How to write 3.05 in word form

Sedbober [7]

Answer:

The area of the shaded figure is:

20 units^2

Step-by-step explanation:

To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):

Area of a rectangle = long * wide
Area of a rectangle = 6 * 4
Area of a rectangle = 24 units^2

How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

Area of a triangle = $\frac{wide*height}{2}$
Area of a triangle = $\frac{4*2}{2}$
Area of a triangle = $\frac{8}{2}$
Area of a triangle = 4 units^2

In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

Area of the shaded figure = Area of the rectangle - Area of the triangle
Area of the shaded figure = 24 units^2 - 4 units^2
Area of the shaded figure = 20 units^2

I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.

5 0

3 years ago

PLSSS HELP !!!!!!Jessica went to the store to buy a new video game the game cost 60 dollars it was on sale for 35 percent off sh

Ahat [919]

Answer:

$42.12

Step-by-step explanation:

35% off means she has to pay:

100 - 35 = 65% of the marked price.

65/100 × 60 = 39

Tax: 8%

8/100 × 39 = 3.12

To pay:

39 + 3.12 = 42.12

5 0

3 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

6 0

3 years ago

X+4y=4 y in terms of x

Alinara [238K]

Answer:

x + 4y = 4

4y = 4 - x

multiply both sides by 1/4

y = 1/4( 4- x)

y = 1- 1/4x

3 0

3 years ago

Read 2 more answers

At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of D

Zina [86]

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

3 0

3 years ago