The parallelogram shown bellow has an area of 15 units over 2

The Parallelogram Shown Bellow Has An Area Of 15 Units Over 2

Answers

Answer 1

Answer:

The value of h is [tex]\frac{5}{2}[/tex] units

Step-by-step explanation:

In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2The area of parallelogram = b1 × h1 OR b2 × h2

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = [tex]\frac{15}{2}[/tex] units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ [tex]\frac{15}{2}[/tex] = 3 × h

∴ [tex]\frac{15}{2}[/tex] = 3h

→ Divide both sides by 3 to find h

∵  [tex]\frac{15}{2}[/tex] ÷ 3 = 3h ÷ 3

∴ [tex]\frac{15}{6}[/tex] = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

h = [tex]\frac{5}{2}[/tex] units


Related Questions

Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)

Answers

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Answer:

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test

A painter uses 1.2 liters of the paint to cover 1m2 of the wall.

How many square meters he can cover with 6.6 liters of paint?

Answers

12)/1.2=120/12=10m^2

4.8/1.2=48/12=4m^2

6.6/1.2=66/12=11/2=5.5m^2

this is another way you can do it

1. 12/1.2 times as much paint, so 12/1.2 times as much area.

2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.

3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.

help plsss i really need it

Answers

Answer:

can u re-upload the image i cant see it

Step-by-step explanation:

the second one. the base is the large number and the exponent will always be the smaller number

What is the value of x?

Answers

D: The value of x is 8

Answer:

8

Step-by-step explanation:

You have to set up a proportion for this!

Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!

If you solve the proportion for x:

[tex]\frac{x}{40} =\frac{7}{35}[/tex]

x = 8

A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?

Answers

Answer:

3/5=360 mph 11/12=550 4/15=160

Step-by-step explanation:

Please help me with all, I will mark brainliest as long as u tell me how u got those answers

Answers

2 3 6 is a function because they can past through the line and 1 4 5 is not function because they can past through the straight line

Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.

Answers

Answer:

The product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Step-by-step explanation:

Matrix multiplication

To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.

If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).

Matrix A has two rows and three columns (2x3)

Matric C has three rows and two columns (3x2)

If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.

Since both numbers are 2, the product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Complete the following statement:
12 orders in 2 days =
orders per day.???

Answers

Answer:

6 orders per day.

Step-by-step explanation:

12 divided by 2 is 6.

This means that in one day they can pack 6 orders.

Answer:

12 orders in 2 days = 6 orders per day

Step-by-step explanation:

In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.

12÷2=6

Therefore, 6 orders per day.

Solve eight and four eighths minus five and five sixths.

(Giving extra points on this one)

A) two and twelve forty eighths

B) two and thirty forty eighths

C) three and one fourteenth

D) three and twelve fourteenths

(Here is an image if needed) :

Answers

Answer:

B: 2 32/48

Step-by-step explanation:

8 4/8 - 5 5/6

Turn to fractions:

8 4/8 = 68/8

5 5/6 = 35/6

Common denominator: 24

68 x 3 = 204

8 x 3 = 24

35 x 4 = 140

6 x 4 = 24

Set-up:

204/24 - 140/24

Solve:

64/ 24

Simplifying to Mixed Number:

64/24 = 8/3 = 2 2/3 = 2 32/48

Answer:

b

Step-by-step explanation:

PLEASE HELP ASAP!!!!

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

19) slope=2  y-intercept is 1   equation is y=2x+1

20) slope=-4  y-intercept is 4   equation is y=-4x+4

21) slope=-1/3  y-intercept is -5   equation is y=-1/3x-5

22) slope=-2/3  y-intercept is -5   equation is y=-2/3x-5

23) slope=-8  y-intercept is is -4   equation is y=-8x-4

24) slope=5  y-intercept is -3   equation is y=5x-3

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

what is tan 11pie divided by 6?

Answers

Answer:

1/6 tan(11 π) = 0

Alternate representations:

1/6 tan(11 π) = -1/6 cot((21 π)/2)

1/6 tan(11 π) = -1/6 cot((23 π)/2)

1/6 tan(11 π) = 1/(6 cot(11 π))

Step-by-step explanation:

Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.

Answers

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1  

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

40

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

the 200th term of the arithmetic progression 10 97,94,91,.............is​

Answers

Answer:

-500

Step-by-step explanation:

Given sequence;

    97, 94, 91 ......

Unknown;

The 200th term of the sequence;

Solution:

Since we were given an arithmetic progression, we need to first find the common difference;

 Common difference  = second term - first term

                                     = 94 - 97  

                                     = -3

To find the 200th term, we use the expression below;

     Sn  = a + (n-1)d

   a is the first term

    n is the nth term

   d is the common difference

 S₂₀₀ = 97 + (200 - 1 ) x -3 = -500

2.1-?=1 1/2

Please answer this I don’t want to fail

Answers

.6. This is right, brainliest?
2.1-(-3.4)=11/2 . . . . . . .

