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3 years ago

Simplify (csc x)/(sec x)

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

$\dfrac{\csc x}{\sec x}=\dfrac{\frac{1}{\sin x}}{\frac{1}{\cos x}}=\dfrac{\cos x}{\sin x}=\boxed{\cot x}$

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Angie is on a road trip, and is reading a map that has a scale of 1 in: 40 miles. Her trip measures 5.5 inches on the map. What

WARRIOR [948]

Answer:

A. 220 miles

Step-by-step explanation:

You can multiply to find the answer. 5.5 times 40 = 220 miles.

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3 years ago

An oblique hexagonal prism has a base area of 42

AlekseyPX

Answer:

168 cm³

Step-by-step explanation:

The base area of the oblique hexagonal prism = 42 cm²

the height of the prism = 4 cm

Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³

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4 years ago

Ravi lost 80 dollars from his pocket.<br>Write a signed number to represent this change.

Mariana [72]

Answer:

x - 80

Step-by-step explanation:

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3 years ago

Find the selling price for a case of Newman's Own® special blend coffee that costs the retailer $35.87 if the markup is 22% of t

mote1985 [20]

Answer:

The selling price is $46 approx.

Step-by-step explanation:

The cost price is = $35.87

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Let the selling price be = 100%

So, 100%-22%=78% = 0.78

So, solution is = $35.87/0.78=45.98$ ≈ $46.

Hence, the selling price is $46 approx.

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3 years ago

1. Elissa is buying a new car. She has an excellent credit score of

k0ka [10]

Answer:

$273.38 per month

Step-by-step explanation:

<u>Monthly Payment Formula</u>

$\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}$

where:

PMT = monthly payment
P = loan amount
i = interest rate per month (in decimal form)
n = term of the loan (in months)

Given:

P = $19,500 - $4,000 = $15,500
i = 2.25% / 12 = 0.0225 / 12
n = 5 years = 60 months

$\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}$

$\implies \sf PMT=273.3788438$

$\implies \sf PMT=\$273.38$

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2 years ago