The height of a trapezoid is 8 in. And its area is 80 in2. One base of the 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.


Please help quickly

Answers

Answer 1

The lengths of the bases of the trapezoid are 10 inches and 16 inches.

Let's use the formula for the area of a trapezoid: A = 1/2(b1+b2)h, where b1 and b2 are the lengths of the bases and h is the height. We are given the value of h which is 8 in. We are also given the area of the trapezoid which is 80 in2. Therefore, we can plug these values into the formula and solve for b1 + b2.b1 + b2 = 2A/hb1 + b2 = 2(80)/8b1 + b2 = 20Now we are told that one base is 6 inches longer than the other. Let's call the shorter base x, then the longer base is x + 6. Therefore, we can set up an equation :x + (x + 6) = 20Simplifying the equation, we get:2x + 6 = 20 2x = 14 x = 7So the shorter base is 7 inches and the longer base is 7 + 6 = 13 inches. Therefore, the lengths of the bases of the trapezoid are 10 inches and 16 inches.

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Related Questions

on a standard six-sided die, what is the probability of rolling an even number?

Answers

Answer:

5

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

The even numbers on a die are 2, 4 and 6 compared to the odd numbers 1, 3 and 5. This is 3/6 of the numbers which is 1/2 when simplified. 1/2 is equal to 50%

Is the following g relation a function?
-yes
-No

Answers

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.

Find axis of symmetry for – 3x^2 - 4x + 5​

Answers

Answer:

x= -2/3

Step-by-step explanation:

A bank account with an initial deposit of $4,000 and an interest rate of 4% increases by 4% each year. The balance (B) as a function of time in years (t) can be described by an exponential function: B(t) = 4,000(1.04)t

What parameter would change if the interest rate were changed to 7%?

Parameter
(select)
would change if the interest rate were changed to 7%.

Answers

r=R/100=4/100=0.04 per year. Solving equation A=P(1+rt ). A=4000(1+0.04)=4160. A=$4160

What's the slope of the graph

Answers

Answer:

1/-2

Step-by-step explanation:

To find the slope:

rise/run

From point to point

So....

From (-1,0)

you go up 2(2)

then left 4(-4)

to get to (-5,2)

so 2/-4 reduced is 1/-2

1) -5n – 4n ?????????????????????????????????????????

Answers

Answer: =−9n

Step-by-step explanation: hope this help

-5n-4n

=-5n-4n

=-5n+-4n

=-n+-n+-n+-n+-n+-n+-n+-n+-n

=-9n

From the set (76, 77, 78), use substitution to determine which value of x makes the equation true
4x= 304
A.78
B.none of these
C.76
D.77
Answer fast! Please

Answers

Answer:

The answer is C.

Step-by-step explanation:

Multiply 4 by 76, 77, and 78.

4 * 76 = 304

4 * 77 = 308

4 * 78 = 312

304 = 304, so C is the correct answer.

Hope this helps!

Write the equation of the line in slope-intercept form given the graph below.

Answers

Answer:

y=-2/3x-1

Step-by-step explanation:

Answer:

y=-2/3x-1

Step-by-step explanation:

En tres partidos de besisbol de fin de Semana, hubo 125,429 espectadores .La Semana siguiente hubi 86,353 especradores cuantos espectadores en total presenciaron los seis partidos en total

Answers

Answer:

211,782

Step-by-step explanation:

Esta pregunta es muy fácil porque Los espectadores en total que presenciaron los seis partidos en total es la suma de ambos.

125,429 en uno lado y 86,353 en uno lado. Y eso es igual

125,429 + 86,353 = 211,782

Los espectadores en total que presenciaron los seis partidos en total es 211,782

When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed

Answers

Answer:

sedimentary rock is formed

Step-by-step explanation:

Sedimentary rock is formed

Witch of the following equations have z=4
9z+22=26
7z-1=27
46-8z=14
5z+40=62

Answers

Answer:

b

Step-by-step explanation:

Solve for x . x/3 +x/4

Answers

The answer is

[tex] \frac{7x}{12} [/tex]

Find the measures of the numbered angles for each parallelogram.​

Answers

Answer:

Step-by-step explanation:

∠1=60

  ∠2  =60

Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture?

