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almond37 [142]
3 years ago
7

At a certain time of day, a vertical pole 8ft high casts a 5ft shadow. How long is the shadow of a 4ft child?

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
We can look at 2 similar triangles.
1st triangle has legs: a vertical pole and its shadow, and
2nd triangle has legs legs : a child and his(her) shadow.

We can write a proportion:
height of a pole/height of a child= shadow of a pole/shadow of a child

8/4 = 5/shadow of a child
shadow of a child=(5*4)/8=5/2 ft
Answer: 5/2 ft

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Please help!!
enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

7 0
2 years ago
Read 2 more answers
A stem-and-leaf plot is made using the following values. Which does NOT correctly represent a line of stem and leaves from the p
melomori [17]

Answer:

7

Step-by-step explanation:

70, 72, 72, 72, 74, 76

There are 6 numbers that have 7 as a 10. There are only 5 ones on the leaf of the stem 7. The 6 is missing.

5 0
3 years ago
What is the LCM of 7371​
Ivenika [448]

Answer:

81 and 91

Step-by-step explanation:

6 0
3 years ago
I believe this is 10x but I don’t know
NeTakaya
Yes the answer I should be 10.
3 0
3 years ago
Read 2 more answers
What is, 7 3/10+6 1/3+2 7/10?
snow_lady [41]

7 3/10 + 6 1/3 + 2 7/10

First change them to improper fractions

73/10 + 19/3 + 27/10

now find the common denominator which would be 30

73/10 = 219 /30

19/3 =   190/30

27/10 =  81 /30

now add (219 + 190 + 81) = 490/30

now divide 490 ÷ 30 = 16 1/3

Your answer is 16 1/3

Hope this helps. :)

6 0
3 years ago
Read 2 more answers
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