9. A person stands at the window of a building so that his eyes are 12.6 m above the level ground. An

object is on the ground 58.5 m away from the building on a line directly beneath the person. Compute

the angle of depression of the person's line of sight to the object on the ground.

Answer: A, (y-1)^2/49-x^2/81=1

The given equations are both hyperbola equations with the center shifted to (0,1). They represent different graphs due to differences in their denominators. Hyperbola equations result in a graph of two separate curves, each one a mirror image of the other.

The equations (y-1)^2/49-x^2/81=1 and (y-1)^2/7-x^2/9=1 are both in the form of the hyperbola equation. This type of equation represents a graph that consists of two separate curves, each one a mirror image of the other, positioned about a central point called the center of the hyperbola. In these particular equations, the center of the hyperbola is shifted from the origin to the point (0,1).

Hyperbola equations are generally in the form (x-h)^2/a^2 - (y-k)^2/b^2 = 1 or (y-k)^2/a^2 - (x-h)^2/b^2 = 1

However, even though these equations are in the form of hyperbolas, they do not represent identical graphs. In the first equation, the y term is divided by 49 and the x term by 81, whereas in the second, these denominators are 7 and 9. These denominator values affect the shape and orientation of the hyperbolae, leading to different graphical representations for each equation.

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Answer:

50

Step-by-step explanation:

The inside of a triangle equals 180 and so you subtract the other two values(100 and 30) to 180 and you get 50.

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle add to 180

A+B+C = 180

A + 100+ 30 = 180

A + 130= 180

Subtract 130 from each side

A+130-130= 180-130

A = 50

Answer:

Top right

Step-by-step explanation:

The one on the top right has the greatest amount of dots on the line.

hope this helps :)

By looking at the given graphs, we conclude that the set of data with the strongest linear association is the one in the top right.

Linear association is a measure of "how much" a set of data behaves like a line.

So, we just need to see which of the given sets of data behaves more like a line (we can compare with the shown lines).

As you can see, in the only set where almost all the points lie in the graphed line is in the top right graph. In the other 3, we can see points outside of the line.

So the set of data with the strongest linear association is the one in the top right graph.

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Answer:

Semicircle radius is 4.5

Radius x radius x 3.14 = area of circle but you divide by 2

4.5 x 4.5 = 20.25 x 3.14 = 63.585/2=31.7925 for semicircle

To find the line for the triangle subtract 16 from the other side which is 8 so the triangle is 8 by 3.

8 x 3 = 24/2=12 for triangle

6 + 3 = 9 the missing side.

9 x 8 = 72 so the rectangle is 72

72 + 12 = 84 + 31.7925 = 115.7925 so that is the area

Circumference is the perimeter for the circle. 9 x 3.14 = 28.26

Perimeter of triangle is 19.544

8 + 9 = 17 x 2 = 34

28.26 + 34 = 62.26 + 19.544 = 81.804

Area is 115.7925 and perimeter is 81.804

Step-by-step explanation:

Answer:

45 bags of candy

Step-by-step explanation:

The first thing is to calculate the money Jordan has, we know that by multiplying the number of bags by their price, that is:

30*12 = 360

I mean, he's got $360, now with this money he wants to buy $8 bags, so it would be

360/8 = 45

That means I could buy 45 bags of candy if they cost $8

Jordan can purchase 20 bags of candy for $8.

Jordan purchased 30 bags of candy for $12. At that rate, to find out how many bags of candy he can purchase for $8, we first calculate the cost per bag of candy by dividing the total cost by the number of bags purchased. This gives us a rate of $0.40 per bag of candy ($12/30 = $0.40). To determine how many bags of candy Jordan can purchase for $8, we then divide $8 by the cost per bag, which is $0.40.

Calculating, $8/$0.40 = 20 bags of candy. Thus, for $8, Jordan can purchase 20 bags of candy at the same rate.

Look at the attached picture ⤴

Hope it will help u...

Answer: 13

Step-by-step explanation: To get the mean we have to add all the numbers and then divide it by 7 because there are 7 numbers.

6+14+8+15+16+13+19=91

91 divided by 7 = 13

I hope this helps!

The mean deviation for the data (17, 15, 16, 20, 15, 19) is calculated by finding the mean, determining the absolute differences from the mean for each value, summing those differences, and then dividing by the number of values, resulting in a mean deviation of 1.67.

The mean deviation is a measure of the average distance between each data value and the mean of the data set. To calculate the mean deviation of the given data (17, 15, 16, 20, 15, 19), first we find the mean of these values.

The calculated mean deviation for the provided data is 1.67.

