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3 years ago

The figure below shows a right triangle:

Mathematics

2 answers:

padilas [110]3 years ago

6 0

Answer:

sin y°

Step-by-step explanation:

The side marked r is opposite angle y and adjacent to angle x.

The side marked q is the hypotenuse.

This means we either have the ratio opposite/hypotenuse or adjacent/hypotenuse.

This gives us the sine of y and the cosine of x; the only one of these that is a choice is sin y.

vovikov84 [41]3 years ago

4 0

r/q= sin y
I got sin y,
or option one

Hope this helps ;3

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PLEASE HELPPPPPP. I NEED IT DONEEEEE.

agasfer [191]

Answer:

1. Couples tickets: $8

Individual tickets: $4

2. Song download cost: $2

Movie download cost: $15

Step-by-step explanation:

You can solve both of these questions by doing system of equations.

Let's start with question 1.

There are 2 variables in this equation:

- Couples tickets price: let's represent these with the letter C

- Individual tickets price: let's represent these with the letter K

Writing the two equations would look this these:

5c + 2k = 48

3c + 2k = 32

Next, isolate a variable. I am going to isolate K in the first equation.

$2k = -5c + 48 \\k = -\frac{5}{2}c + 24$

Now that we isolated a variable we can plug that back in to the second equation:

$3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8$

We found that c is equal to 8 so we can put that back in to an equation to solve for k.

5(8) + 2k = 48

40 + 2k = 48

2k = 8

k = 4

Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.

Check #1:

5(8) + 2(4) = 48

40 + 8 = 48

48 = 48

3(8) + 2(4) = 32

24 + 8 = 32

32 + 32

Now, let's go on to question 2.

There are 2 variables in this equation:

- Price of songs downloaded: let's represent these with S

- Price of movies downloaded: let's represent these with M

Writing the two equations would look like this:

15s + 11m = 195

15s + 8m = 150

There is a simple way to answer this system, however.

If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:

15s + 11m = 195

-(15s +8m = 150)

Minus them to get this equation:

3m = 45

Solve

m = 15

We have found that each movie download costs $15, now let's plug this back into an equation:

15s + 11(15) = 195

15s + 165 = 195

15s = 30

s = 2

Each song costs $2 to download.

Check #2:

15(2) + 11(15) = 195

30 + 165 = 195

195 = 195

15(2) + 8(15) = 150

30 + 120 = 150

150 = 150

I hope this helps!!

- Kay :)

6 0

3 years ago

A football team lost 9 yards on its first play. It then gained 9 yards on its second play.

Otrada [13]

A=In the 50 yard line.
B= -9
C=No because of absolute value

3 0

3 years ago

Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice

Snowcat [4.5K]

Answer:

6 pounds of potatoes = $9

3 pounds of onions = $9

The onions cost $3 per pound

and the potatoes cost $1.50 per pound

Step-by-step explanation:

6 0

3 years ago

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How do you write 9.59 x 102 in a standard form?

Nataly [62]

Answer:

978.18

Step-by-step explanation:

6 0

3 years ago

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The dimensions of a right rectangular prism are shown below. 1 in. 1a in. 2 in. in. How many cubes with side lengths of inch are

Dafna1 [17]

First we neeed to find the volume of the rectangular prism

$V=\text{ l}\times w\times h$ $V=1\times1\frac{1}{6}\times2\frac{1}{6}$ $=1\times\frac{7}{6}\times\frac{13}{6}$ $=\frac{91}{36}in^3$

Volume of cube with side lengths 1/6 = 1/6 x 1/6 x 1/6 = 1/216

The number of cubes needed to fill the prism without gaps or overlaps =

$=\frac{91}{36}\text{ divide by }\frac{1}{216}$ $=\frac{91}{36}\times\frac{216}{1}$ $=\frac{19656}{36}$ $=546$

3 0

1 year ago