A parallelogram is made up of a rectangle with a base of 12 centimeters (cm) and a height of 5 cm, and two triangles, each with a base of 2 cm and height of 5 cm. Jeremy calculates the area of the parallelogram by multiplying the base and height of the rectangle to get 60 cm2.
Is Jeremy's answer correct? Why or why not?

Select the option that correctly answers both questions.

No, he forgot to multiply by 12 when calculating the area of the rectangle.

Yes, he correctly calculated the area of the parallelogram as b⋅h.

No, he forgot to add the area of the triangles to the area of the rectangle.

Yes, he correctly calculated the area of the parallelogram as 12bh.

Answers

Answer 1
No, he forgot to add the area of the triangles to the area of the rectangle.

It is said that Jeremy thought he solved for the area of the whole parallelogram correctly by multiplying the base and height of the rectangle, which is just a part of the whole parallelogram.

Jeremy’s answer is incomplete, he only calculated the area of the triangle as the answer.

This is because one way of finding an area of a parallelogram is dividing the shape into a rectangle with a triangle on each side.

The real area of the parallelogram is 70 cm^2
(with areas of each triangles added)

With that being said, the formula of a parallelogram that is said is:
A = bh
Which means a height perpendicular to the base of the whole paralleogram.

Related Questions

Help please :) Whoever helps and gets answer correct gets Brainliest!

Answers

Answer:

1/8 is the slope

Step-by-step explanation:

Answer:

slope = 8

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{1}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 26) and (x₂, y₂ ) = (2, 34) ← 2 ordered pairs from the table

m = [tex]\frac{34-26}{2-1}[/tex] = [tex]\frac{8}{1}[/tex] = 8

Find the area of the triangle which the line 2x – 3y +6=0 forms with the coordinate axis.

Answers

2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.

That means the 2 sides of the right triangle are 2 and -3

Area of triangle= 1/2×base×height

                         = 1/2×-3×2

                         =-3

∴ Area of the triangle=-3

The area of the asked triangle is 3 sq units.

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a triangle is formed by the line 2x – 3y +6=0 and the coordinate axis.

When we plot the graph of the line, we get, y-intercept = 2 and x-intercept = -3

Hence, the height and base of the triangle will be 2 and 3 respectively.

Area of a triangle = 1/2 (base) (height)

Area = 1/2 (2)(3)

Area = 3

Hence, the area of the asked triangle is 3 sq units.

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Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

Solve for X. Round to the nearest tenth, if necessary. Please help

Answers

Answer:

X=1.2/1.3

answérica is 1.25, depends on how you want to round

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
5x – 4y = -4

Answers

4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4

Answer:

[tex]\boxed {\boxed {\sf y= \frac{5}{4}x+1}}[/tex]

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

[tex]y=mx+b[/tex]

Where:

m= slope b= y-intercept

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

[tex]5x-4y= -4[/tex]

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

[tex]5x-5x-4y=-4-5x[/tex]

[tex]-4y=-4-5x[/tex]

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

[tex]\frac {-4y}{-4}=\frac{-4-5x}{-4}[/tex]

[tex]y= \frac{-4}{-4}+\frac{-5x}{-4}[/tex]

[tex]y=1+\frac{5}{4}x[/tex]

Rearrange the equation.

[tex]y= \frac{5}{4}x+1[/tex]

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is [tex]\bold {y= \frac{5}{4}x+1}}[/tex].

The slope is 5/4 and the y-intercept is 1.

Given the functions below, find f(x) - g(x) f(x) = 3x^2 + 2x + 1 g(x) = x^2 - 6x + 3

Answers

Answer:

Here is your answer.....

Hope it helps....

The value of given function f(x) - g(x) is 2x² + 2x + 1.

What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

Given,

                  f(x) =3x² + 2x + 1

                  g(x) = x² - 6x + 3

f(x) - g(x) = ( 3x² + 2x + 1) - ( x²- 6x + 3)

              = 3x² + 2x +1 - x² + 6x - 3

              = 2x² +8x - 2

Therefore , the value of given function f(x) - g(x) is 2x² + 2x + 1.

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Household Size Probability 1 0.04 2 0.09 3 0.14 4 0.20 5 0.29 6 0.14 7 0.08 8 0.02 a. What is the probability that there are less than 5 members in a household in India

Answers

Given:

Probability distribution table is:

Household Size :   1            2          3           4          5         6         7          8

Probability          : 0.04     0.09     0.14     0.20     0.29    0.14    0.08   0.02

To find:

The probability that there are less than 5 members in a household in India.

