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

Does 2,4,5 make a right triangle

Answers

Answer:

No

Step-by-step explanation:

The formula is a² + b² = c²

2² + 4² = 5²

4 + 16 = 25

20 ≠ 25

20 is not equal to 25, so 2, 4, 5 does not make a right angle triangle.

Answer: Yes.

Step-by-step explanation:

2 + 4 > 5  

2 + 5 > 4  

4 + 5 > 2  

Line A is perpendicular to line B.

If the slope of line A is -1/7, what is the slope of line B?

Answers

Answer:

7.

Step-by-step explanation:

The slope of a line perpendicular to a line of slope m is -1/m.

So the answer is  -1 / -1/7

= -1 * 7/-1

= 7.

The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?

Answers

The slope is ¾ at all points on M.

Need help with this please

Answers

Answer:

158 correct

Step-by-step explanation:

158

Step-by-step explanation:

Homework, 12 points for whoever answers

Answers

Answer: one second

Step-by-step explanation:

Answer:

1. 8

2. 25

You are divided

Mr. Jackson decides to build a planter in the shape of a cube for his wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

Answers

The question is incomplete. Here is the complete question.

Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.

How many square feet of material does Mr Jackson need to build the planter?

(a) 27 square feet

(b) 45 square feet

(c) 60 square feet

(d) 720 square feet

Answer: 45 square feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

[tex]s=\frac{P}{4}[/tex]

[tex]s=\frac{12}{4}[/tex]

s = 3

Area of a square is

[tex]A=s^{2}[/tex]

[tex]A=3^{2}[/tex]

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

[tex]A_{t}=9+9+9+9+9[/tex]

[tex]A_{t}=[/tex] 45

Mr Jackson will need 45 square feet of material to build the planter.

Answer:

45 feet

Step-by-step explanation: A cube is a regular solid with six square faces.

Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.

Perimeter is the sum of all the sides. For a square, perimeter is given by

P = 4s

Then, side of the bottom is

s = 3

Area of a square is

A = 9

The planter is a cube with 5 faces, because the top is open. Then, total area is

45

Mr Jackson will need 45 square feet of material to build the planter.

I need this done! Decent amount of points! And chance of Boeing marked brainleist! O:

Answers

Answer:63

Step-by-step explanation:

I know this its 63

Answer:

Step-by-step explanation:

a)   21 divided by 3 = 7

       answer = 7

b)21+21=42

      answer = 2

c) 7+6 = 13

   answer = 7

d) I don't know or it could be -8-8= -16   (I am not sure)

e) 3 x 30= 90

  answer= 90

f)-7-6 = -13

answer= -13

Amy has 4 pounds of ground pork to make meatballs. She uses 5/8 pound per meatball to make 6 meatballs. How many 1/8 ​-pound meatballs can amy make with the remaining ​?

Answers

6 meatballs * (⅝ pound)/meatball = 3.75 pounds
3.75 pounds was used. 0.25 remains.

0.25 pound * (1 meatball)/(⅛ pound) = 2 meatballs

A produce manager is deciding whether there is customer demand for expanding the organic food section of her store. How could she obtain the information she needs?

Answers

Answer:

Step-by-step explanation:

The best way to gather this information is to create a survey that asks all the pertinent information regarding organic food and surveying a large population of the individuals that enter her store. This selected population would need to be selected at random so that the sample group accurately represents the choices of the entire population of customers. Otherwise, the data would be biased and not valid.

Determine m∠DFG :))))

Answers

Answer:  127 (choice D)

=========================================================

Explanation:

We can apply the remote interior angle theorem.

The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.

The remote interior angles add to this exterior angle.

(angle FGH) + (angle GHF) = angle DFG

(89) + (5x-7) = 14x+1

5x + 82 = 14x + 1

82-1 = 14x-5x

81 = 9x

9x = 81

x = 81/9

x = 9

If this is the case, then,

angle DFG = 14*x+1 = 14*9+1 = 127

Help and please make sure the answer is right? :)

Answers

Answer:

8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hello again lol

these are alternate interior angles so they are equal

5x + 5 = 45

5x = 40

x = 8

Will give brainlist if right! Number 13 and 14 plz

Answers

Answer:

13 - 14

14 - base area 30 and height 19

base area 285 and height 2

Step-by-step explanation:

1428/17/6=14

Suppose that a phone that originally sold for $800 and is worth 3/5 of its value each year after it is released. Write an equation for the value of the phone, y years after it is released.

Answers

Answer:

v = 800 - 3/5y

Step-by-step explanation:

v = value

y = years

The original cost/value was 800 dollars which means you would have to subtract the 3/5 decrease in value each year.

v = 800 - 3/5y

Answer:

800/(y*3/5)

Step-by-step explanation:

Please help will give Brain!

