3 years ago

(tan theta+sec theta-1)/(tan theta-sec theta+1)=sec theta+tan theta

Mathematics

1 answer:

9966 [12]3 years ago

8 0

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A pool pass costs $30 for the first month and $15 each additional month. Construct an explicit rule in function notation to mode

noname [10]

Answer:

$F(n)=15(n+1)$ [ where $n$ is number of months]

$F(12)=195$

Step-by-step explanation:

Pool pass cost for first month =$30

Pool pass cost after first month = $15 for each month

The total amount charged by the pool can be expressed as a function $F(n)$ where $n$ represents the number of months.

$F(n)=15(n-1)+30$

This can be simplified by using distribution.

$F(n)=(15n-15)+30$

$F(n)=15n-15+30$

$F(n)=15n+15$

Take 15 as greatest common factor.

∴ $F(n)=15(n+1)$

For $n=12$

$F(12)=15(12+1)$

$F(12)=15(13)$

$F(12)=195$

∴ Amount charged by pool for 12 months = $195

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3 years ago

What is the percent increase between 8,863,052 and 9,149,840?

kvasek [131]

Answer:

$increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%$

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2 years ago

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3 Solve for x. 1 14 10 56 40 " 14 56

Nesterboy [21]

Answer:

Step-by-step explanation:

the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x

solving that gives you x =12

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2 years ago

Find the midpoint of points A(-2,-8) and B(7,-4) graphically.

k0ka [10]

Answer:

The midpoint is (2.5,-6) or written as a fraction ( $\frac{5}{2}$ , -6)

Step-by-step explanation:

$MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-2+7}{2}),(\frac{-8+-4}{2} ) \\MP= (\frac{5}{2}),(\frac{-12}{2} ) \\MP= (2.5,-6 )$

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3 years ago

A family wants to remodel a house and spend at most $135,000 total for the entire project. a)If the builder wants to make a 15%

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Jjjbbjujbujbb. In un cmk bye j Sheeeeeeeesh

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2 years ago