The height of a trapezoid is 4 in. And its area is 48 in 2. One base of a trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

Answers

Answer 1

Answer:

a=9

b=15

Step-by-step explanation:

Well the area formula of a trapezoid is: [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{a+b}{2} *4=48[/tex]

Divide both sides by 4

[tex]\frac{a+b}{2} =12[/tex]

Multiply both sides by 2

a+b=24

Now since one of the sides (b) is 6 inches longer than a, we get;

a+a+6=24

Subtract 6 from both sides

2a=18

Divide both sides by 2

a=9

b=9+6=15


Related Questions

Find the volume of the cone khan academy

Answers

Answer:

V= 1/3 pi*r^2*

Step-by-step explanation:

The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.

If f(x)=5x2−3x+8, find f(0)

Answers

Answer:

8

Step-by-step explanation:

f(x)=5x^2−3x+8

Let x=0

f(0) = 5(0) -3(0) +8

     = 8

if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum

Answers

Answer:

48.048

Step-by-step explanation:

multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you

Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots ? How many points would Anthony score in a game if he made x three point shots and y two point shots?

Answers

Answer:

Step-by-step explanation:

x three point shots: 8*3=24

x two point shots: 2*2=4

The point would Anthony score is : 24+4=28

I hope it'll help you much

Thank you for asking

i need help i don't understand can someone help me plz :) ​

Answers

Review The Pythagorean theorem.


The answer is B. Why?

pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes

Answers

Answer:

what grade are you in so i can help

Step-by-step explanation:

HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?

A.5
B.7
C.9
D.11

Answers

Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes

6x2+40=31x factorise the quadratic equation

Answers

What he said hehehee

Answer:

Step-by-step explanation:

6x² + 40 = 31x

6x² - 31x + 40 = 0

6x² - 16x - 15x + (-5)*(-8) = 0

2x(3x - 8) - 5(3x -8) = 0

(3x - 8) (2x - 5) = 0

Which arc measures 180°
А.
8
AE
BD

Answers

the correct answer is A

d or DC

Hope this helps!! :)

solve the following
2(X+3)=X-4​

Answers

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

Use a net to find the surface area of the prism 8 in 6 in 15 in

Answers

The area is 8*6*15=720 in^3

find the center and radius of the circle x2+(y+8)2=4

Answers

Answer: Center (0, -8) and Radius = 2

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.

Trigonometry!! Please Help picture attached

Answers

Answer:

[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]

[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]

[tex]\tan B=\dfrac{3}{7}[/tex]

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!

vvvvvvv help me plzzzzzzzzzzzzzzz

Answers

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED

Answers

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6. A perfect score is 36. What percentage of the testers scored a perfect score?

Question 4 options:

0.46%


0.35%


99.65%


99.64%

Answers

Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 20.9, \sigma = 5.6[/tex]

The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 20.9}{5.6}[/tex]

Z = 2.7

Z = 2.7 has a p-value of 0.9965.

1 - 0.9965 = 0.0035 = 0.35.%.

Hence, 0.35% of the testers scored a perfect score.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each sides of the sheet.

Answers

Answer:

IF THE question is After Fathi prints, what will be the balance in his printing account?

then it is: $1.9

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

Answer:

The answer is $-1.90

Please answer this question

x^2 = 11x

Answers

[tex] {x}^{2} = 11x \\ {x}^{2} - 11x = 0 \\ x(x - 11) = 0[/tex]

Product is equal to 0 when one of multipliers is equal to 0, so

[tex]x = 0[/tex]

Or

[tex]x - 11 = 0 \\ x = 11[/tex]

Answer: x=0 or x=11

Answer:

Step-by-step explanation:

x^2 = 11x

x ( x − 11 ) = 0

x = 0  (by transposing)

x − 11 = 0

x=11  (by transposing)

therefore, x= 0,11

Hope it Helps...pls Mark as Brainliest!!

A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals

Answers

Answer:

She receives $47.5 less

Step-by-step explanation:

Now, the first thing to do here is to calculate what 15% if the total amount is

That would be 15/100 * 950 = $142.5

The amount she receives less is thus $142.5 -$95 = $47.5

Answer:

The amount less that she received than if she had received 15% of the cost of the meal is $47.5

Step-by-step explanation:

Here we have the amount of dinners served by the waitress = $950

Amount received in tips = $95.00

Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5

Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;

$142.5 - $95 = $47.5.

Need help plssssss fast hurry plsss

Answers

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

Answer: [tex]150ft^2[/tex]

Step-by-step explanation:

length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]

width: [tex]5 in[/tex]

[tex]Formula: A=w*l[/tex]

[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]

Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.

[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]

[tex]\frac{1}{4}in^2 : 1ft^2[/tex]

Convert.

