The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then the two parallel sides are.

Answers

Answer 1

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm


Related Questions

if f(x) = x^2, and
g(x) = x-1, then

g(f(x))=x^__+__​

Answers

Answer:

(x^2) + (-1)

Step-by-step explanation:

the equation f(x) BECOMES x in the g(x)

x-1

(x^2) -1

Answer:

g(f(x)) = x^2 + (-1)

Step-by-step explanation:

f(x) = x^2

g(x) = x - 1

Therefore, for g(f(x)), we need to substitute the value of x in f(x) in g(x).

Therefore,

g(x) = (x^2) - 1

      = (x^2) + (-1)

PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!!

The Navy Pier Ferris Wheel in Chicago has a circumference that is ​56% of the circumference of the first Ferris wheel built in 1893. The Circumfrence of the Navy Peir wheel is 439.6 ft. What is the radius of the first ferris wheel?

Answers

Hey there! I'm happy to help!

439.6 is 56% of the first Ferris wheel. The word is means equals, so we can set up the following equation. We will call the original wheel w.

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125 ft.

Have a wonderful day! :D

Step-by-step explanation:

439.6=0.56w

We divide both sides by 0.56

w=785

We divide by 3.14 to find the diameter.

785/3.14=250

Radius is half of the diameter.

250/2=125

The radius of the first Ferris wheel is 125

125ft.

answerers about Caca Andika from Indonesia

The number is between 0 and 9. It cannot be evenly divided by 2. It is more than five. What is the number?

Answers

Answer:

7

Step-by-step explanation:

Factor the trinomial:
3x2 + 13x + 12

Answers

Answer:

Step-by-step explanation:

(3x + 4)(x + 3)

3x^2 + 9x + 4x + 12

3x^2 + 13x + 12

If 3 times a certain number is increased by 4 the result is 28. What is the number?
If x is "the number," which of the following equations could be used to solve for the number?
3x + 4 = 28
3 x= 4 + 28
3( x + 4) = 28

Answers

3x+4=28 because 3 times an unknown number was mentioned first and mentioned together so they will be together, increased by 4 is +4 and comes after, the result of is the same as equals so you put the equals sign and whatever number they gave after.

24 is what percent of 49?

Answers

24 is what percent of 49? The answer to that is 48.98.

Answer:

48.97

Step-by-step explanation:

please don’t skip me i really need this answer

show all work

Answers

Answer: The answer is b

Step-by-step explanation:

A helicopter flies between two islands that are 20 miles apart. The angle of elevation with one island is 15o and 35o with the second island. What is the mileage of the helicopter? Round your answer to the nearest tenth of a mile. (Law of Sines or Law of Cosines Problem)

Answers

Answer:

Step-by-step explanation:

From the figure attached,

A helicopter is flying at a height 'h' and angle of elevations from two islands C and B are 35° and 15° respectively.

Let the measure of BD = x miles

From ΔABD,

tan(15) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{h}{x}[/tex]

h = x.tan(15) ---------(1)

From ΔACD,

tan(35) = [tex]\frac{h}{12-x}[/tex]

h = (12 - x).tan(35) ------(2)

By equating the values of h from equations (1) and (2),

x.tan(15) = (12 - x).tan(35)

[tex]\frac{x}{12-x}=\frac{\text{tan}35}{\text{tan}15}[/tex]

[tex]\frac{x}{12-x}=2.613[/tex]

x = 2.613(12 - x)

x + 2.613x = 31.386

3.613x = 31.386

x = 9.914 ≈ 9.9 miles

From equation (1),

h = x.tan(15)

  = 9.9[tan(15)]

  = 2.65 ≈ 2.7 miles

Therefore, helicopter is flying at the vertical height = 2.7 miles and horizontal distance of the helicopter from the island B = 9.9 miles.

Answer:

2.7

Step-by-step explanation:

I took the quiz and got it right :)

Instrument Panel
Identify instruments and gauges on the instrument panel of your family car or that of a friend and
list below.

Answers

Some of them are too blurry to see, sorry i’ll answer the ones i can see:

C: Seat belt reminder
R: Fuel gauge
E: Oil temperature gauge
G: Tachometer
H: High beam indicator
I: Speedometer
F and J: Turn signal indicators
W: Transmission shift indicator
Y: Oil pressure gauge
Z: Odometer
L: Cruise control
K: Battery voltage gauge
P: Airbag indicator

if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight

Answers

That would be 180 cuz you lose a total of 5 pounds per 6 months so30 pounds. Then 210 minus 30 is 180

What is the sum for the expression below? 234+114+312

Answers

Answer:

660

Step-by-step explanation:

Please help! I don't know if my answer is correct.​

Answers

Answer:

c/20  cups

Step-by-step explanation:

Number of students in the baking club = 10

If each student made 2 cakes

then total cakes prepared by the students = 10 × 2 = 20

If total amount of flour used to prepare 20 cakes = c cups

and amount of flour used to prepare one cake = n cups

Then amount of flour used to prepare 20 cakes = 20n

Therefore, total amount of flour c = 2n

or n =  c/20

Amount of flour used for one cake =  c/20 cups

Answer:

the answer is c/20 cups!

Step-by-step explanation:

Yay you did great good job

the products of 0.42 with 0.2 can be written in fraction?
Yes or no and whats the right fraction i keep get it wrong​

Answers

I believe it is yes. I think the right fraction is 84/1000. Let me know if this works and if not tell me

Answer:

yes ... 42/100 × 2/10= 21/250

What type of number is pi?