Answers

Answer:

its 4 :)

Step-by-step explanation:

heyyy please give me brain i really am thankfull if you do and

also have a nice day hope this help and thank you very much.

A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.


True or False

Answers

True

Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails. It doesn't change the percentage of it landing on either side. So in that case, it is true.

Hope this helps!

The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.

here, we have,

we know that,

The higher the likelihood, the more likely it is that the event will take place. A definite occurrence has a chance of 1 while an impossible event has a probability of 0.

we have,

When a coin is flipped the probability of getting a heads and a tail is 50%.

Hence, without the consideration of the flips and the result the theoretical probability that the next coin flip will be heads is 50%.

The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.

Learn more about probability here:

brainly.com/question/30034780

#SPJ2

The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.

Answers

Answer:

7 inches and 5 inches

Step-by-step explanation:

The length the length and width of the rectangle be l and b.

Accodrding to question,

Width, b = l-2

Perimeter, P = 24 inches

We know that,

The perimeter of a rectangle is given by :

P = 2(l+b)

24 = 2(l+l-2)

12 = 2l-2

14=2l

l = 7 inches

Width, b = 7-2 = 5 inches

Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.

PLZZ HELP WILL GIVE BRAINLIEST

Answers

Answer:

x=2 y=4

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

substitute the [tex]y = 2x[/tex] for the [tex]y[/tex] in [tex]x = -y + 6[/tex]

[tex]x = -(2x) + 6[/tex]

[tex]x = -2x + 6[/tex]

[tex]3x = 6[/tex]

[tex]x = 2[/tex]

next take [tex]x = 2[/tex] and input it into [tex]y = 2x[/tex]

[tex]y = 2(2)[/tex]

[tex]y = 4[/tex]

so if [tex]x =2[/tex] and [tex]y = 4[/tex], the ordered pair solution is:

[tex](2,4)[/tex]

WILL MARK YOU BRAINLIEST

Answers

Answer:

ABCD is a rhombus => AC is perpendicular with BD

=> AC = 2(2n + 5) = 30

<=> 2n + 5 = 15

=> n = 5

with n = 5 => AC/2 = 15

BD/2 = 4.5 - 3 = 17

BC² = (AC² + BD²)/4 = 514/4 = 128.5

=> BC = 11.34

Answer:

Step-by-step explanation:

The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.

AC = 30

2n + 5 = 30      Subtract 5 from both sides.

2n = 30 - 5

2n = 25            Divide by 2

n = 25/2

n = 13.5

====================

BD = 4n - 3

BD = 4*13.5 - 3

BD = 54 - 3

BD = 51

Write a formulation for the 9th term of the sequence below 5, 15, 45, 135

Answers

Answer:

a ^5 = 405

I dont really know the answer

A9=(5)(3^9-1)

Answer: 32,805

HELP PLEASE!
A large pine tree was struck by lightning and fell as shown by the diagram below. Which equation could be used to find the length of the fallen part of the tree

Answers

Answer:

Option C should be the answer.

261, 256,251,... what would be the 46th term

Answers

Answer:

36

Step-by-step explanation:

Please help I need help with this right triangle problem

Answers

Answer:

sorry that looks like a test and i do not no

using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up

Answers

Answer:

g(x) = 2^x + 6

Step-by-step explanation:

Parent function:

f(x) = 2^x

Translation 6 units up:

g(x) = f(x) + 6

or

g(x) = 2^x + 6

Someone plz help me

Answers

Answer:

its the second option thats the answer

Find the value of the variables for the given special parallelogram.​

Answers

Answer : x = 5 , y =4



Step-by-step explanation :

which of the following is equivalent to (5)^7/3? 5^-4
5^4
^7squroot5^3
^3squroot5^7​

Answers

Answer:

^7 squroot5^3

Step-by-step explanation:

5x2= 10

7÷ 3= 2.5

Could someone explain how to do this, I have no idea how...

Answers

Answer:

2a²

Step-by-step explanation:

Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.

Lets deal with the top of the fraction first:

4ax3a³

Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

(4x3)x(axa³)

12x(a⁴) (because nᵃxnᵇ=nᵃ⁺ᵇ)

12a⁴

Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

Now divide the 'a' parts: a⁴/a²=a² (because nᵃ/nᵇ=nᵃ⁻ᵇ)

Now we have 2a²

The price of a watch was increased by 20% to £198
What was the price before the increase?

Answers

20/100*198 it is simple
198/1.2=165
Hope it helps

what% of $700,000 = $525,000

Answers

Answer:

$525,000/$700,000×100%=75% is required %.

what is 3 3/5 + 6 3/10

Answers

Answer:

18/5 or 3 3/5

Step-by-step explanation:

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