Solution:

Let x be the number of members in a household. The probability that there are less than 5 members in a household in India is:

[tex]P(x<5)=P(x=1)+P(x=2)+P(x=3)+P(x=4)[/tex]

[tex]P(x<5)=0.04+0.09+0.14+0.20[/tex]

[tex]P(x<5)=0.47[/tex]

Therefore, the probability that there are less than 5 members in a household in India is 0.47.


Henry rolls a fair dice 42 times.
How many times would Henry expect to roll an odd number?

Answers

Answer:

You should get 21 odds

Step-by-step explanation:

There are 6 possible outcomes on a fair die

1,2,3,4,5,6

3 of the outcomes are odd

1,3,5

P(odd) =  odd outcomes/ total = 3/6 =1/2

Rolling 42 times

number of times * P(odd)

42*1/2 = 21

You should get 21 odds

the length of each side of a triangle is in the ratio 4 : 5 : 9. the length of the longest side is 27cm. Find the perimeter of the triangle.

Answers

Answer:

54 cm

Step-by-step explanation:

27:9=3

4+5+9=18

3×18=54

7(x-9y) need an answer

Answers

Answer:

7x - 63y

Step-by-step explanation:

Given

7(x - 9y) ← multiply each term in the parenthesis by 7

= 7x - 63y

21. Gabe Amodeo, a nuclear physicist, needs 80 liters of a 30% acid solution. He currently has a 20% solution and a 60%
solution. How many liters of each does he need make the needed 80 liters of 30% acid solution?
Gabe needs
liters of the 20% solution.
He also needs
liters of the 60% solution.

Answers

Let x be the amount (in liters) of 20% solution that Gabe uses, and y the amount (also in L) of the 60% solution.

He needs 80 L of 30% solution, so that

x + y = 80

0.20x + 0.60y = 0.30 (80) = 24

Solve for y in terms of x :

y = 80 - x

Substitute this into the second equation and solve for x :

0.20x + 0.60 (80 - x) = 24

0.20x + 48 - 0.60x = 24

24 = 0.40x

x = 60

Solve for y :

y = 80 - 60

y = 20

Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?

Answers

the answer is B. an = 13 + 14(n-1)

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 82% confidence interval to 25 points, how many students should the administrator sample

Answers

Answer:

The appropriate solution is "259".

Step-by-step explanation:

According to the question,

[tex]\sigma = 300[/tex]

[tex]M.E=25[/tex]

At 82% CI,

[tex]\alpha = 0.18[/tex]

Critical value,

[tex]Z_c=1.341[/tex]

Now,

The sample size will be:

⇒ [tex]n=(Z_c\times \frac{\sigma}{E} )^2[/tex]

By substituting the values, we get

      [tex]=(1.341\times \frac{300}{25} )^2[/tex]

      [tex]=(1.341\times 12)^2[/tex]

      [tex]=259[/tex]

If x = y, then x – a = y – a represents the ________ property of equality.

Answers

Answer:

Subtractive Property of equality

Step-by-step explanation:

Since x = y, When you subtract anything from x, you must do the same to y for them to stay equal.

Answer:

Subtraction property of equality

What is the average
number of 4th graders per
class from the table above?

Answers

Answer:

29

Step-by-step explanation:

You need to find the average number of students

Add up all the students

27+31+28+33+26

145

Divide by the number of classes

145/5

29

The average is 29

32

Step-by-step explanation:

answer of number 30 is 32

...............................................................

Answers

You got a question...or..?

(9,2) and (5,-4) find the slope of the line containing the pair of points

Answers

Answer:

3/2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( -4-2)/(5-9)

    = -6/-4

    =3/2

Function: g(x) = 2x2 - 8


Answers

Answer:

f(x)= √ 1 2 x + 4 For x ≤ 0

Step-by-step explanation:

What is the constant of variation k of the direct variation y=KP through (-3, 2)

Answers

Answer:

isisis

Step-by-step explanation:

ISO’s

Answer:

-2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.

Can someone please help me with this.

Answers

f(a)= -3a+2b

Hope this helps!

What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?

