1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
5

2.(07.01 HC)

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

Step-by-step explanation:

By applying Pythagoras theorem in the triangle given in the picture,

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying sine rule in the given triangle,

sin(x°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

          = \frac{15}{17}

cos(y°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

           = \frac{8}{17}

Relation between the ratio of sin(x) and cos(x) will be,

\frac{\text{sin(x)}}{\text{cos(x)}}=\frac{\frac{15}{17} }{\frac{8}{17} }

        =\frac{15}{8}

You might be interested in
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point
anygoal [31]

Complete question is;

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?

Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.

If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.

A) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 < 0

B) H0: μ1 - μ2 = 0

Ha: μ1 < μ2

C) H0: μ1 - μ2 > 0

Ha: μ1 - μ2 = 0

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

E) None of the above

Answer:

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

Step-by-step explanation:

We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.

Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;

It means we want to find out if µ1 > µ2 as the alternative hypothesis.

Thus, alternative hypothesis is;

Ha: µ1 - µ2 > 0

Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.

Thus, null hypothesis is;

H0: μ1 - μ2 = 0

The only correct option is D.

8 0
2 years ago
You have a total of 21 coins, all nickles and dimes. The total value is $1.70 Which of the following is the system of linear equ
olga nikolaevna [1]
You need one equation for the physical nickels and dimes, which total to 21:

n+d=21

Secondly, you need one equation for the numerical value of those nickels and dimes. We know nickels are worth $0.05 and dime are worth $0.10:

.05n+.1d=1.70
7 0
3 years ago
Find the value of x for which ABCD must be parallelogram
Zielflug [23.3K]

Since this is a parallelogram, both bases are equal. You can set them equal to each other to find x:

6+3x=x+14

Subtract x from both sides.

6+2x=14

Subtract 6 from both sides.

2x=8

Divide by 2.

x=4

Hope this helps! :)

3 0
3 years ago
Haruka hiked several kilometers in the morning. She hiked only 6 66 kilometers in the afternoon, which was 25 % 25%25, percent l
zmey [24]

Answer:

Harukah hiked for 14 km in all.    

Step-by-step explanation:

We are given the following in the question:

Hike in afternoon = 6 km

Let Haruka hike x km in the morning.

We are given the relation:

6 = x - 25\%(x) \\\\6 = x - \dfrac{25}{100}\times x\\\\6 = 0.75x\\\\x = \dfrac{6}{0.75}\\\\x = 8

Thus, Haruka hiked for 8 km in the morning.

Total hike length of Harukah =

=6 + 8\\=14\text{ km}

Thus, Harukah hiked for 14 km in all.

7 0
3 years ago
Read 2 more answers
What is the radius of a cone with diameter​ d? An ice cream cone is filled exactly level with the top of the cone. The cone has
trapecia [35]

Answer:

42.39 cm^{2}

Step-by-step explanation:

cone formula: V =\frac{1}{3} \pi r^{2} h

diameter to radius

9 cm to 4.5

1.) V = \frac{1}{3} \pi (4.5^{2}) (6)

2.) = \frac{1}{3}\pi  (20.25)(6)

3.) = \frac{1}{3} 121.5\pi

4.) divide 121.5 by 3

= 13.5\pi

5.) multiply by 3.14

V = 42.39

3 0
3 years ago
Other questions:
  • Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same
    11·2 answers
  • “the product of a number and 3 is the same as the sum of that number and sione half of a number is 8 less than the number itself
    10·1 answer
  • An interior angle of a regular convex polygon is 135°. How many sides does the polygon have? A. 9 B. 8 C. 10 D. 11
    10·2 answers
  • MY QUESTION 43(4x+3)
    7·1 answer
  • Square root of 15 please help me
    10·2 answers
  • I am not sure of the answer on this one.
    11·2 answers
  • 1.Evaluate: 144/16<br><br> 2.Evaluate: 13.5 x 17<br><br> PLSSSS HELP
    5·1 answer
  • Write and solve an equation to find the missing dimension of the prism.
    9·2 answers
  • John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?
    10·2 answers
  • Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret messa
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!