Tom rolls 2 fair dice and adds the results from each.

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___

tatiyna

Answer:

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6

Step-by-step explanation:

Sorry but its very simple question you need to try to do it by yourself

3 0

3 years ago

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Mary spent a total of $322.78 for a party. She spent $200.66 on food, plus an additional $30.53 for each hour of the party. How

bulgar [2K]

Let h equal the length of the party in hours

200.66 + 30.53h = 322.78

now just solve for h :)
30.53h = 122.12
h = 4

so the party was 4 hours long

8 0

3 years ago

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A coin is being flipped 400 times. What is the probability of it landing on heads at most 170 times, rounded to the nearest tent

DanielleElmas [232]

Hello!

We have two probabilities we can use; we have 170/400, for our experiment, and 1/2, which is our theoretical probability.

To solve, we just multiply the two probabilities.

=0.2125≈21.3

Therefore, we have about a 21.3% chance of this event occurring.

I hope this helps!

Gratitude Attitude : THANKS!

8 0

2 years ago

The exact value of tan5pi/12 is

Tanya [424]

Answer:

Step-by-step explanation:

This is the sum identity for tangent(x + y), where x and y are angles measured in radians. The formula for tan(x + y) is $\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

The first order of business is to find which 2 angles, when expressed in terms of the denominator 12, add up to equal $\frac{5\pi}{12}$

We will use the first quadrant angles, and only the "important" ones:

$\frac{\pi}{4},\frac{\pi}{3},\frac{\pi}{6},\frac{\pi}{2},\pi$

When expressed in terms of the denominator of 12, these angles have the equivalent angles, in order from above:

$\frac{3\pi}{12},\frac{4\pi}{12},\frac{2\pi}{12},\frac{6\pi}{12},\frac{12\pi}{12}$

We need to find the 2 whose numerators add up to a 5. That would be:

$\frac{3\pi}{12} +\frac{2\pi}{12}=\frac{5\pi}{12}$

Remember that

$\frac{3\pi}{12}=\frac{\pi}{4}$ and $\frac{2\pi}{12}=\frac{\pi}{6}$ so

angle x is $\frac{\pi}{4}$ and angle y is $\frac{\pi}{6}$ , making our tangent sum:

$tan(\frac{\pi}{4}+\frac{\pi}{6})$

Filling that into our formula for the sum of tan(x + y):

$tan(\frac{\pi}{4}+\frac{\pi}{6})=\frac{tan(\frac{\pi}{4})+tan(\frac{\pi}{6}) }{1-tan(\frac{\pi}{4})tan(\frac{\pi}{6}) }$

It just so happens that

$tan(\frac{\pi}{4})=1$ and

$tan(\frac{\pi}{6})=\frac{\sqrt{3} }{3}$ so our formula then becomes

$tan(\frac{\pi}{4}+ \frac{\pi}{6})=\frac{1+\frac{\sqrt{3} }{3} }{1-(1)(\frac{\sqrt{3} }{3}) }$ which simplifies to

$\frac{\frac{3+\sqrt{3} }{3} }{\frac{3-\sqrt{3} }{3} }$ and then bring up the lower fraction and flip it to multiply giving you:

$tan(\frac{\pi}{4} +\frac{\pi}{6} )=\frac{3+\sqrt{3} }{3-\sqrt{3} }$

I have the feeling that you need to rationalize that denominator, and if you do that, the final answer will be:

$2+\sqrt{3}$

I know I kind of left you hanging at the very end with rationalizing, but there was so much already that went into this problem in such depth, that I didn't want to risk possibly confusing you even more than I may have already done so. Try and follow the best that you can.

3 0

3 years ago

Choices: A. 0.38 B. 0.64 C. 0.69 D. 2.00

mestny [16]

Answer I think it is a

Step-by-step explanation: A

5 0

2 years ago