The sum of the interior angles of any triangle is equal to:

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

0.6x-0.1=0.5x+2 The solution set is {_} PLEASE PLEASE PLEASE EXPLAIN HOW

timurjin [86]

Answer:

21

Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2 Equation

Step 2:

0.1x - 0.1 = 2 Subtract 0.5x on both sides

Step 3:

0.1x = 2.1 Add 0.1 on both sides

Step 4:

x = 2.1 ÷ 0.1 Divide

Ansewr:

x = 21

Hope This Helps :)

3 0

3 years ago

WHats 100000000000000 x 1000000000000000000000

ser-zykov [4K]

Answer:

1e+35

Step-by-step explanation:

7 0

3 years ago

Hello help with question please :)

k0ka [10]

Answer:

A

Step-by-step explanation:

slope is (y2-y1)/(x2-x1)

anyhow that comes out to -3/2

the only place that actually applies is in A

6 0

2 years ago

Read 2 more answers

A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are

ella [17]

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

Square the three sides
Add the squares of the smaller two sides
If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

have three partitions the sum of the squares of the two smaller

partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

#LearnwithBrainly

3 0

3 years ago