Mathematics High School

A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the other base. ​

Answers

Answer 1

Answer:

27

Step-by-step explanation:

Givens

b1 = 13

b2 = ?

h = 6

Area = 120

Formula

Area = (b1 + b2) * h/2         Multiply by 2

2Area = (b1 + b2)*h           Divide by h

2Area/h = b1 + b2              Subtract b1 from both sides

2Area/h - b1 = b2

Solution

2*120 / 6 - 13 = b2

40 - 13 = b2

b2 = 27

It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.

Related Questions

PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!

Answers

Answer:

x = 106.5

Step-by-step explanation:

sin 28 = opp/hyp = 50/x

0.4695 = 50/x

0.4695x = 50

x = 106.5

Lance rides his bike at a constant speed of 32 mph. Write an equation to represent the total distance, d, he can ride in h hours.

Answers

Answer:

d = 32h

Step-by-step explanation:

For which number does the 9 have the least?
1. 9.001
2. 7.079
3. 0.9
4. 0.29

Answers

Answer:

2. 7.079

Step-by-step explanation:

The nine on the second choice is on the thousandths place. The nines on the other options are higher.

Hope this helps!

2. 7.079

this is because the nine is in the farthest place which makes it worth the least

Which of the following are solutions to the inequality -7x + 14 > -3x - 6? Select all that apply.
A.-10
B. 10
C. -5
D. 5
E. -3
F. 3
G. 0

Answers

Answer:

it is d

Step-by-step explanation:

-7x+14+3x>-6-7x+3x>-6_14-4x>-20x<5

Write the inequality that represents the number line

Answers

Answer:

C)

Step-by-step explanation:

Find the area of the shaded region.

Answers

125.6 inches²(Assuming pi equals 3.14)Find the area of the circle:10² = 100100 x 3.14 = 31472 degrees is 1/5 of a circle72 + 72 = 2/5 of the circle2/5 = 0.40.4 x 314 = 125.6Please let me know if I am wrong.
The answer is .... 125.6

BELOW IS THE PROBLEM

Answers

9514 1404 393

Answer:

  5.3

Step-by-step explanation:

The Pythagorean theorem applies. The square of the hypotenuse is equal to the sum of the squares of the other two sides.

  8² = x² + 6²

  64 = x² +36

  28 = x²

  √28 = x ≈ 5.3

The missing measure is 5.3.

_____

Comment on the question

The triangle isn't marked, but we must assume it is a right triangle. If it is not a right triangle, we cannot find the missing measure.

Answer:

5.3 is the answer.

Step-by-step explanation:

#CarryOnLearning

8+y−23k+3m What is the constant? What is the coefficient of the y term? How many terms are there?

Answers

Answer:

Step-by-step explanation:

There are 4 terms

Coefficient of y term = 1

Constant = 8

The term without variable is the constant term.

Write an equation to match each graph

Answers

Answer:

y=lxl

Step-by-step explanation:

Answer:

y=|x|

Step-by-step explanation:

The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,

lots of point n brainliest SO help rq

Bruce invested a certain amount of money for five years at a rate of 2.25%. At the end of that time, he had earned $675 in interest. How much money was invested? (See Example 3 from your notes.)

a
$6000
b
$6675
c
$6750
d
$5645

Answers

Answer:

A. $6000

Step-by-step explanation:

Let the invested amount is x.

Then the interest amount is:

x*5*2.25/100 = 6750.1125x = 675x = 675 / 0.1125x = 6000

Correct choice is A

Eliminate the y in the following system of equations. What is the result when you add the two equations?
3x - 2y = 8
x + y = 6

Answers

Answer:

X=4

Step-by-step explanation:

3x-2y=8

x+y=6

multiply second equation by 2 so you can eliminate y

2(x+y)=2(6)

2x+2y=12

now add two equations together

first equation:                          3x-2y=8

modified second equation     2x+2y=12

added together eliminates y. 5x+0=20

                                                   X=4

Answer:

.

Step-by-step explanation:

Is this a linear function y=3x

Answers

YES it’s is a linear function

Answer:

yes

Step-by-step explanation:

linear means it goes in a straight line

i think all functions are linear unless they have an exponent im not sure though but this one is linear

I rly need help with #2-4 and #8-9 PLZZ

Answers

Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

a scuba diver dived 54ft below sea level to find an oyster. he then swam up 20 ft to open the oyster to see if it contained a pearl. how many ft below sea level was he when opened the oyster​

Answers

Answer:

The diver was 34 feet below sea level

answer this question for brainilest and 30 points

Answers

The answer is V is less than 200 cubic inches

How do I do this I need help please?

