Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot. Explain
1. 5/8 rounds to 1, and 4/9 rounds to 1. The area is about 1 sq ft.
2. 5/8 rounds to 2/3, and 4/9 rounds to 2/3. The area is about 4/9 sq ft.
3. 5/8 rounds to 1/2, and 4/9 rounds to 1/2. The area is about 1/4 sq ft.
4. 5/8 rounds to 0, and 4/9 rounds to 0. The area is about 0 sq ft.
Pick one

Answers

Answer 1

Solution:

Step-1: Find the area of the rectangle.

Area of rectangle = L × B

L = 5/8 foot; B = 4/9 foot

=> Area of rectangle = 5/8 × 4/9=> Area of rectangle = 20/72 = 10/36 foot²

Step-2: Verify all the options.

Option A => 1 ft² => 36/36 ft² Option B => 4/9 ft² => 16/36 ft² Option C => 1/4 ft² => 9/36 ft²Option D => 0 ft² => 0/36 ft²

Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.

Thus, Option C is correct.


Related Questions

Mandy is trying to subtract 9 - 10, and she has asked you for help. How would you explain the process of solving the problem to Mandy, using an number line?

Answers

What are the options after clicking the select button I can help you when I know them(tell me in the comments)

The initial number of carbon-14 atoms in the organism at death is
.

After 11,460 years, there will be
carbon-14 atoms in the organism.

After
years, there will be 24.298 carbon-14 atoms in the organism.

Answers

Answer:

5,730 years.

Step-11by-step explanation:

Answer:

The death is 500, there will be 125 carbon-14 atoms, and after 25,000 years.

Step-by-step explanation: I just did it in math edg. HAVE A GREAT DAY!!

Below is a diagram of a rabbit tunnel in the shape of a triangular prism.

What is the volume of the tunnel?

Answers

Answer: 412.5cm cubed

Step-by-step explanation:

Volume of a prism: area of base ( in this case it’s the triangle) times the height

First: half x 90 x 120 = 165

Then times the height

So, 164 x 2.5 = 412.5

The volume of the given pyramid will be 1.35m³.

 

What is a pyramid?

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Volume = area of cross-section × length

Given,

Area of cross-section = area of the base (triangle)

Since the area of the triangle = (1/2)base×height

So,

Area of cross-section = (1/2)1.20×0.90 = 0.54 m²

So,

Volume of pyramid = 0.54 × 2.5 = 1.35 m³.

Hence " The volume of the given pyramid will be 1.35m³".

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What is the area of the rectangle in square units? Explain how you found your answer.

Answers

Answer:

...........

Step-by-step explanation:

The probability of two candidates A and B passing an exam are 2/3 and 3/4 respectively find the probability only one will pass at least one will pass

Answers

Answer:

[tex]\rainbow{\rule{10000pt}{900000pt}}[/tex]

2. Solve for X. SHOW YOUR WORK.
(7x - 25)°
(4x + 2)°

Answers

Answer:

the answer is 9,

Step-by-step explanation:

i looked it up and passed my test with a 100

7. What is the precision of the measurement 4 quarts?
0.1 quarts
4 quarts
O 1 quart
O 10 quarts


Answers

It will be option 3 so the answer is 1 quarts

Nikke has a set of 5 cards numbered 1 through 5. She shuffles the cards at random she repeats the process several times and records the results in the table below based on her results what is the experimental probability of choosing a 1?

Answers

Answer:

20%

Step-by-step explanation:

Zach throws a ball upward so that it follows the equation
y= 16x^2 + 64 +5 where y is the height of the ball and x is time.
How many seconds will it take for the ball to hit the ground?

Answers

Hey there!

=> y= 16x^2 + 64 +5

Let's obtain a formula for x

=> y= 16x^2 + 64 +5

=> y=16x^2+69

=> y - 69 = 16x^2

=> y - 69/16 = x^2

=> y - 4.3125 = x^2

=> x = √y - 4.3125

=> x = y - 2.08

Question error ಠ︵ಠ

Topic 7
Performance Task
Grade
Can Tabs Collected
6th
19 13
pounds
16
171
pounds
7th
8
8th
1
12- pounds
2

Answers

32 pounds

189 pounds

23 pounds

14 pounds

Pls help need asap!!

Answers

Answer:

12 1/4 or 49/4

Step-by-step explanation:

3 1/2= 7/2 so 7/2×7/2=49/4= 12 1/4

Write the equation of the line that goes through (-2,4) and (2,8)

Answers

Answer:
y = x + 6

Explanation:

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.761 b=20.501 r^2=0.643204 r=0.802 Use this to predict the number of situps a person who watches 2 hours of TV can do ( to one decimal place )

Answers

Answer:

The number of situps is approximately 19

Step-by-step explanation:

Regression Line

A regression line is a line that best fits any given dataset in terms of having the smallest overall distance from the line to the points.

Regression lines are useful to forecast the behavior of the dependent variable.

We are given the statistics related to determining if there is a relationship between hours of TV watched per day (x) and the number of situps a person can do (y).

The line is given as follows:

y=-0.761x+20.501

The rest of the parameters can only be used as a reference to evaluate how good the line approaches the dataset.

