Monica has a triangular piece of fabric. The height of the triangle is 15 inches and the triangle’s base is 6 inches. Monica says that the area of the fabric is 90 square inches . What error did Monica make? Explain your answer.

Answers

Answer 1

Answer:

[tex]let \: area \: be \: a, \: height \: be \: h, \: base \: be \: b \\ a = \frac{1}{2} bh \\ a + \delta \: a = \frac{1}{2} \times (b + \delta \: b)(h + \delta \: h) \\ a + \delta \: a = \frac{1}{2} (bh + b\delta \: h + h\delta \: b + 0) \\ \delta \: a = \frac{1}{2} (b\delta \: h + h\delta \: b) \\ \frac{\delta \: a}{a} = \frac{b\delta \: h + h\delta \: b}{bh} \\ \frac{\delta \: a}{a} = | \frac{\delta \: h}{h} | + | \frac{\delta \: b}{b} | \\ \frac{\delta \: a}{ 90} = \frac{0.5}{15} + \frac{0.5}{6} \\ \delta \: a = 10.5 \: {cm}^{2} [/tex]

error is 10.5

Answer 2

The area of the triangle is 45 square inches.

What is a triangle?

'A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.'

Here, we have,

According to the given problem,

Area of the triangle = (1/2) × 6 × 15

                                = 45 squared inches

Monica, when calculating the area of the triangle, missed out on multiplying 0.5 to the product of base and height.

Hence, we can conclude, the correct area of the triangle is 45 squared inches.

Learn more about Triangles here:

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#SPJ3


Related Questions

After reading a book about ancient Egypt, Cassie decided to build a model of a pyramid out of cardboard

How much cardboard does Cassie need to make the model, including the bottom?

Answers

Answer: 2125 cm^2

Step-by-step explanation:

We will need to find the surface area of the pyramid:

SA = (1/2)Pl(slanted height) + b

SA = (1/2)(25*4)(30) + 25^2

SA = 1500 + 25^2

SA = 2125 cm^2

a: 2,125 ft squared

PLEASE HELP ITS MATH

2x2 + 6x – 7x + 8 – 3x2 + 1
A. 2x2 + x + 9
B. –2x2 – x – 9
C. –x2 – x + 9
D. x2 + 9

Answers

Answer:

C. -x^2-x+9

Step-by-step explanation:

Combine Like Terms:

what we have 2x^2+6x−7x+8−3x^2+1

=(2x^2−3x^2)+(6x+−7x)+(8+1)

=−x^2+−x+9

Answer:

[tex]-x^2-x+9[/tex]

Step-by-step explanation:

[tex]2x^{2} +6x-7x+8-3x^2+1[/tex]

[tex]2x^{2} +6x-7x+9-3x^2[/tex]     Add 8 + 1

Combine like terms

[tex]2x^{2} +6x-7x+9-3x^2[/tex]     [tex]6x-7x=-x[/tex]

[tex]2x^2-x+9-3x^2[/tex]

Combine like terms

[tex]2x^{2} -x+9-3x^2[/tex]              [tex]2x^2-3x^2[/tex]

[tex]-x^2-x+9[/tex]          

The frequency table below will be used to make a histogram.

What is an appropriate scale and interval for this histogram?

A) The scale should be 0 - 10, and the interval should be 10.
B) The scale should be 0 - 15, and the interval should be 5.
C) The scale should be 1 - 10, and the interval should be 5.
D) The scale should be 1 - 15, and the interval should be 10.

Answers

B is the answer to ur question !!

Answer: D) The scale should be 1 - 15, and the interval should be 10.

Step-by-step explanation:

What is the range of possible sizes for side x?

Give the correct answer and I will give you brainlist

Answers

Answer: 1.48

Step-by-step explanation:

D but with 20 more characters respectfully

Pls help if you know the answer! Thanks! :)

Answers

Point C. mostly sry if I am wrong

Answer:

Point D

Step-by-step explanation:

-0.4 - (-0.5)=0.1

0.1÷10=0.01

0.01÷2=0.005

-0.4 - (-0.415)=0.015

Which of the following points could you remove so that the resulting graph is the graph of a function?

A. (-2, -3)
B. (-1, -5)
C. (0, 5)
D. (1, -3)

Answers

Answer:

(1, -3) can be removed so that the resulting graph represents a function. A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y

Step-by-step explanation:

(-2,-3) OR (1,-3) could be removed so that the graph is a function. a function has one x-value for each y-value.

