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
andrew11 [14]
2 years ago
7

PLEASE HELP ME PLEASEE!

Mathematics
1 answer:
Sever21 [200]2 years ago
3 0

Step-by-step explanation:

13)

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides (a, b, c) are always opposite to the correlated angles (A, B, C).

12/sin(90) = DC/sin(47)

12/1 = DC/sin(47)

DC = 12×sin(47) = 8.776244419... ≈ 8.8

14)

so, we have a right-angled triangle.

the ladder (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle). the ground distance (17 ft) of the ladder to the wall and the height on the wall are the legs.

first let's get the third side (the height in the wall) by using Pythagoras :

c² = a² + b²

c being the Hypotenuse.

20² = 17² + height²

400 = 289 + height²

height² = 111

height = sqrt(111) = 10.53565375... ft

now, again the law of sine :

20/sin(90) = sqrt(111)/sin(angle)

20 = sqrt(111)/sin(angle)

sin(angle) = sqrt(111)/20 = 0.526782688...

angle (ladder with ground) = 31.78833062...° ≈ 32°

15)

cos > 0 and csc < 0.

as csc = 1/sin, this means sin < 0.

sin (and therefore csc) is negative only in the 3rd and 4th quadrant.

cos is positive in the 1st and the 4th quadrant.

so, the answer is the 4th quadrant (bottom right).

16)

tan(315) = sin(315)/cos(315)

315° = 360 - 45 = 270 + 45

so, this is half of the 4th quadrant, and that means

sin(315) = -cos(315) (sine of 45° = cosine of 45°).

tan(315) = -cos(315)/cos(315) = -1

You might be interested in
What is the greatest common factor of the two expressions?<br> 7a^2<br> 8a^3b^2
Andreyy89

Answer:

a²

Step-by-step explanation:

(see attached for reference)

We can find GCF by expressing each expression into their prime factors

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:

7a² = 7 x <em>a x a</em>

8a³b² = 8 x <em>a x a</em> x a x b x b

Hence the greatest common factor is a x a = a²

6 0
3 years ago
A rectangular prism with a length of 5 centimeters, height of 3 centimeters, and width of 4 centimeters. The rectangular prism s
sveta [45]

Answer:

94cm squared

Step-by-step explanation:

you find the area of each side by doing base times height and you add the six of them all together to get your answer

3 0
3 years ago
Read 2 more answers
What is the measurement for M N O
Strike441 [17]

Answer:

11 hours ago - What is the measurement for M N O. Ask for details; Follow; Report ... 14) 5x + 6y = -8 -2x + 8y = 24 My question is: When Im solving by ...

Step-by-step explanation:

6 0
3 years ago
Write a function rule for the situation: the length l(w) of a box that is two more than four times the width w.
dlinn [17]
The length is going to equal four times the width plus two, as the situation states.

L(w) = 4w + 2
6 0
3 years ago
Read 2 more answers
There are a total of 65 toes in the pool. How many feet<br> are in the pool?<br> Please HELPP
Alekssandra [29.7K]

Answer:

13 feet in the pool

Step-by-step explanation:

Just divide 65 toes by 5 toes which are in one foot and boom, done

7 0
2 years ago
Other questions:
  • Solve for k. <br><br><br> 9(3-2x)=2(10-8x)
    14·1 answer
  • In an endurance race, Rachel ran
    15·1 answer
  • A laboratory technician needs to make a ​81-liter batch of a ​20% acid solution. How can the laboratory technician combine a bat
    12·1 answer
  • Solve the inequality 25x + 12y + 4 &lt;= 130
    10·1 answer
  • Which is the graph of f(x) = 4^x?
    9·2 answers
  • 3 ( 8m+5) = 4 (6m+7)-13
    9·1 answer
  • Jay made 8 of 10 free throws. Kim made 25 of 45. Who made free throws at the better rate, and how do you know?
    6·1 answer
  • Find x Round to the nearest tenth
    11·1 answer
  • How do economists measure a nation's standard of living
    14·1 answer
  • The science club is going to the space museum. The club consists of 27 students.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!