The area of a trapezoid is 60 square inches. One of the bases is 8 inches long. The height is 6 inches long. What is the length of the second base?

Answers

Answer 1

Answer:

12 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h(b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

Given h = 6, b₁ = 8 and A = 60 , then

[tex]\frac{1}{2}[/tex] × 6 × (8 + b₂ ) = 60 , that is

3(8 + b₂ ) = 60 ( divide both sides by 3 )

8 + b₂ = 20 ( subtract 8 from both sides )

b₂ = 12

The length of the second base is 12 inches


Related Questions

4x – 5.2y + 6y + 7.9x – 8x *

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}[/tex]

[tex]\huge\text{COMBINE your LIKE TERMS}[/tex]

[tex]\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}[/tex]

[tex]\large\textsf{4x + 7.9x - 8x =}[/tex]

[tex]\large\textsf{4x + 7.9x = 11.9x}[/tex]

[tex]\large\textsf{11.9x - 8x = 3.9x}[/tex]

[tex]\large\textsf{4x + 7.9x - 8x = 3.9x}[/tex]

[tex]\large\textsf{(3.9x) + (-5.2y + 6y)}[/tex]

[tex]\large\textsf{-5.2y + 6y = 0.8y}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

3.9x+0.8y

Step-by-step explanation:

4x−5.2y+6y+7.9x−8x

Combine −5.2y and 6y to get 0.8y.

4x+0.8y+7.9x−8x

Combine 4x and 7.9x to get 11.9x.

11.9x+0.8y−8x

Combine 11.9x and −8x to get 3.9x.

3.9x+0.8y

It can also be converted to fraction form:

[tex]\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y[/tex]

can someone please help? <3

Answers

Answer:

A. 5 units is the distance from P to Q

Answer:

A. 5 units

Step-by-step explanation:

Use the formula: √(x2−x1)2+(y2−y1)2

Solve:√((3-(-1))^(2)+((-1)-(-4))^(2))

You'll get the answer: 5

Find the measure of

Answers

Answer:

25 degrees.

All the angles of a rectangle are equal. I may be 100% wrong, don't trust me completely.

Step-by-step explanation:

(Inequalities) what do you have to do when multiplying or dividing by a negative number?

Answers

Answer:

When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.

Step-by-step explanation:

You are welcome.

And I hope this helps.      :)

Answer:

Step-by-step explanation:

If you begin with an inequality and wish to solve for one of the variables, you must isolate that variable on the right side of a new inequality.  Now supposing that that variable is negative in the given inequality, and that you must change that sign to positive.  Generally you can either multiply every term in the given inequality by -1 or divide every term by -1.  In both cases you must change the direction of the inequality sign.

Example:  Given -3x > 2 + 5y, solve for x.  To do this, multiply all three terms in the inequality by (-1/3), which yields x on the left and -2/3 - (5/3)y on the right.  We must reverse the direction of the inequality sign, so the final answer is  x < -2/3 - (5/3)y.

Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300

Answers

Answer:

Because he has to send one more parcel than the estimation.

Step-by-step explanation:

The popularity of the Gutenberg press in Europe made books more accessible and motivated people to want to learn how to write. paint. read. travel.

Answers

Answer:

read.

Step-by-step explanation:

The popularity of the Gutenberg press in Europe made books more accessible and motivated people want to learn how to READ.

This is evident in the fact that Johannes Gutenberg who was widely known as a printer was famous for inventing a means of producing books at a cheaper cost and portable size that is also durable and easy for distribution.

The result of this invention led to an increase in the availability of books and thereby enhance and motivate more people, not just the elites, to have access to books and READ them.

Answer:

Read

Step-by-step explanation:

cause

what is the m<R???????​

Answers

Answer:

128

Step-by-step explanation:

Hey There!

So the rule about interior angles of a trapezoid

is that the angles that lie on the segments that are not parallel are supplements

so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do

180=15x+8+7x-4

step 1 combine like terms

15+7=22

8-4=4

now we have

180=22x+4

step 2 subtract 4 from each side

180-4=176

now we have

176=22x

step 3 divide each side by 22

176/22=8

so x=8

now we plug in 8 to 15x+8

8x15=120

120+8=128

so we can conclude that angle R = 128

Need help plz
What number is half way between 3 and 4?​

Answers

Answer:

um 3.5?

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

if I'm understanding the question correctly, that is the answer

A cone has a height of 20 meters and a radius of 10 meters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth.

Answers

Volume of a Cylinder: In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.

The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.Step-by-step explanation:

I hope it helps

El precio de un automovil $696.000 y se puede pagar de dos maneras distintas.

Opcion 1 $200.000 al contado y 48 cuotas iguales sin recargo

Opcion 2 la tercera parte al contado y 25 cuotas iguales sin recargo.

Calcular.
¿cual es el valor de la cuota en cada una de las opciones

¿Cuantas cuotas se deben abonar como minimo en la segunda opcion mas de la mitad del automovil pagado?

