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3 years ago

Select a composite number to break into factors. continue factoring until all factors are prime

Mathematics

1 answer:

fgiga [73]3 years ago

6 0

Answer:

2*2*3*3*5

Step-by-step explanation:

180 = 18*10

18 and 10 are both composite

= 6*3 * 5*2

3,5,2 are prime but 6 is composite

= 3*2 * 3 * 5 * 2

All the factors are prime

Listing in order

2*2*3*3*5

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For the right triangles below, find the exact values of the side lengths b and d.

Ivanshal [37]

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

7 0

3 years ago

Which choice represents the best rational approximation for 20 ? A) 2.7 B) 4.5 C) 4.8 D) 5.2

konstantin123 [22]

I thin that the answer is A

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3 years ago

Which of shakina's statements regarding acceleration and velocity is false? "when the acceleration is negative, the velocity can

Mekhanik [1.2K]

Let's start by imagining a rock being thrown to the air.
Let's say that going up is the positive direction and so, going down is the negative.
The acceleration is pointing down (because of gravity) so it's always negative. While the rock is going up, it's velocity/speed is positive, but the acceleration is negative.
While the rock is going down, both acceleration and speed are negative.
This shows that the first statemente is true, but the second is false.
You can also think that if you define going DOWN as the POSITIVE direction, you can have both positive acceleration and speed, or positive acceleration and negative speed.

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3 years ago

Convert 60 miles per hour into meters per second

Svetllana [295]

1,609.35 meters are in a mile.
3,600 seconds are in an hour.

1,609.35meters x 60miles = 96,561 meters per hour
96,561meters per hour / 3,600seconds = 26.82 meters per second

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4 years ago

Q4.

goblinko [34]

The coding of the statistic is used to make it easier to work with the large sunshine data set