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Elina [12.6K]
2 years ago
11

What is the answer to this question out of the options given

Mathematics
1 answer:
Aleksandr [31]2 years ago
7 0

Answer:

  (c)  (28/3)√6

Step-by-step explanation:

Side ratios of "special triangles" are used to solve this problem.

  30-60-90° triangle — 1 : √3 : 2

  45-45-90° triangle — 1 : 1 : √2

<h3>Application</h3>

We need to apply these ratios a few times:

  CD : CE = √3 : 2   ⇒   CE = (7√3)(2/√3) = 14

  CE : BE = 1 : √2   ⇒   BE = 14(√2) = 14√2

  BE : AE = √3 : 2   ⇒   AE = (14√2)(2/√3) = (28√2)/√3

The fraction can be simplified by multiplying by (√3)/(√3):

  ((28√2)/√3)×(√3)/(√3) = (28√6)/3

  AE = (28/3)√6

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Solve the equation. 8 – 2x = –8x + 14
goldenfox [79]

Answer:

x=1

Step-by-step explanation:

We are asked to solve the given equation: 8-2x=-8x+14.

To solve this equation we will combine like terms by moving all the terms containing x to the left hand side of equation and terms without x to right hand side of equation.

Let us add 8x to both sides of our equation.

8-2x+8x=-8x+8x+14

8-2x+8x=14

8+6x=14

Let us subtract 8 from both sides of our equation.

8-8+6x=14-8

6x=14-8

6x=6

Upon dividing both sides of our equation by 6 we will get,

\frac{6x}{6}=\frac{6}{6}

x=\frac{6}{6}

x=1

Therefore, the value of x equals 1 will satisfy our given equation.

8 0
3 years ago
Read 2 more answers
How would you write this as an expression?
wolverine [178]
In other words this means every number is less than 8

Therefore the answer would be:
8
7 0
3 years ago
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Explain how 3^7 + 2 must be an odd number
Firdavs [7]
It must be an odd number because 3^7 is also shown as:
3x3x3x3x3x3x3

Which equals:2,187

2,187 is an odd number because the last number is a 7 which is odd.
5 0
2 years ago
Pls help me :) thanks ill give u brainliest to the first person to answer
ikadub [295]

Answer:

3. 3 and 4

4. 5 and 6

5. x=-3

Step-by-step explanation:

3. \sqrt{11} is between 3 and 4 because 3 is equal to \sqrt{9} and 4 is equal to \sqrt{16}. Since 11 is in between 9 and 16 this is the answer.

4. Same thing, except since 5 is \sqrt25} and 6 is \sqrt{36}, and 34 is between 25 and 36

5. The equation is -31=4x-19, and we need to isolate x

First, add 19 to both sides

4x=-12

And next divide both sides by 4 to get

x=-3

8 0
3 years ago
4. Adrian and Rory started comic book collections at the same time. Adrian
PilotLPTM [1.2K]

As both are adding same number of comic books each months, they will not have same number of books. Adrian will have 4 more comic books.

Step-by-step explanation:

Given,

Adrian starts with 12 comic books and add 4 each month.

Let,

m be the number of books.

A(m) = 4m+12

Rory starts with 8 comic books and add 4 comic books each month.

R(m) = 4m+8

As both are adding same number of comic books each months, they will not have same number of books. Adrian will have 4 more comic books.

6 0
4 years ago
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