[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]

Invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]

Which statement about the parabola is not true?A. The focus lies on the axis of symmetry.B.The directrix of the parabola is parallel to the axis of symmetry.C. Each point on the parabola is equidistant from the directrix and the focus

Answers

Answer:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

If you want to learn more, you can read:

https://brainly.com/question/3283347

The surface area of a cone is 396π square inches. If the radius is 12 inches, find the slant height of the cone.

Answers

Answer:

Slant height = 33 inches

Step-by-step explanation:

r = 12 inches

Lateral Surface Area of cone = 396π square inches

πrl = 396π

π * 12 * l = 396π

[tex]l=\frac{396\pi }{12*\pi }\\[/tex]

l = 33 inches

Clara slept for a total of 126 hours over the cousrve of two weeks.If she sleeps for the same amount of each time each night,how many hours does she sleep per night?

Answers

Answer:

9

Step-by-step explanation:



Answer:

9 hours per night

Step-by-step explanation:

Assuming a week is 7 days

7 * 12 = 14 days

126/14=9

She slept 9 hours per night

The perpendicular bisector of chord AB is y=-2x+8, and the perpendicular bisector of chord BC is y= 3x-2. Recall the properties of chords. How can these equations be used to find the center of the circle that represents the whole plate

Answers

Answer:

We equate the two expressions since they both pass through the center of the circle.

The coordinate of the center of the circle is (2,4)

Step-by-step explanation:

From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.

Since both equations would pass through the center of the circle, we equate them.

So, -2x+8 = 3x-2

Solving for x, we have

3x + 2x = 8 + 2

5x = 10

x = 10/5

x = 2

Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.

y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4

So, the coordinate of the center of the circle is (2,4)

Personal Answer:

The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.

Plato Sample Answer:

Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.

I hope this helps!


what’s the answer for this

Answers

Answer:

Area of parallelogram A = base x height = 2 x 1 = 2 (in2)

Hope this helps

:)

Mrs. Dominguez asked her students to plot the number of books they read over the summer.

Using the dot plot, how many students read two books?
1
2
3
6

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 students read 2 books

Determine if Ginny factored correctly. If not, explain
where she made an error.

Answers

Answer:

The answer is A

Step-by-step explanation:

Which complex number has a distance of the square root of 17 from the origin on the complex plane?

Answers

Hey there! I'm happy to help! :D

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

OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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

MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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

SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

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

SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?​

Answers

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Please help!

What is 5.2¯ expressed as a fraction in simplest form?


275

389

265

479

Answers

Answer:

Step-by-step explanation:

389

Answer. 3/89

Step-by-step explanation:

HEY FREN

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The ___ rule states that if a person in another country has a parent of a parent who is a U.S. citizen, then that person can legally immigrate to the U.S Cars are noisy, dirty, smelly and downright dangerous. They should be banned from all town and city centres, allowing people to walk and cycle in peace.' Write a letter to the Minister for Transport arguing your point of view on this statement Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal. Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how muchaAThe graph by one unitB)The graph by five unitsThe equation by one unitD)The equation by five units Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m. A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.Which statement most reasonably explains the hours when zero calls were received?Medera turned the phone off while playing in a soccer game.Mederas phone can only receive 22 calls a day.Medera only receives calls in clusters.Medera lost her phone for two hours. Emina took out a 5/1 variable-rate mortgage for $120,000. The interest ratefor the first period was fixed at 5.25%, and the loan was amortized over 30years. At the end of the initial loan period, the interest rate was 6.75%, plus a1.5% margin. What will the unpaid balance on her mortgage be after her initialperiod expires?OA. $102,164.09B. $123,740.97c. $110,579.39D. $113,739.09 the southernmost areas of japan have what kind of climate.A: ArticB: temperateC: subtropicalD: tropical Why did the Gore campaign support manual recounts in Florida and the Bush campaign oppose it? What is the function if ATP? What was the main concern for the United States early in the space race Determine the scale factor from the point A(2, 6) of DEF to DEF where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D (-3, 6) E(-3, 10) and F(2, 4.5) What is the scale factor? Look at the map above. All of the following climate regions are located in Central Asia except the __________ region.A.marine west coastB.humid continentalC.semiaridD.aridPlease select the best answer from the choices providedABCD If 2.6( d +1.4 )- 2.3d= 4,what is d? how many number of electrons are in aluminium and nitrogen in their free state? Which principle established by the Magna Carta does this excerpt reflect? how many times does 6 go into 29 Which word is an example of a demonstrative adjective?Abelthatthethemthen i took too many pills counting up the billsMolly in my cup i can't tell you how it feel Who has read the book Slam! by Walter Dean Myers?? need some helpWhat kind of narrative is it? What are examples of flashbacks and foreshadowing in the book?