Layla is determining the area of the trapezoid. Her work is shown below.

A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.

Step 1: Break the figure into rectangles and triangles.

A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.

Step 2: Find the area of the rectangle: 8 times 10 = 80.

Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.

Step 4: Add the areas together: 80 + 24 = 104 square feet.

Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.

Answers

Answer 1

Answer:

the answer is B <3

Step-by-step explanation:

have a good day!

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Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

Pls answer the top one!

Answers

Answer:

15800

Step-by-step explanation:

17600/10 =

1760

17600

-1760

15800

By what percent is 4.5x105 greater than 9x10°?
A) 200%
B) 400%
C) 500%
D) 600%

Answers

The answer is C) 500%

2x +1
d A right-angled triangle is drawn so
that the hypotenuse is twice the
shortest side plus 1 cm, and the other
side is twice the shortest side less 1 cm.
Find the length of the hypotenuse.
2x-1

Answers

x = 8

If the hypotenuse = 2x + 1 and the shortest side = x and the other side = 2x - 1

Then we can substitute rose values into the Pythagorus Theorem (a squared plus b squared equals c squared which is the hypotenuse) to the equation in the diagram attached.

Then you just expand the brackets and simplify to get x. Hope that helps.
Answer:

Hypotenuse = 17cm

Step-by-step explanation:

From the question we have that,

It is a right-angled triangleThe shorter side's length is xThe hypotenuse's length is 2x + 1The other side's length is 2x - 1

Since this is a right-angled triangle, we can apply the Pythagoras formula:

[tex]H^{2} = C_{1}^{2} + C_{2}^{2}[/tex]

This says that the square of the hypotenuse is the sum of the square of the other sides.

From this, we can replace the variables with the actual values:

[tex](2x + 1)^{2} = (2x - 1)^{2} + x^{2}[/tex]

We can then expand the exponents to have:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}[/tex]

We can proceed to isolate x:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}\\\\4x^{2} + 4x + 1 = 5x^{2} - 4x + 1\\\\4x^{2} + 4x + 1 - 5x^{2} = - 4x + 1\\\\- x^{2} + 4x + 1 = - 4x + 1\\\\- x^{2} + 4x + 1 + 4x = 1\\\\- x^{2} + 8x + 1 = 1\\\\- x^{2} + 8x = 1 - 1\\\\- x^{2} + 8x = 0\\\\[/tex]

We can now multiply the whole equation by -1 just to have a positive [tex]x^{2}[/tex]:

[tex]x^{2} - 8x = 0[/tex]

And we can now solve it using Bhaskara:

[tex]x = \frac{-b\ \pm \sqrt{b^{2} - 4ac }}{2a}[/tex]

Replacing out values, we've got:

[tex]a = 1\\b = -8\\c = 0\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 4*1*0 }}{2*1}\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 0 }}{2}\\x = \frac{8\ \pm \ 8}{2}\\x = 0\ or\ x = 8[/tex]

Since x can't be 0 because we're talking about a drawn triangle, x can only be 8.

We can then calculate the hypotenuse based on this value:

[tex]Hypotenuse = 2x + 1\\Hypotenuse = 2*8 + 1\\Hypotenuse = 17[/tex]

2) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. Compute the mean u.
x. 0. 1. 2. 3. 4
p(x) 0.13. 0.61. 0.15. 0.07. 0.04 ​

Answers

The mean of the discrete probability distribution is of 1.28.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Then, considering the given distribution, the mean is given by:

E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.

More can be learned about the mean of a discrete probability distribution at https://brainly.com/question/24855677

my sis needs help asap

Answers

Answer:

A. 64.98

Step-by-step explanation:

See the attachment .

_________

Hope it helps ⚜

The answer is A because 112.08 minus 47.17 is 64.91

1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?



2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?



3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?



4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?



5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?



6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?



7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?


8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?


9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?




10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?

What you need to do:

Please WRITE both equations for each problem, identify what your variables represent, and solve the system.

I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST -


Don’t answer if you are just going to put a link.

Answers

Hey there

Question no.1:

Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?

