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
Kazeer [188]
3 years ago
7

Forgot to do this over winter break. Its due tomorrow and I haven't used my brain for 2 weeks. HELPPP (may have to zoom in)

Mathematics
1 answer:
ANEK [815]3 years ago
8 0
1. 60,30,90 right triangle. y will be hypotenuse/2, x will be
hypotenuse*sqrt(3)/2. So x = 16*sqrt(3)/2 = 8*sqrt(3), approximately 13.85640646 
y = 16/2 = 8  
2. 45,45,90 right triangle (2 legs are equal length and you have a right angle).
X and Y will be the same length and that will be hypotenuse * sqrt(2)/2. So 
x = y = 8*sqrt(2) * sqrt(2)/2 = 8*2/2 = 8 
 3. Just a right triangle with both legs of known length. Use the Pythagorean theorem 
x = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13  
4. Another right triangle with 1 leg and the hypotenuse known. Pythagorean theorem again. 
y = sqrt(1000^2 - 600^2) = sqrt(1000000 - 360000) = sqrt(640000) = 800  5. A 45,45,90 right triangle. One leg known. The other leg will have the same length as the known leg and the hypotenuse can be discovered with the Pythagorean theorem.  x = 6. y = sqrt(6^2 + 6^2) = sqrt(36+36) = sqrt(72) = sqrt(2 * 36) = 6*sqrt(2), approximately 8.485281374  
6. Another 45,45,90 triangle with the hypotenuse known. Both unknown legs will have the same length. And Pythagorean theorem will be helpful. 
x = y. 
12^2 = x^2 + y^2 
12^2 = x^2 + x^2 
12^2 = 2x^2 
144 = 2x^2 
72 = x^2 
sqrt(72) = x 
6*sqrt(2) = x 
x is approximately 8.485281374  
7. A 30,60,90 right triangle with the short leg known. The hypotenuse will be twice the length of the short leg and the remaining leg can be determined using the Pythagorean theorem. 
y = 11*2 = 22. 
x = sqrt(22^2 - 11^2) = sqrt(484 - 121) = sqrt(363) = sqrt(121 * 3) = 11*sqrt(3). Approximately 19.05255888  
8. A 30,60,90 right triangle with long leg known. Can either have fact that in that triangle, the legs have the ratio of 1:sqrt(3):2, or you can use the Pythagorean theorem. In this case, I'll use the 1:2 ratio between the unknown leg and the hypotenuse along with the Pythagorean theorem. 
x = 2y 
y^2 = x^2 - (22.5*sqrt(3))^2 
y^2 = (2y)^2 - (22.5*sqrt(3))^2 
y^2 = 4y^2 - 1518.75 
-3y^2 = - 1518.75 
y^2 = 506.25 = 2025/4 
y = sqrt(2025/4) = sqrt(2025)/sqrt(4) = 45/2 
Therefore: 
y = 22.5
 x = 2*y = 2*22.5 = 45  
9. Just a generic right triangle with 2 known legs. Use the Pythagorean theorem. 
x = sqrt(16^2 + 30^2) = sqrt(256 + 900) = sqrt(1156) = 34  
10. Another right triangle, another use of the Pythagorean theorem. 
x = sqrt(50^2 - 14^2) = sqrt(2500 - 196) = sqrt(2304) = 48
You might be interested in
What number is being distributed in the following problem: -(6x -2)
kotegsom [21]

Answer:

2

Step-by-step explanation:

ya

6 0
2 years ago
There is a bag of marbles with 7 blue marbles, 7 yellow marbles, and 7 red marbles. You are going to choose one marble at random
arsen [322]

(Since there are no options to chose from, I guess I'll just do my own answer and you'll have to pick the closest one to this one. Or, you could comment the options and I could help you there too.)

Answer:

Yes, the outcomes are likely because there is an equal number of each type of marble.

Step-by-step explanation:

Since there is an equal number of each color of marble, the outcomes of the event are equally likely. If there were more of one marble, it would be unlikely.

For example, if there were 7 blue marbles, 7 red marbles, but there were 8 yellow marbles, then the event would be unequally likely because there were more of the yellow marbles.  So the answer is yes, the outcomes are equally likely.

It would be FANTABULOUS if I could get BRAINLIEST!!!!!!!

Have a great day!! ;p

5 0
2 years ago
Respond to this for 5 points! I know it's not that much but just respond anything you want <3
Marrrta [24]
Erm hi give me brainlyest for no reson

8 0
3 years ago
Read 2 more answers
Open the picture and answer it pls
Nastasia [14]

Answer:

3.5

Step-by-step explanation:

11.5 - 2.5 = 9

9 - 5.5 = 3.5

and scalene triange means none of the 3 sides are equal...

3.5 does not equal 5.5 or 2.5

3 0
2 years ago
Read 2 more answers
THANK YOU FOR ANSWERING
anyanavicka [17]

divide the points by the multiplier 1.9

 so 3.8 /1.9 =2

 the base score was 2.0

4 0
3 years ago
Other questions:
  • A bookstore costs $90 a day to keep open, and it spends $13 for each book-
    15·1 answer
  • The sum of a rational number and an irrational number
    10·2 answers
  • Solve: -4x+15+6x-25=2
    15·1 answer
  • Find the indicated term of the geometric sequence. a8 for 4, -12, 36, ...
    9·2 answers
  • Nine tenths of a sum a money 2.70find the sum of money
    15·1 answer
  • An arithmetic progression has first term 11 and Fourth term 32. Fine the sum of the first nine term
    13·2 answers
  • Answer this question please and thank you
    11·2 answers
  • 5+4p&gt;-75<br> A. P &gt; 20<br> B. P &lt; 15<br> C. P &gt; -20<br> D. P &gt; 15
    5·1 answer
  • I don’t think you really see it but if you can please help me I’m to lazy
    14·1 answer
  • I need help, i’m really bad at math lol
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!