a rectangular lot measures 60 feet wide and has an area of 1,200 square yards. what is the depth of the lot?

Answers

Answer 1

The depth of the given rectangular lot is 60 yards.

Here, we are given that the area of a rectangular lot is 1,200 square yards.

Further the width of the lot is 60 feet

As the area and the width are given in different units, we first need to convert them into the same units.

Now, 1 foot = 0.33 yards

⇒ 60 feet = 0.33*60 yards

= 20 yards

Further, we know that the area of a rectangle is given by the formula-

area = length × breadth

Thus,

1,200 = 20 × breadth

1,200/20 = breadth

breadth = 60 yards

Thus, we find that the depth of the given rectangular lot is 60 yards.

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Related Questions

Can someone please help me? I need help
BTW this is algebra 2

Answers

Answer:

Step-by-step explanation:

1. is .4444444 or 4/9

All you do for this is enter -2 as x for 4(3)^x

2.  is x^24 or answer (4)

this is because you will multiply the exponents starting with -4 till you get 24.  

-4 x -1 = 4

4 x 6 = 24

3. sorry I have to go for this one, plug in any number into x and experiment with the 4 answers till one of them gives you the same solution


What is the surface area of this triangular prism?
5 cm
8 cm
3.5 cm
7.2 cm

Answers

Answer:130.09

Step-by-step explanation:

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7.2+8·7.2+3.5·7.2+1

2·﹣54+2·(5·8)2+2·(5·3.5)2﹣84+2·(8·3.5)2﹣3.54≈130.08536

help me with this i cant figure out the second part

Answers

The value of c that will make the expression x² + 24x + c  a perfect trinomial is 144.

The perfect squared trinomial as a perfect binomial is (x + 12)²

How to find the value of c in the expression?

An expression obtained from the square of the binomial equation is a perfect square trinomial.

In other words, perfect square trinomials are algebraic expressions with three terms that are obtained by multiplying a binomial with the same binomial.

If a trinomial is in the form ax² + bx + c is said to be a perfect square, if and only if it satisfies the condition b² = 4ac.

Therefore,

x² + 24x + c

where

a = 1b = 24c  = ?

Therefore,

b² = 4ac

24² = 4 × 1 × c

4c = 576

divide both sides by 4

c = 576 / 4

c = 144

Therefore,

c = 144

The perfect squared trinomial as a perfect binomial is as follows:

x² + 24x + 144

x² + 12x + 12x + 144

x(x + 12) + 12(x + 12)

(x + 12)(x + 12)

(x + 12)

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caitlin won a bag full of money. she has 49 bills in all. she counts $1,430. there are twenty dollar bills and fifty dollar bills in the bag. how many of each bill does caitlin have?

Answers

Answer:

30 I think but I'm not positive

Step-by-step explanation:

what is the largest integer that is a divisor of $(n 1)(n 3)(n 5)(n 7)(n 9)$ for all positive even integers $n$? (a) 3 (b) 5 (c) 11 (d) 15 (e) 165

Answers

The largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers is 15

The correct answer is an option (d)

In this question, we need to find the largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers n.

We can observe that (n + 1), (n + 3), (n + 5), (n + 7) and (n + 9)  are 5 consecutive odd integers

In every 5 consecutive odd positive integers, one of them is always divisible by 3 and one of them is always divisible by 5.

This means, (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

i.e., (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15 (3 * 5 = 15)

Therefore, the largest integer that is a divisior of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  = 15

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If 6a = 5b, what are the following ratios?

2a:7b

Answers

Answer:

If 6a = 5b then the ratio of 2a : 7b is 5 : 21

Explanation:

Given that 6a = 5b

We have to find the ratio of 2a : 7b

Let us first solve the given expression and find values of a and b

6a = 5b

So we have found that a = 5 and b = 6

Finding ratio of 2a : 7b

2a : 7b = 2(5) : 7(6)

2a : 7b = 10 : 42

On simplifying to lowest terms,

2a : 7b = 5 : 21

Thus the ratio of 2a : 7b is 5 : 21

A rose cost $3.40 . How much will it cost to buy a dozen roses?

Answers

Answer:

$40.8

Step-by-step explanation:

You would do 3.40 * 12 because a dozen is 12 roses.

