A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.

Answers

Answer 1

Answer:

   

Step-by-step explanation:


Related Questions

PLEASE I NEED HELP ON THIS QUESTION

Answers

Answer:

Option c is the correct answer

Step-by-step explanation:

distance of satrun - distance of jupiter

what is the measure of the largest side of an isosceles acute, if one side is 36

Answers

The measure of the largest side of an isosceles acute triangle with one side of 36 degrees is 72 degrees.

What is an isosceles triangle?

A triangle with two sides and angles of equal length and degrees is an isosceles triangle.

Acute Triangle:-

A triangle whose all angels are greater than and less than 90° i.e., all angels are acute is called an acute triangle.

Therefore, all the three angles are less than 90 degrees and two angles are equal.

If one angle is 36 degrees, the other two angles will be 72 degrees each.

If the two angles are 36 degrees each, the last angle will be 108 degrees. 108 degrees is greater than 90 degrees..

Therefore, the angles will be 36°, 36° and 72°.

Hence, the measure of the largest side of an isosceles acute triangle with one side of 36 degrees is 72 degrees.

learn more on isosceles triangle here: https://brainly.com/question/16063650

#SPJ1

Graph the following exponential functions and determine the y-intercept, domain, range, and
asymptote of each function.
f(x)=5(2)^x

Answers

The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.

How to draw the graph of an exponential Function?

We want to draw the graph of the exponential function;

f(x) = 5(2)ˣ

At input of x = 0, we have;

f(x) = 5(2)⁰ = 5

At input of x = 1, we have;

f(x) = 5(2)¹ = 10

At x = -1, we have;

f(x) = 5(2)⁻¹ = 2.5

At x = -2, we have;

f(x) = 5(2)⁻² = 1.25

Read more about Graph of Exponential Function at; https://brainly.com/question/12940982

#SPJ1

Directions: The soccer team at your school wants to spray paint a design on the middle of the
playing field. The design will include this soccer ball. You have been asked to enlarge the drawing of
this ball to use for the painting on the field. Using the Text Editor and information you learned in this
Unit, write a brief essay in which you explain how to accurately enlarge or reduce the size of objects
such as the soccer ball. Include the steps that should be taken in order to complete a project like this,
and use concepts discussed in this Unit to support your plan. For example, you may want to include
scale factor, proportions, dilations, and similarity.

Answers

The steps that can be used to increase the ball is:

Scale factor = [tex]\frac{Scale diagram}{Original}[/tex]

What is Scale Factor?

This refers to the measure for similar figures that is used to show the scale through which a figure is bigger or smaller than another.

Hence, we can see that from the given image, one can increase the size of the ball by making use of the scale factor which measures the scale diagram and then divides it from the original and this would retain the dimension but would make it larger.

Read more about scale factors here:

https://brainly.com/question/2826496

#SPJ1

The product of the proper positive integer factors of $n$ can be written as $n^{(ax b)/c}$, where $x$ is the number of positive divisors $n$ has, $c$ is a positive integer, and the greatest common factor of the three integers $a$, $b$, and $c$ is $1$. What is $a b c$

Answers

The value of a + b + c based on the product formula is 8.

How to calculate the value?

From the information given, the product of the proper divisor is illustrated.

Based on the information, the addition of the symbols will be:

= a + b + c

= 3 + 3 + 2

= 8

In conclusion, the correct option is 8.

Learn more about integer on:

brainly.com/question/17695139

#SPJ1

You have a standard deck of 52 playing cards. you draw 2 cards without replacement. which action, performed before the draws, increases the probability of drawing 2 face cards in a row?


a. removing all of the black cards

b. removing all non-face cards

c. removing all kings

d. removing all of the red cards

Answers

Answer:

Bet $100 and remove all non-face cards.

Step-by-step explanation:

Each option may be answered on the basis of the ratio of face cards to non-face cards, which we'll say is R.

a. removing all of the black cards  No.  The vale of R does not change.  R is the same for both black and red cards, so removing one color does not change R.

b. removing all non-face cards  Yes.  The only cards left are face cards.  The odds of drawing 2 face cards in a row from this modified deck is 100%

c. removing all kings  No.  Face cards are being removed and will thus lower the probability of picking one.

d. removing all of the red cards  No.  Same reasoning as in (a.).

Please answer quick and now

Answers

Answer:

[tex]140in {}^{3} [/tex]

Step-by-step explanation:

Substituting values of B and h into the Formular.

