Mr. Jamison will stain the deck in his backyard.The deck has an area of 752.4 square feet.If the deck is 33 feet long, how wide
2 answers:
Answer: The width of the deck is 22.8 feet.
Step-by-step explanation:
Since we have given that
Area of the deck = 752.4 square feet
Length of deck = 33 feet
Let width of deck be 'x'.
Since Deck is in the shape of rectangle.
As we know the formula for "Area of rectangle ":
Hence, the width of the deck is 22.8 feet.
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Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ =
t=2. That means after 2 sec. the arrow reach the maximum height
Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as and we have to find the extraneous solution of the equation.
Now, ............. (1)
⇒
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,
Again, putting x = 7 in the equation (1) we get,
Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)