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
kramer
4 years ago
7

Solve the right triangle ABC with right angle C if B=30 degrees and c=10.

Mathematics
2 answers:
garri49 [273]4 years ago
4 0
<span>aâ‰8.6602, b=5, A=60 degrees Let's calculate the lengths of the sides and angles and see what option fits. Since the sum of the angles in a triangle equals 180 and we known 2 of the angles, let's calculate angle A first. A = 180 - 90 - 30 = 60 Now for side b. This is a 30/60/90 triangle. The side opposite B is half the length of c since if you were to reflect the triangle across side a, you would have an equilateral triangle. So b is 10/2 = 5. And finally, since we have a right triangle, we can use the Pythagorean theorem to get the remaining side a. So a = sqrt(10^2 - 5^2) = sqrt(100 - 25) = sqrt(75) = 5*sqrt(3) ≠8.660254038 And of the available choices, only the last one matches which is aâ‰8.6602, b=5, A=60 degrees As a side note, the last option comes close, but isn't entirely correct since the properly rounded value for a should be 8.6603, not 8.6602.</span>
kenny6666 [7]4 years ago
3 0
C=10, C=90°, B=30°, A+B+C=180°
A+30°+90°=180°⇒A=60°

cos30°=a/c
cos30°=a/10⇒a=cos30°*10
a<span>≃8.6602


c²=a²+b²⇒b²=c²-a²
b²=10²-8.6602²⇒b²=25
b=5
</span>
You might be interested in
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
soldier1979 [14.2K]

Answer:

The answer is 6x^2+9x-15

3 0
4 years ago
Read 2 more answers
Please help!! question is in the image below
Phantasy [73]

Answer:

s/8 = -8

s = - 64

Step-by-step explanation:

Solution

s/8 - 12 = -20                      Add 12 to both sides

s/8 -12+ 12 = -20+ 12          Combine

s/8 = - 8                              Multiply both sides by 8

8*s/8 = - 8*8            

s = - 64

3 0
2 years ago
How to simplify 4r + 4s + 3r + 3s + 5p
ratelena [41]

Answer: 7r + 7s + 5p

Step-by-step explanation: mr. shrek, im a big fan *debbie ryan smailes*

(^///^)

8 0
3 years ago
Read 2 more answers
One quarter of a number increased by one half of the same number is twelve HELP plz
Mandarinka [93]

Answer: 1/4x + 1/2x = 12

x = 16

Step-by-step explanation: combine the 1/4x and 1/2x to 3/4x because they are like terms then divide 12 by 3/4 or 0.75 to get 16

5 0
3 years ago
The Pythagorean Theorem can only be used with which type of triangle?
valkas [14]
Right triangle because  a2<span> + b</span>2<span> = c</span><span>2</span>
4 0
3 years ago
Other questions:
  • Given: ∠TUW ≅ ∠SRW; RS ≅ TU Prove: ∠RST ≅ ∠UTS Complete the paragraph proof: It is given that ∠TUW ≅ ∠SRW and RS ≅ TU. Because ∠
    9·2 answers
  • A store is selling five cans of tomato sauce for $5.25. What is the unit price? unit price = total price ÷ number of units per p
    6·1 answer
  • The circumference of a coin is 8π What is the radius? What is the diameter?
    13·2 answers
  • Factor 2x^3+6x^2-8x-24
    6·1 answer
  • Majel is making batches of trail mix. Each batch uses 3/4 cup of granola. How many batches of trail mix can Majel make from 6 1/
    6·1 answer
  • Stan has 2 3/4 pounds of oranges,1 1/3 pounds of lemons , and 1 3/4 pounds of limes.How many pounds of fruit does stan have in a
    7·1 answer
  • I need help fast 17 points please help​
    12·1 answer
  • Claire earned a total of $10 for 2 hours of yard work. Then, later in the year, she earned $15
    6·1 answer
  • What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
    9·1 answer
  • Someone please help. Giving brainliest!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!