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Dmitry_Shevchenko [17]
3 years ago
7

3 ratios equivalent to 18:14

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0
Think of it this way...ratios can be written as fractions...so 18:14 can be written as 18/14...so basically, ur equivalent ratio is just finding equivalent fractions.
18/14 is equivalent to 9/7, 36/28, and 54/42...so 3 equivalent ratios are : 
9:7 , 36:28, 54:42.
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Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?
bonufazy [111]

Answer:

16

Step-by-step explanation:

The mean of a group of values is calculated as

mean = \frac{sum}{count}

Given 5 numbers with a mean of 12, then

\frac{sum}{5} = 12 ( multiply both sides by 5 )

sum = 60

let the number removed be x , then

\frac{60-x}{4} = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

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x = 16

The number removed was 16

6 0
3 years ago
The first triangle is an enlargement of the second.
insens350 [35]

Answer:

large triangle:

base = 6.64 cm

hypotenuse = 8.31 cm

small triangle:

base = 4 cm

Step-by-step explanation:

large triangle:

tan 37 = 5/base

0.7536 = 5/base

base = 6.64 cm

using the Pythagorean theorem:

hypotenuse² = 5² + 6.64²

hypotenuse² = 25 = 44.02 = 69.02

hypotenuse = 8.31 cm

small triangle:

using the Pythagorean theorem:

base² = 5² - 3²

base² = 25 - 9 = 16

base = 4 cm

3 0
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Answer:

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Step-by-step explanation:

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vladimir2022 [97]

Answer:

540.6 mi

Step-by-step explanation:

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tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

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