Estimate the area of a rectangle with length 58 foot and a width of 49 foot. Explain.58 rounds to 1, and 49 rounds to 1. The area is about 1 sq ft.58 rounds to 23, and 49 rounds to 23. The area is about 49 sq ft.58 rounds to 12, and 49 rounds to 12. The area is about 14 sq ft.58 rounds to 0, and 49 rounds to 0. The area is about 0 sq ft.

Answers

Answer 1

Recall that the area of a rectangle is given by the following formula:

Area = length * width

then using our values for length and width we replace them in the formula and obtain...

Area = length * width = 58 ft * 49 ft = 2842 square ft.

If your teacher wants you to round the answer because he/she wants you to do this without a calculator, I would do the following:

58 is close to 60 (which is an easier number for multiplication)

49 on the other han is close to 50 (also an easier number for multiplication)

Therefore we can round the calculation of the area to the following:

Area = 60 * 50 which is approximately 3000 square feet.

This is the way I would try rounding to estimate the area of the rectangle.

One can mentally do the product 5 * 6 = 30, and append to it the two zeros that are included in 60 and in 50.

The values for the length and width of the rectangle are in fact fractions:

Length = 5/8, and width = 4/9

So we round the following way:

5/8 is close to 4/8 (which reduced is 1/2), and 4/9 is close to 4/8 (which reduced is also 1/2)

Therefore the product for the area is going to raound to 1/2 * 1/2 = 1/4

Then please select the THIRD option that you showed in the picture.

Related Questions

Please help! Provide an answer with an explanation to my question & you will receive a 100 points for one question! :)

Answers

Answer:

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solution

Answers

Answer:

x = 18

y = 54

Step-by-step explanation:

90 - 72 = 18

18 + 2x = 3x

18 = x

2(18) = 36

3(18) = 54

72 + y + 54 = 180

126 + y = 180

y = 54

Answer:

Step-by-step explanation:

what is the coefficient of xy^5 in the expansion of (x+y)^6

Answers

(x+y) is the coefficient of xy

what is the quotient of 60,976 divided by 74

Answers

Answer:

824

Step-by-step explanation:

60976÷74

The quotient is 824

Please solve this l am in many problem please please please please help me

Answers

Answer:

h) a+20 = 80 (vert. opp angles)

a = 60

i) 3a+48 = 180

3a = 132

a = 44

a) 3x + 2x = 180

5x = 180

x = 36

∡y = 72

∡z = 108

∡r = 144

∡x = 180-144 = 36

b) p:b = 3:1

4u = 180

u = 45

∡p = 135

∡b = 45

∡q = ∡p = 135 (vert. opp)

∡a = ∡b = 45 (vert. opp)

Answer:

hello,

as i have taken the time to draw the picture

Step-by-step explanation:

Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, G for garbanzo beans, P for pepperoni, S for shrimp, R for ranch, and I for Italian.

When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, garbanzo beans. Also, you will add one of following meats: pepperoni, shrimp. Lastly, you will decide on one of the following dressings: ranch, Italian.

Answers

Sample space for the given experiment is:

OGRI, OGRS, OGII, OGIS, OPRI, OPRS, OPII, OPIS, GGRI, GGRS, GGII, GGIS, GPRI, GPRS, GPII, GPIS.

What is sample space?

In probability theory, the sample space is the set of all possible outcomes of a random experiment or process. The sample space of an experiment refers to the set of all possible outcomes that can occur when the experiment is conducted. In this case, the experiment is choosing toppings for a salad at a restaurant. The sample space would consist of all possible combinations of the toppings and dressings that can be chosen.

There are two choices for the extra toppings: olives or garbanzo beans. There are also two choices for the meat: pepperoni or shrimp. Lastly, there are two choices for the dressing: ranch or Italian.

To find the sample space, we can list out all possible combinations of these choices. Using the given letters to represent each choice, the sample space would be:

{OGI, OGI, OPI, OPS, ORI, ORG, OGS, OPI, OPS, OSI, OSG, OSI, GGI, GPI, GPS, GRI, GRG, GGS, GGI, GPI, GPS, GSI, GSG, GSI}

This set contains all 24 possible outcomes that can occur when selecting toppings and dressing for the salad.

