frac{1632}{60}

\Rightarrow x\approx 3

Now C''|_{x=3}=60+\frac{3264}{3^3}>0

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is =\frac{272}{3^2}

                                          =30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0
3 years ago
Please I will rate you with 5 stars just please help me with this problem
olchik [2.2K]

Answer:

D

Step-by-step explanation:

If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.

16\geq 3x+4>1\\12\geq 3x>-3\\4\geq x>-1

x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).

Signs with 'or equal to' have solid points, and signs without are not solid.

I hope this helps!

8 0
3 years ago
What are the solutions to the quadratic equation -2x^2 + 6x + 3 = 0?
mario62 [17]

For this, we will be using the quadratic formula, which is x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}, with a=x^2 coefficient, b=x coefficient, and c = constant. Our equation will look like this: x=\frac{-6+/-\sqrt{6^2-4*(-2)*3}}{2*(-2)}


Firstly, solve the multiplications and the exponents: x=\frac{-6+/-\sqrt{36+24}}{-4}


Next, do the addition: x=\frac{-6+/-\sqrt{60}}{-4}


Next, your equation will be split into two: x=\frac{-6+\sqrt{60}}{-4},\frac{-6-\sqrt{60}}{-4} . Solve them separately, and your answer will be x=-0.436,3.436

5 0
3 years ago
What is the answer to this​
Alborosie
The answer to the question is b

$9 each hour she works + 7.50 fee
$7.50+$9h= $34.50
7 0
3 years ago
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