Answer:
length=8+w........1
area=84square feet........2
area of rectangle =length x width
area=(8+w)x W
area=8w+w^2
84=8w+w^2
w^2+8w+(4^2)=84+(4^2)
(w+4)^2=84+16
(w+4)^2=100
√(w+4)^2=√100
w+4=±100
w+4=100 or w+4=-100
w=96 or w=-104
the answer is <u>9</u><u>6</u>
The telescope the cliff and the eagle will from a right tingle as you can see in the picture. The distance between the base of the cliff an the telescope will be the adjacent side of the elevation angle.
The opposite side of the elevation angle will be the height of the cliff 1.3 meters above the ground.
Now, to find the opposite side,
, of our elevation angle, we are going to use the trig function tangent:
Finally, we are going to add the height of the telescope and the height of the cliff above the ground:
We can conclude that the eagle is 91.9 meters above the ground; therefore, the correct answer is <span>
B 91.9 m</span>
Answer:
The 63rd Term Is 309
Step-by-step explanation:
Answer:
121°
Step-by-step explanation:
The angle with measure x is an exterior angle of the triangle.
The angles measuring 90° and 31° are the remote interior angles to the exterior angle.
<em>Theorem:</em>
<em>In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.</em>
x = 31 + 90
x = 121°
Answer:
$32
Step-by-step explanation:
Given : you could make $8 an hour for four hours of work and you also spend about $25 each time you go to the arcade
To Find : what is the opportunity cost of going to the arcade on Saturday night
Opportunity cost is the value of something when a particular course of action is chosen. the opportunity cost is what you must forgo in order to get something.
So,the cost what you must forgo in order for going to arcade is the opportunity cost.
Since you make make $8 an hour
So, for four hours of work you make = 8*4 = $32
Hence the opportunity cost is $32