To learn more about sample space visit:

https://brainly.com/question/10558496

#SPJ1

Complete question:

Write out the sample space for the given experiment. Use the following letters to indicate each choice:

The amount of money raised during a competing fund-raising campaign is modeled by the function M defined by M(t)=240(2t−1)(2t+36), where M(t) is measured in United States dollars and t is the time in days since that campaign began. According to this model, is there a time t, for 0≤t≤2, at which the amount of money raised is 10 dollars? Justify your answer.

Answers

Answer:

Step-by-step explanation:

If the amount of money raised during a competing fund-raising campaign is modeled by the function M defined by M(t)=240(2t−1)(2t+36), where M(t) is measured in United States dollars and t is the time in days, to get the time t if the money raised is 10 dollars, we will substitute M = 10 into the modeled function and calculate the value of t

M(t)=240(2t−1)(2t+36)

10=240(2t−1)(2t+36)

1 = 24(2t−1)(2t+36)

open the parenthesis

1 = 24(4t²+72t-2t-36)

1 = 96t²+1680t-864

96t²+1680t-865 = 0

On factorizing, t = 2 is not a factor of the expression. Hence there is not a time within the interval 0≤t≤2, at which the amount of money raised is 10 dollars

Would you mind the window ?

Answers

I don’t know can I ???

Help pleaseee!! I will give brainlist

Answers

The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

Calculating the length FE

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

Calculating the measure of arc AE

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

Answers

31/3: 2/3= 5
5X6=30
All you have to do is divide 31/3 by 2/3 and it equals 5 then 5X6=30

the number of pancake does it make from 3 1/3 cups of pancake is 30 pancakes.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

2/3 of a cup of pancake mix makes 6 pancakes

2/3 pancake mix = 6 pancakes

multiply 3/2 both side :

1 pancake mix = 6x3/2 pancakes

1 pancake mix = 9 pancakes

Now to find the number of pancake does it make from 3 1/3 cups of pancake mix multiple 3 1/3 both side That is :

3 1/3 pancake mix = 9 x 10/3 pancakes

3 1/3 pancake mix = 30 pancakes

Therefore, the number of pancake does it make from 3 1/3 cups of pancake is 30 pancakes.

Answers

Answer:

Step-by-step explanation:

I did the math

Answer:

Step-by-step explanation:

what is 11/4 times 4/9

Answers

Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

$(11/4)(4/9) = (11*4/4*9)$

We can cancel the 4s from the numeratorand denominator to get,

$(11*4/4*9) = (11*1/1*9) = 11/9\\=11/9$

The answer is 11/9

HELPPPPPP !!!!!!!!!!!!
! 25 ~! points

Answers

The correct answer is 76

Step by step

Is

Below

Given: Prove: Three lines AD, CF, and BE are intersecting each other at the midpoint O Complete the proof. It is given that and . By the , . Therefore, . By the , , and by the , . After application of the ,

Answers

Answer:Given: Three lines AD, CF, and BE intersect at point O such that and

To prove: O is the midpoint of all three lines, i.e., AO = BO = CO

Proof:

Since point O lies on line AD, we can write

(1) AO + OD = AD

Similarly, since O lies on line BE, we have

(2) BO + OE = BE

Also, since O lies on line CF, we have

(3) CO + OF = CF

From the given information, we have

(4) AD = BE

Substituting (4) in (1) and (2), we get

(5) AO + OD = BO + OE

Adding (3) to (5), we get

(6) AO + BO + CO + OD + OE + OF = AD + BE + CF

From the given information, we have

(7) CF = AD + BE

Substituting (7) in (6), we get

(8) AO + BO + CO + OD + OE + OF = 2AD + 2BE

Since we know that AD = BE, we can simplify (8) as

(9) AO + BO + CO + OD + OE + OF = 4AD

Dividing both sides of (9) by 4, we get

(10) AO + BO + CO = AD

But from (4), we also know that AD = BE, so we can write

(11) AO + BO + CO = BE

Dividing both sides of (11) by 2, we get

(12) AO = BO = CO

Hence, we have proved that O is the midpoint of all three lines, i.e., AO = BO = CO.

Step-by-step explanation:

A company has developed a new video game console. After completing cost analysis
and demand forecasts, the company has determined that the profit function for the
new console is p(c) = -250c^2 + 70,000c - 4,570,000, where c is the number of
consoles sold. What is the domain of the profit function?

a. all integers
b. all rational numbers
c. all integers greater than or equal to zero
d. all rational numbers greater than or equal to zero

Answers

Answer: C

Step-by-step explanation:

The domain of the profit function is (c) all integers greater than or equal to zero.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that,

A company has developed a new video game console.

