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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

2 answers:

Fofino [41]3 years ago

4 0

The value of X=12 that's your answer

-BARSIC- [3]3 years ago

3 0

The value of x is 12. The angles are supplementary and add up to equal 180. Solve for x and you'll get 12. Hope this helps!

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In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.

elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

$\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324$

5 0

3 years ago

A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tre

Katarina [22]

Answer:

the height of the tree to the nearest tenth of a meter is 13.8 meters

Step-by-step explanation:

The computation of the height of the tree is shown below:

Given that

Distance from the tree is 10 meters

And, the angle of elevation of the tree is 54 degrees

Now here we used the trigonometry

$tan \theta = \frac{Height}{distance} \\\\tan 54^{\circ} = \frac{height}{10}$

So, the height is

= 10 × 1.38

= 13.8 meters

hence, the height of the tree to the nearest tenth of a meter is 13.8 meters

4 0

3 years ago

Please help if you can :)

romanna [79]

a 32 sided polygon I believe

8 0

3 years ago

Read 2 more answers

For the given line segment, write the equation of the perpendicular bisector.

natta225 [31]

Answer:

$y=-0.8x-4.7$

Step-by-step explanation:

Let

$A(-6,-4), B(-2,1)$

we know that

The perpendicular bisector pass through the midpoint of AB

step 1

Find the midpoint AB

$M=((-6-2)/2,(-4+1)/2)$

$M=(-4,-1.5)$

step 2

Find the slope of the given line AB

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{1+4}{-2+6}$

$m=\frac{5}{4}$

step 3

Find the slope of the perpendicular bisector

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

$m1*m2=-1$

we have

$m1=\frac{5}{4}$ ----> slope of the given line

substitute in the formula

$\frac{5}{4}*m2=-1$

$m2=-\frac{4}{5}=-0.8$

step 4

Find the equation of the perpendicular bisector

we know that

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-0.8$

$M=(-4,-1.5)$

substitute

$y+1.5=-0.8(x+4)$

$y=-0.8x-3.2-1.5$

$y=-0.8x-4.7$

3 0

3 years ago

PLEAS HELP FAST !!<br><br> solve the equation below. please include the steps. <br><br> x^2+8x+15=0

Nataliya [291]

(x + 5)(x + 3)
x+5=0, solve it and you get -5.
x+3=0, solve it and you get -3.

The answers are -5 and -3.

4 0

3 years ago

Read 2 more answers