Write ( 5×1)+(1×0.1)+(4×0.01) in base ten numerals

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

A triangle has vertices at L(2, 2), M(4,4), and N(1,6).

mr Goodwill [35]

Answer:

The rule for the transformation is (x, y) (-x, -y).

The coordinates of L'are (-2,-2).

The coordinates of N'are (-1,-6).

Step-by-step explanation:

Given

$L = (2,2)$

$M = (4,4)$

$N = (1,6)$

$Ro=180$

Required

Select three options

The rule to this is:

$(x,y) \to (-x,-y)$

So, we have:

$L = (2,2)$

$L' =(-2,-2)$

$M = (4,4)$

$M =(-4,-4)$

$N = (1,6)$

$N' = (-1,-6)$

7 0

3 years ago

Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per wee

Vinvika [58]

900x is greater than or equal to 550x+6500. In this equation, I used x to represent the number of weeks, 900x to represent her profits, and 550x+6500 to represent her costs. Then, since 19 is the lowest integer that we can plug into the equation to keep the inequality true, it is our answer, 19 weeks.

7 0

4 years ago

Read 2 more answers

Help ASAP please please please

Andre45 [30]

Answer:

3 is between 1 and 2 so A. will be the correct answer

1 x 1 = 1

2 x 2 = 4

Hope this helps

Step-by-step explanation:

4 0