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3 years ago

Pat is knitting a scarf. On average she can knit 2 cm in 35 minutes.

Mathematics

1 answer:

yawa3891 [41]3 years ago

4 0

2cm per 35 minutes
1cm per 17.5 minutes

17.5 minutes per centimeter

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P and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .

gayaneshka [121]

Answer:

Option B is correct

Step-by-step explanation:

Given: $\left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}$

To find: interval on which $\left | q \right |$ must fall

Solution:

$\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)$

$\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)$

Subtract (ii) from (i)

$-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}$

So, $\left | q \right |$ must fall in interval $[12\sqrt{3}-7\sqrt{2},\infty)$

Therefore, option B is correct.

8 0

3 years ago

A bag of potatoes weighs 7 and 1/2 pounds. Of the potatoes in the bag, 1/6 are rotten. What is the weight of the good potatoes?

Finger [1]

Answer:

one sixth of 7.5 pounds is 1.25, so 7.5 minus the rotten 1.25 is 6.25.

Step-by-step explanation:

3 0

3 years ago

Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are m

Leto [7]

Answer:

37 years

Step-by-step explanation:

4 0

3 years ago

Identify the zeros of the function below

Tamiku [17]

Check the picture below.

7 0

3 years ago

For the following right triangle, find the side length x

Liula [17]

Answer:

Step-by-step explanation:

To find the side length of a right triangle with the other two sides already, known, use the <em>Pythagorean Theorem, </em>

a²<em> </em>+ b² = c²

24² + 10² = x²

24 times 24 is 576,

10 times 10 is 100,

Add them together to get 676,

And then find the square root.

√676 = 26 :)

7 0

2 years ago