So 3.40 × 12 = 40.8

Could you please give me brainliest for this? Thank you!

five cards are darwn from a standard deck of cards. how many different hands consist of four queens and one king

Answers

2,598,960 many different hands consisting of four queens and one king.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

To choose 4 kings, there is only one way, and to choose a queen, there are four.

Thus, there are 4 different methods to draw the 5 cards as instructed.

The probability of drawing cards is taken into account while calculating the number of ways to draw 5 cards from a typical 52-card deck.

= 52!/(47!)(5!) = 2,598,960.

Hence,  2,598,960 many different hands consisting of four queens and one king.

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a mother is 21 years older than her son. in 6 years, she will be 5 times as old as her son. where is the father?\

Answers

The father is with the son's mother.

Given that,

a mother is 21 years older than her son.

Let us consider M be the age of the mother and S be the age of the son

which implies that,

M = S + 21 ---------------(1)

and in 6 years, mother will be 5 times as old as her son

i.e. M + 6 = 5(S + 6)

M = 5S + 24 ------------- (2)

so equation (1) and (2) implies that,

S + 21 = 5S + 24

     21 = 4S + 24

       S = - 3/4

That means son is - 3/4 years old or - 9 months.

The time at which we know the father will be with son's mother.  

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Enlarge the triangle by scale factor -3 with centre (3,3)

Answers

Dilating a triangle by - 3 with vertices (3, 4), (3, 5), and (5, 5) will be

(- 9, - 12), (- 9, - 15) and (- 15, - 15).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A triangle with vertices (3, 4), (3, 5) and (5, 5).

Now dilating by a scale factor of - 3 will have every point multiplied by - 3 and the new vertices will be (- 9, - 12), (- 9, - 15) and (- 15, - 15).

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How can you balance the equation
Ba(C2O4) + K(IO3) → Ba(IO3)2 + K2(C2O4)

the big numbers in the parenthesis are supposed to be subscripts. Also the compound IO3 is supposed to be Iodine and oxygen separate I think. ​

Answers

The balanced equation is Ba(C₂O₄) + 2K(IO₃) → Ba(IO3)₂ + K₂(C₂O₄).

What is an equation?

An equation is a combination of different variables, in which two expressions are equal to each other.

The given equation is,

Ba(C₂O₄) + K(IO₃) → Ba(IO3)₂ + K₂(C₂O₄)

Since, there are 2 atom of potassium on right side and also (IO₃) is two times.

To balance the equation, Coefficient of K(IO₃) should be 2.

The equation can be represented as,

Ba(C₂O₄) + 2K(IO₃) → Ba(IO3)₂ + K₂(C₂O₄)

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It is an association between two sets of objects which is paired according to a certain rule. A. Domain B. Range C. Relation D.Function

Answers

Relation is an association between two sets of objects which are paired according to certain rule.

As given in the question,

Given statement is:

Association between the two given sets of objects that are paired according to the certain rule.

Explanation of each option for the given statement:

A. Domain : Domain represents all the input values of any relation.

It is not correct option.

B. Range : It represents all the output values of any relation.

It is not correct option.

C. Relation : It represents the association between two sets which are collection of ordered pairs ( x, y ) where each input value is associated with output value.

It is the correct option.

D. Function : It represents each input is uniquely related to output value.

Not a correct option.

Therefore, relation is an association between two sets of paired objects with certain rule.

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Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Check the picture below.

[tex]tan(x)=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{42}}\implies tan(x)=\cfrac{25}{21}\implies x=tan^{-1}\left( \cfrac{25}{21} \right)\implies x\approx 50^o[/tex]

Make sure your calculator is in Degree mode.

Find a number so that 100% of it is 26.

Answers

Answer:

would it not be 26? I honestly don't know

if a polling result states that a president has an approval rating of 55%, with a margin of error of x, how should you interpret that?

Answers

At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, the value of a margin of error of x is 1.534%.

In the given question, at a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, then we have to explain how should we interpret that.

The given confidence interval = 95%.

We can write it as CI = 0.95.

An approval rating is 55%.

We can write it as(p) = 0.55

A margin of error is x.

Let the value of sample size n = 1000.

So the margin of error;

ME = z× {p(1-p)}/√n

The value of z for confidence interval of 95% is 1.96.

