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Shtirlitz [24]
2 years ago
10

What is the probability that one of the new parts produced will be over 1.412 cm long?

Mathematics
1 answer:
Aliun [14]2 years ago
3 0

Answer:

Hello

Step-by-step explanation:

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a house in Florida is priced at $155,000 the rent on a comparable houses $950 per month find the price to rent ratio​
zysi [14]

<u>Answer: </u>

The price to rent ratio calculated is 13.6.  

<u>Explanation: </u>

As per the stated question,

the house in florida was priced at $155,000 and

the rent that was comparable houses was $950 per month.  

The house rent for a year can be calculated as 950 x 12 = 11400

Henceforth, the formulae for price to rent ratio was given as

\text { rent ratio }=\frac{\text { median home price }}{\text { median home rent }}

=   \frac{155000}{950 \times 12}=\frac{155000}{11400}=13.6

therefore the price to rent ratio is 13.6

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2 years ago
Show that √(1-cos A/1+cos A) =cosec A - cot A​
Gennadij [26K]

Hi there!

\sqrt{\frac{1-cosA}{1+cosA}} =

We can begin by multiplying by its conjugate:

\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}}  = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =

Simplify using the identity:

1 - cos^2A = sin^2A

\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =

Take the square root of the expression:

{\frac{sinA}{1+cosA} =

Multiply again by the conjugate to get a SINGLE term in the denominator:

{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\

Simplify:

{\frac{sinA(1-cosA)}{1-cos^2A} =

Use the above trig identity one more:

{\frac{sinA(1-cosA)}{sin^2A} =

Cancel out sinA:

{\frac{(1-cosA)}{sinA}  =

Split the fraction into two:

{\frac{1}{sinA}   - \frac{cosA}{sinA} =

Recall:

1/sinA = cscA\\\\cosA/sinA = cotA

Simplify:

\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}

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2 years ago
Solve the word problem. Mario has 18 coins in his drawer. Five of the coins are nickels, and the rest are pennies. What is the t
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