Find the GCF of 56 and 40.
A.2
B.4
C.8
D.280

Answers

Answer 1

Answer: 56: 222 740: 2225 GCF: 222

The Greates Common Factor (GCF) is: 2 x 2 x 2 = 8

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a and b are vectors such that |a| = √3, |b| = 1, and the angle between them is 5π/6. Using scalar product, find the exact value of |2a + b|.

Answers

Answer:

|2a + b| = 2√(3) + 1

Step-by-step explanation:

|a| = √(3)

|b| = 1

θ = 5π/6

For scalar vectors, A.B = |a|.|b|.cosθ

|2a| = 2*√(3) = 2√(3)

|2a + b| = 2√(3) + 1

Since we don't have to find the scalar or dot product, there's no need to use the formula requiring the angle between them

|2a + b| = 2√(3) + 1

Keira has 750 square inches of wrapping paper. Her package is in the shape of a right rectangular prism that is 15 inches long 12 inches wide and 8 inches high. Does she have enough paper to cover her package? Explain your reasoning. 2: Sam and alana both have prisms with Heights of 20 inches. Sam's base is a right triangle with legs that are 3 inches long and 4 inches long. Alana's base is a rectangle that is 3 inches by 4 inches. Which prism has the greater volume?

Answers

For Number 2, Alana has the prism with the greater volume.
Though they both share the same dimensions, height of 20, length and width of 3 and 4, do NOT forget that for a triangle, you have to divide the result by half, thus making Sam's triangle of less volume.

For Number 1, the answer is no. She only has 750 square inches of wrapping paper while the SA ( surface area/ area of the top of a prism ) comes to 792 inches.

Suppose 11 out of 17 students said they were attending a football game. How many students out of 475 would you expect to attend the football game?

Answers

We have to basically multiply:

$\sf{(11)/(17)* 475}$

And simplifying that we get

$\sf{307.35}$

And since there can't be .35 person

So out final answer is $\boxed{\sf{307 people}}$

What precent does this change $16 to $4

Answers

Answer:

Percentage change=75% .

Step-by-step explanation:

Given : $16 to $4

To find: What is the percent change .

Solution: We have given that $16 to $4 .

Change = final value - initial value .

Change = $16 - $4

=$12

percentage change = $(change)/(original value) *100$

= $(12)/(16) *100$

On dividing both number by 4

percentage change=. $(3)/(4) *100$

percentage change=. [tex]\frac{300}{4} .

percentage change=75% .

Therefore, percentage change=75% .

The percent change is 25%,because 4 divided by 16 is 0.25,and to convert a decimal to a percent,I multiplied 0.25 by 100,and the product,(the answer when 2 or more numbers are multiplied)was 25 and then i added the percent sign to 25,and so the percentage is 25%

What is 19 percent of 72