Now putting the value

x = 1.96× {0.55(1-0.55)}/√1000

x = 1.96× {0.55×0.45}/31.623

x = 1.96× 0.2475/31.623

x = 1.96×0.00783

x = 0.01534

x = 1.534%

So the margin of error should be 1.534%.

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The right question is:

At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, how should you interpret that?

the area of trapezoid $abcd$ is $60$. one base is $4$ units longer than the other, and the height of the trapezoid is $5$. find the length of the median of the trapezoid.

Answers

The length of the median of the trapezoid ABCD is  12 .

In the question ,

it is given that ,

the area of the trapezoid ABCD is = 60 ,

the height of the trapezoid ABCD is = 5 ,

let one base of the trapezoid ABCD be = a ,

So, b = a + 4 ,

Substituting the value in the formula for Area of the trapezoid = A =(a+b)h/2

(a + a + 4)5/2 = 60

(2a + 4)5 = 120

2a + 4 = 120/5

2a + 4 = 24

2a = 24 - 4

2a = 20

a = 20/2

a = 10 units

and other base = 10 + 4 = 14 units

So , the length of the median will be = (10 + 14)/2

= 24/2 = 12 units

Therefore , the length of median is = 12  .

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y varies directly as x. y = 18 when x = 5. Find x when y = 36.

Answers

Answer:

Step-by-step explanation:

y varies directly as x.

y = 18 , x = 5

y =36 then x also double,

x = 10

what types of problems can be solved using the greatest common factor?what type of problems can be solved using the least common multiple

Answers

The GCF can be applied to problems requiring the division of something into equal groups or an equal number of groups, as well as problems requiring the simplification of a fraction.

The LCM can be used to solve problems involving the overlap of two activities or something similar, as well as problems involving the addition of two or more fractions with different denominators.

What is the GCF?

The greatest common factor of two or more integers that are not all zero in mathematics is the largest positive integer that divides each of the integers.

A set's greatest common factor (GCF) is the largest factor that all of the numbers share.

For example, the numbers 12, 20, and 24 all have two common factors: 2 and 4. The greatest is 4, so the GCF of 12, 20, and 24 is 4. The LCM, or smallest common multiple, is the smallest common number or multiple of any two numbers. The least common multiple of 3 and 5 is 15, for example.

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pharmacy technicians are concerned about the rising number of fraudulent prescriptions they are seeing. a small pharmacy sees 1,500 new prescriptions a month, 28 of which are fraudulent. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n

Answers

The mean and standard deviation of sampling distribution are 0.0187 and 0.010 respectively

The mean is a measure of location which tells us the average of observation.

Standard deviation tells us how dispersed a data is or how much variation our data contains.

According to question,

The population size : N = 1500

Number of fraudulent in a month : 28

Population proportion : P = 28/1500

=> P = 0.0187

Sample size: n = 180

Sample proportion : p = 28 / 180

=> p = 0.156

Therefore The mean of sampling distribution for the sample size 28,

μ = P

=> μ = 0.0187

The standard deviation will be

=> σ = [tex]\sqrt{\frac{p(1-p)}{n}}[/tex]

Substituting the value,

=>  σ = [tex]\sqrt{\frac{0.0187(1-0.0187)}{180}}[/tex]

=>  σ  = 0.010

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A circle has a circumference of 6. It has an arc of length 1. What is the central angle of the arc, in degrees?​

Answers

Answer:

60 degrees

Step-by-step explanation:

The arc length is 1/6th of the total ....the angle will be 1/6th of the total 360° of the circle

1/6th  X 360 = 60 °

Answer:

60 degrees

Step-by-step explanation:

1.) Figure out which portion of the circle that the arc is. Since the total circumference is 6, and the arc is 1, that means that the arc is 1/6 of the circle.

2.) Now, figure out the measure of the angle. Since the total angle measure in a circle is 360 degrees, we multiply 1/6*360 to figure out the measure. This is equal to 60 degrees.


PLEASE HELP ASAPPP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING.

Answers

Answer:

$21.6

Step-by-step explanation:

[tex]720*\frac{3}{100} =720*0.03=21.6[/tex]

what is the statement of |4×+12|=0​

Answers

Step-by-step explanation:

4x+12=0

4x= -12

x = -3

.........

Help, I don't understand how to do this and it's due tomorrow. (Correct answer shown.)

Answers

The minimum value of the function occurs between 4 and 5.

