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3 years ago

Leah has meters of cloth, which she divides equally among her friends. Each friend gets meters of cloth.

Mathematics

1 answer:

Brrunno [24]3 years ago

5 0

Answer: 6

Step-by-step explanation:

Here's the complete question:

Leah has 8 4/7 meters of cloth, which she divides equally among her friends. Each friend 10/7 gets meters of cloth. She distributed the cloth to ---- friends.

Total length of the cloth = 8 4/7m

Number of friends = Unknown

Amount of length gotten by each friend= 10/7

The number of friends that she shred the cloth among will be:

= Total length of cloth / Length gotten by each friend

= 8 4/7 ÷ 10/7

= 60/7 ÷ 10/7

= 6/7 × 7/10.

= 60/10

= 6.

It was shared among 6 friends

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Let z =38 (cos(pi/8)+ i sin(pi/8)) and w = 2 (cos( pi/16 ) + i sin(pi/16))

mario62 [17]

Answer:

$zw=76 * (cos(\frac{3\pi}{16}) +isin(\frac{3\pi}{16}) )$

Step-by-step explanation:

Given

$z =38 (cos(\frac{\pi}{8})+ i sin(\frac{\pi}{8})$ and

$w = 2 (cos(\frac{\pi}{16} ) + i sin(\frac{\pi}{16})$

Required

Determine zw

Given that:

$x = v_1(cos(a) + isin(a))$ and $y = v_2(cos(b) + isin(b))$

$x * y = (v_1 * v_2)*((cos(a+b) + isin(a+b))$

So, we have:

$zw=(38 * 2) * (cos(\frac{\pi}{8} + \frac{\pi}{16}) + isin(\frac{\pi}{8} + \frac{\pi}{16}))$

$zw=76 * (cos(\frac{2\pi + \pi}{16})+isin(\frac{2\pi + \pi}{16}))$

$zw=76 * (cos(\frac{3\pi}{16}) +isin(\frac{3\pi}{16}) )$

7 0

3 years ago

It took a car 4 days to travel 4554 miles. What was the car's average speed in miles per hour

Ahat [919]

Answer:

18.975

Step-by-step explanation:

I hope this is right but i did 60 times 4 =240. then I divided 4554 by 240 but i hope this works and can yhu mark me brainliest

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3 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears.

Stolb23 [73]

The general rule is that if |x| < k, for some positive number k, then we can break that down into the compound inequality -k < x < k

In this case, k = 3 so if |x| < 3 then -3 < x < 3

To graph -3 < x < 3, we do the following:
Step 1) Draw out a number line. Make sure that key values -3 and 3 are present (along with others such as 0)

Step 2) Place open circles or holes at -3 and 3 on the graph.

Step 3) Shade between the two open circles

Following those steps and you'll get what you see attached, which is the first graph you posted (first on the left)

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Side Note: Saying |x| < 3 means that the distance x is from zero, |x|, is less than 3 units. So anything within a 3 unit radius, so to speak, of 0 will be the solution set. We are NOT including the endpoints -3 or 3. This is shown through the use of open circles. They are gaps in the solution set.

If you want the answer in interval notation, then you would write (-3,3)
Which unfortunately looks identical to ordered pair notation, but its not. Instead it means we have an interval from -3 to 3. The parenthesis tell us to exclude the endpoints.