Write 720 as a product of its prime factors

Answers

Answer 1

Answer: Prime factors are natural numbers that has no divisors except 1 and itself as 2,3,5,7 and many many more
so, you need to use this numbers to do a prime factorization.
So, the prime factorization of 720 is 2^4 * 3^2 * 5
Hope this Helps :D

Answer 2

Answer: 720 = 2^4 * 3² * 5
does this help

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Figure WXYZ is a rectangle with a semicircle added to its base.What is the perimeter of figure WXYZ? Use 3.14 to approximate pi.

Answers

Figure WXYZ is a rectangle that has a semicircle added to its base. The rectangle has a length of sixteen inches and a width of seven inches. The semicircle has a diameter equal to the length of the rectangle.

Given:
Rectangle: Length = 16 inches ; width = 7 inches
Semicirle added to its base, the length of the rectangle. Only one length.

We need to get the circumference of the semi circle and add the length and 2 widths of the rectangle.

Circumference of a circle = 2πr ⇒ 2 * 3.14 * 8 inches = 50.24
Circumference of a semicircle = 50.24/2 = 25.12 inches
Widths of the rectangle = 2 * 7 inches = 14 inches

Perimeter of the figure = 25.12 in + 14 in + 16 in = 55.12 inches.

Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?

Answers

Answer:

$9 in change

Step-by-step explanation:

Find the total cost of his purchases:

28 + 28 + 85

= 141

Find how much change he received by subtracting this from 150:

150 - 141

= 9

So, he should have received $9 in change

Find the measure of the missing angle

Answers

Answer:

45 degrees

Step-by-step explanation:

All triangles equal 180 degrees so your just add the two existing angles which gets you 135 then you do 180-135, therefore giving you 45

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers. Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?

Answers

12+33=45. 45/55 people drink tea or coffee. This means if you picked someone randomly there would be a 45/55 chance that they drink tea or coffee. This means there is a 10/55 chance of someone who drinks neither. We can simplify this to 2/11.

Answer:

D. 2/11

Step-by-step explanation:

For all Plato users.

What is the solution of the equation? eliminate any extraneous solutions. (−2x + 6)15= (−8 + 10x)15?

Answers

Divide both sides by 15: -2x +6 = -8 + 10x
Add 2x to both sides: 6 = -8 + 12x
Add 8 to both sides: 14 = 12x
Divide both sides by 12: 14/12 = x
Reduce the fraction: 7/6 = x

Answer: x = 7/6

Sin43×cos47+cos47×sin43

Answers

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

sin43×cos47+cos47×sin43 = sin(43 + 47)

= sin(90) = 1

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