Find the area of the composite shape shown below

fgiga [73]

Answer: not 100 percent sure but i think x=37 z=110 y=33

Step-by-step explanation:

8 0

3 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

Solution: 

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

Use the point P(3, —6). Write the ordered pair for the final location of the given point after completing the transformations in

sashaice [31]

Answer:Go on a graph calolator

Step-by-step explanation:

calul

5 0

3 years ago

How do I subtract decimals from whole numbers?

Gekata [30.6K]

Answer:

Just use long subtraction by expanding the decimal places of the whole number. This is done by adding a point, and enough zeros to it to match the number of decimal digits in the other number (digits after the decimal point).

12345678

i.e: 5 - 2.48374827, 2.48374827 has 8 decimal digits, so add 8 zeros after the point.

=

1 1 1 1 1 1 1

5.00000000

-

2.48374827

_______________

2.51625173

7 + 3 = 10, 7 + 2 + 1 = 10, 8 + 1 + 1= 10, 5 + 4 + 1 = 10, 2 + 7 + 1 = 10, 3 + 6 + 1 = 10, 1 + 8 + 1 = 10, 5 + 4 + 1 = 10, 2 + 2 + 1 = 5 : 5.00000000

This is basically borrowing a group of 10s which are the same as 1s in the next decimal place up.

For each digit except the first to the right, let 10 subtract that number from it and minus 1 since the 1 is carried over.

7 0

3 years ago

01: Which gives the correct order of steps needed to multiply the problem below? 83 X 39 O Multiply the ones. 8 times 39 is 312.

Burka [1]

Answer:

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

The rest of the question:

Which gives the correct order of steps needed to multiply the problem below? "83x39 "

The steps to multiply 83x39

1) multiply the ones 9 times 83 = 9 times 3 + 9 times 80 = 27 + 720 = 747

2) multiply the tens 30 times 83 = 30 times 3 + 30 times 80 = 90 + 2400 = 2490

3) add 747 and 2490 = 747 + 2490 = 3,237

According to the previous steps, the answer is option 3

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

6 0

3 years ago

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