Find the error in Bella’s reasoning and explain how she should have solved this problem .

Find The Error In Bellas Reasoning And Explain How She Should Have Solved This Problem .

Answers

Answer 1

Answer:

[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]

Step-by-step explanation:

The figure is a combination of rectangle and a quarter of a circle.

Therefore,

                    Area = Area of rectangle x Area of quarter of the circle

                             [tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]

Bella took the sum of area of rectangle and area of entire circle.

That is why Bella is wrong.


Related Questions

If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?

students

Answers

Answer:

The answer is 74

Step-by-step explanation:

First you need to find the number of student in total so just multiply 26 by 3 which is 78.

Then after since there are 4 students absent subtract 4 from 78 which is 74.

A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?

Answers

90% off means is is selling for 10% of the original price.

Multiply original price by 10%

107 x 0.01 = $10.70

It is selling for $10.70

Which expression is equivalent to m² - 13m - 30?​

Answers

Answer:

[tex](m−15)(m+2)[/tex]

Step-by-step explanation:

[tex] m² - 13m - 30?[/tex]

Formula :

[tex] {x}^{2} +bx+c[/tex]

[tex](m−15)(m+2)[/tex]

Hope it is helpful...

Could someone help me please if you don’t mind thank you so much!

Answers

Answer:

m = 11

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.

Answers

Answer:

The dependent variable is h and the independent variable is t

Step-by-step explanation:

Given

[tex]h(t) = 4t + 5[/tex]

Required

The dependent and the independent variable

The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.

In the above equation, the height (h) depends on time (t) for its value

Hence,

The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t

two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO​

Answers

Answer:

ss

Step-by-step explanation:

s

Abox of twelve granola bars was $3.60. What was the unit cost per bar?

Answers

Answer:

cost of 12 bars = $3.60

cost of 1 bar = $3.60 ÷ 12

= $0.3

hope it helps

have a nice day

Answer:

$0.30

Step-by-step explanation:

12 granola bars = $3.60

1 granola bars = $3.60/12 = $0.30

−5x+2y=9
y=7x


solve the system of equation

Answers

Here to solve the equation we need to plug in the value y as given. -5x+2(7x)=9. -5x+14x=9. 9x=9. X=1.

is x+6 a factor of f(c)=-x^2+6x?

Answers

Yes.x+6 is a factor of f(x)=-x^2+6x

Answer:

no

Step-by-step explanation:

f(x) = -x^2 + 6x

The right side has a common factor. It is x.

Factor x out on the right side.

f(x) = x(-x + 6)

When the common factor x is factored out, the remaining factor is -x + 6.

-x + 6 is not equal to x + 6.

Answer: no

please answer this !!!
5x + 100​

Answers

x = 16°

Step-by-step explanation:

The sum of angles in a straight line = 180°

Therefore

5x + 100° = 180°

5x = 180° - 100°

5x = 80°

x = 80/5

x = 16°

X would equal sixteen.

Given circle and circle with radii of 6cm and 4cm respectively.




Compare the length of EF and GH.




The length of EF is ____the length of GH



The length of EF is___



The length of GH is ___

Answers

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

[tex]\angle EAF = \theta = 140^\circ[/tex]

The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 14.653 cm

In circle C

[tex]\angle GCH = \theta = 140^\circ[/tex]

The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             


Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge

Answers

C. To emphasize a dangerous situation

If f(1) = 2 and f(n) = f(n − 1)2 + 3 then find the value of f(3).

Answers

Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

Kinda need some help

The number 4 in 8^4 is called
the..

A)Base

B)variable

C)Exponent

D)Term

Answers

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

The 4 in 8^4 is called an Exponent (C)

what is 2+a when a=22?

Answers

work: 2+22=24
answer:24

Answer:

24

Step-by-step explanation:

2+a

2 + (22)

= 24

Check whether (0, -2) is solution of the equation x - 2y = 4 or not

Answers

Answer:

Step-by-step explanation:

Plugin x = 0 & y = -2 in the LHS of the equation. After substituting, if you get the RHS, then this point is the solution of the equation.

x - 2y = 0 - 2*(-2)

         = 0 + 4

         = 4  = RHS.

