Find the area of a trapezoidal tabletop, if its parallel sides are 2 m and 3 m long and the perpendicular distance
between them is l m.

Answers

Answer 1

Answer:

The area of the trapezoidal table top is 2.5 m²

Step-by-step explanation:

The area, A, of a trapezoid is given as half times the sum of the parallel side multiplied by the perpendicular distance between them

Therefore, we have;

[tex]A = \dfrac{a + b}{2} \times h[/tex]

The given parameters of the trapezoidal table top are;

The length of the parallel sides = 2 m and 3 m

The length of the perpendicular distance between the parallel sides = 1 m

Where, for the rectangular table top, we have;

'a', and 'b' = The lengths of the parallel sides = 2 m and 3 m respectively

h = The perpendicular distance between the parallel sides = 1 m

By substituting in the values, we have;

[tex]A = \dfrac{2 \ m + 3 \ m}{2} \times 1 \ m = 2.5 \ m^2[/tex]

The area of the trapezoidal table top, A = 2.5 m².


Related Questions

mrs. kelly asked her students to plot the number of books they read over summer. Using the dot plot, how many students answered the question?

Answers

Answer:

18

Step-by-step explanation:

Add all the dots. 2+1+3+2+6+3+1=18

find x. PLSSSS HELP HURRYYY !!

Answers

Answer:

x = 141

Step-by-step explanation:

In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is:​

Answers

Answer:

Given that angle APB = 100°

Angle CPB = 180°- 100°. (Angle APB and CPB form a linear pair)

We know all triangles formed here are isosceles

Therefore,

We can take angle PBC= angle PCB = x

Now,

Angle CPB+ x + x = 180°. ( Triangle sum property)

100° + 2x = 180°

2x = 180°- 100°

2x= 80°

x= 80°/2

x= 40°

Hope you found this helpful. Please mark this as the brainliest answer if you do.

Please show workings.

To start a transport company, a business man needs at least 5 buses and 10 minibuses .
He is not able to run more than 30 vehicles all together.
A bus takes up 3 units of parking space, a minibus takes up 1 uni of parking space and there are only 54 units available.
If x and y are the number of buses and minibuses respectively.

a. Write down for inequalities which represents the restrictions of the businessman.
b. Draw a gaph that shows a region representing possible values of x and y.
c. Find the greatest number of:
i. buses
ii. minibuses that the business can run​

Answers

9514 1404 393

Answer:

  a) x≥5; y≥10; x+y≤30; 3x+y≤54

  b) see attached

  c) i. 14 buses; ii. 25 minibuses

Step-by-step explanation:

a. The given restrictions are ...

  x ≥ 5 . . . . . . . . . minimum number of buses

  y ≥ 10 . . . . . . . . minimum number of minibuses

  x + y ≤ 30 . . . . .maximum number of vehicles

  3x +y ≤ 54 . . . . maximum number of parking units

__

b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.

__

c. The second attachment shows the maximum numbers of each.

i. maximum buses: 14 (and 12 minibuses)

ii. maximum minibuses: 25 (and 5 buses)

Question 6 of 17
The side lengths of a triangle are 9, 12, and 18. Is this a right triangle

Answers

The answer is A

AAAAAAAA

Answer:

A is the correct answer

Step-by-step explanation:

Используя теорему о внешнем угле треугольника, найдите угол С.​

Answers

i cant speak russian or understand russian

A scientist is testing a new antibiotic on some bacteria she discovers the the antibiotic kills half of the Bactria every hour if she starts with 42000 bacteria what equation can be used to predict the number of bacteria after x hours
a). y= 42000(2)^x
b). y=42000(1/2)^x
c). y=42000(1.5)^x
d). y=(42000/2)^x

Answers

D because if you add all the bacteria and then you subtract and multiply than divide you get B

David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?

Answers

Multiply 25x 2 , which is 50 and then do 67 minus 50, which is 17. David has to give back $17 .

PLEASEEEE HELPPPPPP!!!

Answers

Answer:

18

Step-by-step explanation:

Can anyone answer this for me thanks.

Answers

Answer:

ghhhbvhnv

Step-by-step explanation:

kjkjkjjn,nj,jn,jn

The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers(help a sis out)

Answers

Answer:

1st number = 4

2nd number = -1

Step-by-step explanation:

Let n = 1st number

Let m = 2nd number

2n + 4m = 4

n - m = 5

Substitu method, let n = 5 + m

2(5+m) + 4m = 4

10 + 2m + 4m = 4

6m = -6

m = -1

find n:

n - (-1) = 5

n + 1 = 5

n = 4

-5x = 25
what is the answer for x?