Solution:

Let the cost of one apple be "y" and the cost of one orange be "x".

Here,

According to question,

8x + 7y = $10.20 5x + 14y = $12.15

=> 5(8x + 7y) = 10.20 × 5 => 8(5x + 14y) = 12.15*8

=> 40x + 35y = 51 -->(i) => 40x + 112y = 97.2-->(ii)

By Elimination method,

Equation (i) - (ii)

(40x + 35y) - (40x + 112y) = 51 - 97.2

=> 40x + 35y - 40x - 112y = - 46.2

=> - 77y = - 46.2

=> y = 46.2/77

=> y = 0.6

Putting the value of "y" in equation (i) we get,

40x + 35y = 51

=> 40x + 35 × 0.6 = 51

=> 40x + 21 = 51

=> 40x = 51 - 21

=> 40x = 30

=> x = 0.75

Therefore the cost of one orange is $0.75 and the cost of one apple is $ 0.6.

Question no.2:

Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?

Solution:

Let the cost of a small box be "x" and the cost of a large box be "y".

Here,

According to question,

2x + 5y = $31 4x + 7y = $47

4(2x + 5y) = 31 × 4 2(4x + 7y) = 47 × 2

=> 8x + 20y = 124 ->(i) => 8x + 14y = 94 ->(ii)

By Elimination method,

Equation (i) - (ii)

(8x + 20y) - (8x + 14y) = 124 - 94

=> 8x + 20y - 8x - 14y = 30

=> 6y = 30

=> y = 30/6

=> y = 5

Putting the value of "y" in Equation (ii) we get,

8x + 14y = 94

=> 8x + 14 × 5 = 94

=> 8x + 70 = 94

=> 8x = 94 - 70

=> 8x = 24

=> x = 24/8

=> x = 3

Therefore, the cost of a small box is $3 and the cost of a large box is $5.

Question 31 of 46
What is the x-intercept of the logarithmic function below? F(x)=log0.6x

Answers

Answer:

Option D. all real numbers.

Step-by-step explanation:

The given function is a logarithmic function represented as

f(x) = log0.6x

In this logarithmic function for any value of x > 0 will be the domain and range of the function will be a set all real numbers.

As for any value of x>0 we get a real number if we rewrite a function in the form of an equation

y = log0.6x

Therefore Range will be (-∞ ∞) {y | y ∈ R}

Please help me I need help
An accounting firm wants to know how many tax payers will wait until the last day to file their taxes. A group of 1000 tax filers were randomly surveyed, revealing that 100 of them said it was likely that they would not file until the last day. Based on this information, a 95% confidence statement indicated that the percentage of tax filers who would file on the last day was estimated to be between 8% and 12% of all tax filers. In this problem, which of the following is the margin of error?


a 1%

b 2%

c 3%

d 4%



If random samples are selected from a population, what happens to the margin of error if the sample size is increased from 100 to 400?

a the margin of error increases

b the margin of error decreases

c the margin of error stays the same

Answers

Using confidence interval concepts, it is found that:

The margin of error is of b) 2%.Increasing the sample size, b) the margin of error decreases.

What is the margin of error of a confidence interval and how it relates to the sample size?

Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.

So, for an interval that is (8%, 12%), the margin of error is given by:

M = (12 - 8)/2 = 2%.

Which means that for the first question, option B is correct.

Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.

More can be learned about confidence interval concepts at https://brainly.com/question/25890103

One year, the population of a city was 110,000. Several years later it was 102,300.Find the percent decrease.

Answers

Answer:

93%

Step-by-step explanation:

We must divide to solve this :)

102300/110000 = 0.93 x 100 = 93%

Have an amazing day!!

Please rate and mark brainliest!!

Give an example of two different sets of data, in which both box plots have the same range and IQR and yet represent completely different data. Explain.

Answers

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?

Answers

Answer: The larger angle (Angle 2) is 120 degrees

Step-by-step explanation:

Let's call Angle 1 x and call Angle 2 y.

Two angles being supplementary means that they add to 180.

This means x+y=180

Angle 2 is twice the measurement of angle 1.

