Answer:
An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.
Step-by-step explanation:
Given,
first term(a)=17
common difference (d)=t2-t1
=12-17
=-5
nth term of the arithmetic sequence = a+n×d
=17+n×-5
=17-5n
We are given that there are 11 animals with a total of 34 legs.
Let G = number of Goats, and D = number of Ducks
then G + D = 11; solving for G, we get G = 11 - D
then, 4G + 2D = 34
substituting the value for G, we get 4(11 - D) + 2D = 34
expanding, we get 44 - 4D + 2D = 34
solving, we get D = 5. Therefore, G = 6
Proof: (5 x 2) + (6 x 4) = 34
Answer:
x=1
Step-by-step explanation:
Simplify:
24x-12=12
add 12 on both sides:
24x=24
divide both sides by 24
x=1
Hope this helps!
Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a straight segment that is 80 feet long.Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot. sin(θ) = opposite/hypotenusesin(46°) = y/80y = 80sin(46°)plug this in you calculator to get y = 58 feet
