Answer:
a) A triangle which the angles ratio is 1 : 2 : 3 is a 30º - 60º - 90º right triangle.
b) The shortest side is opposite to the shortest angle. So, we can calculate it using sin 30º.
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio, 1 + 2 + 3 = 6 parts
Divide 180° ( sum of angles in a triangle ) by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio, thus
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Thus the triangle is right
-----------------------------------------
(b)
The sides of a 90°- 60°- 30° triangle are in the ratio
2 - - 1 ( where 2 represents the hypotenuse )
Thus the other 2 sides of the triangle are
19 ÷ 2 = 9.5 , and
9.5 × ≈ 16.45
The shortest side is 9.5
Answer:
As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.
⇒Let number of tickets Employees have x and Number of ticket Listeners have 4x
It is also, given that a radio station had 205 ticket to a concert.
⇒
Then, substitute the given values we have;
Combine like terms, we have;
Divide both sides by 5 we have;
x = 41
Therefore, number of tickets did they give away to employees have 41 tickets
Answer:
$57
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done =
Number of hours taken for walking dogs =
Earnings for hours for washing cars = Per hour earnings multiplied by number of hours = $9
Earnings for hours for walking dogs = Per hour earnings multiplied by number of hours = $6
Total earnings by both = $()
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 5 + 6
2 = <em>$57</em>