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tensa zangetsu [6.8K]
3 years ago
15

A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to

fill the swimming pool is 2304 cubic feet. Find the dimensions of the pool.
The smaller dimension of the pool is____ft and the larger dimension is____ft
Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

<h2> length= 42, width=12, depth=8</h2>

Step-by-step explenation:

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9.01 prove that the two circles are similar
il63 [147K]

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.  

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

so

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A  

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A  

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

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What is the equation of a line that passes through point ( 6, 18 ) and has a y-intercept of -2
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Step-by-step explanation:

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The probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slap shot would y
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We know that the probability of a certain hockey player making a goal after hitting a slap shot is \frac{1}{5}.

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Since the player is able to make a goal once out of 5 attempts. Therefore, in order to find the number of goals that we can expect the player to make successfully if she attempts 120 slap shots we will multiply the probability with 120.

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Number of successful goals = \frac{1}{5}\times 120 = 24.

Therefore, player will be able to make 24 goals out of 120 attempts.



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