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
slamgirl [31]
1 year ago
6

Find the indicated angle or side. Give an exact answer. Find the measure of angle A in degrees.

Mathematics
1 answer:
Anna35 [415]1 year ago
8 0

Step-by-step explanation:

law of cosine :

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of C.

so, in our case

3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)

0 = 3²×3 - 18×sqrt(3)×cos(A)

27 = 18×sqrt(3)×cos(A)

cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =

= 0.866025404...

A = 30°

FYI : since it is an isoceles triangle, C = A = 30°.

and therefore B = 180 - 30 - 30 = 120°.

as the sum of all angles in a triangle is always 180°.

You might be interested in
A certain​ country's postal service currently uses 55​-digit zip codes in most areas. how many zip codes are possible if there a
VashaNatasha [74]
There would be 100,000 if there are no restrictions on the digits and 90,000 if they cannot use 0 as the first digit.

If there are no restrictions, there are 10 possibilities for each digit:
10(10)(10)(10)(10) = 100,000

If the first digit cannot be 0, there are 9 possibilities for it and 10 possibilities for each of the other 4:
9(10)(10)(10)(10) = 90,000
8 0
3 years ago
There are 10 children in a class and 2 of them choose to read a books so what is the probability that a randomly selected presch
kiruha [24]

Answer: a 20% chance

Step-by-step explanation:

All you need to do is 2/10 = .2 = 20%

We do this because if 2 chose to read and there are 10 kids.

8 0
3 years ago
What is the length of one side of a truangle with 2 sides that equal 30
jarptica [38.1K]

Answer:15

Step-by-step explanation:

If the two sides equal 30 then you just divide that by 2 and get your answer 15

4 0
3 years ago
Read 2 more answers
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
PLEASE HELP By what percent will a fraction change if its numerator is decreased by 60% and its
belka [17]

This is your Answer...

<em>Hope</em><em> it</em><em> helps</em><em> you</em><em>.</em><em>.</em><em>.</em><em> </em><em>pls</em><em> mark</em><em> brainliest</em>

4 0
3 years ago
Other questions:
  • Please help with this
    10·2 answers
  • When you divide any number by a fraction less than one what happens to the original number
    8·1 answer
  • In a study of towns, there was a positive correlation between the number of mail boxes and number of traffic lights in a town.
    12·2 answers
  • I need help with the bottom part.
    10·1 answer
  • Help me on that question someone please?
    10·1 answer
  • | y-5) = 45<br> how you find y ?
    11·2 answers
  • 1. Bobby looks in his wallet and sees that he has 2 twenty dollar bills and 1 ten dollar bill. He goes to the store and the chec
    13·2 answers
  • PLS HELP ME FIND MEASURE AED
    15·1 answer
  • Evaluate the expression when c=6 and d=5.<br> d+ 8c
    6·1 answer
  • What is john locke's ideas that affected government?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!