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1 year ago

Find x A. 212√2 B. 212–√ C. 213√2 D. 7

Mathematics

1 answer:

victus00 [196]1 year ago

7 0

The value of x in the triangle is (d) 7

<h3>How to solve for x?</h3>

The complete question is in the attached image.

From the attached image of the triangle, we can see that the triangle is a right triangle, and x can be solved using the following sine function

$\sin(45) = \frac{x}{7\sqrt 2}$

Evaluate sin(45)

$\frac 1{\sqrt 2} = \frac{x}{7\sqrt 2}$

Solve for x

$x = \frac{7\sqrt 2}{\sqrt 2}$

Divide

x = 7

Hence, the value of x in the triangle is (d) 7

Read more about special triangles at:

brainly.com/question/654982

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Suppose these show number of hours each student in a class slept last night:

Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

⇒ Given:

-------------------------------------------------------------------------------------------------------------

Suppose these show number of hours each student in a class slept last night:

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

What is the mean of these numbers (rounded to the nearest tenth)?

What is the median?

Mean: 6.9 hours; Median 7 hours

Mean: 6.9 hours; Median 7.5 hours

Mean: 7 hours; Median 6.9 hours

Mean: 7.2 hours; Median 7 hours

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⇒ Solution~:

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Let's first define "Median".

You may be wondering "What is median/What is mean?".

When it asking for "Mean" It asking for the average.

When it asking for "Median" It asking for the middle number.

The formula for "Mean" is : M = sum of the terms/number of terms

According to the given we have;

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

Let's first find the "Mean":

First, add all the number together.

8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

34 + 9 + 6 + 5 + 10 + 7 + 6 + 6

43+ 6 + 5 + 10 + 7 + 6 + 6

49+ 5 + 10 + 7 + 6 + 6

54+ 10 + 7 + 6 + 6

64 + 7 + 6 + 6

71+ 6 + 6

77 + 6

= 83

Now let's count how many numbers of hours each student in a class slept.

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12

Now 83 divide by 12:

83/12 = 6.9166666666667 {Round}

6.9166666666667 = 6.9

Therefore, Mean = 6.9

-------------------------------------------------------------------------------------------------------------

Next, Let's find the "Median":

To find the Median, place the numbers in value order and find the middle.

⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now we have them in order:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Then, we find the middle number:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now You see that there two's 7 left.

If there is an even number of numbers add the two middles and divide by 2

Thus,

7 + 7 = 14

14/2 = 7

Therefore, Median = 7.

-------------------------------------------------------------------------------------------------------------

According to the solving above we can conclude that:

Mean: 6.9 hours; Median 7 hours

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xcookiex12

9/4/2022

#Learnwithxcookiex12

4 0

1 year ago

Read 2 more answers

Help asap please will give brainliest

BlackZzzverrR [31]

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

ƒ(x) = x + 2/(2x²)

The function is undefined when x = 0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

4 0

3 years ago

You burn 265 calories running and then 7 calories per minute swimming. Your friend burns 273 calories running and then 11 calori

mario62 [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the axis of symmetry for f(x) = 2x2 − 8x 8? x = −2 x = −3 x = 3 x = 2

Tatiana [17]

The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. 

In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 

The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 

Go back and solve for y to find the y-coordinate of the vertex. 

y = - 2(2)² + 8(2) - 5 

y = - 2(4) + 16 - 5 

y = - 8 + 16 - 5 

y = 3 

Vertex is (2, 3)

7 0

2 years ago

Read 2 more answers

The conditional relative frequency table was generated using data that compares the number of voters in the last election and wh

lidiya [134]

Using proportions, it is found that 66 people in the survey worked on election day.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, the amounts of people who worked are:

64% of 50(voted).

40% of 85(did not vote).

Hence the total amount is given by:

0.64 x 50 + 0.4 x 85 = 66.

66 people in the survey worked on election day.

More can be learned about proportions at brainly.com/question/24372153

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6 0

1 year ago