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2 years ago

3) Two cars leave Cincinnati at the same time. Car A moves East at a constant speed of 60 miles per hour, while car B

Mathematics

1 answer:

Inessa [10]2 years ago

4 0

Answer:

D). 262.5 miles.

Step-by-step explanation:

The speed at which they are drawing apart = 60 + 45 = 105 mph.

So in 2.5 hours they wiil be

2.5 * 105

= 210 + 52.5

= 262.5 miles.

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What are Numbers? Why do we need them?

il63 [147K]

A number is a mathematical object used to count, measure, and label

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3 years ago

Find the cosine of ∠T.

Ostrovityanka [42]

ANSWER: ∠T = 32.4°

Remember the formula for the basic trig functions: SOH CAH TOA

Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem $a^2+b^2=c^2$ with a and b being the side lengths and c being the hypotenuse.

Using the theorem, we get c=37

Now use the cosine formula to get <T = 12/37 to get the final answer.

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3 years ago

? Liter equivalent to 0,000 000 000 013 cubic kilometers

Amiraneli [1.4K]

Question:

? Liter equivalent to 0.000 000 000 013 cubic kilometers

How do we do it?´

Answer:

13 liter is equivalent to 0.000 000 000 013 cubic kilometers

Solution:

Given that,

? Liter equivalent to 0.000 000 000 013 cubic kilometers

So we have to convert cubic kilometer to liter

Use the following conversion factor

$1\ km^3 = 1000000000000\ liter$

Therefore,

$0.000 000 000 013\ km^3 = 0.000 000 000 013 \times 1000000000000\ liter\\\\0.000 000 000 013\ km^3 = 13\ liter$

Thus, 13 liter is equivalent to 0.000 000 000 013 cubic kilometers

7 0

3 years ago

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

Elden [556K]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

Step-by-step explanation:

a) In order to get an even number, you have the 3 different scenarios:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

Order doesn't matter

Add them up to get your answer: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

$\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}$

3 0

3 years ago

What's the answer ? To this question

Airida [17]

You could use the equation y=mx+b

Find the slope of the two coordinates. I would personally suggest using stack and subtract:

(0,2) 2-5 -3 3
(2,5) -------= ------= -----
0-2 -2 2

We have the slope but we need to find the y-intercept.

y=3
--x+b
2

Plug one of the coordinates in the constructed equation above:

2=3
-- (0)+b
2

2=0+b
-0=-0
------------
b=2

We found the slope and y-intercept. Now we have our complete equation. The equation is:

y=3
--x+2
2

Have a blessed day!

7 0

3 years ago