A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base

Answers

Answer 1

Answer:

26 inches

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}[/tex](a + b) x h

a and b = 2 parallel sides

h = height

120 = 0.5(14 + b) x 6

120 = 3 x (14 +b)

Divide both sides of the equation by 3

120/3 = 14 + b

40 = 14 + b

Collect like terms

b = 40 - 14 = 26inches


Related Questions

Martha went shopping and wants to buy the following items.

A dress for $85.00
A pair of shoes for $62.00
A shirt for $23.00

She has one coupon to use on her purchase.
20% off the total, before tax
If she uses the coupon, what will be her total before tax?

A. $170.00
B. $34.00
C. $150.00
D. $136.00

Answers

Answer:

D. 136

Step-by-step explanation:

What is the answer to 10.50 X 8.5 pls help :\

Answers

Answer:

89.25

Step-by-step explanation:

If you do 10.50

              x 8.5 you get 89.25.

Answer:

89.25

Step-by-step explanation:

10.5 x 8.5 on a calculator.

Find the measure of Arc MP

Answers

Answer:

Arc MP = 118 degrees

Step-by-step explanation:

From what we have;

Arc MP = PN - MN

for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees

So PN is 180

Now, for MN, we are going to use angle-arc relationship

From what we have;

MN = 2 * 31 = 62 degrees

So we have the measure of MP as;

180 -62 = 118 degrees

HELP ME PLEASE! I NEED TO PAST THIS TEST!!!
The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below.

Degree Male
(in thousands) Female
(in thousands) Marginal
Totals
(in thousands)
Associate 298 489 787
Bachelor 685 916 1,601
Master 260 397 657
Professional 47 45 92
Doctorate 32 35 67
Marginal
Totals
(in thousands) 1,322 1,882 3,204

About how many students were awarded a bachelor’s degree in 2009?

A.
916,000

B.
685,000

C.
1,601,000

D.
1,322,000

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

I just took the test and I think you might not need this but to anybody else who needs the answer its C for sure 1,601,000.

Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of

Answers

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

What is the sum of the polynomials?
(-x2 + 9) + (-3x2 - 11x +4)

Answers

Answer:

- 4x² - 11x + 13

Step-by-step explanation:

Given

(- x² + 9) + (- 3x² - 11x + 4) ← remove parenthesis

= - x² + 9 - 3x² - 11x + 4 ← collect like terms

= - 4x² - 11x + 13

SOMEONE HELP ME PLS

Solve for x.

Answers

Answer:

X equals 6°.

Step-by-step explanation:

There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.

Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: If the product of x and 3 is y, write an equation to represent the relationship between the two variables.

Part B: Explain your work in Part A.

Part C: Create a table of values to display five solutions to the equation. Write the solutions as ordered pairs.

Answers

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Write the ratio 3 : 12 in its simplest form

Answers

Answer:

3 : 12

1 : 6

The final result is 1 : 6

3:12
3/12=1:4

This, 1:4 is your answer

HEEEELPPPPPPP!!!!!!!

Answers

Answer:

true

Step-by-step explanation:

if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.

Evaluate 1/2y+1/7 when y=1/5 .

Answers

Answer:

17/70 ([tex]\frac{17}{70}[/tex])

twins Denise and Deandre always flip a coin to describe who gets to ride in the front seat to school. during a 6-week period (30 school days), how many times does Denise likely get the front seat ?

Answers

15 because it is a 50/50 chance each coin flip meaning you spilt 30 in half making it 30


Helppp!!!!
Look at this graph what is the equation if the line in slope intercept form

Answers

Answer:

y =(2/3)x + 80

Step-by-step explanation:

to get the slope.. change in y/change in x  in two points.

so use the points (0,80) and (30,100) and you get 2/3

you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80

Plssss helpppp and thank you so so much

Answers

Answer:

8

Step-by-step explanation:

slope = change in y over change in x

as y goes up 8, x goes up 1

slope = 8/1 or just 8

Find the area of this triangle.
Round to the nearest tenth.

