Answer:
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
Answer:
V = 904.32cm3
Step-by-step explanation:
V = r*r*pi*h
= 6*6*3.14*8 = 904.32cm3
Answer:
the value of x is 13 because 2 times 13 equals 26 and 26 plus 6 equals 32.
Put all numbers in smallest to largest order
if there are an odd number of results, the median is in the middle
if there even, then its the mean of the two central numbers
Answer:
m<A = 120°
m<C = 45°
Step-by-step explanation:
We can use the triangle sum theorem to find the measures of the angles.
m<A + m<B + m<C = 180°
Then substitute in their given values.
12x + 12 + 15 + 3x + 18 = 180°
Now simplify the equation and you get
15x + 45 = 180°
Continue to solve
15x = 135
x = 9°
Now substitute this value of 9 for the angle expressions of <A and <C
(12 x 9) +12 = m<A
m<A = 120°
(3 x 9)+ 18 = m<C
m<C = 45°
Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.