Now use the line to predict the number of situps a person who watches x=2 hours of TV can do:

y=-0.761*2+20.501

y=19

The number of situps is approximately 19

Between what two ten thousand 105,159 is between

Answers

Answer:

110,000

Step-by-step explanation:

10000,00 because it’s two tens so just add it up twice

Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three non-repeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?

Answers

Answer:

its a or the A135 one

Step-by-step explanation:

because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135

Answer:

A!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50.​

Answers

Step-by-step explanation:

From the question above one can put down an expression as;

(5/7 × -13/25) ÷ (4/15 + (-7/50))

-13/35 ÷ 19/150

-13/35 × 150/19

-390/133


I need help quickly please

Answers

Answer:

Step-by-step explanation:

If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
A.
11°
B.
43°
C.
25°
D.
65°

Answers

Answer:

its C

Step-by-step explanation:

Given m|n, find the value of x.
+
(6x+5)°
(7x-4)

Answers

Answer: 9

Step-by-step explanation:

6x+5 = 7x-4 [alternate exterior angles theorem]5 = x - 4 [subtract 6x from both sides]9 = x [add 4 to both sides]

Which of the binomials below is a factor of this trinomial?

x^2 + 14x + 40

A. x + 4

B. x^2 + 4

C. x + 10

D. x - 9

Answers

Answer:

A , C

Step-by-step explanation:

x² + 14x + 40 = ( x + 4 )( x + 10 )

main formula: x² + ( a + b )x + ab = ( x + a )( x + b )

Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?

Answers

Answer:

8:12

Step-by-step explanation:
The heights of both the pyramids are stated in the question so...
Pyramid A height: 8
Pyramid B height: 12

The ratio is (pyramid A : pyramid B) so our final answer should be...
8:12

Tia wrote a perfect square trinomial on the board, but a value is missing. Which of the following statements must be true?

Answers

Answer:

c

Step-by-step explanation:

i think it's C cause it shows you the 4×

The missing value in the given perfect square trinomial is 20. (option 2)

What is a perfect square trinomial?

A perfect square trinomial is a trinomial that can be written as the square of a binomial.

Given that, Tia wrote a perfect square trinomial on the board, but a value is missing.

The trinomial is =

4x²+?+25

When comparing with (a+b)² = a²+b²+2ab

We get,

a² = 4x²

a = 2x

b² = 25

b = 5

We are asked to find, 2ab,

Therefore,

2ab = 2×2x×5

= 20x

Hence, the missing value in the given perfect square trinomial is 20.

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Which number below is a prime number?
a
O A. 76
B. 79
C. 100
D. 66

Answers

Answer:

79

Step-by-step explanation:

↓ Define Prime number ↓

Prime number ⇒ A positive integer that has no positive integer divisors other than 1 and itself. To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number.

Solve:

76 is not a prime number. The number 76 is divisible by 1, 2, 4, 19, 38, 76.

79 is a prime number. The number 79 is divisible only by 1 and the number itself.

100 is not a prime number. The number 100 is divisible by 1, 2, 4, 5, 10, 20, 25, 50, 100.

66 is not a prime number. The number 66 is divisible by 1, 2, 3, 6, 11, 22, 33, 66.

Hence 79 is a prime number

~Learn with Lenvy~

On a piece of paper, use a protractor to construct a triangle with angle measures of 100° and 30°.
Which statements about this triangle are true?
Select all correct answers.
The third angle measures 50°
The third angle measures 90°
The third angle measures 130°
All sides have different lengths.
Two sides have the same length,

Answers

The third angle measures 50° and all sides have different lengths.

What is a triangle?

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled.

The sum of angles in a triangle is 180 degrees.

A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:

x + 100 + 30 = 180° (sum of angles in a triangle)

x = 50°

Also, all sides have different lengths since all the angles are different.

Find out more on triangle at: https://brainly.com/question/2644832

Answer:

The third angle measures 50°.

The third angle measures 50°.

You have a credit card that has a balance of $3850 at an APR of 13.99%. You plan to pay $300 each month in an effort to clear the debt quickly. How many months will it take you to pay off the balance?

Answers

Answer:

  about 14 months

Step-by-step explanation:

Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.

__

The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.

__

Alternate solutions

You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.

The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.

Putting in the numbers, we get ...

  300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))

  (1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term

  nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...

I need Help plz !? I don’t understand

Answers

4x-40+104 = 180

4x+144 = 180

subtract 144 from both sides

4x = 36

divide both sides by 4

x = 9

Please Help! Locks in 15 minutes! I will Give brainlest and 5 star review!

Answers

I wrote out my work, answer is the 3rd one down. (Also answer is written on the bottom of the sheet)

select the digit in the thousands place for 689,234​

Answers

Answer:

The answer is 9

Step-by-step explanation:

600,000, 50,000, 9,000, 200, 30, 4

Answer:

The remaining number in thousands units is 9

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Plss help mee
you need to show your work

At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)​

Answers

Answer:

$66

explanation:

1/6 of a pie costs $1

11 divided 1/6

11 ÷ 1/6

11 * 6

$66

The school earned total: $66

Answer:

2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

PLSSS HELP ME!! I'll give you 20 points and the brainlest answer.​

Answers

The answer should be this;
11.5(7) + 10.7 (8)= 166.1

166.1+ 85.6=251.7
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