If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?

Answers

Number one jjnhhhnnbbb=20

what is 5+5 and then divided by 8

Answers

Answer: 1.25

Step by step:

= 10/8

= 1.25

need someone’s help with this please!!!

Answers

Answer:

Option 3

Step-by-step explanation:

Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.

x+5=2x-5

2x-x=5+5

x=10

X=10



HahauajNaguajmanavshananahsus

Look at this coordinate plane



Which equation can be used to find the y-coordinate of point B?




y/1=23


y/2=56


y−1/2=4/6


y−1/2=y−5/4

Answers

Answer:

Hrmm

Step-by-step explanation:

In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.

Answers

This question is incomplete, the complete question is;

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,

find the mean and variance for the number of voters who support the referendum.

Answer:

a) The Mean is 22

b) Variance is 9.9

Step-by-step explanation:

Given that;

55% of the voters support a particular referendum p = 0.55

q = 1 - p = 1 - 0.55 = 0.45

sample size n = 40

a)

Mean = sample size n × p

Mean = 40 × 0.55

Mean = 22

Therefore the Mean is 22

b)

Variance = n × p × q

so we substitute

Variance = 40 × 0.55 × 0.45

Variance = 9.9

Therefore the Variance is 9.9

Convert 40 miles per hour to feet per second.

Answers

Answer:

Step-by-step explanation:

58.6667

Answer:

The answer is 58.6667

Reduce the answer to lowest terms 4/5 divided 16/15

Answers

Answer:

3/4

Step-by-step explanation:

4/5 divided by 16/15 = 4/5 x 15/16

Simplfied = 1 x 3 / 1 x 4

Simplified = 3/4

Thus, our answer is 3/4

This equation was solved incorrectly.
6x – 2(4x – 6) = 16
6x + 8x – 12 = 16
14x – 12 = 16
Step 1:
Step 2:
Step 3:
Step 4:
14x = 28
x=2
Which step contains the first error? Explain the error.

Answers

what was i correct was the 2nd step since when multiplying -2x-6 it would be a positive 12 not a negative :)

you have a bill of $56.40. find a 15% tip?​

Answers

Answer:

$8.46

Step-by-step explanation:

15%=0.15

56.40(0.15)

8.46

The correct answer would be $8.46

Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?

Answers

125 times because 150 divided by 30 is 5 and 5 times 25 is 125

A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets will cost $12 and the volunteer has $75 total to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.

Answers

Answer:

6.3

Step-by-step explanation:

10 blankets with an unidentified price plus 12 for shipping is equal to 75

10x+12=75

minus 12 from both sides

10x=63

divide 10 from both sides

x=6.3

Now, let's prove the answer is true.

10x+12=75

Replace x with 6.3

10(6.3)+12=75

10 times 6.3

63+12=75

75=75

The statement is true.

Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.

Answers

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

(4,5)

(5,6)

(6,7)

(7,8)

(8,9)

(9,10)

(10,11)

(11,12)

A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5, how many burgers did they sell total?

Answers

Answer:

Step-by-step explanation:

We can write an relationship for this as:

3

:

2

24

:

b

Where  

b

is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for  

b

:

3

2

=

24

b

2

3

=

b

24

24

×

2

3

=

24

×

b

24

48

3

=

24

×

b

24

16

=

b

b

=

16

The restaurant would of sold  

16

burgers without cheese with the information provided in the problem.

What is the value of 6a + 2b if a = 1 and b = 2?

Answers

Answer:

3a + 2b ; a=1, b =-2

3

(

1

)

+

2

(

2

)

(substitute the values of the variables)

From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).

3

+

(

4

)

(simplify)

3

4

=

1

So here, what we've proven is that in our given equation, if

a

=

1

and

b

=

2

, then it would yield us a product of

1

.

Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.

Try another:

6

a

2

b

+

8

with a = 1 and b = 3

6

(

1

)

2

(

3

)

+

8

6 - 3 + 8

= 11

Just as a sidenote here, make sure you're aware of the difference between

(

6

x

)

2

and

6

x

2

. The former refers to both the 6 and the

x

being squared, whereas the latter shows only the

x

being squared. Just be careful not to mix the two.

Try one more:

2

c

5

3

b

+

4

with b = 2 and c = 4

2

(

4

)

5

3

(

2

)

+

4

=

8

5

6

+

4

=

3

10

(or 0.3)

Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.

Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.

Step-by-step explanation:

Answer:

The answer is 10

Step-by-step explanation:

6a + 2b

6(1)+2(2)

6+4

=10

Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6

Answers

Answer:

1/2 or C

Step-by-step explanation:

1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over

cube m holds a maximum of 64 unit cubes. each unit cube has an edge length of 1/2 centimeter. what is the length of cube m?

Answers

Answer:

136 or 34

Step-by-step explanation:

not sure if its right because my math is bad

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