[tex]v = \frac{bh}{3} \\ v = \frac{15 \times 28}{3} = 140in {}^{3} [/tex]

The line l cuts the y-axis at (0, 5). l also passes through the point (2, 1). find the equation of the line which is parallel to l and which passes through the point (3, 0).

Answers

Answer: [tex]y=-2x+6[/tex]

Step-by-step explanation:

The slope of line l is

[tex]\frac{5-1}{0-2}=-2[/tex]

Since parallel lines have the same slope, the slope of the line we need to find is -2.

Substituting into point-slope form,

[tex]y=-2(x-3)\\\\y=-2x+6[/tex]

WILL GIVE BRAINLEST!!!!
Find the measure for the unknown angle.

Answers

The measure for the unknown angle is 65 degrees.

What is the measure for the unknown angle?

The two perpendicular lines form a right angle. A right angle would always have a value of 90 degrees.

In order to determine the unknown angle, subtract 25 degrees from 90 degrees.

90 - 25 = 65 degrees

To learn more about angles, please check: https://brainly.com/question/2766460

#SPJ1

Can someone help me out? Pls it’s urgent!!! ASAP! (Geometry)
“Complete the proof”

Answers

1) [tex]\overline{WX} \cong \overline{UY}[/tex], [tex]\angle YXZ \cong \angle XYZ[/tex] (given)

2) [tex]\overline{XY} \perp \overline{XY}[/tex] (reflexive property)

3) [tex]\triangle WXY \cong \triangle UYX[/tex] (SAS)

4) [tex]\overline{WY} \perp\overline{ UX}[/tex] (CPCTC)

Solve for x: -8 < 3x +1 < 13

Answers

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{-8 < 3x+1 < 13 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{-8+-1 < 3x+1+-1 < 13+-1 \ (Add \ -1 \ to \ all \ parts) }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{-9}{3} < \frac{3x}{3} < \frac{12}{3} \ (Divide \ all \ parts \ by \ 3) }} \end{gathered}$}[/tex]

[tex]\red{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{-3 < x < 4 }} \end{gathered}$} }}[/tex]

Determine the measure of the indicated angle in the following triangle:

Answers

Answer:

Θ ≈ 58°

Step-by-step explanation:

using the Cosine Rule in the triangle

cosΘ = [tex]\frac{80^2+60^2-70^2}{2(80)(60)}[/tex] = [tex]\frac{64000+3600-4900}{9600}[/tex] = [tex]\frac{5100}{9600}[/tex] = [tex]\frac{51}{96}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{51}{96}[/tex] ) ≈ 58° ( to the nearest degree )

A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation

Answers

The data is significant at a significance level of 0.01 indicating that the average mass of apples in a farmer's orchard differs from 100g to a level of 0.01. Option C is correct.

Given as the farmer states that the average mass of an apple grown in his orchard is 100g, he measures the mass of 150 apples grown in his orchard and finds that the average mass per apple is 98g and the results are calculated as statistically significant at the 0.01 level.

The null hypothesis is:

H₀ = 100

Because of the farmer's claim.

The alternative hypothesis is:

H₁ ≠ 100

The alternative hypothesis tests the farmer's claim at a level of significance. Results are calculated as statistically significant at the 0.01 level.

This means that at the 0.01 level, the null hypothesis is rejected, i.e. H the average mass of the farmer's orchard differs from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1 and increasing levels.

Thus, at the significance level of 0.01, the average mass of apples grown in the farmer's orchard differs by 100 g. The correct answer is therefore given by option C.

Learn more about level of significance from here brainly.com/question/24343041

#SPJ1

The following graph shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to 2013

Answers

A journalist's statement about this piece of information after analyzing the data could be (a) the owner made a mistake because the rate is constant

How to determine the Journalist statement about this piece of information after analyzing the data?

From the question, we have the following highlights:

Year = 2008 to 2013 (this represents the domain)Owner's claim: Production increased at an exponential rate

From the graph attached to the question, we can see that the graph that shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to 2013 is a linear graph

This is so because the points on the graph are connected by a straight line.

Linear graphs have constant rate

Hence, a journalist's statement about this piece of information after analyzing the data could be (a) the owner made a mistake because the rate is constant

Read more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Complete question

The following graph shows the tons of sugar Bel sugar mill fabricated from its opening day in 2008 to 2013. The owner of the sugar mill said in an interview that the production increased at an exponential rate since the inauguration. What would a journalist say about this piece of information after analyzing the data?