Answer:

Step-by-step explanation:

Given:

The volume of a cylinder is 30π cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

H=2h

Volume of the cylinder:

The formula to determine the volume of the cylinder is

V=πr^2h

Since, volume of the cylinder is 30π , we get;

30π=πr^2-------(1)

Volume of the cone:

The formula to determine the volume of the cone is

v=1/3πr^2H

Substituting H=2h , we get;

v=1/3πr^2(2h)

v=1/3πr^2h

Substituting equation (1), we get;

V=2/3(30π)

v=20π

Thus, the volume of the cone is 20π

Answer:

The answer is 20pi

Step-by-step explanation:

Answer:

what am I suppose to solve the difference of minutes is 13

Answer:

The answer should be D if you're on edge

Step-by-step explanation:

Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles are congruent.

Triangle L'M'N' is larger than LMN. Hence:

Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'

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Answer:

3

Step-by-step explanation:

49 divided by (5+2) - 2 x (1+1)

49 divided by 7 - 2 x 2

7-4

3

Answer:

That makes no sense because there is no A and those measurements are not clear.

Step-by-step explanation:

Answer:

C (x,-y)

Step-by-step explanation:

Answer:

x,-y

Step-by-step explanation:

It cannot transform across x axis unless it goes down to negative y.

In a graph we have 4 areas to fit a description of reflect accross an axis.

As this was x axis it can only be reflection negative y or reverse.

We cannot reverse this as the object has the positive y side of x

The image is the reflection or the transformation, and so this image is now negative y.

x-y= x object | y image = positive x = negative y.

Answer:

About 5.73 cm

Step-by-step explanation:

C=2πr so

36=2πr (divide by 2)

18=πr (using 3.14 as π)

18=(3.14)r (divide by 3.14)

r=5.732484076 so

R≈5.73 cm

Final answer:

The radius of a circle with a circumference of 36cm is approximately 5.73cm, calculated by dividing the circumference by the product of 2 and Pi (
).

Explanation:

Calculating the Radius from the Circumference

The circumference of a circle is closely related to its radius through the mathematical constant  which is approximately 3.14159. The circumference (C) can be expressed using the formula C = 2
r, where r is the radius. Given that the circumference is 36cm, we can rearrange the formula to solve for the radius: r = C / (2
r). Substituting the given circumference into the equation, we get:

r = 36cm / (2
3.14159)

By performing the division, we can find the radius of the circle:

r = 36cm / (2 * 3.14159)
r = 36cm / 6.28318
r ≈ 5.73cm

Therefore, the radius of the circle is approximately 5.73cm.

The measure of Arc DE is 39 degree.

The opposing angles formed when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.

Given:

From figure:

m<APB + m<APE = 180 (Linear pair)

4w+ 8 + 4w + 4= 180

8w + 12= 180

8w = 168

w = 21

Also, <APB = <PED + <DPC (Vertical opposite angle)

4w+ 8 = <PED + 2w+ 11

92 = <PED + 53

<PED = 39

So, the measure of Arc DE is 39 degree.

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Answer:

The area of the real tile is 20 cm².

Step-by-step explanation:

Plot the points provided on a graph using grid line representing 5 cm each as follows.

The diagram below shows that the model of the tile is in the shape of a kite.

The area of a kite is:

[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]

Here, p and q are the two diagonals.

The measure of diagonals p and q are:

p = 10 cm

q = 4 cm

Compute the area of the kite as follows:

[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]

                       [tex]=\frac{10\times 4}{2}\\\\=10\times 2\\\\=20[/tex]

Thus, the area of the real tile is 20 cm².

Laisha's tile, represented by a rhombus with coordinates (3, 4), (5, 10), (7, 4), (5, 0) on a grid where each line is 5 cm, has a real area of 250 square centimeters, calculated using the formula for the area of a rhombus.

The student is asking about calculating the area of a geometric shape based on its coordinates on a grid. To find the real area of Laisha's tile, we need to determine the shape represented by the given coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Noting that each grid line represents 5 cm, it appears that the shape is a diamond or a rhombus, and we can calculate the area by finding the product of the lengths of the diagonals (the distance between (3, 4) and (7, 4) and the distance between (5, 10) and (5, 0)) divided by two.

The length of one diagonal is simply the distance between (3, 4) and (7, 4), which is 4 grid units, or 4 x 5 cm = 20 cm. The length of the other diagonal is the distance between (5, 10) and (5, 0), which is 10 grid units, or 10 x 5 cm = 50 cm. The formula for the area of a rhombus is (d1 x d2) / 2, where d1 and d2 are the lengths of the diagonals. Plugging in our values, we get (20 cm x 50 cm) / 2 = 500 [tex]cm^2[/tex] / 2 = 250 [tex]cm^2[/tex].

The real area of the tile is thus 250 square centimeters.

Answer:

d= 28%

Step-by-step explanation:

Answer:

360 x 1/10 = 360/10 simplify is 36

36 degrees is 1/10

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

Answer:

3. C

Step-by-step explanation:

X before Y

Answer:

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,

   P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have, 

  P(x) = x(S(x)) - C(x)

Substituting,

  P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,

  P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,

  P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2. 

