Let the length be x and the width be y.
<u>The perimeter is 18 in.</u>
2 ( x + y ) = 18
x + y = 9
x = 9 - y ----------------------- (1)
<u>The area is 18 in²</u>
xy = 18
x = 18/y . ----------------------- (2)
<u>Sub (1) into (2):</u>
9 - y = 18/y
<u>Multiply by y on both sides:</u>
9y - y² = 18
y² - 9y + 18 = 0
(y - 3)(y - 6) = 0
y = 3 or y = 6
<u>When y = 6</u>
x = 9 - y = 9 - 6 = 3
<u>Find the Length and Width:</u>
Length = x = 6
Width = y = 3
Answer: The length is 6 inches and the width is 3 inches.
Answer:
Equation 0.5 + 1.75(x) = 4
x = 2movies
Step-by-step explanation:
Given that,
movie night will last for 4 hours
each movie take 1.75 hours
time for eating popcorn 0.5 hours
To find,
number of movies which can be watched
<h2>Equation</h2><h2>0.5 + 1.75(x) = 4</h2><h2>Solve for x</h2><h3>1.75(x) = 4 - 0.5</h3><h3>1.75(x) = 3.5</h3><h3>x = 3.5/1.75</h3><h3>x = 2 </h3>
So, total number of movies which could be watched in 4hr = 2
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Answer:
3√15/4
Step-by-step explanation:
sin x = 2/8
- from the trigonometric rule sin²x+cos²x = 1
- cos²x = 1-sin²x
sinx = 2/8
sin²x = (2/8)² = 2²/8² = 4/64
1- sin²x = 1-4/64 = 64 -4/64 = 60/64 = 15/16
cos x = √(15/16) = √15 /4
3 x cos x = 3 x √15/4 = 3√15/4
Answer: 20.2
Add all the angles and set it equal to 180
Combine like terms
20x-2=180
X= 9.1
The equation for v is 2x+2
Replace x with 9.1 and then solve