Evaluate 44 + 5 x (4^2 ÷ 8).

Find the area of each parallelogram. What is the relationship between the areas?

castortr0y [4]

Answer:

Area of parallelogram is given by:

$A = bh$

where b is the base and h is the height of parallelogram.

In parallelogram TQRS.

Coordinate of TQRS are;

T(8, 16), Q(4, 4), R(16, 4) and S(20, 16)

Coordinate of T'Q'R'S' are;

T'(2, 4), Q'(1, 1), R'(4, 1) and S'(5, 4)

Find the length of QR and PT:

Using distance(D) formula:

$D = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$QR = \sqrt{(4-16)^2+(4-4)^2} =\sqrt{(-12)^2+0}= \sqrt{144}= 12$ units

Similarly;

For PT:

From the graph:

P(8, 4) and T(8, 16), then

$PT = \sqrt{(8-8)^2+(4-16)^2} =\sqrt{(-0)^2+(-12)^2}= \sqrt{144}= 12$ units

In parallelogram TQRS

PT represents the height and QR represents the base of the parallelogram respectively.

then;

Area of parallelogram TQRS = $QR \cdot PT$

⇒Area of parallelogram TQRS = $12 \cdot 12 = 144$ unit square.

Now, in parallelogram T'Q'R'S'

Q'R' represents the base and P'T' represents the height of the parallelogram respectively.

here, P'(2, 1)

Find the length of Q'R' and P'T':

$Q'R' = \sqrt{(1-4)^2+(1-1)^2} =\sqrt{(-3)^2+0}= \sqrt{9}= 3$ units

$P'T' = \sqrt{(2-2)^2+(1-4)^2} =\sqrt{(-0)^2+(-3)^2}= \sqrt{9}= 3$ units

Then;

Area of parallelogram T'Q'R'S' = $Q'R' \cdot P'T'$

Area of parallelogram T'Q'R'S' = $9 \cdot 9= 81$ unit square.

Now, we have to find the relationship between the areas.

$\frac{\text{Area of parallelogram TQRS}}{\text{Area of parallelogram T'Q'R'S'}} = \frac{144}{81}$

then;

the relationship between the areas of TQRS and T'Q'R'S' is:

$\text{Area of parallelogram TQRS} = \frac{144}{81} \cdot {\text{Area of parallelogram T'Q'R'S'}$

7 0

3 years ago

Help please?<br> Thank youu

melomori [17]

The 3rd choice is the right answer here
Hope this helps :)
Have a wonderful day !

3 0

4 years ago

If a sales person receives a commission of 12% of sales what is the sales person commission on a $250,000 sale

liraira [26]

Answer:

$30,000

Step-by-step explanation:

250000 * 0.12 = 30000

3 0

3 years ago

See the pic below please! AND SHOW WORK!

irinina [24]

Well I don't know !
Let's check out the choices:

A). 3a - 4b = 21, a=0, b=7

   3(0) - 4(7) = 21

   0 - 28 = 21 Nope. That's not true.

B). 3a - 4b = 21, a=-3, b=2

   3(-3) - 4(-2) = 21

   -9 + 8 = 21

   -1 = 21 Nope. That's not right.

C). 3a - 4b = 21, a=-2, b=-3

      3(-2) - 4(-3) = 21

   -6 + 12 = 21

   6 = 21 Nope. That's not it.

Only one choice left.
This one had better be it:

D). 3a - 4b = 21, a=7, b=0

   3(7) - 4(0) = 21

   21 - 0 = 21

   21 = 21 Yay ! That's it !

7 0

3 years ago

Read 2 more answers

Please help meeeeeeeeeeeeeeeeeee

miskamm [114]

Answer:

$\frac{3^{12}}{3^{10}}$