What's √10 + 6√160 step by step pls.
thanks

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{10[/tex] + 6[tex]\sqrt{160[/tex]

=[tex]\sqrt{10[/tex] + 6*4[tex]\sqrt{10[/tex]

=[tex]\sqrt{10[/tex] +24[tex]\sqrt{10[/tex]

=(1+24)[tex]\sqrt{10[/tex]

=25[tex]\sqrt{10[/tex]

The answer is 176 I think

What is the range of possible sizes for side x?
Give the correct answer and I will give you brainlist

Answers

Answer:

1.3 > x > 6.7

Step-by-step explanation:

The sizes would be 4.0 - 2.7 and 4.0 + 2.7, so 1.3 and 6.7, so

1.3 > x > 6.7

i believe the answer is 1.3 > x > 6.7

Joe and Marty work for two different landscaping companies. Joe earns a base amount of $15 and $8 per lawn. Marty earns a base amount of $45 and $6 per lawn. Last week, they earned the same amount of money. How many lawns did they each mow?

Answers

Answer:

I belive Joe mowed 51 lawns and Marty mowed 23.

Step-by-step explanation:

Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Joe earns a base amount of $15 and $8 per lawn.

Marty earns a base amount of $45 and $6 per lawn.

Let's suppose they both mow x number of lawns.

Then Joe's total income is given by:

$(15+8x)

And Marty's total income is given by:

$(45+6x)

As they earned the same amount of money, mathematically:

(15+8x) = (45+6x)

15 + 8x - 6x = 45 +6x - 6x   (subtract by 6x on both sides)

15 + 2x -15 = 45 -15              (subtract by 15 on both sides)

2x = 30

x = 15    (divide by 2 on both sides)

If we put x = 15 in Joe's total income expression, we get:

15+8×15 ⇒135

If we put x = 15 in Marty's total income expression, we get:

45+6×15 ⇒135

Thus, Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.

Learn more about the linear equation here:

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PLS HLEP ME THIS IS DUE SO SOON IM FREAKING OUTㅠㅠㅠㅠㅠㅠㅠㅠANSWER BOTH PLSSSSSS

Answers

Sorry man I don’t know
This is so hard omggg

What is the value of p?

Answers

Step-by-step explanation:

70-26= 44°

Might be wrong but hope it helped!

Answer:

Hello! answer: p = 44

Step-by-step explanation:

These are vertical angles!

Meaning that each will equal the same

Since we are given its vertical angle we know that it will have to add up to 70 on the other side as well so...

70 - 26 = 44 therefore p = 44 hope that helps!

a diameter is 20 feet. identify the length of the radius.

Answers

Answer:

The radius is 10 feet.

Step-by-step explanation:

The diameter is always twice as large as the radius so divide the diameter by 2 and you'll get the radius.

20 ÷ 2 = 10

Hope this helps! :D

10 .
because u just take 20 and divided it by 2

A triangle has vertices at (4,2), (-5,5), and (-5,2). What are the coordinates of the vertices of the image
after the translation (x,y) → (x + 1, y - 4)?
. (-5,5) (
The coordinates are (4,2) ►
and (-5,2) ►
Complete the description of the translation.
The triangle is translated
unit(s) to the right and
unit(s) down.

Answers

Answer:

(5, -2), (-4, 1), (-4, -2)

The triangle is translated 1 units to the right and 4 units down.

Explanation:

I'll explain how (4, 2) translated into (5, -2)

so the translation is (x+1, y-4)

u basically just replace x and y with the coordinate of the original vertices

so (4+1, 2-4)= (5, -2)

Hope this made sense and plz give brainliest thx:)

Noooooo it’s definitely Caterpillar

PLEASE HELP ME ASAPPP

Answers

Y=5x+8 is your answer all you need to do is go up 5 on your Y axis and to 8 on your X axis

Y=5x+8 is your answer all you need to do is go up 5 on your Y axis and to 8 on your X axis

show all your work for 3 4 and 5, please

Answers

Answer:

I can't see the picture so I can't sovle it  

Step-by-step explanation:

3. 1/15

explanation:
-3/5 and -2/3 need the same denominator so multiply them so that they equal the same. so multiply -3/5 by 3 and then -2/3 by 5. so that equals: -9/15 -(-10/15). The minis a negative cancels out and it becomes plus. so -9 plus 10 is 1 and 15 stays the same. so 1/15.

4. -5.2

explanation:
a negative (-2.5) subtracted by a technically smaller negative (-5.2) will equal a positive number

5.B

i just used a calculator tbh

Another one please dis test needs to be finished by 3pm

Answers

Answer:

1

Step-by-step explanation:

9-15-3+10

Answer:

Step-by-step explanation:

1/9 (2m - 16) = 1/3 (2m + 4)

Answers

Answer:

m = -7

Step-by-step explanation:

1. Multiply both sides of the equation by 9 to eliminate the fractions.

1/9 (2m - 16) = 1/3 (2m + 4)

*9                     *9

2m - 16 = 3 (2m + 4)

2. Then you're going to distribute the 3 on the right side of the equation.

2m - 16 = 6m + 12

3. Rearrange the terms.

2m - 16 = 6m + 12

      +16           +16

2m = 6m +28

-6m  -6m

-4m = 28

4. Divide both sides by -4.

-4m = 28

/-4     /-4

m = -7

m = -7 is your final answer. Hope this helped :)

-7 hopefully hope it helps

Can you help me with these too?
its for a geometry final practice
plisss

Answers

Answer:

C. 57°

Step-by-step explanation:

All triangles have a sum of 180°.

m∠D + m∠E + m∠F = 180°

35° + m∠E + 88° = 180°

123° + m∠E = 180°

m∠E = 57°

Answer:

The answer is C!