Answers

Answer:

34.8 to 1 dp

Step-by-step explanation:

18/2 = 9

Area of rectangle 18 X 9 = 162 cm^2

diameter of each circle 9

radius = 4.5

Area of a circle = πr^2

π X 4.5^2 = 63.6172512

63.6172512 X 2 (there are 2 circles) = 127.234502

162 - 127.234502 = 34.7654975

34.8 to 1dp

What is the slope of the line that passes through the points: (5, -3) and
(-1,6)

Answers

Answer:

-1/2

Step-by-step explanation:

https://www.calculator.net/slope-calculator.html

That website has the best explanation ^^^^^

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]m=\frac{\text{rise}}{\text{run}}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (5, -3) (-1, 6).

[tex]\frac{6-(-3)}{-1-5}=\frac{9}{-6} =-\frac{9}{6}=\boxed{-\frac{3}{2}}[/tex]

Hope this helps you!

what is the slope for these 3 lines

Answers

1. 1/4
2. 2/1 or just 2
3. 5/1 or just 5

7 3/4 + 3 5/6 - 1 3/4​

Answers

Answer:

This does not have to be complicated.

Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6

Step-by-step explanation:

triangle TAM has the vertices T(0,5), A(4,1), and M(3,6). Find the Ry= -2 then T‹-4, 0› (triangle TAM)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attached graph shows the original triangle (red) reflected over y=-2 (purple) and translated left 4 units (blue).

Each morning, it takes Leah 5 minutes to walk to the bus stop. She rides the bus for 35
minutes and then walks 10 minutes to her office. If Leah needs to be at work by 8:10 A.M.,
what is the latest time she can leave her house?

Answers

Answer:

7:20 A.M.

Step-by-step explanation:

5+35+10=50 mins

So she has to leave 50 mins before 8:10 A.M.

which is 7:20 A.M.

Leah would need to leave at 7:20 A.M.

5+35+10= 50

Which means, she would need to leave at least 50 minutes before she has to be at work.

Hope this helps!!

Can I have brainliest..? If not, that’s fine :)

Amelia can spend no more than $150 to rent a car for a day trip. A rental car costs $35 per day plus $0.75 per mile.What is the maximum number of miles that Amelia can drive?

Answers

Answer:

If she is only driving the car for a day, she will only have to pay the one-time fee of $35 per day

35+0.75x=150

x being the number of miles

x= 153.3 miles

Evaluate:

12×2.4×2.4×7=

Answers

Answer:

483.84

Step-by-step explanation:

Answer:

483.84

Step-by-step explanation:

PLEASE HELP! I AM BEHIND ON SCHOOL WORK AND I NEED THIS! PLEASE SHOW WORK!

Answers

if ur question is to find the missing side length, it would be 7cm because the 8.2cm are right across from each other and are the same value. so the missing side across from 7cm would be 7cm too

Plzzz put the work step by step so I can copy

Answers

Answer:

down below

Step-by-step explanation:

inside of a triangle is 180 degrees

[tex]180=90+5x+2+4x-11\\180=5x+4x+90+2-11\\180=9x+81\\180-81=9x+81-81\\99=9x\\99/9=9x/9\\11=x[/tex]

now that we have our x we can find the angles

[tex]M=90\\\\K=5(11)+2\\K=57\\\\\\L=4(11)-11\\L=33[/tex]

PLEASE ANswer iLL TRY AND MARK BRAINLIEST

Answers

the best option is option number c because the line both marks on the 2 in the negative and positive side

A right triangle has one angle that measures 83º. What is the measure of the other acute
angle?

Answers

180-(83+90)=180-173=7

How much larger is 6 x 105 compared to
2 x 103? Explain how you know.

Answers

Answer:

397

Step-by-step explanation:

well we know that 6*105= 630 and 2*103 = 206 so we subtract 206 from 630 giving us 397

hope this helps.

Answer:

6×105=630

Step-by-step explanation:

2×103=206 so 6×105 is greater with 424 yimes2×103.

solve the simultaneous equation
2x + 4y=1
3x - 5y=7

Answers

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.

you randomly choose a shirt off the shelf. there is 4 blue shirts 2 black shirts and 2 green shirts and 1 white shirt and 1 red shirt. what is the probability of choosing a green shirt?​ im at school halp

Answers

Answer:

2 out of 10

Step-by-step explanation:

Simple math

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