Answer:
12.4
Step-by-step explanation:
The distance between (7,21) and (-5,18)
d =sqrt( (-5-7)^2 + (18-21)^2)
= sqrt(( -12)^2 + (-3)^2)
= sqrt(144+9)
= sqrt(153)
=12.36931688
To the nearest tenth
12.4
Answer:
#7 is x = 51
#8 is x = 9
Step-by-step explanation:
#7 walk-through
35 + 2x + 16 + 4x + 3 = 360
35 + 16 + 3 + 2x + 4x = 360
54 + 6x = 360
6x = 306
x = 51
#8 walk-through
6x + 2 = 56
6x = 54
x = 9
Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>
Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.
Therefore, the height of the kite form the ground can be found as follows;
sin 33° = opposite / hypotenuse
sin 33° = h / 75
cross multiply
h = 75 × sin 33
h = 40.8479276261
h = 40.84
The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft
learn more on right triangles here: brainly.com/question/25799394
Answer:
Step-by-step explanation:
The general exponential function is,
The points given in the table are,
Putting 
in the general equation, we get
And
Putting the value of a,
Now the exponential function becomes,
The third one is correct.
