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
goblinko [34]
2 years ago
10

Need help simple explanation if possible

Mathematics
2 answers:
RideAnS [48]2 years ago
6 0

Angle B = 30°

Angle A = 60°

Step-by-step explanation:

There are a few ways you can find this. I'll use sine rule to find angle B then 180° minus the 90° + angle B to get angle A.

Using Sine Rule:

(Sin90)/12 = SinB/6

Multiply both side by 6 to get SinB by itself

(6Sin90)/12 = SinB

Send the sine across the equal sign to get B by itself

Sin becomes Sine Inverse (Asin or Sin-1)

Sin-1 (6Sin90/12) = B

Therefore B = 30° (from calculator)

Since the sum of interior angles in a triangle is 180°

it is safe to say:

Angle A + Angle B + Angle C = 180°

substitute in Angle B and C to find for A

Angle A + 30° + 90° = 180°

Angle A + 120° = 180°

Minus 120° from both side to get Angle A by Itself

Angle A = 180° - 120°

Angle A = 60°

photoshop1234 [79]2 years ago
4 0

Answer:

m < A = 60º

m < B = 30º

Step-by-step explanation:

The given sides on this triangle are: 6, 6\sqrt{3}, and 12

Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:

x, x\sqrt{3}, 2x

We can line this up with the given sides. If x is 6, then 2x would be 12.

x : x\sqrt{3} : 2x = 6 : 6\sqrt{3} : 12

Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.

m < B = 30º

Solving for < A:

Method 1) Sum of Angles in a Triangle

Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.

180º - 90º - 30º = 60º

m < A = 60º

Method 2) Using the second part of the proportion

Since m < A is across from the second largest side, we know that it is equal to x\sqrt{3} (6\sqrt{3} in this question) or 60º in the angle proportion.

This means that m < A = 60º

Let me know if you have any questions!

You might be interested in
I will give out brainliest tell me the reason 2
Rashid [163]

Answer:

D bc you keep going up by 60m/1hr

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP ME ANSWER ASAP!
Blizzard [7]
Either twice or more than twice. But I’d go with twice
8 0
3 years ago
Read 2 more answers
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form.
Pachacha [2.7K]

Answer:

\sqrt{93}

Step-by-step explanation:

8^2+5^2=c^2

64+25=c^2

89=c^2

c=\sqrt{89} <-- this is the length of the rectangle at the bottom

2^2+(\sqrt{89})^2=c^2

4+89=c^2

c=\sqrt{93}  <-- length of dotted line (diagonal)

6 0
3 years ago
Read 2 more answers
I need some help with this, please explain well. It's Trigonometry with right triangles, please let me know if you need a better
andreyandreev [35.5K]

Answer:

x = 12

Step-by-step explanation:

First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.

Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.

Next get x alone by making the equation: x=tan^-1(5/23).

Then put it into the calculator and round to get 12.

5 0
3 years ago
Doctors can use radioactive chemicals to treat some forms of cancer. The half life of a certain chemical is 7 days. A patient re
RoseWind [281]

Answer:

5 millicuries

Step-by-step explanation:

Half life is 7 days which means it will be at 10 millicuries if we half that again for another 7 days then it will be 5.

6 0
3 years ago
Other questions:
  • Which graph represents the function y=(x+3)^2+1?
    11·1 answer
  • A pack of 6 batteries of the same type cost ?2.79 . By calculating the price per battery,determine if this is better value.You m
    14·1 answer
  • How do you find direct variation? im having trouble understanding this subject
    11·1 answer
  • Which of the following are exterior angles? Check all that apply
    9·2 answers
  • There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and t
    13·2 answers
  • Module 1 Lesson 8 problem set geometry
    11·1 answer
  • MARY is making pillows for her new office. She bought 2 1/2 yards of fabric. Her
    15·1 answer
  • Subtract 4/9 and 1/5 in the simplest form
    10·2 answers
  • How many times larger is the value 250,000 then 250
    15·2 answers
  • Can get a little help
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!