How to find an area of a trapezium

How To Find An Area Of A Trapezium

Answers

Answer 1

Answer:

A = 87.5 sq cm

Step-by-step explanation:

A = 1/2·h·(sum of bases)

A = 1/2 · 7 · (10 + 15)

A = 3.5(25)

A = 87.5 sq cm


Related Questions

Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?

Answers

Answer:

Step-by-step explanation:

Dad:  2/5

Son:  1/3

Who mowed most of the lawn? Dad, of course.  2/5 is larger than 1/3.  2/5 is 40% and 1/3 is 33.333%

How much of the lawn still needs to be mowed?  

 2/5 + 1/3 + X = 1  [1 means the whole lawn.  X is the remaining portion.]

6/15 + 5/15 + X = 1   [Convert each fraction so that they have a com,mon denominator.  This also shows that 2/5 (6/15) is larger than 1/3 (5/15).

11/15 + X = 1

X = 1 - 11/15

X = 4/15 left to be mowed.

How much does Mr. Doyle have left to mow?

We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.

4/15 left to be mowed.

Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard

Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard

Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.

Convert the fraction into a decimal number. Then we have

2/5 = 0.40

1/3 = 0.33

Mr. Doyle mowed faster than his son.

The amount of the lawn still needs to be mowed will be given as,

⇒ 1 - 2/5 - 1/3

⇒ (15 - 6 - 5) / 15

⇒ 4 / 15

The amount of lawn still needs to be mowed will be 4/15.

Mr. Doyle has left to mow and will be given as,

⇒ (4 / 15) x (2 / 5)

⇒ 8 / 75

Mr. Doyle has left to mow and will be 8/75.

More about the Algebra link is given below.

https://brainly.com/question/953809

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SIMPLIFY
STEP BY STEP EXPLANATION
WILL MARK BRAINLIEST!!!!!!!!!!!!!

Answers

Answer:

3x+7

  3

Step-by-step explanation:

(3x-7) × (3x+7) × ____2x+4_____

         6                     3x∧2-x-14

(3x-7) × (3x+7) × ____2(x+2)_____

         6                 3x∧2 × 6x-7x-14

(3x-7) × (3x+7) × _____x+2_______

         3                  3x × (x+2)-7(x+2)

(3x-7) × (3x+7) × _____ x+2_______

         3                     (x+2) × (3x-7)

3x+7

  3

Hope this helps! :)

A non-proportional timetion is represented by y-2x.
7 which table represents this function?
с
3
4.
A
13
15
17
9
12
16
4
79
15
D
B
im
4
3
2
9
23
30
13
4.

Answers

Answer:

The numbers appear random.  Are there two columns?  I can't decipher the list.  

Step-by-step explanation:

Plot the function and see if any of the points fall on the line.  See attachment.

Is the function y-2x = 7  ??  { I see y-2x.7}

y = 2x + 7

[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x

Answers

Answer:

x = √11

Step-by-step explanation:

(x + 3)(x - 3) = 2

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

**PLEASE HELP ME**
its pre calc !

Answers

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.

two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange​

Answers

10 dimes

The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.

mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost

Answers

Answer:

$0.31

Step-by-step explanation:

You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!

The diagram below shows how the tables and chairs are arranged in the school cafeteria. A table seats 3 people and the tables can be pushed together. When two tables come together, 4 people can sit around the table. Complete this table to show the relationship between the number of tables, n, and the number of students, S, who can sit around the table.

Answers

Answer:

well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size

please help!!
solve for x

Answers

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

x = 4

Therefore, the value of x is 4.

Together, Sierra and Gavin earned $5,404. Sierra earned four-sevenths
of the money

Answers

5/7 of $5,404 is $3088.

Sierra earned $3088 and Gavin earned $2316

Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog

Answers

Twenty two percentage

what is the answer help

Answers

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

How do I graph y=-2x+7?

Answers

Answer:

Step-by-step explanation:

Angles on a line add up to 180. So what is x?

Answers

Answer:

x=121

Step-by-step explanation:

360_304=56180_115=6565+56=121x=121

Answer:

x = 121°

Step-by-step explanation:

180 - 115 = 65°

The angle beside 115° is 65°.