After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is,

P(c) = -250c² + 70000c - 4,570,000

where c is the number of consoles sold.

Here domain is the number of consoles sold or c.

The number of consoles cannot be negative and fractions.

So the domain does not contain all integers and all fractional numbers which are rational numbers.

So the domain is all integers greater than or equal to zero.

Hence the correct option is (c).

Learn more about Profit Functions here :

https://brainly.com/question/16505782

#SPJ2

Explain how to determine the zeros of the polynomial f(x)= x³ + (b-a)x² - abx
for the positive real numbers a and b.

Answers

The zeros of the polynomial f(x)= x³ + (b-a)x² - abx for the positive real numbers a and b are 0, a, and -b.

What is polynomial?

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.

Given:

f(x) = x³ + (b-a)x² - abx

Take x common on the right side as shown below,

f(x) = x [x² + (b - a)x - ab]

Factorize the term as shown below,

f(x) = x (x - a)(x + b)

Plug the zero on the left side to find the zeros,

0 = x (x - a)(x + b)

x = 0,

x - a = 0,

x = a

x + b = 0,

x = -b

Thus, the zeros are 0, a, and -b.

To know more about polynomials:

https://brainly.com/question/20121808

#SPJ1

Rotation 90° clockwise about the origin
N
O
G

Answers

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

What is a rotation?

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y) → (y, -x)

Point N = (-4, -1) → Point N' (-1, 4)

Point O = (-4, -3) → Point O' (-3, 4)

Point G = (0, -1) → Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

I need help with this

Answers

Answer:

Step-by-step explanation:

Which of these constructions must be completed first in order to construct the inscribed circle to triangle QRS?
A. The perpendicular bisectors of QR
B. The bisectors of C. The median to RS
D. The Altitude to QS

Answers

The constructions which must be completed in order to construct the inscribed circle to triangle QRS is; Choice A; The perpendicular bisectors of QR.

Construction of inscribed circle

It follows from the task content that;

The circle is intended to be constructed so that it stays within the triangle.

On this note, it follows that the first construction in order to construct the inscribed circle to triangle QRS is; The perpendicular bisectors of QR.

Answers

Answer:

Negative Correlation

The variable x - value increases as y- value decreases is called negative correlation.

Step-by-step explanation:

Explanation:-

Negative correlation:-

The negative correlation is a relation between two variables such that they are part of a function in which depends and independent variables move in different directions in terms of value.

Positive correlation

The variable x - value increases as y- value increases is called positive correlation.

Negative Correlation

The variable x - value increases as y- value decreases is called negative correlation.

No correlation

There is no pattern between two variables

there is no connect between two variables is called No - correlation

What is the probability that Erika will get to move ahead on this spin.

Answers

total outcomes=8

move ahead outcome=4

probabilty of move ahead =4/8=1/2

Thus the answer is 1/2.

what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters

Answers

Answer:

5 meters

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

;)

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function G(t) = (- 8t ^ 2 + 56t)/(t ^ 2 + 3t + 2) where the time, t, is hours after injection. Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.

Answers

Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.

The domain of the function is t ≥ 0

The greatest concentration of the medication is 5mg/L

Given that:

C(t) = $\frac{-8t^2 + 56t}{t^2 +3t + 2}$

(a): The domain of the function

Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.

t, cannot take negative values (i.e. it is not possible to have a negative time).

The least possible value of t is 0

So, the domain of the function based on the context is: t ≥ 0

(b) The greatest concentration of the medication

From the graph (see attachment), the maximum y-value is 5.

Hence, the greatest concentration of the medication is 5 mg/L

Learn more about functions and graphs here:

https://brainly.com/question/18806107

#SPJ10

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate

f(x)=2x+4what's the inverse function

Answers

to find the inverse, interchange the variables and solve for y
hope this helps!

Select all the equations that are NOT equivalent to p – 7 = 22.

p – p – 7 = 22 – p
p – 7 – p = 22 – p
p – 7 + 22 = 22 – 7
p – 7 + 7 = 22 – 22
p – 7 + 7 = 22 + 7

Answers

Step-by-step explanation:

p-p-7=22- p

p-7-p = 22 - p

p-7+7 = 22+7

what is the probability that the total time taken by a random sample of 50 customers is less than 180 minutes

Answers

Answer:

"Hence the probability that the total time taken by a random sample of 50 customers is less than 180 is 0.0778."

