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Kamila [148]
3 years ago
5

Solving systems by substitution

Mathematics
1 answer:
romanna [79]3 years ago
7 0
Tank 1: v = 1540 - 6m

Tank 2: v = 236 + 6m

109 minutes, less than two hours, since two hours is 120 minutes (60 minutes in one hour, times 2)

Set them equal to each other to find out when they will have the same number of gallons: 1540 - 6m = 236 + 6m

1304 = 12m
108.667 rounded to the nearest minute is 109 minutes, which is the answer.
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Which of the following illustrates the truth value of the given statements? P: 3 is an odd number, and Q: 9 is an odd number (P
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TT - T, since both statements are true, the outcome is true.
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What is 9 over 10 as an decimal
iragen [17]

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Step-by-step explanation:

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Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
BigorU [14]

Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box =  = 372.

Hence, Dmitri requires 372 tiles to cover the box.

5 0
3 years ago
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yanalaym [24]

Answer:

A=\pi \frac{d^2}{4}

Step-by-step explanation:

The typical equation for the area of a circle is A=\pi r^2. Since the answer choices are in terms of <em>d</em>, the diameter of the circle, you will need to find <em>r</em> in terms of <em>d</em>.

To find <em>r</em> in terms of <em>d</em>, you know that the diameter of a circle is two times its radius. As an equation, this is

d=2r, or solving for <em>r</em>,

r = \frac{d}{2}.

Now that you have an equation for <em>r</em> in terms of <em>d, </em>you can substitute <em>r</em> with \frac{d}{2} from the original equation.

A=\pi r^2

A=\pi (\frac{d}{2})^2

A=\pi \frac{d^2}{4}

4 0
3 years ago
You are told that in a billiards shot, the cue ball was shot at the eight ball, which was 8 inches away. As a result, the eight
stiks02 [169]

Assumptions: Based on your question is seems like you are trying to find the distance the cue ball was initially at from the pocket from the minimum angle being 90 degrees.

Answer: In this case we can assume the minimum angle that the eight ball had after the collision was 90 degrees and therefore we can use Pythagoras Theorem (only can be used for right triangles). This gives us the length of both sides of that triangle we have constructed which are 8 in. and 6 in.. In the context of our drawing we want to find the hypotenuse of the triangle which would be the initial distance the eight ball was from the pocket (once again being at the most minimum possible angle). a^2=b^2+c^2 . a=sqrt(b^2+c^2) .

Plug in for b and c and you should get that it was greater than 10 in.

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