Answers

Answer:

42.4 m²

Step-by-step explanation:

The formula for the Area of this triangle = 1/2 absinθ

a = 8m

b = 12m

θ = 62°

The area of the triangle =

1/2 × 8m × 12m × sin 62

= 42.38 m²

Approximately = 42.4 m²

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (3, 1) and (-9, -5).


Help plz

Answers

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]

Gradient of given line

[tex] = \frac{1 - ( - 5)}{3 - ( - 9)} [/tex]

[tex] = \frac{1 + 5}{3 + 9} [/tex]

[tex] = \frac{6}{12} [/tex]

[tex] = \frac{1}{2} [/tex]

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]

Midpoint of given line

[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]

[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]

[tex] = ( - 3 , - 2)[/tex]

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

Use the net to find the surface area of the rectangular prism

Answers

Answer:

52

Step-by-step explanation:

Round 2.689 to the nearest tenth

Answers

Answer:

2.700

Step-by-step explanation:

You have to see if it is rounding up or down and it is rounding up

The answer is 2.7 ..............

use decimals to write the decimal number eight and four hundreths​

Answers

Answer: 8.040328

I don't know but hope it helps

A statement is shown. ​"The square root of x is a number that is non-terminating and non-repeating." ​Select all of the values of x that make the statement true. A:x=1 B: x=8 C: x=25 D: x=81 E: x=125

Answers

Answer:

The values of 'x' they make the statement true are;

B; x = 8

E; x = 125

Step-by-step explanation:

The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"

The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers

A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format

From the options, we have;

A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x

B: x = 8, √x = √8 = 2·√2  Is non-repeating, non-terminating, 8 ∈ x

C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x

D; x = 81, √x = √(81) = 9 ∉ x

E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.

Five less than the quotient of a number and 3 is 13. What is the number? Let n be the unknown number.

Answers

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54

Step-by-step explanation:

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]

Answer:  n/3 - 3 = 13

so its 48  your welcome

Step-by-step explanation:

Sammy uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

8 pints

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer: Function 1 has a greater rate of change than function two.

Function one is better then function two

In the data set below, what is the range? 9, 4, 9, 2, 8, 2, 1

Answers

First put these in order from least to greatest.

1,2,2,4,8,9,9 is the correct order
Range is when we subtract the greatest value of our data set from the smallest so in our case it would be 9-1 which leaves us with our answer that 8 is your range.

The coordinates of ADEF are D(3,3), E(8,3), and F(6,9). If you translate ADEF 3 units right and 2 units down, what are the coordinates of D'?
The coordinates of D'are (Type an ordered pair.)
PLEASE HELP I WILL MADK BRAINLIEST

Answers

Answer:

D(6,1) E(11,1) F(9,8)

Step-by-step explanation:

Just add 3 to the first number of each of the points since you're moving it right by 3 units (right is a positive value) and subtract 2 from the second number (since going down is a negative factor)

9. Which of the following fractions is equivalent to 1.68

Answers

Answer:

could you please put down the answer choices??? cant answer unless I know what fractions need to be picked

Step-by-step explanation:

Liz's heart beat 285 times in 3 minutes. Her heart beat
times in 1 minute.

Answers

Answer:

95

Step-by-step explanation:

285 divided by 3 is 95

What is the height, x, of the rectangular prism, if the volume is 750 cubic centimeters?

Answers

Answer:

6

Step-by-step explanation:

25x5=125

750 divided by 125 =6

Please use the heart to say thanks

This table represents Lola's check register. Her checking account had a balance of $1,685.25 on January 1. Use the information on the check register to determine the balance of Lola's checking account after the transaction on February 2 Enter your answer in the box​

Answers

Answer:

1327.01

Step-by-step explanation:

What is (4×-5)^2 in polynomial form

Answers

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

We start with this expression.

[tex](4x - 5)^2[/tex]

When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.

This means that [tex](4x - 5) (4x - 5)[/tex] would become...

[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]

Now, we simply need to put all of the terms into one expression.

[tex]4x^2-20x+25[/tex]

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