Answers

Answer:

Pi is an irrational number

Step-by-step explanation:

Pi is an irrational number because it cannot be written down as a simple fraction.

Answer:

We know that pi is a number that never ends. Its decimals can be written out forever endlessly. Therefore, it must be an irrational number.

Step-by-step explanation:

First, let us go over the different types of numbers:

Natural Numbers - 1, 2, 3, ...

Whole Numbers - All natural numbers including 0

Integers - All whole numbers, both positive and negative

Rational Numbers - All numbers, both positive and negative that can be represented as a fraction. In other words, they have a terminating decimal point

Irrational Numbers - Numbers that cannot be written as a fraction. Numbers who have an infinite number of decimal points

Real Numbers - Includes everything else listed.

Order the values from
least to greatest:
1-1, 1-2, -3,-4

Answers

-4,-3,-2,-1, 1 when doing negative the biggest number is the lowest

ARITHMETIC SEQUENCES HELP. (QUESTIONS ATTACHED)

Answers

The answer is b because it looks like it

Colleen is 15 years from retiring. She opens an account at chas. She plans to deposit 10,000 each year

Answers

Answer:

150,000

Step-by-step explanation:

15x10000=150,000

Answer:

$150,000 - Make sure to read my explanation

Step-by-step explanation:

You didn't include the question, but I'm just gonna guess that you what to know how much money she will have deposited by the time she retires. This is just a simple multiplication problem if so.

15 * 10,000 = $150,000

In conclusion she will have saved 150,000 by the time she retires. Sorry If I guessed the question wrong.

What does 2 tenths look like?

Answers

Answer:

2/10 or 0.2

i dont know which tenths you wanted so i did both

Flavio is driving along a highway at a speed of 30 meters per second. If Flavio drives for 2 hours at this speed, how many miles
will he travel? Round to the nearest whole number. (1 point)

A.60
B.134
C.67
D.37

Answers

Answer:A.60

Step-by-step explanation:

Answer:

b.134

Step-by-step explanation:

1609 meters in every mile

30x60=1800 meters in one minute

1800x60=108,000 meters every hour

108,000x2=216,000 divide that by 1609 .216,000 divided by 1609=134.2449

The ratio of red cars to blue cars in a parking lot was 5:3 . If there was 40 red cars , how many blue cars were there ?

Answers

the answer is x equals 24
you set up a proportion new over old
so for red cars 40 over 5
since we don’t know the new for blue cars we’ll use x
so x over 3
we then make them equal to each other
40 x
—- = —-
5 3
cross multiply, then we get
120=5x
isolate the x by dividing 5 from both sides to get 24

Give the center and radius of the circle.
x2 + y2 = 25
(2.3) r=5
(0.0) r=5
(0,0) r=25
(3.2) r=25

Answers

Answer:

x=√−y2+25 or x=−√−y2+25

Step-by-step explanation:

x2+y2=25

Step 1: Add -y^2 to both sides.

x2+y2+−y2=25+−y2x2=−y2+25

Step 2: Take square root.

x=√−y2+25 or x=−√−y2+25

Answer:

x=√−y2+25 or x=−√−y2+25

guys i need helpp plss​

Answers

Answer:

-311

Step-by-step explanation:

Step 1: Define variables

g⁵ - h³

g = 2

h = 7

Step 2: Plug in variables

2⁵ - 7³

Step 3: Evaluate

32 - 343

-311

are all composite numbers even

Answers

Answer:

No.

Step-by-step explanation:

A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.

Question 1
the formula for finding the area of a trapezoid is A= 1/2(b1+b2)h where A represents the area of the trapezoid, b1 and b2 are bases, and h represents the height. Solve the formula for h.

WILL MAKE YOU BRAINLIEST IF YOU ANSWER FIRST AND HAS THE RIGHT ANSWER!!!


Answers

Answer:

[tex] \frac{2a}{(b1 + b2)} [/tex]

Step-by-step explanation:

A = 1/2(B1 + B2)h

2A = (B1 + B2)h

h = 2A/(B1 + B2)

7) A real number that is less than zero. These represent opposites.

Answers

Answer:

A negative number

Step-by-step explanation:

I know this is right. Negative numbers represent opposites. If positive represents a movement to the right, negative represents a movement to the left.In the context of negative numbers, a number that is greater than zero is referred to as positive. Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

It’s a negative number because anything less then Zero is negative

Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:

5/1 is the rate

Step-by-step explanation:

for every hour, joe reads 5 chapters

Answer:

just divide 30 by 6 which is 5

Step-by-step explanation:

solve equation 4x+2y=8 for y

Answers

Answer: y= -2x+4

Step-by-step explanation:

2y=-4x+8

y= -4/2x+8/2

Answer:

y=-2x+4

Step-by-step explanation:

4x+2y=8

2y=8-4x

y=(8-4x)/2

y=4-2x

y=-2x+4

Translate the following into a verbal expression:
X2 - 5

Answers

X times Two minus five
The answer is X times 2-5

a roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 seats are empty. write an equation that can be used to determine the number of seats in each car, s
what would that be as an algebraic expression? ​

Answers

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

[tex]4s=24[/tex]

Therefore, the required equation is [tex]4s=24[/tex].

Divide both sides by 4.

[tex]s=\dfrac{24}{4}[/tex]

[tex]s=6[/tex]

Therefore, the number of seats in each car is 6.

whats commutative property of multiplication.

Answers

Answer:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Step-by-step explanation:

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