Answers

Answer:

General equation of line:

[tex]{ \bf{y = mx + c}}[/tex]

Find y-intercept:

[tex]{ \tt{ - 1 = ( - 3 \times 10) + c}} \\ { \tt{c = 29}}[/tex]

Equation of line:

[tex]{ \bf{y = - 3x + 29}}[/tex]

Select the correct answer from each drop-down menu.

The given composite shape has an area of (72,78,66,84) cm2 and a perimeter of (42,47,40,33) cm.

Answers

Answer:

78 cm²

42 cm

Step-by-step explanation:

To obtain the area of the shape given :

The figure is divide into three different rectanglular parts :

Recall, area of a rectangle = Length x width :

Rectangle 1 : 9* 6 = 54 cm²

Rectangle 2 = 6 * 2 = 12 cm²

Rectangle 3 = 4 * 3 = 12 cm²

Total area = (54 + 12 + 12). = 78 cm²

Perimeter = sun of the exterior sides of the shape

Perimeter = (9 + 8 + 3 + 4 + 3 + 6 + 3 + 6) = 42 cm

15 POINTS PLS HELP MATHEMATICS

7(2e−1)−3=6+6e

Solve for e

Answers

Answer:

e=2

Step-by-step explanation:

7(2e−1)−3=6+6e

Distribute

14e -7 -3 = 6+6e

14e -10 = 6+6e

Subtract 6e from each side

14e-6e -10 = 6+6e-6e

8e -10 =6

Add 10 to each side

8e -10+10 = 6+10

8e = 16

Divide by 8

8e/8 = 16/8

e=2

A scale drawing of a square desk is ¼ inch to 1 foot. The actual desk is 50 feet wide. What is the area of the desk in the model?
156.25 in2
40000 in2
625 in2
10000 in2

Answers

Answer:

Step-by-step explanation:

what is proportion as applied in mathematics​

Answers

Answer:

como se siente el actor al presentar la obra hola

Calculate the mean of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3

Answers

Answer:

6.22

Explanation:

add up all the numbers, then divide by how many numbers there are

A university professor asked his class of 42 students when they had studied for his class the previous weekend. There responses were. please answer part a, b and c

Answers

ANSWERS:

a) 16 students

b) 25 students

c) 2 students

STEP BY STEP:

There are 42 students in total. This question can be solved by "Principal of Inclusion and Exclusion"

Question a)

The students that studied on Sunday in total with overlaps is 30. To figure out the students that ONLY studied on Sunday you need to first minus the overlaps in the combos:

the combos:

3, 10, 6, 2

Since the last combo included all of the other dates, we need to minus it:

1, 8, 4, 2

Now we can use the total of Sunday and minus the combos that includes Sunday:

30 - (4 + 2 + 8)  = 16 students

Question b)

To figure out all the students that only studied on ONE day, not 2 not 3, just one day. We need to figure out the students that studied for Saturday and Friday using the same method before for figuring out Sunday:

Friday: 9 - 4 - 1 -2 = 2 students

Saturday: 18 - 1 - 2- 8 = 7 students

and now add them all together: 2 + 7 + 16 = 25 students

That is the total number of students that studied on one day.

Question c)

Now for the numbers of students that didn't study... We can just use the total to minus everything else!

42 - (25 + 1 + 4 + 8 + 2) = 2 students!!!

And thats all done!  If you still don't get it, please ask!

In a tram, 12% of the passengers go without a ticket. What can be the largest number of passangers in the tram, if its not greater than 60

45 POINTS

Answers

Answer:

Approximately 53 passengers

Step-by-step explanation:

12% of the passengers go without a ticket
so that means 88% of the passengers go with ticket

The largest number of passengers in the tram cannot be greater than 60

Solution:

Set up the dimensions this way:

•part/whole = part/whole

•88%/100% = ?/60
________________________

Then multiply 60 x 88

60 x 88 = 5280

Then divided 5280 by 100

5280 divided by 100 = 52.8

________________________

So the largest number of passengers in the tram is approximately 53

What is the radius of the circle if the circumference is 18 pi centimeters

Answers

Answer:

9cm

Step-by-step explanation:

Circumference formula = 2piR

To calculate radius

The equation becomes

2piR = 18pi

R = 18pi/2pi

= 9cm

The edges of a rectangle solid have lengths 2x,3xand 5x.what is the total surface area of the solid ?

•30x^2
•60x^2
•62x^2
•30x^3

Answers

Answer:

30x³

Step-by-step explanation:

2x×3x=6x²

6x²×5x=30x³

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