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Jet001 [13]
3 years ago
13

jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smalle

r lawn is 144 square feet. in the equation (x – 8)2 = 144, x represents the side measure of the original lawn. what were the dimensions of the original lawn? a=4 feet by 4 feet 8 b= feet by 8 8 feet by 8 c= d=20 feet by 20 feet
Mathematics
2 answers:
sp2606 [1]3 years ago
9 0

Answer:

d) 20 feet by 20 feet

Step-by-step explanation:

The original lawn reduced by 8 feet on each side.

The area of the smaller lawn is 144 square feet.

It is represented by the equation (x - 8)^2 = 144, where "x" represents the side of the original lawn.

Let's solve for x.

Taking square root on both sides, we get

\sqrt{(x-8)^{2} } = \sqrt{144}

(x - 8) = 12

Add 8 on both sides, we get

x - 8 + 8 = 12 + 8

x = 20

So, the dimensions of the original lawn is 20 feet by 20 feet.

8_murik_8 [283]3 years ago
5 0
We can solve this equation by using the Square Root Method.
First, take the square root of each side of the equation:
(x-8)^2 = 144 becomes x-8 = 12
Then add 8 to both sides.
x=20

The original lawn was d. 20 feet by 20 feet.
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The population of Weston is 4320. The town’s records show that 45 percent of the population are males, and 2 3 23 of these males
lbvjy [14]

Answer:

In Weston 1,296 males are married

Step-by-step explanation:

step 1

Find out the number of males

Multiply the total population by 45%

45\%=45/100=0.45

4,320(0.45)=1,944\ males

step 2

Find out the number of males that are married

Multiply the number of males by 2/3

\frac{2}{3}(1,944)=1,296\ males\ married

therefore

In Weston 1,296 males are married

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3 years ago
Please please help me
jonny [76]

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8 0
3 years ago
Calculate the amount and the compound interest on Rs 12.000 in 2 years at 10%
mel-nik [20]

Answer:

Amount = p( 1+r/100) ^n

= 12000 ( 1+10/100) ²

= 12000( 10/10+1/10) ²

= 12000( 11/10) ²

= 12000 x 11/10 x 11/10

= 14520 rs.

Compund interest = amount - principal

= 14520 - 12000

= 2520rs.

Next question :- no of men can complete a piece of work in 7 days = 36

No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42

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5 0
3 years ago
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
The measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
grandymaker [24]

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

3 0
3 years ago
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