All categories

2 years ago

- In the following diagram of triangle QRS, QR = 8 and QS = 17. Determine the value of sin Q. Show how you

Mathematics

1 answer:

dimaraw [331]2 years ago

5 0

Answer:

$SinQ=\frac{15}{17}$

Step-by-step explanation:

We draw the right triangle as shown in the image attached.

Δ QRS

Where R is the right angle

Given

QR = 8

QS = 17

Now, using Pythagorean Theorem, we can find RS:

$QR^2+RS^2=QS^2\\8^2+RS^2=17^2\\RS^2=17^2-8^2\\RS^2=225\\RS=\sqrt{225}\\RS=15$

Now, we know the ratio Sine as:

$Sin(\theta)=\frac{Opposite}{Hyotenuse}$

Where $\theta$ is the angle (here angle Q)

Opposite side is RS (which is 15)

Hypotenuse is given as QS (which is 17)

So,

$SinQ=\frac{15}{17}$

This is the value of SinQ.

We don't want the angle, so we'll stop here.

You might be interested in

A child wanders slowly down a circular staircase from the top of a tower. With x,y,zx,y,z in feet and the origin at the base of

babymother [125]

Answer:

a) The tower is 90 feet tall

b) She reaches the bottom at t = 18 minutes.

c) Her speed at time t is 5 \sqrt[]{5} ft/minute

d) Her acceleration at time t is 10 ft/minute^2

Step-by-step explanation:

Consider the path described by the child as going down the tower to have the following parametrization $\gamma(t) = (10\cos t, 10 \sin t, 90-5t)$

a) Assuming that the child is at the top of the tower when she starts going down, we have that at the initial time (t=0) we will have the value of the height of the tower. That is z = 90-5*0 = 90 ft.

b) The child reaches the bottom as soon as z =0. We want to find the value of t that does that. Then we have 0 = 90-5t, which gives us t = 18 minutes.

c) Given the parametrization we are given, the velocity of the child at time t is given by $\frac{d\gamma}{dt}= (\frac{d}{dt}(10\cos t), \frac{d}{dt} (10 \sin t ), \frac{d}{dt}(90-5t)) = (-10 \sin t, 10 \cos t, -5)$ . The speed is defined as the norm of the velocity vector,

so, the speed at time t is given by $v = \sqrt[]{(-10 \sin t)^2+(10 \cos t)^2+(-5)^2} = \sqrt[]{100(\sin^2 t + \cos^2 t)+25} = \sqrt[]{125}= 5 \sqrt[]{5}$

d) ON the same fashion we want to know the norm of the second derivative of $\gamma$ .

We have that $\gamma ^{''}(t) =(-10\cost t, -10 \sin t , 0)$ so the acceleration is given by $\sqrt[]{100(\cos^2 t+ \sin^2 t )} = 10$

6 0

1 year ago

The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

vladimir2022 [97]

Answer:

Step-by-step explanation:

5 0

2 years ago

8.06

Lera25 [3.4K]

Answer:

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Probability Problems.

Based on the study that Shane conducted we can assume a couple of things. Firstly, we can see that a vast majority of shoppers are buying products they saw advertised, so we can assume that advertising a product directly affects and contributes to the sales of that particular product.

Secondly, we can tell from the study that the number 1 method for advertising products is the Internet. Since 70% of all the interviewed shoppers are buying a product they saw on the internet.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0

1 year ago

Kristina's work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike

taurus [48]

She bikes 761.25 miles in all to and from her job in 29 weeks.

Step-by-step explanation:

Distance from her house = 2.625 miles

As this is the distance of one side, she covers same distance for coming back.

Total distance for one day = 2.625 + 2.625 = 5.25 miles

She goes to work for 5 days per week.

29 weeks = $29*5 = 145\ days$

Total distance covered in 29 weeks;

Total distance = Distance for one day * Days in 29 weeks

$Total\ distance=5.25*145=761.25\ miles$

She bikes 761.25 miles in all to and from her job in 29 weeks.

Keywords: multiplication, distance

Learn more about multiplication at:

#LearnwithBrainly

6 0

1 year ago

Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef

Mashutka [201]

Answer:

Mrs. Wright's paycheck is $630

Step-by-step explanation:

Let x = Mrs. Wright's paycheck.

Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9

She spent 1/3 on rent. This means that the amount spent on rent is

1/3 ×x x = x/3

Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9

= 5x/9

The remainder is her pay check - the amount that she spent on food and rent. It becomes

x - 5x/9 = (9x- 5x)/9 = 4x/9

She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.

Amount left = 4x /9 - x/9= 3x/9

She had $210 left. Therefore,

210 = 3x/9

3x = 9×210 = 1890

x = 1890/3

x = $630

3 0

2 years ago