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Rudiy27
3 years ago
8

The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft dee

p,
what is the length of the pool
Mathematics
1 answer:
xeze [42]3 years ago
4 0

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

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WILL GIVE BRAINLIEST IF CORRECT
SCORPION-xisa [38]

9514 1404 393

Answer:

  5544 square units

Step-by-step explanation:

Translation does not change the dimensions of the figure. The two figures together tell you the right triangle has a base of 154 units and a height of 72 units.

The area of a triangle is given by ...

  A = 1/2bh

  A = 1/2(154 units)(72 units) = 5544 square units

The areas of each of the triangles are 5544 square units.

8 0
3 years ago
10 = 3x – 8<br><br> what is this
Margaret [11]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<u><em>10=3x-8</em></u>

<u><em>always remember to flip the equation</em></u>

<u><em>3x-8=10</em></u>

<u><em>Add 8 to both sides</em></u>

<u><em>3x-8(+8)=10(+8)</em></u>

<u><em>3x=18</em></u>

<u><em>Divide both sides by 3</em></u>

<u><em>3x/3=18/3</em></u>

<u><em>x=6</em></u>

8 0
4 years ago
Read 2 more answers
Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -4 (multiplicity 3), 1 (
yuradex [85]

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

8 0
3 years ago
Read 2 more answers
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co
Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0
4 years ago
I’m training my robot to eat Ludies cupcakes. Every 4 days it eats 2 cupcakes and I’d like enough for the next 12 days. Thank yo
Alenkasestr [34]
I hope your robot enjoyed them cupcakes!
5 0
3 years ago
Read 2 more answers
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