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natka813 [3]
3 years ago
15

What are the areas of each smaller rectangle and the large rectangle?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

Area of part 1: 3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2: 3\sqrt{2} * 5\sqrt{2}=30

Area of entire rectangle: 30 + 15\sqrt{2}

Step-by-step explanation:

The area of a rectangle can be found by using formula : length * width.

The area of part 1 can be simplified to this:

3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2:

3\sqrt{2} * 5\sqrt{2}=30

The area of the entire rectangle can simply be added from part 1 and part 2.

For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.

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Y is directly proportional to x,<br> and y = 45 when x = $600...<br> Find y if x = $1000.
Paul [167]

Answer:

The Answer is: 75.

Step-by-step explanation:

Set up the equation:

45 / 600 = y / 1000

600y = 45 * 1000

600y = 45000

y = 45,000 / 600 = 75.

5 0
3 years ago
Kaya found 25 shells on the beach yesterday today she found 25 more shells she sorted all the shells into 5 piles
Gnom [1K]

Answer:

25 + 25=50 Divided by 5 =10

Step-by-step explanation:

25 + 25

=50

50 DIVIDED BY 5

=10

3 0
2 years ago
Express 2log 4 + 3log 2 as a single logarithm
jeka94

Answer:

Step-by-step explanation:

WHEN ADDING TWO LOGS TO COMPRESS THEM YOU MULTIPLY THE TERMS

LOG(4^2)(2^3)

LOG(16)(8)

LOG(128)

3 0
3 years ago
What is the solution of |x- 5|-2=10?
Lelu [443]

Answer:

x=17, x=-7

Step-by-step explanation:

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-5|-2 = 10  

Another term is moved / added to the right hand side.

     |x-5| = 12  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)  

For the Positive case we'll use (x-5)  

Step  3  :

Solve the Negative Case

     -(x-5) = 12  

    Multiply

     -x+5 = 12  

    Rearrange and Add up

     -x = 7  

    Multiply both sides by (-1)

     x = -7  

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (x-5) = 12  

    Rearrange and Add up

     x = 17  

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

x=-7

x=17

8 0
3 years ago
Read 2 more answers
Use function notation to write the equation of the line.<br><br> please help
umka21 [38]

Therefore the equation of the line in function-form is f(x)=-2x-1

An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.

Slope of a line is defined as the inclination of the line along the positive   x- axis . Slope is calculated by the formula m=\frac{y_2-y_1}{x_2-x_1}. where (x_1,y_1) and (x_2,y_2) are two points on the line.

y-intercept is defined as the point where the line passes through the y-axis.

From the graph we can see that the line passes through (0,-1)and (-1,1)

therefore slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2

Now we know that the equation of a line passing through a point (x_1,y_1) and with slope m is given by

y-y_1=m(x-x_1)\\

Substituting the values in the equation we get

y-(-1)=-2(x-0)

or, y=-1-2x

Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.

To learn more about the equation of the line visit:

brainly.com/question/21511618

#SPJ9

8 0
1 year ago
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