All categories

3 years ago

Determine the area of a parallelogram if its base is 16 cm and its height is 7 cm.

Mathematics

1 answer:

ella [17]3 years ago

3 0

<h3>Answer: 112 square cm</h3>

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

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

----------------

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

You might be interested in

Factorise 6x²-14x-12

maksim [4K]

Answer:

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

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

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

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

8 0

3 years ago

Help me please!!!!!!

Talja [164]

It is not orthographic

3 0

3 years ago

Read 2 more answers

Jailyn has ½ of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will

N76 [4]

Answer:

Jailyn and her 3 friends will each receive 1/8 of the original pizza.

Step-by-step explanation:

Given that Jailyn has ½ of a pizza left over and she is sharing that with 3 friends, it means that the left over will be divided in 4 pieces and you have to divide 1/2 by 4 to find the fraction of the original pizza that Jailyn and her 3 friends will each receive:

$\frac{1}{2}$ ÷4= $\frac{1}{2}$ ÷ $\frac{4}{1}$ = $\frac{1*1}{2*4}$ = $\frac{1}{8}$

According to this, the answer is that Jailyn and her 3 friends will each receive 1/8 of the original pizza.

8 0

2 years ago

Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bag

damaskus [11]

Answer:

The cost of 1 popcorn is $5.75

The cost of 1 drink is $2.25

Step-by-step explanation:

Hi there!

First, let´s write the system of equations:

2p + 3d = 18.25

4p + 2d = 27.50

Now, let´s take the first equation (for example, it can be any equation) and solve it for "p":

2p + 3d = 18.25

Subtract 3d to both sides of the equation:

2p = 18.25 - 3d

divide both sides of the equation by 2:

p = (18.25 - 3d)/2

Now let´s replace p = (18.25 - 3d)/2 in the second equation and solve it for d:

4p + 2d = 27.50

4(18.25 - 3d)/2 + 2d = 27.50

2(18.25 - 3d) + 2d = 27.50

Apply distributive property:

36.5 - 6d + 2d = 27.50

subtract 36.5 to both sides of the equation:

-4d = 27.50 - 36.50

-4d = -9

divide both sides of the equation by -4:

d = -9/-4 = 2.25

The cost of 1 drink is $2.25

To calculate the price of popcorn, let´s use the equation we obtained above isolating "p":

p = (18.25 - 3d)/2

p = (18.25 - 3(2.25))/2

p = 5.75

The cost of 1 popcorn is $5.75

4 0

3 years ago

(a) Use differentiation to find a power series representation for

choli [55]

Answer:1/(3+x)=(1/3)

(1−(−x/3))

1/(3+x)=(1/3)1(1−(−x/3))

Use this fact that

1/(1−t)=

∑

∞

(∗)

1/(1−t)=∑0∞tn (∗)

where

|t|<1

. I mean take

t=−x/3

and...

Note that

|−t|=|t|<1

is the radius of convergence

Step-by-step explanation:

8 0

3 years ago