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4 years ago

I need help with my trig homework

Mathematics

1 answer:

blondinia [14]4 years ago

5 0

Answer:

1. sine = opposite / hypotenuse = 30 / 34 = 15 / 17

cosine = adjacent / hypotenuse = 16 / 34 = 8 / 17

tangent = opposite / adjacent = 30 / 16 = 15 / 8

2. you have to use the law of sines function

the formula for law of sines is

sin of angle A / side A = sin of angle B / side B = sine of angle C / side C

The information we know is sin of a and side a which is 90 degrees and side A length of 20

we don't know Side B and C

we know sin of angle B = 45 degrees

all we have to do is ratios

$\frac{sin(90}{20} = \frac{sin(45}{x} \\\\sin(90)*x = 20 * sin(45\\\\sin(90) * x = 14.14\\$

now divide both sides by sin(90

left side both cancel and on right side 14.14/ sin(90 = 14.14 is the answer

Step-by-step explanation:

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a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future valu

katrin2010 [14]

The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

Give, a lump sum of $2000 is invested at 4.2% compounded continuously.

Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

f(t) = 2000.e⁰·°⁴²t

hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

Therefore we get the required function.

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1 year ago

What is the interquartile range of the data shown in the box plot? 48 50 52 54 56 58 60 62 66 68 70 72 74 76 78 80 82 32 14 16 8

mart [117]

Answer:

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the numbe

FromTheMoon [43]

Answer:

Internal angle = $160^\circ$

Number of sides = 18

Step-by-step explanation:

Given that:

We have a regular polygon with number of sides unknown.

Measure of an exterior angle of the polygon = $20^\circ$

To find:

Measure of an interior angle and the number of sides of the polygon?

Solution:

Let us have a look at the relation of sum of external angles.

Sum of one internal angle and its corresponding external angle = $180^\circ$

Internal angle + external angle = $180^\circ$

Internal angle = $180^\circ$ - $20^\circ$ = $160^\circ$

Sum of all the external of a regular polygon = $360^\circ$

All the external angles will be equal because it is a regular polygon.

Let the number of sides = $n$

Therefore,

$n \times 20^\circ = 360^\circ\\\Rightarrow n = 18$

Therefore, the answers are:

Internal angle = $160^\circ$

Number of sides = 18

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3 years ago

Kayla's recipe needs 4 cups of milk and 6 cups of grated cheese. What is the ratio of the number of cups of milk to the number o

Zarrin [17]

Answer:

4:6 or 2:3

Step-by-step explanation:

Let me know if this is correct!

8 0

3 years ago

In how many ways committee of 8 people can be chosen out of 10 men and 6 women if there needs to be at least 5 women?

Neko [114]

Answer:

765

Step-by-step explanation:

Given in the question,

number of people to be choose with at least 5 women in it = 8

There are 2 ways to choose 8 members

5 women

(6C5)(10C3)

6x120

720

6 women

(6C6)(10C2)

1x45

Our final answer is 720 + 45 = 765 ways

Formula to calculate

nCr = n! / r!(n-r)!

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3 years ago