This means 2x=y and that we can sub 2x in for y

x+2x=180

3x=180

Now solve for x

[tex]3x=180\\\frac{3x}{3} =\frac{180}{3} \\x=60[/tex]

We know the value of x, so now let's sub in to find the value of y

[tex]2x=y\\2(60)=y\\120=y[/tex]

how do you convert a quadratic equation from standard form into factored form?

Answers

Step-by-step explanation:

I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.

Let’s take an example. You have x^2+6x+8.

First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.

Step 1:

x^2 * 8= 8x^2

Step 2:

(break the middle term)

x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)

Step 3:

(separate the common terms)

x(x+4)+2(x+4)

(x+2)(x+4)

You took one-third of an hour to walk home. How many minutes did you walk?
(Hint: An hour has 60 minutes.)
minutes

Answers

Answer:

20 minutes

Step-by-step explanation:

60÷3=20

Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins

Answer:

20 min

Solution:We know that an hour has 60 minutes.In order to find one-third of a hour, we should divide 60 by 3:60÷3=20 min.So if you took one-third of an hour to walk home, you walked for 20 minutes.

Hope it helps.

Do comment if you have any query.

The graph below represents a function.


Which single transformation could be applied to the graph so that it no longer represents a function?

A. reflection across the x-axis

B. reflection across the y-axis

C. translation 5 units to the left

D. rotation of 90° clockwise about the origin

Answers

I believe it is B. (Reflection of the y axis)

2.) A baker has a bag containing
1344 chocolate chips. If she
wants to make 96 cookies, how
many chips can go in each
one?

Answers

Answer:

1344 - 96 = 1248

If you want to check your answer the add 1248 + 96 =1344

A search plane carries radar equipment that can detect metal objects (like submarine periscopes or plane wreckage) on the ocean surface up to 15.5 miles away. If the plane completes a circular flight pattern of 471 miles in circumference, how much area will it search?

Answers

The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

How are radius and circumference of a circle related?

Suppose that a considered circle has:

Circumference = C unitsRadius = r units

Then, we get:

[tex]C = 2\pi r \: \rm units[/tex]

So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.

That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).

The graph given describes the region of scan.

The blue region's area = Outer circle's area - Internal circle's area

The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:

[tex]471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles[/tex]

The outer circle has the radius = internal circle's radius + diameter of the radar circle =  [tex]\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles[/tex]

Thus, we get:

Area of internal circle = [tex]\pi r^2 = \pi \times \left( \dfrac{471}{2\pi} \right)^2 \approx 17,653.56 \: \rm miles ^2[/tex]Area of outer circle = [tex]\pi \times \left( \dfrac{471}{2\pi} + 30 \right )^2 \approx 34610.98 \: \rm miles ^2[/tex]

Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²

Net area which is searched by the search plane ≈ 16957.42 miles²

Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

Learn more about area of a circle here:

https://brainly.com/question/13004063

#SPJ1

Shane has $15,000 property damage insurance and $4,000 comprehensive and collision insurance with a $500 deductible. He slides on ice and hits a parked car, causing $8,500 worth of damage. The accident causes $6,750 of damage to his own car. How much will the insurance pay to fix both cars?

Answers

If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.

Insurance coverage

Using this formula

Insurance coverage=Total cost of damages-Deductible

Where:

Total cost of damages=($8,500+$6,750)

Deductible=$500

Let plug in the formula

Insurance coverage=($8,500+$6,750)-$500

Insurance coverage=$15,250-$500

Insurance coverage=$14,750

Therefore the amount that the insurance company will pay to fix both cars is $14,750.

Learn more about insurance coverage here:https://brainly.com/question/11776206

Define fraction (in your own words)
Think back to the last time you needed to use fractions, for example a ruler or measuring tape. Discuss how you used it.
Explain the steps of adding or subtracting unlike fractions. Using a ruler, measure the heights of two different-size cans of food and show how to calculate the difference in heights

Answers

A number that is divided by another, like 1 divided by 2 is one half, it is a fraction of a number.

A right cylinder is sliced perpendicular to it's base. What is the shape of the resulting two dimensional cross section?