A full circle is 360° so

360 - 304 = 56°

Add the two angles

65 + 56 = 121°

Subtract it to 180° to find the other angle

180 - 121 = 59°

Now subtract again to 180° to find the angle in the other side

180 - 59 = 121°

What is the value of x?

Answers

Answer:

x = 7

Step-by-step explanation:

The right angle is composed of the 2 given angles, so sum to 90°

4x + 40 + 6x - 20 = 90

10x + 20 = 90 ( subtract 20 from both sides )

10x = 70 ( divide both sides by 10 )

x = 7

a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.​

Answers

Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:

(2a-1+a+7)/2 = 17

(3a +6)/2 = 17

3a + 6 = 34

3a = 28

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

-2.7 = a - 3.3

what’s the operation
is it an inverse or a reciprocal
what does A=

Help ASAP

Answers

Answer:

a= 0.6

Step-by-step explanation:

This is the answer...........

Answer:

It is reciprocal.

A = 0.6

Step-by-step explanation:

Reciprocal” means “equality,”

To find the A. Use APE or Additive Property of Equality

-2. 7 = a - 3.3

-2.7 + 3.3 =  a

0. 6 = a

3-(1/3) to the fourth power

Answers

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

state the degree of f(x)= -x^4+x^2+x+1

Answers

Answer:

degree of 4

Step-by-step explanation:

The largest exponent.

Please solve this math problem... I will mark you brainliest

Answers

The answer would be x = 45 and y = 15. This is because congruent sides have congruent angles. If this is the case, you can fill in your triangle like this. All three sides of a triangle add up to 180 degrees. So, you set up your equation like this. Now you should have two different equations that add up to 180. Using the elimination method, you can solve this double variable equation. You can solve for any variable first but here I choose x. Now that you found x, you can substitute it back into one of your original equation to find y. I hope it helps!

Which inequality represents this graph?

A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1

Answers

Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

Can somebody help me with this question, im stuck on it.

Answers

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

Hope this helps! Please give this a rating and press the heart button! Thanks!

A scale drawing of triangle ABC has side lengths of 2 centimeters (cm), 4.8 cm, and 5.2 cm. The scale drawing was drawn using the scale of 1 cm=4 inches.
Raquel creates a different scale drawing of the original triangle ABC with the scale factor 116.
What are the side lengths in Raquel's scale drawing?
-1 in., 2.4 in., and 2.6 in.
-0.5 in., 1.2 in., and 1.3 in.
-8 in., 19.2 in., and 20.8 in.
-128 in., 307.2 in., and 332.8 in.

Answers

Step-by-step explanation:

I am not sure this is typed all correctly.

what I understand here :

there is an original triangle ABC in inches.

then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.

the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.

due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.

and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).

that means that all side lengths are divided by 16 for the resulting triangle.

8 inches /16 = 0.5 inches

19.2 inches / 16 = 1.2 inches

20.8 inches / 16 = 1.3 inches

so, the second answer option is correct.

Please answer
convert decimal divison expressions to fractional division expressions to create whole number divisions.
1. 35.7 ÷ 0.07
2. 486.12 ÷ 0.6
3. 3.43 ÷ 0.035
4. 5,418.54 ÷ 0.009
5. 812.5 ÷ 1.25
6. 17.343 ÷ 36.9
Will give brainliest to best answer!!

Answers

Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST

Answers

The answer is SAS, since two sides and one angle of one triangle is congruent to the another triangle.

The Happy Paws pet store holds obedience classes for newly adopted puppies. On the first
night of class, the instructor separates all of the puppies into 11 equal groups. Each group
has 3 puppies in it.
Use an equation to find the number of puppies in the class.

Answers

Answer:

33 is the correcr answeerrr

Step-by-step explanation:

11x3 is 33

The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.

Answers

Answer:

Independent variable = m

dependent variable = c

Step-by-step explanation:

c = 25 + 0.6m

where,

m = number of miles

c = total cost of rent

sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make

Answers

40
10/.25 =40 .25 is equal to 1/4 . therefore she can make 40 batches of cookies

can someone help me please​

Answers

Answer:

  a) interior angle: 156°

  b) exterior angle: 24°

Step-by-step explanation:

b)

The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...

  360°/15 = 24°

__

a)

The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...

  180° -24° = 156°

_____

Additional comment

We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.

Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D

Answers

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is the Triangle Sum Theorem?

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is Angle Sum Property?

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

brainly.com/question/7696843

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