Use the spinner to find the theoretical probability of the event. A spinner is divided into 6 equal sections. Starting from the
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Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance between the kite and Jacks house, but first we need to find the
,
and then
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For :
(1)
Where is the opposite side to the angle and
the hypotenuse.
Isolating :
(2)
For :
(3)
Where is the adjacent side to the angle.
Isolating :
(4)
Finding :
(5)
(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
The grocery mart offers the best deal on potato’s and price per pound is $0.03 less than Baldwin Hills market.
<em><u>Explanation</u></em>
At grocery mart, a 5 pounds bag of potatoes cost $2.85
So, <u>the unit price of potatoes per pound at grocery mart</u>
Now at Baldwin Hills market, 7 pounds bag of potatoes cost $4.20
So, <u>the unit price of potatoes per pound at Baldwin Hills market</u>
As , that means <u>the unit price of the potatoes per pound at grocery mart is less than the Baldwin Hills market</u>.
So, the grocery mart offers the best deal on potato’s.
The price of the potatoes per pound at grocery mart is less than the price at Baldwin Hills market.