Step-by-step explanation:

Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to math classes, 3 students do karate and piano, 5 go to math class and karate, and 3 do non. How many students do all 3

Answers

Answer:

Step-by-steKAohsgidvup explanation:

Harrison reads 15 minutes per day for a project. The total number of minutes Harrison reads for the project is proportional to the number of days since he started the project.


The equation shown represents the total number of minutes Harrison has read since he started the project. What does x represent in the equation? y = 15x

Answers

Answer:

A. The number of days Harrison has read since he started the project.

The answer is A for this question

plz explain why!
Will be marked BRAINLIEST

Answers

ANSWER

Eva is correct because 13/2 + 3/2 = 8

There is no mistake. Dakota may have thought that there was a mistake because Eva simplified when she got the answer for 4x which is correct but Dakota may have thought that it was incorrect.

Eva is Correct (Unnecessary Stuff)

What is the spread of 35, 42, 65, 59, 84, 62, 46, 52, 24?
Also what is the spread of 9, 11, 11, 12, 14, 13, 15, 15, 16, 17, 18, 18, 20, 22

Answers

Answer: WDYM SPRED

Step-by-step explanation:

Answer
Set 1: 60
Set 2: 13

Explanation:
Spread and range are very similar in the way you find them. So all you have to do is subtract the biggest piece of data by the smallest piece of data

Will give brainliest!

Solve:

24t = 72

Answers

Answer:

Hi there user! Mizuki is here to help so yeah!

Anyways the correct answer is A

Step-by-step explanation:

24t = 72

t = 72/24

t = 3

If you have any questions, feel free to ask in the comments area!

The answer is 3 72/24 is 3 to a is your answer :)

I can drive my car 148 miles on 5 gallons. What is the unit rate in miles/gallon?

Answers

Answer:

29.6 miles per gallon

Step-by-step explanation:

Find the unit rate by dividing the number of miles traveled by the number of gallons:

148/5

= 29.6

So, the unit rate is 29.6 miles per gallon

Answer:

.25 gallons

Step-by-step explanation:

can someone please help

Answers

Answer:

Dennard got $3.25 in change

Step-by-step explanation:

$7.60 + $8.75 = $16.75

$20.00 - $16.75 = $3.25

Which one is greater 0.63 or 0.5?

Answers

Answer:

0.63

Step-by-step explanation:

0.63 is bigger

Answer:

0.63

Step-by-step explanation:

0.63 is bigger then 0.50

Which set of ordered pairs shows a function?

O A. {(2, 3), (2, 6), (2, 9). (2, 12), (2, 15) }
O B. {(2, 6), (-3,6), (-8, 11), (6, 2) (9,-7))
O c. {(3, -5), (4, -4), (5,-3), (4, -2). (3, -1)}
O D. {(3, 8), (-3,2), (-6,0), (-3, -2), (3,-8)}

Answers

Answer:

B, hope this helps!

Step-by-step explanation:

Functions can not have repeating X values.

the correct answer is B

A garden is in the shape of a semicircle with a radius of 25 feet. Fencing is placed around this garden. How much fencing, in feet, is needed to go around this garden? Give me the most accurate answer and SHOW ALL YOUR WORK.

Answers

Answer:

S.A. = 981.7 ft^2

Step-by-step explanation:

radius = 25 ft

S.A. = 1/2πr2

S.A. = 1/2π(25)^2

S.A. = 981.7

It’s going to be S.A = 981.7 ft ^2

Which polynomial does the model represent?

A black square, two white rods, three black rods, three white unit blocks and one black unit block are shown.

A. –x³ + 2x² – 3x + 2
B. x² + x – 2
C. –x² – x + 2
D. –x² + x – 2

Answers

Answer:

Step-by-step explanation:

Assume black represents negative and white positive, square is x^2, rod is x and block is number:

-x^2 +2x -3x +3 -1

= -x^2 -x + 2

The answer is C.

The answer is C -x^2-x+2

Find the area of the given triangle.

A triangle has a height of 15 feet and a base of 10 feet. Another side is 25 feet.

The base (b) of the triangle is
feet.
The height (h) of the triangle is
feet.
The area of the triangle is
square feet.

Answers

Answer:

75 squared feet

Answer:

75

Step-by-step explanation:

area(1/2×b×h)

1/2×10×15

1×5×15

=75

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