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Ksju [112]
3 years ago
15

The base of a triangle is 5/8 ft. The height is 1/8 ft.

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0
In lengthwise, the base is greater than the height by 1/2 ft. If you subtract 5/8 by 1/8, you get 4/8, which can be reduced to 1/2
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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.

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3 years ago
Me. Watson is making 34.6 fluid once's of red paint and 18.6 fluid ounces of yellow paint to make orange paint. How many 3.5- fl
forsale [732]

Answer: She can fill about 15 3.5- fluid once jars.

Step-by-step explanation:

Given:

Quantity of red paint = 34.6 fluid ounces

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= (34.6+18.6) fluid ounces

= 53.2 fluid ounces

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= 53.2÷3.5 = 15 (approx)

Hence, She can fill about 15 3.5- fluid once jars.

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Simply plug g and h into the equation:


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8 0
3 years ago
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