Answers

Answer:

4

Step-by-step explanation:

Given :

10 grams of 15% sugar syrup;

25 grams of 10% sugar syrup

Therefore,

(10grams * (15/100)) + (25 grams * (10/100))

(10 * 0.15) + (25 * 0.1)

1.5 + 2.5

= 4 grams

Miranda's math certificate is 8 inches tall and 13 inches wide. Miranda wants to put the certificate in a fancy frame that costs $1.00 per inch. How much will it cost to frame Miranda's math certificate?
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$42
$21
$29

Answers

He answer hence would be 104

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Answers

Answer:

What are the digits in the box?

Step-by-step explanation:

PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely

Answers

Answer:likely tell me if im wrong

Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.

Hence, the likelihood that best describes the probability of this event is Likely.

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Find the total surface area

Answers

Answer:

46

Step-by-step explanation: 5+7+5+7+5+10+7= 46

Please mark as brainliest!!!!!

428,750 SA (7x7x5x5x7x5x10)

Answer the photo below thanks

Answers

Answer: that is a rectangle

Step-by-step explanation:

Answer:

Rectangle , is correct answer of this question

Square root x = 5.1?

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

√x=5.1

Solve Square Root.

√x=5.1

x=5.12(Square both sides)

x=26.01

Check answers. (Plug them in to make sure they work.)

x=26.01(Works in original equation)

Answer:

x=26.01

i need help! Please someone i’ll give brainliest!

Answers

i’m literally stuck on the same kind of stuff. i don’t get it
You need to use SohCahToa
I recommend you use Toa
Tan117=y/21
x21 x21
21tan117=y
Put that in your calculator and you should get 20.0023654637
And round it however your teacher asks you to

Shay wants to buy a bag of honey crisp apples. One bag has a cost of $6.00. If there are 12 apples in each bag, what is the unit price per apple? Show your work. please help ill mark brainliest

Answers

Answer:

50 cents per apple

Step-by-step explanation:

to find the unit price you have to divide the total cost by number of apples

6.00÷12=0.5

write the slope intercept form of the equation of the line through the given points (0,4) and (-5,5)

Answers

y = -1/5x +4 (i think??)

Hey please help me!
Whats 12y + 2x = 24 ???

Answers

Answer:

y=2 x=0

Step-by-step explanation:

12x+2x=24

12 times 2+ 2 times 0

=24

Kobe wants to organize his toys. He wants to put his į inch cubes in a box with width 2 inches, length 3 inches, and height 2 inches? How many inch cubes can he fit in the box?​

Answers

Volume of box : 2 x 3 x 2 = 12 cubic inches.

Volume of cube : 1^3 = 1 cubic inch.

Number of cubes = volume of box / volume of cube:

12/1 = 12 cubes.

Answer:

12 cubes

Step-by-step explanation:

hope this helped

10x - 4y for x = 14 and y = 5 PLEASE!

Answers

Answer:

120

Step-by-step explanation:

10(14)-4(5)

=140-20

=120

Answer:

120.

Step-by-step explanation:

10(14)-4(5)

140-20

120.

if the line y=5x was graphed, what would the x coordinate be when y=14?

Answers

Answer:

X=2.8 when y =14

Step-by-step explanation:

[tex]5x = 14 \\ x = \frac{14}{5} \\ x = 2.8 [/tex]

Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes

Answers

Answer:

Verdadero

Step-by-step explanation:

Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...

2 / 6 = 0.333

6 / 18 = 0.333

algebra 1 Solve number 10 !!!

Answers

Answer:

0.06x + 0.15y = 69.84

x = (69.84 - 0.15y) / 0.06

y = (69.84 - 0.06x) / 0.15

x + y = 852

((69.84 - 0.15y) / 0.06) + y = 852

y = ?

(I'm not trying to give you the answer but guide you how to do it)

21.4 rounded to hundredths place

Answers

You can’t so it’s stays the same (21.4) that’s your answer then

Answer:

21.40 or 21.40, it's rounded to the same number

Step-by-step explanation:

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