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Step-by-step explanation:

Final answer:

To find the total cost function C(x), you combine the manufacturing cost function f(x) = 1000 - 0.01x² and the service cost function g(x) = 150 - 0.001x², resulting in C(x) = 1150 - 0.011x².

Explanation:

To create a function C(x) for the total manufacturing and service cost per item, you will simply add the manufacturing cost function f(x) and the service cost function g(x) together. The provided functions are f(x) = 1000 - 0.01x² for the manufacturing cost per item and g(x) = 150 - 0.001x² for the service cost per item.

When you add these two functions, you get:

C(x) = f(x) + g(x)
= (1000 - 0.01x²) + (150 - 0.001x²)
= 1150 - 0.011x²
This new function, C(x), represents the total cost per item when x items are produced, encompassing both manufacturing and service costs.

We can solve it, but we can't actually use the interactive system they want you to use.  Let's see if we can guide you through it.

My guess is you can control the lines by dragging the two points on the line.

Let's make the green line y = 2x + 3

When x=0 we get y=3, point (0,3).   That's the y intercept, 3 up on the y axis.  Drag one green point there.

When x=2 we get y=7, point (2,7), two to the right, seven  up.  Drag the other green point there.   The green line is now y = 2x + 3.

Similarly the red line is made y = -3x + 3.    When x=0, y=3, point (0,3).  [Surprise!]   When x=2, y=-3, point (2,-3).  Drag the red points to (0,3) and (2,-3).

We already saw where they meet, at (0,3), x=0, y=3, the y intercept of both lines.

Answer: x=0, y=3

Answer:

Set the factors equal to 0.

(5k - 3)(9 + k) = 0

The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero.  In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:

5k - 3 = 0

5k = 3

k = 3/5

9 + k = 0

k = -9

The value of k is 3/5 and -9.

√52 = 7.21110...

7.21 is in between 7.2 and 7.3

C - 7.2 and 7.3

The two numbers which the square root of 52 lie between are; 7.2 and 7.3.

From the task content;

√52 = 7.211

On this note, it follows that the number 7.211 lies between 7.2 and 7.3.

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The area of the bedroom is 40 square feet, 10 square feet less than the area of the kitchen.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, Gavin is moving into a new apartment that has a kitchen with an area of 50 square feet.

Also given that the area of the kitchen is 10 square feet more than the area of the bedroom.

Let, The area of the bedroom be 'x' square feet.

Therefore, x + 10 = 50.

x = 50 - 10.

x = 40 square feet.

So, The area of the bedroom is 40 square feet.

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Final answer:

The area of the bedroom is 40 square feet, calculated by subtracting 10 square feet from the kitchen's area of 50 square feet.

Explanation:

To find the area of the bedroom, we start with the area given for the kitchen, which is 50 square feet. The problem states that the kitchen is 10 square feet larger than the bedroom. Therefore, to find the area of the bedroom, we subtract the difference from the kitchen area.

Area of bedroom = Area of kitchen - 10 square feet

Area of bedroom = 50 square feet - 10 square feet

Area of bedroom = 40 square feet

Answer: B.) x = 6

Step-by-step explanation:

Pythagoras Theorem a^2 +b^2 =c^2

Additionally divide 8 by 2 since it's an isosceles triangle and it's in the middle.

[tex]\sqrt{52}[/tex] ^2 - 4^2= x^2

52 - 16 = x^2

x^2 = 36

Square root both sides = 6

Answer:

50 degrees

Step-by-step explanation:

It would be 50 degrees because angle CGD is directly across so the angle measures would be the same

Answer:

Discriminant = 84

The polynomial has two real distinct roots

Step-by-step explanation:

Given: [tex]f(x)=3x^2+12x+5[/tex]

To find: discriminant of the given function and number of distinct real zeros

Solution:

For a polynomial [tex]f(x)=ax^2+bx+c[/tex] , discriminant is given by [tex]D=b^2-4ac[/tex]

If [tex]D>0[/tex], then the polynomial has two real and distinct roots.

If [tex]D=0[/tex] then the polynomial has two real and equal roots.

If D<0 then roots are not real.

Here, in [tex]f(x)=3x^2+12x+5[/tex]

a = 3, b = 12 and c = 5

[tex]D=(12)^2-4(3)(5)=144-60=84[/tex]

As D > 0, the polynomial has two real distinct roots.

Answer:

The discriminant of F is 84

F has 2 distinct real number zeros

Step-by-step explanation:

Answer:The mode is equal to the minimum

Step-by-step explanation:

Find out the mean, median, mode and minimum

minimum = 48

mean = 50.4

mode = 48

median = 50

Answer:

The mode is equal to the minimum

Step-by-step explanation:

Find out the mean, median, mode and minimum

minimum = 48

mean = 50.4

mode = 48

median = 50