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
LiRa [457]
3 years ago
9

Find x a) 21 √2 b)7 c)21 √2/2 d)21 √3/2

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos45° = \frac{1}{\sqrt{2} } , thus

sin60° = \frac{opposite}{hypotenuse} = \frac{opp}{7\sqrt{3} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2 × opp = 21 ( divide both sides by 2 )

opp = \frac{21}{2}

Now consider the right triangle on the right, using the cosine ratio

cos45° = \frac{adjacent}{hypotenuse} = \frac{\frac{21}{2} }{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = \frac{21}{2} × \sqrt{2} = \frac{21\sqrt{2} }{2} → C

You might be interested in
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the sc
zubka84 [21]

Answer:

b.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

8 0
4 years ago
Help me with this question ​
enot [183]

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

4 0
3 years ago
100 POINTS! I WILL GIVE BRAINLIEST! SHOW ALL WORK PLEASE!
pishuonlain [190]

Answer:

1. 2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. 2(4x+1)(2x−5)

4. 4(2x+1)(2x+7)

5. 5(3x+1)(2x−5)

6. 3(3x−7)(2x+1)

7. 3(5x+3)(3x−2)

8. 2(7x−2)(2x−5)

9. 2(7x−3)(2x−3)

10. 4(5x−11)(2x+1)

11. 5(x−2)(x+12)

12. (x−1)(x−8)

15. x=1 or x=4

Step-by-step explanation:

1. Factor 12x2−26x+12

12x2−26x+12

=2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. Factor 16x2−36x−10

16x2−36x−10

=2(4x+1)(2x−5)

4. Factor 16x2+64x+28

16x2+64x+28

=4(2x+1)(2x+7)

5. Factor 30x2−65x−25

30x2−65x−25

=5(3x+1)(2x−5)

6. Factor 18x2−33x−21

18x2−33x−21

=3(3x−7)(2x+1)

7. Factor 45x2−3x−18

45x2−3x−18

=3(5x+3)(3x−2)

8. Factor 28x2−78x+20

28x2−78x+20

=2(7x−2)(2x−5)

9. Factor 28x2−54x+18

28x2−54x+18

=2(7x−3)(2x−3)

10. Factor 40x2−68x−44

40x2−68x−44

=4(5x−11)(2x+1)

11. Factor 5x2+50x−120

5x2+50x−120

=5(x−2)(x+12)

12. Let's factor x2−9x+8

x2−9x+8

The middle number is -9 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -9

Multiply together to get 8

Can you think of the two numbers?

Try -1 and -8:

-1+-8 = -9

-1*-8 = 8

Fill in the blanks in

(x+_)(x+_)

with -1 and -8 to get...

(x-1)(x-8)

15. Let's solve your equation step-by-step.

(x−2)(x−3)=2

Step 1: Simplify both sides of the equation.

x2−5x+6=2

Step 2: Subtract 2 from both sides.

x2−5x+6−2=2−2

x2−5x+4=0

Step 3: Factor left side of equation.

(x−1)(x−4)=0

Step 4: Set factors equal to 0.

x−1=0 or x−4=0

x=1 or x=4

Sorry I wasn't able to do 13 and 14 but hope this helps! :)

8 0
4 years ago
What is the volume?<br> 1 mm<br> 1 mm<br> 1 m
vodomira [7]

Answer:

volume equals length times width times height

Step-by-step explanation:

4 0
3 years ago
Solve for the equation...
Colt1911 [192]

Answer:

(4 , 1)

Step-by-step explanation:

Intersecting point of the two lines  give the solution for the equations.

(4 , 1)

8 0
3 years ago
Other questions:
  • The answer to 8 more stripes than a number h
    6·2 answers
  • 1+3848438383 so what is the answer
    7·2 answers
  • Use the unit price to find the total price.8 gallons at $1.94 per gallon
    7·1 answer
  • Tyron has 27 playlists on his iPod. Each playlist contains 35 songs. How many songs does Tyron have on all of his playlists?​
    9·1 answer
  • I need help with number 8
    8·1 answer
  • ‼️‼️BRAINLIEST AND 90 POINTS‼️‼️(a) Suppose a car is traveling north on "a" street and turns left onto Main Street. Which angle
    15·1 answer
  • The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe
    12·1 answer
  • Can someone help me with this? #1 first please
    8·1 answer
  • What would the altimeter read if Janelle were at sea level? What do the positive readings on the altimeter represent? What do th
    12·1 answer
  • A QUESTION ON A PROFICIENCY TEST IS MULTIPLE CHOICE WITH 4 POSSIBLE ANSWERS, 1 OF WHICH IS CORRECT. ASSUMING THAT ALL RESPONSES
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!