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OLga [1]
3 years ago
6

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

9514 1404 393

Answer:

  • a = 6
  • b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

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One tank is filling at a rate of
jeka57 [31]

Answer:

The answer is the 59 gallons per 13 minutes.

Step-by-step explanation:

the first tank is filling at a rate of 175 gallons per hour because 60/12 is 5 and 35*5 is 175. the second tank is filling at a rate of 272.3 gallons per hour because 60/13 is 4.6 and 59*4.6 is 272.3

4 0
3 years ago
A number has the digits 0,
Crank
The number you’re looking for is 570
3 0
4 years ago
A particular metal alloy a has 20% iron and another alloy b contains 60% iron. how many kilograms of each alloy should be combin
Veronika [31]
Let t and s represent the masses of 20% and 60% alloys respectively.

t+s=80, s=80-t

(0.2t+0.6s)/80=0.52  multiply both sides by 80

0.2t+0.6s=41.6, now using s=80-t in this equation gives us:

0.2t+0.6(80-t)=41.6  perform indicated multiplication on left side

0.2t+48-0.6t=41.6  combine like terms on left side

-0.4t+48=41.6  subtract 48 from both sides

-0.4t=-6.4  divide both sides by -0.4

t=16, since s=80-t

s=64

So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
5 0
4 years ago
Work algebraically and you must show equation used and the work used to get your answers.
postnew [5]
Well, it is \frac{-2}{25}. That is, the equation is y=\frac{-2}{25}x+30. The run could be found when y=0, so \frac{-2}{25}+30=0 or 30=\frac{2}{25}x or 750=2x or x=375. 375 inches. 30 feet means 360 inches, as far as I remember (in my country only metric systems are being used :) ) so it doesn't really work -- the ramp is just a bit too long.
4 0
4 years ago
Read 2 more answers
13. Namir purchased fuel for his farm truck that cost $79.17. He gave the clerk a $100 bill. How much change should Namir receiv
lora16 [44]

Answer:

$20.83

Step-by-step explanation:

cost of fuel purchased =$79.17

amount given to the clerk= $100

amount of change she should receive= 100-79.17

= $20.83

5 0
2 years ago
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