Mica stands 75 feet away from the base of a tree and looks up towards the top of the tree at a 51 degree angle.

Answer:

70

Step-by-step explanation:

The median is the value that is directly in the middle of the data set.

Hope this helps :)

The median of the mathematics quiz of the nine students is M = 70

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

To find the median of the scores, we need to first arrange them in order from smallest to largest:

54, 64, 68, 69, 70, 71, 77, 85, 89

Since there are nine scores, the median is the middle score when they are arranged in order.

In this case, the fifth score (70) is the middle score, so the median score is 70.

Hence , the median score for the math quiz is 70

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Answer:

3x-3

Step-by-step explanation:

You have to combine like terms. x and 2x have the same variable, so this equals 3x, and then you subtract 3 so:

x-3=2x-3-x

    =3x-3

Answer:

no

Step-by-step explanation:

[3(a-2) / (a+2)(a-2)] - [6a / (a+2)(a-2)] = -3/(a-2)

Question:

What is the surface area of the triangular prism?

Answer:

Step-by-step explanation:

8 x 6 x 2.5 is equal to the surface area

120

Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:

Step-by-step explanation:

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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Given:

The inequality is:

[tex]y>5x+3[/tex]

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y>5x+3[/tex]

The relation equation is:

[tex]y=5x+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

[tex]b=3[/tex]

It means the slope is 5 and the y-intercept is 3.

The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.

Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.

Answer:

The time of fall is 9 seconds

Step-by-step explanation:

We are asked to find the time between when the penny was dropped and when it landed.

To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.

From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by

[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1

in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax

Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0

We can now differentiate equation 1 above to get

h max  = 16t - 0 ------------- equation 2

recall that h max = 144

plugging the value of h max into equation 2, we have

144 = 16t

t = 9 seconds

Therefore the time of fall is 9 seconds

Answer:

t= 3 seconds

Step-by-step explanation:

I took the quiz and this is the answer

Answer: 10.1

Step-by-step explanation:

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

In which  is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,  

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when  

Then

Rounding up

The minimum sample size to achieve this is 246.

The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

From the question, we are to determine the volume of the box

The volume of a box is given by the formula,

V = l × w × h

Where V is the volume

l is the length

w is the width

h is the height or depth

From the given information,

l = 3/4 inch

w = 1/2 inch

h = 1/4 inch

Thus,

Volume of the box = 3/4 × 1/2 × 1/4

Volume of the box = 3/32 inch³

Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

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Answer:

114

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]

Answer:

51

Step-by-step explanation:

The two tangent lines can be set equal to each other

10x - 19 = 4x + 23

Solve for x

10x - 19 = 4x + 23

-4x         -4x

6x - 19 = 23

    +19    +19

6x = 42

6       6

x = 7

Plug in x and solve for FE

10x - 19 = 10(7)-19 = 51

Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7  hope it helps

Step-by-step explanation:

Answer:

1) G

2) B

3) I

4) H

Step-by-step explanation:

Perimeter of a triangle formula:

P = a + b + c

1)

P = x + 6 + 3x + 2 + 2x + 4

P = 6x + 12

2)

P = 6x + 4 + 7x + 1 + 5x + 7

P = 18x + 12

3)

P = 4x - 3 + 3x + 5x - 6

P = 12x - 9

4)

P = 6x - 8 + 3x + 7 + 5x - 3

P = 14x - 4

Answer:

its 56 units square.

Step-by-step explanation:

(count the tiles in the shaded figure, you'll get the area)

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

Answer:

you have to create an account which should be pretty easy to find and just use your personal email!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

You are signed in right now????

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

Answer:

240

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

-y = 2, that means y = opposite of 2, which is -2

Hope that helps! :)

Answer:

-3 85-88 lets turn that around 88-85 is 3 but the problem is 85-88 so its -3

Step-by-step explanation:

Answer:-3 (88-85=3

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

it is five away from  90° so 95°

Give Brainllest plz

Answer:

2nd option

;)

I did this before-

Step-by-step explanation:

Answer:

the percentage of the farms were in SOuth caroline is 1.10%

Step-by-step explanation:

The computation of the percentage of the farms were in SOuth caroline is shown below:

= NUmber of farms in south carolina ÷ number of farms in united states

= 24000 ÷ 2172000

= 1.10%

Hence, the percentage of the farms were in SOuth caroline is 1.10%

We simply used the above formula so that the percentage could come