Alice wants to find all the prime factors of the number you get when you multiply 17 x 11 x 13 x 7. She thinks she has to use a calculator to perform all the multiplications and then find the prime factorization of the resulting number. Do you agree? Why or why not?

Answers

Answer 1

Answer: I disagree because she can use a pencil and paper or she can do mental math

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One hamster weighs 300 g less than halfthe weight of a second. If their combined
weight is 1950 g, how much does each
hamster weigh?

Answers

I’m not completely sure if I’m right but hamster 1 should be 525 grams and the other 1,650 grams because - (and srry for messy hand writing not sure if u learned this way)

Answer:

1125&825

Step-by-step explanation:

oscar‘s Daphnis house was shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?

Answers

Answer:

4ft.

Step-by-step explanation:

So, due to the shape being a triangle you could split the triangle in two to determine the height. This means that its essentially two right angle triangles beside one another with the hypotenuse being 5 ft long and its base being 3ft long. ( because we split the base by 2 so 6/2=3) Now we can perform the pythagorem theorum to solve for the wanted side (height). The pythagorem theorum is the hyptenuse squared equals one side squared plus the other side squared but considering we do not have one of those sides (height) we must re-organize the formula. SO the formula we will be using is hypotenuse squared minus side squared equals height squared.

Therefore,

5(squared) - 3(squared) = x(squared)

25-9=x(squared)

16=x(squared)

square root of 16=x

4=x

Finally, state your results... so we could say that due to our results the height of the tent would be 4 ft long.

2/3 of the product of 3/8 and 16

Answers

Well in order to find 2/3 of the product of those two numbers
first we gotta figure out their product:)
lets do that first
3 3 16
---- x 16 or lets write it like this ---- x -----
8 8 1

and when you multiply fractions you just multiply across literally!!
ill show you

3 16 = 3 x 16 = 48
--- x -----
8 1 = 8 x 1 = 8

so now we have our new fraction!
48
-----
8
now we also know that this fraction also equals 6
so if we are trying to figure out 2/3s of 6 we would have to multiply them
but first lets try to change 2/3s to a decimal or in this case 0.6666666667
soooo now we multiply that by 6
0.6666666667 x 6 = 4
so that means that 2/3 of 6 is 4
hey! we have our answer:)
answer? 4
also dont forget to
MARK ME BRAINLIEST:D

Ron bought a piece of plastic that was 3 1/2 yd by 2 2/3 yd. What was the area of Ron's plastic?
Express your answer in simplest form.

Please help me someone!

Answers

Multiply base time height. Simply put B(H)=A

B=3 1/2
H=2 2/3

A=(3 1/2)(2 2/3)
A=28/3
A=9.3333

A 14 foot ladder is used to scale a 13 foot wall.At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Answers

The angle of elevation must be 68.202 degrees

Solution:

Given that, 14 foot ladder is used to scale a 13 foot wall

We have to find the angle of elevation must the ladder be situated in order to reach the top of the wall

The figure for this solution is attached below

The ladder, wall and the ground forms a right angled triangle

ABC is a right angled triangle

AB is the height of wall = 13 feet

AC is the length of ladder = 14 feet

We have to find the angle of elevation

Let the angle of elevation be "x"

For right angled triangle ABC, We can use the definition for sine

$\sin x=\frac{\text { opposite }}{\text { hypotenuse }}$

Here, in figure, opposite = AB and hypotenuse = AC

$\sin x=(A B)/(A C)\n\n\sin x = (13)/(14)\n\n\sin x = 0.9285\n\nx = sin^(-1)(0.9285)\n\nx = 68.202$

Thus the angle of elevation must be 68.202 degrees

The angle of elevation the ladder will be situated in order to reach the top of the wall is 68°.

What is a right triangle?

A right triangle has one of its angles as 90 degrees. The angle of elevation can be found using trigonometric ratios.

Therefore, the angle of elevation can be calculated as follows;

The length of the ladder is the hypotenuse.

The opposite side is the height of the wall.

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 13 / 14

∅ = sin⁻¹ 0.92857142857

∅ = 68.2129901712

∅ = 68°

learn more on right triangle here: brainly.com/question/22479729

#SPJ5

A store has 255 wool ponchos to sell. There are 112 adult-sized ponchos that sell for $45 each. The rest are kid-sized and sell for $32 each. If the store sells all the ponchos, how much money will the store receive?

Answers

There are 112 adult-sized ponchos for $45 each and 143 kid sized-ponchos for $32 each

112 * 45 = 5,040
143 * 32 = 4,576
5,040 + 4,576 = 9,616

If the store sells all the ponchos it will receive $9,616

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