The unsimplified answer is 15/50. The answer simplified is 3/10.
equation/how to solve=
there are 50 circus performers total. (15 magicians + 35 performers) so that would be 15 magiciand over 50 performers (15/50)
to simplify... 5 goes into 15 3 times, and 5 goes into 50 ten times. (3/10)
Hope this helped you out!
Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
<h3>16</h3>
By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
- ,
- The opposite side of angle A ,
- The angle C is to be found, and
- The length of the side opposite to angle C .
.
.
.
Note that the inverse sine function here is also known as arcsin.
<h3>17</h3>
By the law of cosine,
,
where
- , , and are the lengths of sides of triangle ABC, and
- is the cosine of angle C.
For triangle ABC:
- ,
- ,
- The length of (segment BC) is to be found, and
- The cosine of angle A is .
Therefore, replace C in the equation with A, and the law of cosine will become:
.
.
<h3>18</h3>
For triangle ABC:
- ,
- ,
- , and
- Angle B is to be found.
Start by finding the cosine of angle B. Apply the law of cosine.
.
.
.
<h3>15</h3>
For triangle DEF:
- The length of segment DF is to be found,
- The length of segment EF is 9,
- The sine of angle E is , and
- The sine of angle D is .
Apply the law of sine:
.
Answer:
Second choice, 11/30
Step-by-step explanation:
38 + 22 = 60
He flipped tails 22 times out of 60 tries, so it's 22/60
Simplify with 2 and it's 11/30
So covert 4 minutes to seconds. Which would be 4 times 60 which would mean there would be 240 seconds. So you would multiply 15 x 240 = 3,600 feet. Then multiply 22 x 240 = 5,280 feet. 5,280 - 3,600 = 1,680 feet.
ANSWER:
Skateboarder B will have traveled 1,680 more feet over 4 minutes.
The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)
<h3>What is a line segment?</h3>
A line segment is formed by joining two points by a straight line.
Analysis:
The coordinates of point B(x,y) are gotten by the formula
x =
y =
where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B
are the values of the ratio p:q.
x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3
x = = 3.25
y = = 2.75
coordinates of B are ( 3.25, 2.75)
In conclusion, the coordinates of point B are (3.25, 2.75)
Learn more about line segment : brainly.com/question/2437195
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