Answer:
Step-by-step explanation:
step 1
Find the measure of angle B
Applying the law of sines
substitute the given values
step 2
Find the measure of angle C
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
substitute the given values
step 3
Find the length side of c
Applying the law of sines
substitute the given values
Answer:
57
Step-by-step explanation:
Because side BD is similar to side BA
triangle BCD seems to be double the size of triangle BAD
By finding the side lengths of the missing sides BC and CD you can get the perimeter.
Because we know the triangle is double the size you can double the lengths of AD and BD to get 24 and 18, if you add 6,9,24, and 18. You will get 57.
Answer:
3.52 × 10⁸
Step-by-step explanation:
Scientific notation is written in: Number that is in the ones place × 10^power.
Here, the number is 3.52, since 3 has the largest placement.
The power on the 10 should be the number of 0's on 352,000,000/3.52. That is 100,000,000. That number has 8 0's, so the power is to the 8th.
Putting that together, this number in scientific notation in 3.52 × 10⁸.
Answer:
The number of adult tickets are 33 and the number of student tickets are 21 .
Step-by-step explanation:
As
The number of adult tickets x and the number of student tickets y.
As given
A carnival sold tickets for $1.50 for adults and $1.00 for students.
There were 54 tickets sold for a total of $70.50.
Equations becomes
x + y = 54
1.50x + 1.00y = 54 × 70.50
Simplify the above
150x + 100y =7050
Two equations are
x + y = 54
150x + 100y =7050
Multiply x + y = 54 by 150 from 150x + 100y =7050
150x - 150x + 100y - 150y = 7050 - 8100
-50y = -1050
50y = 1050
y = 21
Putting the value of y in the equation .
x + 21 = 54
x = 54 - 21
x = 33
Therefore the number of adult tickets are 33 and the number of student tickets are 21 .