1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lora16 [44]
3 years ago
14

A rectangular field has an area 28800 sq meter. Its length is twice as long as its width. What is the length of its sides?

Mathematics
1 answer:
mina [271]3 years ago
3 0
W= width L= length = 2W

Area of Rectangle= Length * Widthsubstitute the area and the value of L in the formula
28,800 m^2= 2W * W
28,800= 2W^2divide both sides by 2 in an effort to isolate the variable w
14,400= W^2take the square root of both sides
√14,400= W^2
we want the negative and positive root of the radicand (the number under the radical symbol - 14,400 in this case)
120= w OR -120= w


LENGTHL= 2W= 2(120)= 240 meters

ANSWER: The side lengths are W= 120 m; L= 240 m.  Even though W= -120 too, it is not a valid solution in this case since a field cannot have a negative value.

Hope this helps!  :)
You might be interested in
What is 2x – 3 < 7 and 5 – x ≤ 8?
iren2701 [21]

Answer:

\begin{bmatrix}x

Step-by-step explanation:

2x -3 < 7 \\ 5 - x \leq  8\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:2x-3

7 0
3 years ago
Read 2 more answers
Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving
Morgarella [4.7K]

Answer:

a)

\bf H_0: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is 0.3

\bf H_a: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is greater than 0.3

b) 34%

c) practically 0

d) Reject the null hypothesis.

Step-by-step explanation:

a)

Since an individual aged 18 to 32 either continues to be dependent on their parents or not, this situation follows a Binomial Distribution and, according to the previous research, the probability p of “success” (depend on their parents) is 0.3 (30%) and the probability of failure q = 0.7

According to the sample, p seems to be 0.34 and q=0.66

To see if we can approximate this distribution with a Normal one, we must check that is not too skewed; this can be done by checking that np ≥ 5 and nq ≥ 5, where n is the sample size (400), which is evident.

<em>We can then, approximate our Binomial with a Normal </em>with mean

\bf np = 400*0.34 = 136

and standard deviation

\bf \sqrt{npq}=\sqrt{400*0.34*0.66}=9.4742

Since in the current research 136 out of 400 individuals (34%) showed to be continuing dependent on their parents:

\bf H_0: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is 0.3

\bf H_a: The mean of adults aged 18 to 32 that continue to be  dependent on their parents is greater than 0.3

So, this is a r<em>ight-tailed hypothesis testing. </em>

b)

According to the sample the proportion of "millennials" that are continuing to be dependent on their parents is 0.34 or 34%

c)

Our level of significance is 0.05, so we are looking for a value \bf Z^* such that the area under the Normal curve to the right of \bf Z^* is ≤ 0.05

This value can be found by using a table or the computer and is \bf Z^*= 1.645

<em>Applying the continuity correction factor (this should be done because we are approximating a discrete distribution (Binomial) with a continuous one (Normal)), we simply add 0.5 to this value and </em>

\bf Z^* corrected is 2.145

Now we compute the z-score corresponding to the sample

\bf z=\frac{\bar x -\mu}{s/\sqrt{n}}

where  

\bf \bar x= mean of the sample

\bf \mu= mean of the null hypothesis

s = standard deviation of the sample

n = size of the sample

The sample z-score is then  

\bf z=\frac{136 - 120}{9.4742/20}=16/0.47341=33.7759

The p-value provided by the sample data would be the area under the Normal curve to the left of 33.7759 which can be considered zero.

d)

Since the z-score provided by the sample falls far to the left of  \bf Z^* we should reject the null hypothesis and propose a new mean of 34%.

7 0
3 years ago
The gallons of gas varies directly to number hours driving a car. Dylan drove 3 hours on 15 gallons of gas. If he drove for 35 h
Arte-miy333 [17]

Answer:

I am unable to solve this problem Sorry

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The scatter plot shows a correlation between the years and the rainfall in centimeters in Tennessee.
nataly862011 [7]

Answer:

7

4

Step-by-step explanation:

The <u>actual values</u> are shown on the given graph as <u>blue points</u>.

The <u>line of regression</u> is shown on the given graph as the <u>red line</u>.

From inspection of the graph, in the year 2000 the actual rainfall was 43 cm, shown by point (2000, 43).  It appears that the regression line is at y = 50 when x is the year 2000.

⇒ Difference = 50 - 43 = 7 cm

<u>In 2000, the actual rainfall was </u><u>7</u><u> centimeters below what the model predicts</u>.

From inspection of the graph, in the year 2003 the actual rainfall was 44 cm,  shown by point (2003, 40).  It appears that the regression line is at y = 40 when x is the year 2003.

⇒ Difference = 44 - 40 = 4 cm

<u>In 2003, the actual rainfall was </u><u>4</u><u> centimeters above what the model predicts.</u>

3 0
2 years ago
Classify the polynomial 5m^10
Naily [24]

Answer:

Monomial

Step-by-step explanation:

A polynomial has terms in their equation.

When it is a trinomial, it usually follows the pattern such as x^2+2x+1.

When it is a binomial, it usually is something like x+2

...And finally, when it is a monomial, it can be anything that has just one term. So let's say 4x^8883293483.

The polynomial 5m^10 classifies under a monomial since it only has one term

3 0
2 years ago
Other questions:
  • Solve for x and explain the steps in your answer. Please Help :/
    6·1 answer
  • How do I solve for the missing length? Please explain!! I’m struggling
    9·1 answer
  • How do I do this? Circled ones are the ones I need help with
    10·1 answer
  • 3.5(x + 2) - 6.5 - 2.5(x - 4)
    5·1 answer
  • Which is a more precise measurement 57.65lb or 34.9lb
    7·1 answer
  • The sum of three consecutive numbers is 99. What is the smallest number??
    10·2 answers
  • Johanna is planting tomatoes in the school garden this year. Tomato plants come in packs of six She needs 80 plants in the garde
    7·1 answer
  • Please help asap question is attached
    10·1 answer
  • Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of
    11·1 answer
  • By selling a watch to Rahim, Ravi gainee Rs 50. Apurva bought the same watch from Rahim who sold at a loss of Rs 20. If Apurva p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!