Determine whether the following sequence is geometric. If so, find the common ratio.
1,5,25,125,….

Answers

Answer:

Yes,

Common ratio = 5.

Step-by-step explanation:

If its geometric it will have a common ratio.

5/1 = 5

25/5 = 5

125/25 = 5

So its geometric with commo ratio 5.

Luiza wants to go on a popular talent TV show. In order to be accepted, her audition must get at least 60%
positive votes from the people in the crowd. She was afraid she will not get enough votes, so she made a
video of her act and showed it to 60 random people from the crowd before the show. 50% of the people
said they would vote for her.
Let's test the hypothesis that the actual percentage of positive votes among the crowd is 60% versus the
alternative that the actual percentage is lower than that.
The table below sums up the results of 1000 simulations, each simulating a sample of 60 votes, assuming
there are 60% positive votes.
According to the simulations, what is the probability of getting a sample with 50% positive votes or less?
Let's agree that if the observed outcome has a probability less than 1% under the tested hypothesis, we
will reject the hypothesis.
What should we conclude regarding the hypothesis?
Choose 1 answer:
We cannot reject the hypothesis.
We should reject the hypothesis.

Answers

We cannot reject the null hypothesis as the p value is less than 0.01.

How to illustrate the hypothesis?

From the information given, Luiza wants to go on a popular talent TV show and in order to be accepted, her audition must get at least 60% positive votes from the people in the crowd.

The observed outcome also has a probability less than 1% under the tested hypothesis. Based on the information, the test statistic will be - 1.58.

After this, this will be checked under the standard normal distribution table where the p value will be 0.0571.

Based on this information, we cannot reject the null hypothesis as the p value is less than 0.01.

In conclusion, the correct option is that we cannot reject the hypothesis.

Learn more about hypothesis on:

brainly.com/question/25263462

#SPJ1

Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!

Answers

See

The point D is

3 units left from origin

x coordinate=-3

1 units up from origin

y coordinate=1

The point is

(-3,1)

Direct variation

Multiply k=2

k(-3,1)2(-3,1)(-6,2)

Option A

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.

Answers

Based on the given inequality; x < 9 or x ≥ 14, the possible values of x are $8 and $14

Inequality

x < 9 or x ≥ 14

This means x less than 9 or greater or equal to 14

From the options

All values less than 9 are

$8

All values greater than or equal to 14 are

$14

Therefore, based on the options given, the possible values of x are $8 and $14

Complete question:

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Check all that apply. $8 $9 $11 $13 $14 $15

Learn more about inequality:

https://brainly.com/question/5753864

#SPJ1

Please help me ASAP!! I really appreciate it

Answers

Answer:

a = -1

Step-by-step explanation:

1. Subtract [tex]\frac{2}{3}[/tex] from both sides.

[tex]6a=-\frac{16}{3} - \frac{2}{3}[/tex]

2. Solve the side after the equal sign.

[tex]6a=-6[/tex]

3. Divide 6 from both sides.

[tex]a=-1[/tex]

4. Hope this helped!

[tex]:)[/tex]

Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given information below and the law of cosines, what is the measure of angle C? Round your answer to the nearest whole number, if necessary.

A=29
C=24
B=101

Answers

The measure of angle C is obtained as 35 degrees

What is the angle C?

Give that;

b^2 = a^2 + c^2 - 2ac Cos B

a = 29

c = 24

B = 101 degrees

b^2 = (29)^2 + (24)^2 - [2 * 29 * 24 cos 101]

b^2 = 841 + 576 + 266

b = 41 cm

Now;

b/sinB = c/sinC

bsinC = csinB

sinC = csinB/b

sinC =  24 * sin 101/41

C = sin-1(24 * sin 101/41)

C = 35 degrees

Learn more about cosine rule;https://brainly.com/question/20839703

#SPJ1

Suppose the daily customer volume at a call center has a normal distribution with mean 4,900 and standard deviation 700. What is the probability that the call center will get fewer than 4,400 calls in a day

Answers

The probability that the call center will get fewer calls than 440 is 0.26115.

Given mean of 4900 and standard deviation of 700.

We have to calculate the probability that the call center will get fewer than 4400 calls.

Probability lies between 0 and 1.

μ=4900

σ=700

We can  apply z as well as t statistics because the sample size is not given.

We are applying z statistics.

P(X<4400)=0.5-P(4400<X<4900)

z=X-μ/σ

where μ= mean

σ=standard deviation

z=4400-4900/700

=-500/700

=-0.71

p value of -0.71 is 0.23885.

