Mathematics, 03.05.2020 13:12 MaeWolfe

A banner is composed of two congruent triangles and a rectangle.

What is the total area of the banner in square centimeters?

A banner is composed of two congruent triangles and a rectangle. What is the total area of the banne

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Answer from: Ezekielcassese

The total area of the banner is 290 square centimeters and this can be determined by using the formula of the area of rectangle and triangle.

Given :

A banner is composed of two congruent triangles and a rectangle.

The following steps can be used in order to determine the total area of the banner in square centimeters:

Step 1 - First determine the area of the two triangles.

$\rm A' = 2\times 2 \times \dfrac{1}{2}\times 5\times 12$

Simplify the above expression.

A' = 120 sqaure centimeter

Step 2 - Now, determine the area of the rectangle.

$\rm A" = 17\times 10$

A" = 170 square centimeter

Step 3 - Now, the total area of the banner in square centimeters is:

A = A' + A"

A = 120 + 170

A = 290 square centimeter

For more information, refer to the link given below:

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Answer from: fireman59937

We have been given that a banner is composed of two congruent triangles and a rectangle. We are asked to find the total area of the banner.

We can see from the diagram that dimensions of rectangle are 10 cm and 17 cm. We know that area of rectangle is length times width.

$\text{Area of rectangle}=10\text{ cm}\times 17\text{ cm}$

$\text{Area of rectangle}=170\text{ cm}^2$

We know that area of triangle is half the product of base length times height.

$\text{Area of triangle}=\frac{1}{2}\times \text{10 cm}\times 12\text{ cm}$

$\text{Area of both triangles}=2\times \frac{1}{2}\times \text{10 cm}\times 12\text{ cm}$

$\text{Area of both triangles}=\text{10 cm}\times 12\text{ cm}$

$\text{Area of both triangles}=120\text{ cm}^2$

$\text{Area of banner}=\text{Area of rectangle}+\text{Area of both triangles}$

$\text{Area of banner}=170\text{ cm}^2+120\text{ cm}^2$

$\text{Area of banner}=290\text{ cm}^2$

Therefore, the area of the banner would be 290 square cm.

Answer from: Quest

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where, $a = \frac{\sum y \sum x^2 - \sum x\sum xy}{n\sum x^2 - (\sum x)^2}$

here given table is,

price ($), x : 18 23 25 29 30 33

pairs sold, y : 16 13 10 8 6 2

so, $\sum x = 158$ , $\sum y = 55$ , $\sum xy = 1315$ ,

$\sum x^2 = 4308$ and $\sum y^2 = 629$ ,

thus, slop of the given line is,

$a = \frac{55\times 4308-158\times 1315}{6\times 4308-(158)^2}$

⇒ $a = \frac{29170}{884}$

⇒ $a =32.9977375566$ ≈ 33

Answer from: Quest

which would be true for stem changing verbs?

they have a consistent spelling change in the stem of the verb.

what is different about the verb “venir” as compared to other stem-changing verbs?

only the third person forms have a stem change.

which of the following could not be considered a “stem-changing” verb?

querer

which of the following would not be condsidered an event?

desfile

what word could be used in response to the following?

¿qué quieres comprar?

quero

what word could be used in response to the following?

¿dónde uds. pueden ir?

vamos

ellos ir al centro comercial.

yo comprar un vestido.

pedimos

dónde tú?

dormes

step-by-step explanation:

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A banner is composed of two congruent triangles and a rectangle.

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