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3 years ago

Last question I need done for my assignment!!! Help would be greatlyyyy appreciated!

Mathematics

1 answer:

sergejj [24]3 years ago

7 0

Answer: $22\ units^2$

Step-by-step explanation:

You need to remember that the area of a rectangle can be found using this formula:

$A=lw$

Where "A" is the area of the rectangle, "l" is the length and "w" is the width.

As you can observe in the picture attached, you can divide the figure into four rectangles (identified as A,B,C and D) whose dimensions are also shown in the picture.

Then, applying the formula, you get that the area of each rectangle is:

$A_A=l_Aw_A=(6\ units)(1\ unit)=6\ units^2\\\\A_B=l_Bw_B=(4\ units)(2\ units)=8\ units^2\\\\A_C=l_Cw_C=(3\ units)(2\ units)=6\ units^2\\\\A_D=l_Dw_D=(2\ units)(1\ unit)=2\ units^2$

Therefore, you need to add the areas of the rectangles calculated before in order to find the area of the figure.

You get that this is:

$A_f=6\ units^2+8\ units^2+6\ units^2+2\ units^2\\\\A_f=22\ units^2$

You might be interested in

1.Quick market 2.stop and save

zhannawk [14.2K]

Answer:

Quick Market

Step-by-step explanation:

Quick Market

$1.17 divide 3 = $0.39 per apple

Stop and Save

$2.25 divide 5 = $0.45 per apple.

Therefore you get more at Quick Market

7 0

3 years ago

Help please 50 points!

uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

$\rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x$

to do so isolate -x to the left hand side and change its sign:

$\rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 }$

simplify addition:

$\rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 }$

square both sides:

$\rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2}$

simplify square of the right hand side:

$\rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1$

use (a-b)²=a²-2ab+b² to expand the left hand side:

$\rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1$

swap the equation:

$\rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25$

isolate the right hand side expression to the left hand side and change every sign:

$\rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0$

simplify:

$\rm\displaystyle {x}^{2} + 11x - 26= 0$

rewrite the middle term as 13x-2x:

$\rm\displaystyle {x}^{2} + 13x - 2x - 26= 0$

factor out x:

$\rm\displaystyle x({x}^{} + 13)- 2x - 26= 0$

factor out -2:

$\rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0$

group:

$\rm\displaystyle (x- 2)(x + 13)= 0$

by Zero product property we obtain:

$\displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}$

solve for x:

$\displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}$

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

$\rm\displaystyle 5 - x \geq0$

solve the inequality for x:

$\rm\displaystyle x \leqslant 5$

since 2 and -13 is less than 5 both solutions are valid for x hence,

$\displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}$

and we're done!

4 0

3 years ago

Read 2 more answers

Given the points (2.1) and (-4,-5) Find the point-slope form of the line.

Inessa05 [86]

Answer: y = x - 1

Step-by-step explanation:

Use the Point-Slope form: y - y₁ = m(x - x₁) where

(x₁ , y₁) is any point on the line
m is the slope of the line

$\text{Slope (m)}=\dfrac{y_2-y_1}{x_2-x_1}$

Let (x₁, y₁) = (2, 1) and (x₂, y₂) = (-4, -5)

$m=\dfrac{-5-1}{-4-2}\quad =\dfrac{-6}{-6}\quad =1$

Point-Slope form: y - 1 = 1(x - 2)

y - 1 = x - 2 distributed 1 to (x - 2)

y = x - 1 added 1 to both sides

7 0

4 years ago

People create models to understand the scale of the Sun in our galaxy, using objects that are familiar to them. One person scale

12345 [234]

Answer:

it Should be .0112

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

An electrician charges $40 per visit, and $20 per hour of work. On a particular day, he made 3 visits and calculated that his av

saw5 [17]

Answer:

4 hours

Step-by-step explanation:

For three visits, the electrician earned $40 × 3 = $120 in "per-visit" charges. For working x hours, he earned 20x in "per-hour" charges. The total of these came to 50x:

120 +20x = 50x

120 = 30x . . . . . . . . subtract 20x

4 = x . . . . . . . . . . . . . divide by 30

The electrician worked 4 hours that day.

3 0

3 years ago