factor 4w^4+16w^2+15

The height of the tower is 17.32 meters

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, Ical is 10 meters away from a tower [since angle is not given let the angle of the top of the tower be 60°], we need to find the height of the tower, [see the figure attached]

The whole scene is making a right triangle, so using the concept of trigonometric ratios,

We get,

Tan 60° = height of the tower / distance of Ical from the tower

Tan 60° = height of the tower / 10

Height of the tower = 10 × Tan 60°

Height of the tower = 10 × √3

Height of the tower = 10√3

Height of the tower = 10 × 1.73

Height of the tower = 17.32

Hence, the height of the tower is 17.32 meters

Learn more about height and distance, click;

https://brainly.com/question/15939509

#SPJ9

True. bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.

A confidence intervals bar chart (shown as red lines)

In graphs, error bars are used to graphically show data variability and to denote error or uncertainty in reported measurements. They provide a basic indication of a measurement's accuracy or, alternatively, how far the true (error-free) value may deviate from the reported value. The standard deviation of uncertainty, the standard error, or a specific confidence range (such a 95% interval) are frequently represented as error bars. Due to the fact that these values are not the same, the measure chosen needs to be specified clearly in the graph or supporting text.

According to the definition the statement is true.

True. bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.

Learn more about bar graph here:

https://brainly.com/question/30582994

#SPJ1

Answer:

The pay off matrix (for numbers 1-9) is shown in the attached table.

The value of the game (expected winning per play) = $9.57

The strategy for player II is to call even numbers all the time, which guarantees a winning in every game!

The strategy for player I is to call odd numbers all the time, in case player II calls odd numbers (good luck!)

Step-by-step explanation:

The pay off matrix (for numbers 1-9) is shown in the attached table.

The payoff for player II (even wins) is 775 for 9*9 = 81 possible scenarios.

Thus the value of the game is 775/81 = $9.57  (expected winnings per play)

The strategy for player II is to call even numbers all the time, which guarantees a winning in every game!

The strategy for player I is to call odd numbers all the time, in case player II calls odd numbers (good luck!)

The answer is 5841 minutes.

Answer: 600 mm

Step-by-step explanation:

Let height of her model be x meters

So,

500x = 300

\(\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}\)

Therefore, Stacy's model is 600 millimeters tall

Answer:

C. If Sally does not play basketball, then She is not 6 feet tall

Step-by-step explanation:

Represent the two statements with p and q

Given

p = Sally is 6 feet tall

q = Sally plays basketball

Required

Determine the contrapositive

For a statement

\(p\ -> q\)

Meaning; If p then q

The contrapositive is:

\(\¬q -> \¬p\)

Meaning: If not q, then not p

Hence;

Option C answers the question

The answer is -6.5

do you need an explination

Answer:

light blue one

Step-by-step explanation:

The light blue one if i can see it correctly, -65

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

Learn more about  3D structure from

https://brainly.com/question/25420019

#SPJ1

See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

The probability of selecting an elm or oak tree is 0.38.

The probability of selecting an elm or oak tree is the sum of the probabilities of selecting an elm and selecting an oak:

P(elm or oak) = P(elm) + P(oak)

P(elm) = 0.04

P(Oak) =0.34

Plug in these values

= 0.04 + 0.34

= 0.38

Therefore, the probability of selecting an elm or oak tree is 0.38.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:

(-2,8) and (2,-8)

the second is a reflection across the x axis

the third is a reflection across the y axis

this just reverse the points, i'm not sure if it's anything

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

9a + 3b + 6c

Step-by-step explanation:

4a-6b+9c + 5a+9b-3c

4a + (-6b) + 9c + 5a + 9b + (-3c)

(4a + 5a) + (-6b+9b) + (9c-3c)

9a + 3b + 6c

Answer:

the person below is correct I believe

Step-by-step explanation:

hope this helped have a good rest of your night :)❤

Answer:

yesss

Step-by-step explanation:

Answer:

11/6 or 1 5/6

Step-by-step explanation:

11 = 5 = 6

11/6

simplified it is

1 5/6

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

For such more questions on simplified form

https://brainly.com/question/28323654

#SPJ8

Answer:

1. 6164 × 10 = 61640

2. 61640 ÷ 7 = 8845.71

Answer = $8845.71

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

To learn more about GP visit:

https://brainly.com/question/29323941

#SPJ1

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

For such more questions on velocity

https://brainly.com/question/25749514

#SPJ8

Answer:

True

Step-by-step explanation:

Answer:

the time Ari spent to walk is

\(1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)\)

the time Beth spent to walk is

\(1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)\)

the time Cathy spent to walk is 1h21' = 1.35(h)

so the time Ari spent > Cathy > Beth

=> list: Beth, Cathy, Ari

Answer:

It will be a "V" Shape. This is because it is an absolute value equation.

Step-by-step explanation:

Go to Desmos and graph with random numbers and you will see.

The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


To learn more about probability distribution
https://brainly.com/question/14210034
#SPJ4

Answer:

11 + 10i

Step-by-step explanation:

Just treat i like any other variable, and combine like terms. Hope that helps!

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

The value of each variable in the angles are as follows:

When line intersect angle relationships are formed such as vertically opposite angles, linear angles etc.

The angle 2(5x - 5) is vertically opposite to the angle 20y and the angle 5y + 5 is vertically opposite to the angle 3x - 5.

Therefore, vertically opposite angles are congruent.

Hence,

2(5x - 5) = 20y

10x - 10 = 20y

10x - 20y = 10

5y + 5 = 3x - 5

3x - 5y = 5 + 5

3x - 5y = 10

Combine the equations

10x - 20y = 10

3x - 5y = 10

multiply equation(ii) by 4

10x - 20y = 10

12x - 20y = 40

subtract the equations

2x = 30

x = 30 / 2

x = 15

10(15) - 20y = 10

150 - 20y = 10

-20y = 10 - 150

-20y = - 140

y = - 140 / - 20

y = 7

Hence,

x = 15

y = 7

learn more on angles and variables here: brainly.com/question/8379621

#SPJ4

Answer:

\(y=-\frac{2}{3}x-\frac{10}{3}\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(y =-\frac{2}{3} x +4\)

In the given equation, \(-\frac{2}{3}\) is in the place of m, making it the slope. Because parallel lines always have the same slope, the slope of the line we're currently solving for is \(-\frac{2}{3}\). Plug this into \(y=mx+b\):

\(y=-\frac{2}{3}x+b\)

2) Determine the y-intercept (b)

\(y=-\frac{2}{3}x+b\)

Plug in the given point (-2,-2) to solve for b

\(-2=-\frac{2}{3}(-2)+b\\-2=\frac{4}{3}+b\)

Subtract \(\frac{4}{3}\) from both sides to isolate b

\(-2-\frac{4}{3}=\frac{4}{3}+b-\frac{4}{3}\\-\frac{10}{3} =b\)

Therefore, the y-intercept of the line is \(-\frac{10}{3}\). Plug this back into \(y=-\frac{2}{3}x+b\):

\(y=-\frac{2}{3}x-\frac{10}{3}\)

I hope this helps!