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nignag [31]
3 years ago
15

The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this sc

reen in feet?
Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:

Length of diagonal = 10 feet

Step-by-step explanation:

Length of a rectangular screen = 6 feet

Width of the rectangular screen = 8 feet

Since, all interior angles of a rectangle are 90°,

Triangle formed with two adjacent sides and the diagonal will be a right triangle.

By applying Pythagoras theorem,

Hypotenuse² = (leg 1)² + (leg 2)²

(Diagonal)² = (leg 1)² + (leg 2)²

Diagonal = \sqrt{6^2+8^2}

               = \sqrt{100}

               = 10 feet

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What is 1102 using the polynomial identity (a+b)2=a2+2ab+b2 ?
Virty [35]

Answer:

"Let the smaller value a = <u>10</u> and the larger value b = <u>100</u>. Than a^2 + 2ab + b^2 is <u>10^2 + 2 * 10 * 100 + 100^2</u>. This can be simplified to <u>12100</u>. So, 110^2 is equal to <u>12100</u>."

Hope this helped!

7 0
2 years ago
Read 2 more answers
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
Hihi , please help if able.
earnstyle [38]

Answer:

27

Step-by-step explanation:

3².2³/2² + 3².2²/2² = 27

7 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP I WILL GIVE BRAINIEST! SOS!<br> What's 1+1<br> please help
alexandr402 [8]

Answer:

The answer is 2.

Step-by-step explanation:

If I have done my math correctly, and I think I have, 1+1 should equal 2. Hope this helps ;)

8 0
3 years ago
Read 2 more answers
i need help. Semir, Sarah, and SungSo decided to raise money for a local homeless shelter by working in a local deli. The deli a
IgorLugansk [536]
According to the question, 
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,

y = 2n - 5  ........................this is your equation 
Also,
the question states, each of them collect $18 in pledges for every miles walked.

Given,
Sarah collected $450
Now, 

Using unitary method,

Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
                                   = 25 miles
So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n

Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.


7 0
3 years ago
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