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Semenov [28]
3 years ago
10

The formula for finding the area of a triangle is A = 1/2bh. A triangle has height 12 in. and area 54in^2. What is the length of

its base?
Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

9in

Step-by-step explanation:

54 = 1/2(12*x)

54 = 6*x

x = 9

Check

12 x 9 = 108

108/2 = 54

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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: between the midpoints of segments AP and QB
amid [387]

Answer:

\frac{a}{8}

Step-by-step explanation:

AB = a

AP = 2PQ = 2QB

AB = AP + PQ + QB

     = AP + \frac{AP}{2} + \frac{AP}{2}

AB = 2AP

AP = \frac{a}{2} -----(1)

And we know QB = \frac{AP}{2}

QB= AP/2 = \frac{a}{4} ---------(2)

Now midpoint of AP = \frac{a}{2} × \frac{1}{2} = \frac{a}{4}

and midpoint of QB = \frac{a}{4} × \frac{1}{2} = \frac{a}{8}

distance between these midpoints = \frac{a}{4} - \frac{a}{8}

= \frac{a}{8}

4 0
3 years ago
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Henry has a 12 m wire. He cuts 12.5% of the wire. How long is the wire that Henry cut?
Korvikt [17]
10ml would be the answer to this question
7 0
3 years ago
How do I confirm that f and g are inverses?
Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= \frac{6x-4+4}{6} = \frac{6x}{6} = x

-----------------------------------------------------------------------------

g(f(x))

= g(\frac{x+4}{6} )

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4 0
4 years ago
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Answer:

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So now inverse that to make 1 up and also going 1 left.

5 0
3 years ago
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adelina 88 [10]

Answer:

35.7 / 0.07 = 510

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explanation-

I don't know how to explain but it's right!

7 0
3 years ago
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