Answers

Answer:

i think its -5

Step-by-step explanation:

if you devide 25 by -5 you get -5

Answer: x = -5

Step-by-step explanation:

We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.

First, we will divide -5 from 25.

25 ÷ -5 = -5.

Because of this, x = -5!

If we're not sure, we can also check the equation.

-5 x -5 = 25, so the answer is true.

In conclusion, x = -5!

if you know what is a pie

Answers

Yes, ik what a pie is but which definition of a pie are you talking about. A food or mathematical?
Pi= 3.14 u eat pie because pie is food

HELP TIMED!!
WILL GIVE BRAINLIEST

Answers

It’s b my ninjas pog

what is the answer to 35% of 820

Answers

Answer:

35%of 820

35/100×820

287

...........

Answer:

287

Step-by-step explanation:

100% = 820

35%   = 820 ÷ 100 × 35

         = 287

if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?​

Answers

Answer:

60! hope this helps!

Step-by-step explanation:

I NEED THE VALUE OF X PLEASE HELP!

Answers

Answer: 25.81

Step-by-step explanation:

We can see its a right triangle and then with Squareroot(21^2 + 15^2) = 25.81

Tom needs to buy a wood board long enough to cut into 4 pieces,
each of which needs to measure 8.5 inches. Estimate to the nearest inch
7
how long of a board Tom needs to buy.
A. 36 inches
B. 32 inches
C.40 inches
D. 9 inches

Answers

The answer is A. 8.5 times 4 = 36

Hey I'm Chloe, Can You Help Me Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?

Answers

Answer:

y = 9x

Step-by-step explanation:

Find DC (Image Below)

Answers

Answer:

79239729379249

Step-by-step explanation:

your aswer is 284389300 oo

What is 0.000056023 written in scientific notation?

Answers

Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)

Write an algebraic expression for the following word expression.

13 more than the product of m and 3

Evaluate the expression for the value of the variable: 6

Answers

Answer:

3m + 13 = 31 I hope this helps you!

please someone help me, will give brainily

Answers

Answer:

sorry I don't know sis ☹️

Inner square
Area=100 units
Side length=10 units

Outer square
Area=196 units
Side length=14 units

PLEASE HELP ME PLEASE

Answers

Answer:

B

Step-by-step explanation:

(f – g)(x) = f (x) – g(x)=

[tex]3 {x}^{2} - 4x + 3 \\ - 2 {x}^{2} + 6x + 4 \\ = 5 {x}^{2} - 10x - 1[/tex]

y=-5/4x-1 what is the slope and y intercept

Answers

Answer:

Slope = -5/4.    And y-int = (0,-1)

Step-by-step explanation:

Riko is ordering a submarine sandwich for 6 people. Each person will eat the same size section of the sandwich. The section size should be at least 4 inches. What is the length of the smallest sandwich Riko should order?

Answers

Answer: 24 inches.

Step-by-step explanation:

If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.

There are 6 people, which means that each person will eat 4 inches of a sandwich.

To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.

6 x 4 = 24.

In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.

(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)

A union negotiates for a cost of living raise of 7%. What is the raise for a union member whose salary is $40,240? What is this person’s new salary?

Answers

$2816.80 is the raise

21 is 30% of 70

Michelle has 2/3 of her monthly allowance left. She plans to save 1/4 of the money she has left . What fraction of the original allowance does she plan to save

Answers

Answer: The fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]

Step-by-step explanation:

Let x = original monthly allowance

Monthly allowance left = [tex]\dfrac23x[/tex]

She plans to save = [tex]\dfrac14[/tex] of (Monthly allowance left)

= [tex]\dfrac14\times\dfrac23x[/tex]

[tex]=\dfrac{2}{12}x\\\\=\dfrac{1}{6}x[/tex]

i.e. the fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]

Please help me if you can. If possible please write how you got the answer so I can remember it next time I get a question like this.

Answers

Answer:

Step-by-step explanation: ༼ つ ◕_◕ ༽つ

So what I'm thinking right. If it costs my pal bob $0.25 for each cupcake and an additional $15 per month we will probably need to variables. So check it

Our positive when we make money is when bob sells cupcakes right? but our negative where bob is spending his money is the $0.25 it cost per cupcake and the $15 a month he also has to pay for expenses

$1.50c-$0.25c-$15.00m

c represents the amount of cupcakes while m represents each month

So if Buddy Boy Bob sold 85 cupcakes in one month lets try to use our equation to solve for profit shall we.  

$1.5(85)-$0.25(85)-$15(1)= Bob made about $91.25

what's a variable?????????????

Answers

Answer:

In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.

Step-by-step explanation:

Answer:

VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.

CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w

EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.

TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.

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