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elena-14-01-66 [18.8K]
3 years ago
12

Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest

Mathematics
1 answer:
seropon [69]3 years ago
3 0
60 as prime factor = 

60 = 3 x 2 x 5 x 2

hope this helps

3 x 2 = 6 x 5 = 30 x 2 = 60
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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
What property would justify the following statement? If a = b and b = c, then a = c. Addition Property Reflexive Property Subtra
romanna [79]

Answer:

It would be the transitive property! If you look up "If a = b, and b = c, then a = c" you'd see the transitive property. I hope this helps!

6 0
3 years ago
A car starts from an initial velocity of 10m/s and accelerates at 2.5m/s².how long will it take the car to reach a speed of 40m/
PIT_PIT [208]
A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s

To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m

Hope this helps :)
7 0
3 years ago
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Marina CMI [18]

Answer:

√ 15  + √ 10

Step-by-step explanation:

The answer is above                                                                            

3 0
3 years ago
Add and simplify 1/8 5/8
skelet666 [1.2K]
1+5=6 so 6/8 

Simplifying 6/8 is 3/4
8 0
3 years ago
Read 2 more answers
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