Answer:
Step-by-step explanation:
Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
<u>Answer:</u>
Angle A = 39°
<u>Step-by-step explanation:</u>
We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.
But first we need to find the side b using the law of cosine:
Now finding angle A using law of cosine:
Therefore, the measure of angle A = 39°.
Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
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<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
