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Alex Ar [27]
3 years ago
14

5. The rectangular pool has an area of 520 square feet. The length of 3

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

z*(z - 3) = 520

Step-by-step explanation:

Use the following representations:

Width:  W  

Length:  L = W + 3, or W = L - 3

Area = L*W = L*(L - 3) = 520

Equation b) is the correct one:  z*(z - 3) = 520

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4 0
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A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it
natima [27]

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, h_o=5\ ft

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

h=-16t^2+vt+h_0

Putting all the values,

h=-16t^2+60t+5 .....(1)

For maximum height, put

\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s

Put t = 1.875 in equation (1)

h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m

So, the maximum height reached by the ball is 61.25 m.

8 0
3 years ago
Point P(−3, −4) is rotated 90° counterclockwise about the origin. What are the coordinates of its image after this transformatio
Neporo4naja [7]
Counter clockwise means it goes backwards so -90°

After the 90° counter clockwise rotation the coordinates are (4,-3)

7 0
4 years ago
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A man tied a rope to the top of a tree, which is 'x' m tall. The other end of the rope was tied to
Monica [59]

Answer:

(x+16)^2=20^2+x^2

Step-by-step explanation:

Given there was no bending of the tree, the Pitagorean Theory would help finding the value of the trees hight.

x^2+32x+16^2=400+x^2

32x=(20-16)×(20+16)

x=144/32

x=4m and 50cm

4 0
4 years ago
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