So the p value of calls less than 4400 is 0.5-0.23885=0.26115.

Hence the probability that the call center will get calls less than 440 is 0.26115.

Learn more about z test at https://brainly.com/question/14453510

#SPJ4

CAN ANYONE HELP ME WITH QUESTION 6

Answers

SINCE THATS AN ISOSCELES TRIANGLE:

AB=BC

SO 3x-4=5x-10

But we have to find x

3x-4=5x-10

Minus 3x on both sides

-4=2x-10

Add 10 on both sides

6=2x

Divide 2 on both sides

3=x

So x is 3

Now since we are looking for side AB which is 3x-4

Substitute in 3 as x

3(3)-4

9-4=5

So 5 is the answer.

Brainlist would be much appreciated!

please im in a rush i need help

Answers

Answer:

28.5 ft²

Step-by-step explanation:

shaded area = area of triangle minus area of rectangle

shaded area = (1/2)bh - LW

base of triangle = 5 ft + 4 ft = 9 ft

height of triangle = 3 ft + 6 ft = 9 ft

shaded area = (1/2)(9 ft)(9 ft) - (4 ft)(3 ft)

shaded area = 40.5 ft² - 12 ft²

shaded area = 28.5 ft²

hi please help 10 Points

Answers

Percentage for lakeside is 38%

Percentage for Jungle is 26%

Percentage for Desert is 18%

Percentage for Coast is 12%

Percentage for Prairie is 6%

How to determine the percentage

To determine the percentage, divide the given value by the total number and multiply by 100

Total  = 24000

Percentage for lakeside = [tex]\frac{9120}{24000}[/tex] × 100

% of lakeside = [tex]0. 38[/tex] × 100 = 38%

Percentage for Jungle = [tex]\frac{6240}{24000}[/tex] × 100

% of Jungle = [tex]0. 26[/tex] × 100 = 26%

Percentage for Desert = [tex]\frac{4320}{24000}[/tex] × 100

% of Desert = [tex]0. 18[/tex] × 100 = 18%

Percentage for Coast = [tex]\frac{2880}{24000}[/tex] × 100

% of coast = [tex]0. 12[/tex] × 100 = 12%

Percentage for Prairie = [tex]\frac{1440}{24000}[/tex] × 100

% of Prairie = [tex]0. 06[/tex] × 100 = 6%

Learn more about percentage here:

https://brainly.com/question/843074

#SPJ1

TIME REMAINING
01:38:18
The function rule T–4, 6(x, y) could be used to describe which translation?

a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up

Answers

The translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

How to determine the translation?

The translation rule is given as:

T–4, 6(x, y)

This can be rewritten as

T(x- 4, y + 6)

The above represents a translation 4 units left and 6 units up

Hence, the translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

Read more about transformation translation at:

https://brainly.com/question/8797028

#SPJ1

Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons, and the total capacity of 8 containers of the other size is also x gallons, and . In terms of x, what is the capacity, in gallons, of each of the larger containers?

Answers

Answer:

x/8 gallons.

Step-by-step explanation:

The 8 containers have the larger capacity as the 2 totals are x and the other containers are 16 in total.

Capacity of each of the large containers = x/8 gallons.

Phone chargers in a store are priced $19, $18, $15, $17, $19, $12, $19, and $15.

What display would best show the measures of variation?
(ignore my answer. i didn't mean to click)

Answers

The display that would best show the measures of variation of the given prices is; B: Box and Whisker Plot

What is the importance of Box and Whisker Plot?

We are given the prices of Phone chargers in a store as;

$19, $18, $15, $17, $19, $12, $19, and $15.

Now, since we want to determine the display that would best show the measures of variation, the best display would be a box and whisker plot. This is because Box and Whisker plots are a great chart to use when showing the distribution of data points across a selected measure. These  box and whisker plots display ranges within variables measured.

Read more about Box and Whisker Plot at; https://brainly.com/question/26613454

#SPJ1

The fatal crash rate of teenage drivers 16 years of age is nearly twice as high at night. Select one: True False

Answers

TRUE

The fatal accident rate for young drivers aged 16 to 19 is about four times higher than at night. Two or more passengers of the same age triple the risk of a fatal accident driving a teenager.

An accident in which someone dies. Synonyms: Accident. Type: Collateral damage.

Of the collisions between cars, angled collisions are the most deadly (about 8,000 in 2020). The interactive chart also shows the estimated number of fatalities, injuries, casualties, and all accidents in different types of car accidents.

