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3 years ago

What are 1, 2 and 3

Mathematics

2 answers:

Mademuasel [1]3 years ago

5 0

1. 214
2. 328.5 or 328 R1
3. 1,210 R3

netineya [11]3 years ago

4 0

1. 217
2. 328.5
3. 1,210.4

Hope this helps. :)

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Help please triangles and trig

Oksanka [162]

Answer:

$\sin L = \frac{3}{5}$

$\tan N = \frac{4}{3}$

$\cos L = \frac{4}{5}$

$\sin N = \frac{4}{5}$

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

$LN^2 = LM^2 + MN^2$

$10^2 = LM^2 + 6^2$

$100 = LM^2 + 36$

Collect like terms

$LM^2 = 100 - 36$

$LM^2 = 64$

Take positive square root

$LM=8$

Solving (a): Sin L

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

$\sin L = \frac{6}{10}$

Simplify

$\sin L = \frac{3}{5}$

Solving (b): tan N

$\tan N = \frac{Opposite}{Adjacent}$

$\tan N = \frac{LM}{MN}$

$\tan N = \frac{8}{6}$

Simplify

$\tan N = \frac{4}{3}$

Solving (c): cos L

This calculated as:

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

$\cos L = \frac{8}{10}$

Simplify

$\cos L = \frac{4}{5}$

Solving (d): sin N

This is calculated using:

If $a + b = 90$

Then: $\sin a = \cos b$

So:

$\sin N = \cos L$

$\sin N = \frac{4}{5}$

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3 years ago

In early 2007 the Mortgage Lenders Association reported that homeowners, hit hard by rising interest rates on adjustable-rate mo

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Answer:

Step-by-step explanation:

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Write each statement as a decimal to two decimal places. $6.00 to 95 cents = 3 hours to 35 minutes = 42 inches to 2 feet = (Hint

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Answer/Step-by-step Explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

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This is same as $6.00 : 95 cents = $\frac{6.00}{95}$

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

$\frac{600}{95} = 6.32$ (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

$180mins : 35 mins = \frac{180}{35} = 5.14$ (2 d.p)

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Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

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Answer:

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Step-by-step explanation:

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