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otez555 [7]
2 years ago
8

A music company sells music to download, they charge $7.00 for each album and $1.50 for each song. On monday the company sold a

combined total of 170 albums and the songs that totaled $442.00 on monday what was the ratio of the number of albums sold to the number of songs sold?
A. 1:4
B. 7:1
C. 5:1
D. 1:14
Mathematics
1 answer:
DochEvi [55]2 years ago
6 0

Answer:

1:14

Step-by-step explanation:

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Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

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2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

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Solve it and get

h > -84

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Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

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Step-by-step explanation:

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Step-by-step explanation:

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