(0,-2) is solution of the equation.

Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.

Answers

2,4,6,8,10,12,14,16,18,20,22,24!.. so 2 x 12= (24).....

analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.

(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.

(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.

(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.

Use the above illustration to answer your question.

Answer:

C: Both distributions are skewed right.

Step-by-step explanation:

How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep

Answers

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

Given that, We are laying a concrete border around a circular pond.  The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

The area of the concrete border

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

The concrete needs to be 50 millimetres deep.

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

We are using premixed bagged concrete.

1 cubic metre requires 106 x 20 kg bags.

So For the number of bags

106 * 2.8275 = 299.715 ≈ 300bags

300 bags of 20 kg of premixed concrete We need

One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?

Answers

Answer:

The first number (x) = 8

Step-by-step explanation:

Let x = the first number

Let y = the second number

x = 3*y - 4

2x + 3 - 2y = 11        Subtract 3 from both sides

2x - 2y = 11 - 3

2x - 2y = 8              Divide by 2

x - y = 4                   Add y to both sides

x = y + 4                  Now go back to the very first equation. Substitute for x

y + 4 = 3y - 4          Subtract y from both sides

4 = 3y - y - 4

4 = 2y - 4                Add 4 to both sides

4 + 4 = 2y

8 = 2y                     Divide by 2

8/2 = y

y = 4

x = 3y - 4

x = 3*4 - 4

x = 12 - 4

x = 8

(20 points) thanks so much!!

Answers

Step-by-step explanation:

Let us say x=2 and y=1

Using the formula,

=>((2^2)-(1^2))^2+(2(2)(1))^2=((2^2)+(1^2))^2

=>(4-1)^2+(4)^2=(4+1)^2

=>(3)^2+(4)^2=(5)^2

Which is pythogorian triplet

URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.

Answers

In the second quadrant, both cos and tan are negative while only sin is positive.

To find tan, we will use the following property below:

[tex] \large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}[/tex]

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

[tex] \large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }[/tex]

Since tan is negative in the second quadrant. Hence,

[tex] \large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}[/tex]

Answer

tan = -√5/2

Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of the apples to make some pies. How many apples are left?

Answers

Answer:

132.8 are left enjoy

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
24 yd
30 yd
35 yd
16 yd
18 yd
38 yd​

Answers

Answer:

The length of the missing side is 18yd

Step-by-step explanation:

Sq30 - Sq 24 = Sq (x)

Emma wants to give someone 5.2m every day she can donate 10k how long will it take her to donate 5.2m?

Answers

Answer:

520 days

Step-by-step explanation:

--------------------------------------

5.2 million = 5,200,000

10 thousand = 10,000

5,200,000 ÷ 10,000 =

= 520 days

---------------

Hope this helps.

Answer:

520 days

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

It's a quartile question.

Answers

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

I need help with this

Answers

Answer:

angle B is 38°

Step-by-step explanation:

all angles in a triangle has to equal 180°.

So first find the measurement of angle BAD. This is done by subtracting angle of CAD=46° from the total angle CAB=78° to get 32° for angle BAD. So if angle ADB is 110° and angle BAD is 32° which equals (110+32=) 142.

Then take 180 - 142 = 38°

Answer:

38

Step-by-step explanation:

We can see that A is equal to 78. We can also see that CAD is equal to 46. Therefore BAD is equal to 32. Add 32 and 110 together to get 142. Subtract 142 from 180 to get 38.

Hope that this helps!

Please help me kitty

Answers

Answer:

Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.

Answer:

Hi how are you will u friendship with me plz

What is the slope of the line that passes through the points (3,2) and (-4,3)?​

Answers

Answer:

slope = 1/-7

Step-by-step explanation:

We have two points which are (3,2) and (-4,3) .

To find slope , use the slope formula

m = ( y² - y¹ ) / ( x² - x¹)

Where,

m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)

substitute the values

m = ( 3 - 2 ) / ( - 4 - 3)

m = 1/-7

Hence, slope of line is 1/-7

Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654​

Answers

Step-by-step explanation:

câu trả lời là trong hình ảnh trên

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