What is a function?

A function is a relation where every input is connected to only one possible output from a set of available inputs.

Given the table of values.

Note that the value of the function is a minimum of between 4 and 5.

Hence, the minimum value of the function occurs between 4 and 5.

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The values for random variables in a Monte Carlo simulation area. selected manually.b. generated randomly from probability distributions.c. taken from forecasting analysis.d. derived secondarily using formulas.

Answers

The values for random variables in a Monte Carlo simulation area that were chosen at random from probability distributions are the right answer.

What is Monte Carlo Simulation ?

The Monte Carlo Method, also referred to as the Monte Carlo Simulation or a multiple probability simulation, is a mathematical method for predicting potential outcomes of an uncertain event. To help people make better decisions when faced with uncertainty, John von Neumann and Stanislaw Ulam developed the Monte Carlo Method during World War II.

Therefore, the values for random variables in a Monte Carlo simulation area that were generated at random from probability distributions are the right answer.

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The correct response is the set of values for random variables in a Monte Carlo simulation region that were randomly selected from probability distributions.

In order to represent uncertainty in a model that represents a real system and computes the values of model outputs, a Monte Carlo technique is used. During World War II, John von Neumann and Stanislaw Ulam created the Monte Carlo Method to aid people in making better judgments when faced with uncertainty.

As a result, the correct response is the random values for random variables that were produced using probability distributions in a Monte Carlo simulation area.

due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit?

Answers

Due to construction, approximately 5 minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit.

Given that,

length of highway is 8 miles

Reduced length is 55 miles

Hours taken is 35 miles per hour.

Let t₁ is time taken is 55 mph

t₁ = 8/55

Let t₂ is time taken is 35 mph

t₂ = 8/35

Difference in time = 8/35 - 8/55

= 8 × 20 / (35 * 55) hour

= 160 × 60 / (35 × 55) mins

= 4.7

= 5 minutes (approximately)

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A strand of hair grows at a constant rate of 1/2 inch per month. A different strand of hair grows at a constant rate of 4 inches per year.
Find out if this is or isn't a proportional relationship ?
I WILL GIVE BRAINLIEST

Answers

Answer:This is not a proportional relationship.

Step-by-step explanation:

A study was conducted to compare the proportion of drivers in boston and new york who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in boston was 0. 581 and the proportion wearing seat belts in new york was 0. 832.

Answers

z = -2.51 is the required test statistic.

What is the test statistic?

A statistic employed in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.

This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.

So, we have to use: Ha: pB < pNY

This implies that the alternative thesis is revised as follows:

Ha: pB - pNY < 0

In contrast to the null hypothesis:

H₀: pB - pNY = 0

This is the test statistic:

z = X - μ/a

Now, pB = 0.581, pNY = 0.832.

It follows that: X = 0.581 - 0.832 = -0.251

The test for the null hypothesis is 0.

This follows to: μ = 0

Standard deviation: 0.1

This follows to: s = 0.1

Test statistic:

z = X - μ/a

z = -0.251-0/0.1

z = -2.51

Therefore, z = -2.51 is the required test statistic.

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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)

1.5 times 4/5 in fraction form

Answers

Answer: 1 1/5

Step-by-step explanation: you can write it as 1.5/1 times 4/5.

multiply by numerator and denominator so 1.5*4 which is 6

and 1*5 which is 5.

Now you have 6/5

6 can go into 5 once and you have 1 extra so 1 1/5

1 1/5 cus i said so

My question is below!

Answers

Answer:

Below

Step-by-step explanation:

s = small box number         volume =  6s

L = large box number         volume   = 15L

6s + 15 L =243    

  AND      s = L +2  

The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph of the function.
Initially, as xxx increases, yyy

.
The slope of the graph is equal to
for all xxx between x=0x=0x, equals, 0 and x=3x=3x, equals, 3.
Starting at x=3x=3x, equals, 3, the function value yyy

as xxx increases.
The slope of the graph is equal to
for xxx between x=3x=3x, equals, 3 and x=5x=5x, equals, 5.
For xxx between x=0x=0x, equals, 0 and x=4x=4x, equals, 4, the function value yyy

000.
For xxx between x=4x=4x, equals, 4 and x=8x=8x, equals, 8, the function value yyy

000.

Answers

Yes it would be x is increased by y
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