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2 years ago

Find magnitude and directionof vector a = ( -3 , -3 )

Mathematics

1 answer:

nevsk [136]2 years ago

3 0

Answer:

Step-by-step explanation:

Magnitude: |a|= $\sqrt{(-3)^{2}+(-3)^{2} }=3\sqrt{2}$

Direction: in the negative direction of the Ox axe and Oy axe

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Find the gradient of the line segment between the points (-6,2) and (4,10).

Brilliant_brown [7]

Answer:

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

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3 years ago

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Joana was shopping for new pants. Store A has 3 pairs of pants for $ 94.50 and Store B has 4 pants for $126.00. Which store has

ankoles [38]

Answer:

I would say store B.

Step-by-step explanation:

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3 years ago

What is the volume of a square pyramid with base edges 24 feet and slant height 37

-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

$h^2=l^2-\dfrac{1}{2} b^2$ where h is height, l is slant height and b is base edge of pyramid

So we have

$h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35$

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

$V=b^2\dfrac{h}{3}$ where V is volume , b is base edge and h is height of pyramid

Therefore

$V= (24)^2\dfrac{35}{3} = 6720$

Hence , the volume of pyramid is 6720 ft³

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3 years ago

Sharif's portfolio generated returns of 12 percent, 15 percent, −15 percent, 19 percent, and −12 percent over five years. What w

qwelly [4]

Answer:

3.8 percent

Step-by-step explanation:

To find his average return over n years, we sum all of his returns, and divide by n.

In this problem:

5 years.

The sum is (12 + 15 - 15 + 19 - 12) = 19

19/5 = 3.8

So the correct answer is:

3.8 percent

8 0

4 years ago

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Three marbles are randomly

Gnoma [55]

Answer: Last Option is correct.

Step-by-step explanation:

Since we have given that

Number of yellow marbles = 8

Number of green marbles = 9

Number of purple marbles = 3

Number of red marbles = 5

So,

Probability that there is atmost one purple marble is given by

$P(X=0)+P(X=1)\\\\=\frac{^{22}C_3}{^25C_3}+\frac{^3C_1\times ^{22}C_2}{^25C_3}\\\\=\frac{22\times 21\times 20}{25\times 24\times 23}+3\times \frac{22\times 21}{25\times 24\times 23}\\\\=0.971$

Hence, Last Option is correct.

3 0

3 years ago

Read 2 more answers

Find magnitude and directionof vector a = ( -3 , -3 )​

Find magnitude and directionof vector a = ( -3 , -3 )