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FromTheMoon [43]
3 years ago
8

Derive a formula for the bullet speed v in terms of D, T, and a measured angle θ between the position of the hole in the first d

isk and that of the hole in the second. If required, use π, not its numeric equivalent. Both of the holes lie at the same radial distance from the shaft. θ measures the angular displacement between the two holes; for instance, θ=0 means that the holes are in a line and θ=π means that when one hole is up, the other is down. Assume that the bullet must travel through the set of disks within a single revolution.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

θ = 2π

Rotational period = T

so the angular velocity is:

w=2πT

v=Dt

D=vt

Step-by-step explanation:

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yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9

Therefore the exact interest on $5,870 at 12% is $410.9

7 0
3 years ago
Anthony's Nuffin Shop recently sold 4 blackberry muffins and 6 other muffins. Considering
Mazyrski [523]

Answer:

8

Step-by-step explanation:

In total, Antony sold 10 muffins. We can do a ratio like this:

\frac{4}{10} = \frac{x}{20}

Because there are 4 blackberry muffins. We solve.

Because 10 is directly half of 20, we can just multiply 4 by 2 because if you multiply 10 by 2, you'd get 20. 4 times 2 is 8. That's the answer.

7 0
3 years ago
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maw [93]

Answer:

11,200

Step-by-step explanation:

At first we use "BODMAS" rule.

Given,

(3.5×10^13)-(1.4×10^12)/3×10^9

So, we will break the brackets at first. With the help of excel, we can get the desired result. The following images will show you the step-by-step result.

Use "Number" instead of "general" in the excel sheet. You can use calculator too.

7 0
3 years ago
Given f(x)=10(3−x)+6, what is the value of f(−1)?
Ber [7]

Answer: 46

Step-by-step explanation:

10 (3 +1) + 6

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46

5 0
3 years ago
Vichy reads at a constant rate. She can read 5 pages
vagabundo [1.1K]

Answer:

p = (5t)/9

Step-by-step explanation:

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t mins ------------5/9 x t pages

Thus

p = (5t)/9

7 0
3 years ago
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