Hence the sum of the finite Arithmetic series is: 24.4
7x=3x+12
move the x to one side of the equation (subtract 3x from each side of the equation)
4x=12
get x alone (divide each side of the equation by 4)
x=3
For the given triangle, x = 16 units.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 60°. The adjacent side has a length of 8 units while the hypotenuse of the triangle measures x units. To calculate the cos of angle A we divide the length of the adjacent side by the length of the hypotenuse.
cos A
Step 2:
The length of the adjacent side = 8 units.
The length of the hypotenuse = x units.
So the hypotenuse of the given triangle measures 16 units. x = 16 units which is the third option.
Answer:
A)
B) 864 feet
Step-by-step explanation:
The bee has been away for a total of 17 minutes from the hive but since it rested at the flowerbed for 13 minutes, the total travel time is 17-13 = 4 minutes. Since units are expressed in feet per second, we have to convert 4 minutes to seconds which works out to 240 seconds
The basic equation for distanced traveled by an object traveling at speed of s is given by d = st where t is the time taken to traverse distance d
Alternatively we can write this equation as
Travel time from hive to flowerbed at 9 feet/sec = seconds
Travel time from flowerbed to hive at 6 feet/sec = seconds
Total travel time is the sum of the above and can be expressed by the equation
( Answer A)
To solve this equation multiply by the least common multiple of 9 and 6 which is 18
2d + 3d = 4320 seconds
d = 4320/5 = 864 feet (Answer B)
To solve this equation multiply by the least common multiple of 9 and 6 which is 18
We can verify our answer using the distance computed
Total travel time = 864/9 + 864/6 = 96 + 144 =240 which matches our equation and resultant value