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2 years ago

What is the value of x? Leave your answer in simplest radical form.

Mathematics

2 answers:

ad-work [718]2 years ago

7 0

Answer:

sqrt 52

Step-by-step explanation:

use the pythagorean thereom

side a - 4

side b - 6

to find the hypotenuse, simply square both sides.

4² + 6²

4 x 4 = 16

6 x 6 = 36

add these two together

you should get 52.

After finding the combined side length, find the inverse operation of squared.

The inverse operation is the square root.

So find the square root of 52.

√52 = 7.21110255

round to the nearest tenth.

the answer should be 7.2

But to keep it in radical form the answer is sqrt 52

Oliga [24]2 years ago

3 0

<h3><u>Answer:</u></h3>

The value of x is 2√13.

<h3><u>Step-by-step explanation:</u></h3>

With the help of Pythagoras theorem, we will find the value of x.

=> x² = 6² + 4²
=> x² = 36 + 16
=> x² = 52
=> √x² = √52
=> x = √52
=> x = √2 x 26
=> x = √2 x 2 x 13
=> x = 2√13

<h3><u>Conclusion:</u></h3>

Therefore, the value of x is 2√13.

Hoped this helped.

$BrainiacUser1357$

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Bas_tet [7]

Answer:b

Step-by-step explanation

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2 years ago

At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl

Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

$n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.$

Let 'p' represents the number of students who take all the three languages, then

$n(A\cap B\cap C)=p.$

Also,

$n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).$

From here, we get after subtracting equation(c) from (b) that

$n(A\cap B)=n(A\cap C)=14.$

Therefore,

$p=14+14-24=4,$ and from equation (a), we find

$n(B\cap C)=24-14=10.$

Thus,

$n(A\cap B\cap C)=4$ and

$n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.$

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0

2 years ago

Katherine is younger than Alexandra. Their ages are consecutive integers.

Serjik [45]

Using equations to solve the word problem, Katherine's age is 8 years

<h3>Word Problem</h3>

Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.

To solve this problem, we have to represent the problem using mathematical equations;

Let;

Katherine's age = x²

Alexandra = 5(x + 1)

Sum of their age = 109

5(x + 1) + x² = 109

5x + 5 + x² = 109

x² + 5x - 104 = 0

Solving for the equation; x = 8

Katherine's age is 8

Learn more on word problem here;

brainly.com/question/13818690

#SPJ1

7 0

11 months ago

What is the solution to the following question

Anastaziya [24]

Answer:

Step-by-step explanation:

2(x + 1) = 3(5 - x) + 2

Distribute,

2(x + 1) = 3(5 - x) + 2

2x + 2 = 3(5 - x) + 2

Rearrange terms,

2x + 2 = 3(5 - x) + 2

2x + 2 = 3(-x + 5) + 2

Distribute,

2x + 2 = 3(-x + 5) + 2

2x + 2 = -3x + 15 + 2

Add the numbers,

2x + 2 = -3x + 15 + 2

2x + 2 = -3x + 17

Subtract 2 from both sides,

2x + 2 = -3x + 17

2x + 2 - 2 = -3x + 17 - 2

2x = -3x + 17 - 2

2x = -3x + 15

Add 3x to both sides,

2x = -3x + 15

2x + 3x = -3x + 3x + 15

5x = -3x + 3x + 15

5x = 15

Divide both sides by the same factor (15),

5x = 15

5x/5 = 15/5

x = 15/5

x = 3

Hence, the answer is 3.

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2 years ago

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Answer:

C is correct

Step-by-step explanation:

y = cos(0.4x)

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2 years ago