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olganol [36]
1 year ago
7

Find the value of the trig functions indicated .

Mathematics
1 answer:
lara31 [8.8K]1 year ago
4 0

Answer:

The choice; B) 5/3

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\  {15}^{2}  +  {20}^{2}  =  {c}^{2}  \\ 225 + 400 =  {c}^{2}  \\  {c}^{2}  = 625 \\ c = 25

\sec(θ)  =  \frac{1}{ \cos(θ) }  \\  \\  \sec(θ)  =  \frac{1}{ \frac{adjacent}{hypotenuse} }  =   \frac{hypotenuse}{adjacent}  \\  \\  \sec(θ)  =  \frac{25}{15}  =  \frac{25 \div 5}{15\div 5}  =  \frac{5}{3}

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Plz, answer the question in the photo.
kotegsom [21]

Answer:

H

Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 32

1

3

= ( 2 × 3 ) over 3

2 × 3

3

+ 1 over 3

1

3

= ( 6 + 1 ) over 3

6 + 1

3

= 7 over 3

7

3

Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

32

9

− 7 over 3

7

3

= ( 32 × 1 ) over ( 9 × 1 )

32 × 1

9 × 1

− ( 7 × 3 ) over ( 3 × 3 )

7 × 3

3 × 3

= 32 over 9

32

9

− 21 over 9

21

9

9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

32

9

− 21 over 9

21

9

= ( 32 − 21 ) over 9

32 − 21

9

= 11 over 9

11

9

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

11

9

= 1 and 2 over 91

2

9

4 0
3 years ago
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
andre [41]

Answer:

y=4.8710 is the missing value

Step-by-step explanation:

The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a  scatter-plot for the data.

The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.

The exponential regression equation for the data set is given as;

y=12.321e^{-0.464x}

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

y=12.321e^{-0.464(2)}\\\\y=4.8710

5 0
3 years ago
A local theater charges $3 for student tickets and $5 for adult tickets. If they sold 85 tickets for a total of 301.00, how many
harkovskaia [24]

Answer:

20

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number o
lana [24]

Answer:

a) A\simeq17204.28

b) A\simeq29598.74

c)A\simeq50922.51

Step-by-step explanation:

The amount formula in compound interest is:

A=P(1+\frac{r}{n} )^{nt}

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $10000

r = 11\% = \frac{11\%}{100\%}=0.11

n = 4 (quarterly in a year)

a ) t = 5 years

A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28

b) t = 10 years

A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74

c) t = 15 years

A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51

5 0
2 years ago
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A builder could get 6 sheets of sheetrock for $9. If he bought 12 sheets, how much money would he have spent? sheets 6 12 money
melamori03 [73]

Answer:

$18

Step-by-step explanation:

we proceed by first solving for the unit cost of a sheet

then calculate the cost for any number of sheet

We are told that a builder could buy 6 sheets for the cost of $9

this means that one sheet would cost 9/6= $1.5

Now the builder buys 12 sheets

therefore the cost of 12 sheets will be

12*1.5= $18

3 0
3 years ago
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