Learn about car crashes here:https://brainly.com/question/25241464

#SPJ4

Consider the given set of numbers 70, 81, 91, 83, 88, and 55. A new number equal to a 12% increase in the median of this set is added to the list. What percentage larger is the mean of the new list in comparison with the original

Answers

New mean is 2.53% larger than the original mean.

What is mean?

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.

We can find the percentage larger is the mean of the new list in comparison with the original as shown below:

Given, set of number 55, 70, 81, 83, 88, 91

Median= (81+83)/2

= 164/2

= 82

Mean = (55+70+81+83+88+91)/6

= 468/6

= 78

New value which is added = 82*1.12

= 91.84

New Mean = (55+70+81+83+88+91+91.84)/7

= 559.84/7

= 79.97

Increase in mean = 79.97-78

=1.97

increase percentage (1.97/78) *100

= 2.53%

Hence, new mean is 2.53% larger than the original mean.

Learn more about Mean here:

https://brainly.com/question/17060018

#SPJ4

The manager of a food store noted that for every 20 persons who visit the store, they sell 6 burgers at $2.35 each, 8 aerated drinks at $1.60 each, and 4 pack of fries at $ 2.00 each. To the nearest cent, what is the average (arithmetic mean) amount of sales per person who comes in?

Answers

(2.35*6+1.6*8+2*4)/20=$1.745=$1.8
Other Questions
Traditional Chinese medicine hypothesizes that qi is a force that is essential to health and that acupuncture and qi gong improve health by affecting qi. Group of answer choices True False Someone please help! What is the height of a cylinder with a volume of 315 pi cubic meters and a radius of 6 meters? 8.75 meters12.25 meters26.25 meters52.5 meters Occurs when the individual inherits only one (female) X Occurs when the individual inherits only one (female) X chromosome Companies use cross-functional teams and self-managed teams for:__________. a. lateral thinking. b. brainstorming sessions. c. appreciative inquiry. d. creative collaboration. Of mice and men1. what is Slim's role in Bunk house? 2. What could Candy's dog symbolize in the book? (Why was he killed)3. Why does Curley pick a fight with Lennie? Which of the following terms describe the relationship between the number of notes and each syllable of a text Write an equation of the line that passes through the point (8, 1) with slope 5. A. y - 1 = 5(x 8) B. y 1 = - -5(x 8) - C. y - 8 = -5(x - 1) OD. y - 8 = 5(x 1) Question Progress Use substitution to find the integral. (Remember to use absolute values where appropriate.) square root x / x-4 Local governments have a large and growing role in national health care, and they must be included in any plans for implementing reforms. Whether policies and standards are set by the federal and/or state governments, local governments deliver many health services, especially those directed at vulnerable populations.Unless local officials are involved early in planning for implementation of health care reforms, unnecessary delays and problems may result, with serious effects on people who depend on local governments for health care services.Types of ExpendituresLocal governments spend an estimated $85 billion per year on health care, based on the latest years for which information is available. This means that 1 of every 8 dollars spent by local governments is for health-care related activities! This spending includes (1 ) protecting the health of the community, (2) providing health care for low- income and uninsured residents, (3) providing health benefits for employees and retirees, and (4) helping states finance Medicaid.Local spending on health services is a large and rapidly growing budget component. Hospitals and public health were the two fastest growing services of local government, far exceeding the overall 4.9 percent increase in spending.Local governments have a large and growing role in national health care, and they must be included in any plans for implementing reforms to that system. While overall policies and standards may be set by the federal and state governments, it is local governments that deliver many health services and need to be considered in implementing any reform of national health care systems What is the author's purpose? Sunny runs at a steady rate, and Moonbeam runs times as fast, where is a number greater than . If Moonbeam gives Sunny a head start of meters, how many meters must Moonbeam run to overtake Sunny The group of vascular disorders that are marked by blood vessel necrosis and inflammatory injury is the:________ What to do if he personally prefer to text over calls? Use the following triangle to find Sec theta. Note: enter the exact, fully simplified and rationalized answer What percentage of the u.s. gross national product is accounted for by healthcare costs? Student financial aid can be awarded inthe form of:Grants.Work-study.Loans.Scholarships. The proposition that increases in the government budget deficit has no effect on aggregate demand is called the Your colleague works at a third-party marketing organization (TMO) and she said she did not need to take the Medicare training for brokers and Pls help me !!! due today:( Critics of the homeschooling movement argue that homeschooled students miss out on ______.