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myrzilka [38]
3 years ago
8

In triangle ABC below, BD is the altitude. Point A represents Omari's house, point C represents the restaurant where Omari works

, and point D represents a gas station where Omari frequently stops. If the distance from Omari's home to his work site is 10 miles, what is the distance from the gas station to Omari's work site?

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

B

Step-by-step explanation:

B

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec
vova2212 [387]

Given:

second term = 18

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The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

\begin{gathered} ar\text{ =  18} \\ a\text{ }\times\text{ 2 =  18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}

Hence, the explicit rule for the sequence is:

a_n\text{ = 9\lparen2\rparen}^{n-1}

5 0
2 years ago
A horse is shown in the scale drawing the height of the horse in the drawing is 4.5 inches the scale that maps the drawing to th
sladkih [1.3K]

Answer: 6.75 feet.

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5 0
3 years ago
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There are 50 oranges in a box.3/10 of them are rotten. How many of the oranges are not rotten?
ziro4ka [17]

3/10 is the same as 15 out of 50. subtract 15 from 50 and you get 35, the answer.

5 0
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ziro4ka [17]
Answer:

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Step-by-step explanation:

4l + 8m = 40

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m = 5 - 0.5l

5l + 2m = 28

5l + 2(5 - 0.5l) = 28

5l + (10 - l) = 28

4l + 10 = 28

4l = 18

l = 18/4 or 9/2

l = 4.5

4l + 8m = 40

4(4.5) + 8m = 40

18 + 8m = 40

8m + 18 = 40

8m = 22

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3 0
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Hello human

Answer:

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