Step-by-step explanation:

Help!

Write and evaluate an expression for the problem.

You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?

An expression is:

The change received is:$

Answers

Answer: The change received is $8.00

Step-by-step explanation:

20-12=8

-4x + 21 > -3
What could x be??

Answers

Answer:

x < 6

Step-by-step explanation:

subtract 21 on both sides

-4x > -24

divide both sides by -4 and flip the sign (bc you're dividing by a negative)

x < 6

What is the equation of the line passing through (-5, - 3)
and perpendicular to the line representing the equation
y=-3x+2?
Select one:
O
y = -
5 46
7-T
O ;=x+4
=ין
0 = 2 + 1/3
O
1=
ل |
3x - 10

Answers

Answer:

y=7/5x+4

Step-by-step explanation:

the other ones either are to low on the graph to hit -5-3 or they are parallel instead of perpendicular to the given equation

Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?

Answers

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

How to determine which day of the week was their exam scheduled

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Other Questions

figure q10.12 is the energy bar chart for a firefighter sliding down a fire pole from the second floor to the ground. let the system consist of the firefighter, the pole, and the earth.a) What is the bar height of Wext?Express your answer as an integer.b) What is the bar height of Kf?Express your answer as an integer.c) What is the bar height of UGf? (the answer is 0) Early warning systems typically use ____________________ to flag officers who may be prone to problems when interacting with the public. which advanced training technique is described as completing one set of an exercise until failure before immediately lowering the weight and continuing the set until failure again? multiset rationalise the denominator and simplify the square root of 15 over the square root of 5 Which would be the best title for this timeline?A. President Reagan yields to Soviet pressure.B. President Reagan achieves a balanced federal budget.C. President Reagans policies lead to stagflation.D. President Reagan pursues Peace through Strength." a 650-n billboard worker stands on a 4.00-m scaffold weighing 600 n and supported by vertical ropes at each end. how far would the worker stand from one of the supporting ropes to produce a tension of 660 n in that rope? Vectors u and v are shown on the graph.Which of the following vectors represents v u? It seems to me as if these beautiful regions answer literally to the description of the land of promise, "a land flowing with milk and honey;"In these words from the second paragraph, what literary device does the author employ? Reflect on a time when you questioned or challenged a belief or idea. What prompted your thinking? What was the outcome? Answer in about five-ten sentences. what is the length of the midsegment of this trapezoid? enter your answer in the box. Two charged baseballs each have a mass of 0.145 kg. If the charge on each baseball is 2.0 mC. and they are initially 4.0 m apart and at rest, what will be their speeds after a long time has passed in m/s? in a survey, 19 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $40.7 and standard deviation of $9.2. estimate how much a typical parent would spend on their child's birthday gift (use a 80% confidence level). give your answers to 3 decimal places. a funny car accelerates from rest through a measured track distance in time t with the engine operating at a constant power p. if the track crew can increase the engine power by a differential amount dp, what is the change in the time required for the run? (use any variable or symbol stated above as necessary.) Gretta plays basketball, lifts weights, and performs a difficult fitness program every week. She uses an online calculator to figure out her body mass index (BMI) and gets a result of 30, which tells her she's obese. She mentions her shock about this to her friend Curtis. How BEST could Curtis respond to Gretta?Question 3 options:This just shows that Gretta needs to push herself even harder.Online calculators for BMI produce random, unreliable results.It's not Gretta's obesity that matters, it's her ability to reach her goals.Gretta's muscle tone may be a large part of the reason for her high BMI. how old is the earth Prove that the difference between quare of conecutive even number i alway a multiple of 4let n tand for any integer in your working calculate the force exerted by air on a disk of radius 1.00m at the water's surface Information collected from commercial online databases or through Internet search engines are examples of ________ data. how do you think the germans felt when the fourteen points they had initially agreed to changed so dramatically in a particular supermarket, the probability of waiting 4 minutes or longer for checkout at the cashier's counter is 27.7 %. on a given day, a man and his wife decided to shop individually at the market, each checking out at different cashier counters. they both reach the cashier counters at the same time. what is the probability that one or the other or both will wait 4 minutes or longer?