Answers

it would beA rectangle

How do you find the volume of a sphere? Please use steps to explain.

Answers

Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³.

Find the radius

Cube the radius

Multiply the cubed radius by 4/3.

Multiply the equation by π.

The quotient of a number, z, and 21 is 42.
Which equation and value of z represent this relationship?

Answers

The relation is given by the equation (z/21) = 42, then the value of the z will be 882.

What is the quotient?

The quotient means the separation of something into different parts, sharing of something among different people, places, etc.

The quotient of a number, z, and 21 is 42.

The relation can be given as

[tex]\rm \dfrac{z}{21} = 42[/tex]

Then the value of z will be

[tex]\rm z = 21 \times 42\\\\z = 882[/tex]

More about the quotient link is given below.

https://brainly.com/question/369266

HELP ASAP PLEASE THIS IS DUE IN AN HOUR
Note: Enter your answer and show all the steps that you use to solve this problem
The table shows how the number of sit-ups Marla does each day has changed over time
how many sit-ups will she do on Day 12? Explain your steps in solving this problem

day 1 - 17
day 2 - 21
day 3 - 25
day 4 - 29
day 5 - 33

Answers

Answer:

keep adding four until u reach day twelve

40% of the students ordered a year book there were 400 students.how many students ordered a yearbook.

Answers

400 divided by .40. the answer is 160

160 students ordered a yearbook.

Step-by-step explanation:

Batman, cross multiply 400×40 then divide by 100 and you get your answer.

We want to estimate the mean number of pages per
book in the fiction section of the large school library at a
99% confidence level. A sample of 35 fiction books is
randomly selected and the mean number of pages is
calculated to be 291.8 pages per book with a standard
deviation of 47.6 pages per book
What is the value of the standard error of the mean?
(Round your answer to 3 decimal places.)
SE sub x =

Answers

Answer:

so i am sorry but somehow my answer got deleted

Step-by-step explanation:

Answer:2.750

Step-by-step explanation:

Or D

A New England Journal of Medicine study (November 1986) found that a
substantial portion of acute hospital care is reported to be unnecessary. The physicians who conducted
the study reviewed the medical records of 1,132 patients hospitalized at six different locations across
the country. Overall, 60% of admissions in the sample were judged to be appropriate, 23% were
deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery.

Answers

Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Amount calculation

Given that a New England Journal of Medicine study found that a substantial portion of acute hospital care is reported to be unnecessary, and the physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country, and overall, 60% of admissions in the sample were judged to be appropriate, 23% were deemed inappropriate, whereas 17% could have been avoided by the use of ambulatory surgery, to determine the number of patients in each group, the following calculation should be made:

1132 x 0.6 = A679.2 = A1132 x 0.23 = I260.36 = I1132 x 0.17 = U192.44 = U

Thus, some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Learn more about amount calculations in https://brainly.com/question/14695611

Answer:Some 679 admissions were appropriate, some 260 were inappropriate, and some 193 were unnecessary.

Step-by-step explanation:

《show your work》
A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.
Round to the nearest hundredth.

Answers

The answer is 0.06

Step-by-step explanation:

Finding Volume

25 x 12 = 300

300 x 10 = 3,000

Into Cubic yards

3,000 / 46,656 = 0.06430041152

Nearest hundredth

0.06

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

plsssssssssssss helpppppppppppppppppppp

Answers

Answer:

I think that it is C

Step-by-step explanation:

What is the area of the circle 24m

Answers

Answer:

[tex]area = \pi {d}^{2} \\ area = \pi {24}^{2} \\ area = 1808.64[/tex]m^2

4) Suppose that rectangle ABCD is dilated to A'B'CD' using the origin as the center and a magnitude of 2
What are the coordinates of C?
A) (8,8)
B) (-8,8)
C) (8,-8)
D) (-8,-8)

Answers

Answer: C

Step-by-step explanation: You're Welcome

Please help me :) :)))))))

Answers

Answer:

ok the owner is 2..a under score 4

Step-by-step explanation:

or 5,244

Other Questions
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