Answers

I’m sorry i don’t speak Spanish!

write the inequality in words 1/3n-10>22​

Answers

A third n minus 10 greater than twenty two

Answer:

10 is subtracted from a third of a number is greater than 22

Step-by-step explanation:

1/3n-10>22​

you subtract 10 from 1/3n

1/3 - 10 is greater than 22

so:

10 is subtracted from a third of a number is greater than 22

help is this right ? pleasee helppppp ????​

Answers

Answer:

yes you are correct

Step-by-step explanation:

YAY THANK YOU IM NOW AN ACE

Solve the equation.
Start Fraction b over negative 6 End Fraction = –3

Answers

Answer:

Step-by-step explanation:

b/-6=-3

b=18 (x -6 on both sides)

a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton candy and spent 12$ . What is the equation that models this situation

Answers

Answer:

x3+y2=12

Step-by-step explanation:

I don't have a step by step explanation, hope this helps!!!


If the time now is 4 PM on Saturday, after 253 hours the time will be:
(A) Sun. 5AM
(B)Tues. 5AM
(C) Wed. 1AM
(D) Wed. 5AM

Answers

Answer:

 C I'm pretty sure

Step-by-step explanation:

Please help it‘a due today

Answers

Answer:

u know area of rectangle is length × breadth

therefore, area = (3x+4)×(7x-2)

= 21x²-6x+28x-8

= 21x²+22x-8

= d ans

You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compounded monthly for 5 years.

Answers

Answer:

$367.17

Step-by-step explanation:

we are find the cost of the car after 5 years

Using the compound interest formula;

A = P(1+r/n)^nt

Given

Principal P = $300

rate r = 5.2% = 0.052

Time t = 5years

Time of compounding n = 1/12 (monthly)

Substitute into the formula

A = 300(1+0.052(12))^5(1/12)

A = 300(1+0.624)^0.4167

A = 300(1.624)^0.4167

A = 300(1.2239)

A = 367.17

hence the amount of the car after 5years is $367.17

PLS ANS THIS QUESTION PLS

Answers

Answer:

6x^2 + 2xy -9y^2 +3y +10

Step-by-step explanation:

yes

if 36/5x=3/5 what is x​

Answers

Answer:

x = 12

Step-by-step explanation:

Given

[tex]\frac{36}{5x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

15x = 180 ( divide both sides by 15 )

x = 12

Help please, I'm stuck on this

Answers

An swer:

d

Step-by- step explana tion:

Find the measure of each angle indicated.
23°
128°

Answers

Find the acute angle in the first quadrant used as a reference for

23, 128, 337, 128

Kiran mixes \frac{3}{4}
4
3

cups of raisins, 1 cup peanuts, and \frac{1}{2}
2
1

cups of chocolate chips to make trail mix. How much of each ingredient would he need to make 10 cups of trail mix? Explain your reasoning.

Answers

Step-by-step explanation:

7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.

Step-by-step explanation:

We are given that,

The amount of ingredients needed for the trail mix are,

Raisins = \frac{3}{4}

4

3

cup

Peanuts = 1 cup

Chocolate chips = \frac{1}{2}

2

1

cup

Since, Kiran needs to make 10 cups of the trail mix.

The amount of ingredients needed will be,

Raisins = \frac{3}{4}\times 10

4

3

×10 = \frac{30}{4}

4

30

= 7.5 cups

Peanuts = 1 × 10 = 10 cups

Chocolate chips = \frac{1}{2}\times 10

2

1

×10 = 5 cups

Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.

4 1/4 not sure tho i got it from internet

i hate geometry if someone could help me i would appreciate it so much

Answers

Answer:

Step-by-step explanation:

150 + 150 + x = 360

x = 60

∠ADC = 60°

they are the same

Pls help and thank you so much

Answers

Answer:

y=4x+3

Step-by-step explanation:

y intercept is 3 and x is 4

If a line goes through Point (1,2) and has a slope of 2 then find R if the line also goes through the point (r,8)

Answers

Answer: r = 4

Step-by-step explanation:

See the image.

Evaluate if x = 5.
x2 + 10 = [?]

Answers

Answer:

35

Step-by-step explanation:

[tex] {x}^{2} + 10 \\ = {5}^{2} + 10 \\ = 25 + 10 \\ = 35[/tex]

This is your answer :)

The answer is 35
5x5=25 +10= 35

If 2 inches is about 5 centimeters,
about how many inches is 45
centimeters?

Answers

Answer:

about 18 (17.7)

Step-by-step explanation:

Answer:

About 17 inches

Step-by-step explanation:

i need your guys help i don’t know nun abt this at all

Answers

Answer:

1) 2² + 5² = ?²

2) 6² + ?² = 9²

3) 8² + 16² = ?²

4) 8² + ?² = 10²

Step-by-step explanation:

Because these are all right triangles, we can use the Pythagorean Theorem:

a² + b² = c²

Where c is the hypotenuse, the longest side of the triangle. It can be identified as being across from the right angle of the right triangle.

The legs are the two other sides of the triangle and they are interchangeable when placed in the Pythagorean Theorem.

!!HELP ILL MARK BRAINLIST !!Write an expression for the area of the square four by combining the areas of the four triangles and two squares

Answers

Answer:

yeetus

Step-by-step explanation:

Identify the slope y-intercept, and x-intercept of the graph of the linear equation.
y = 4x − 7
y-intercept
x-intercept

Answers

Answer:

slope is 4

y-intercept is -7

x-intercept is 7/4

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