Hello! i need help with this really bad

Answer:

The tree is approximately 91.2 ft tall.

Step-by-step explanation:

Hi there!

We're told:

- angle of elevation = 69 degrees

- there is a point 35 feet from the tree

If we were to draw this out, it would appear to be a right angle triangle. See the picture below.

Now, to solve for the height of the tree, we can use the sine law:

\(\displaystyle\frac{a}{\sin A} =\frac{b}{\sin B}\) where a and b are two sides of a right triangle and A and B are the respective opposite angles

Let the height of the tree = h.

Side h is opposite of the angle measuring 69 degrees:

\(\displaystyle\frac{h}{\sin 69\textdegree}\)

Let the angle opposite of the side measuring 35 feet = A.

\(\displaystyle\frac{35}{\sin A}\)

Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.

\(\displaystyle\frac{35}{\sin 21\textdegree}\)

Use the sine law:

\(\displaystyle\frac{h}{\sin 69\textdegree} = \displaystyle\frac{35}{\sin 21\textdegree}\\\\h=\displaystyle\frac{35}{\sin 21\textdegree}*\sin 69\textdegree\\\\h=91.17812\)

Therefore, the tree is approximately 91.2 ft tall.

I hope this helps!

The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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Answer:

true

Step-by-step explanation:

Answer:

Your awnser is 11.

Step-by-step explanation:

Hope this helped.

Answer:

11 is your answer luis also the other person is correct!

Step-by-step explanation:

hope this helps luis!

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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Answer:

Step-by-step explanation:

1) 11 is an odd number and prime number

2) option 3

45 = 1, 3, 5 , 15 , 9 , 45

45 = 1 * 45  

45 = 3 *15

45 = 9 * 5

3) option 2

90 = 2 * 3 * 3 * 5

Answer: If you place 10 packages per box, each box will weigh 10(3 lb 4 oz). This is 30 lb 40 oz. For 4 boxes you would have 4(30 lb 40 oz). This is 120 lb 160 oz. To put you answer in the correct form you need to change the 160 oz to pounds and ounces. 16 oz is equal to 1 pound, so divide 160 by 16. The 160 oz is equivalent to 10 lbs. Therefore the total weight of 4 boxes is 120 + 10 which equals 130 lbs.

Answer:

-1

Step-by-step explanation:

Answer:true

Step-by-step explanation:

Answer:

Well this is true because slope, rate, unit rate, and rate of change are all different ways of saying slope or how far apart each points are from each other on a line.

To determine if the vector p(t) = t² + t + 2 belongs to the span of the vectors {p₁(t), p₂(t), p₃(t), p₄(t)}, we need to check if there exist scalars c₁, c₂, c₃, and c₄ such that c₁p₁(t) + c₂p₂(t) + c₃p₃(t) + c₄p₄(t) = p(t). If such scalars exist, then p(t) can be expressed as a linear combination of the given vectors.

To determine if p(t) belongs to the span of {p₁(t), p₂(t), p₃(t), p₄(t)}, we need to find scalars c₁, c₂, c₃, and c₄ such that c₁p₁(t) + c₂p₂(t) + c₃p₃(t) + c₄p₄(t) = p(t).

Substituting the given expressions for p₁(t), p₂(t), p₃(t), and p₄(t), we have:

c₁(2t² + t + 2) + c₂(t² - 2t) + c₃(5t² - 5t + 2) + c₄(-t² - 3t - 2) = t² + t + 2.

To determine if a solution exists, we need to equate the coefficients of corresponding terms on both sides of the equation. By matching the coefficients of t², t, and the constant term, we can form a system of equations.

Solving this system of equations, we can find the values of c₁, c₂, c₃, and c₄. If a solution exists, then p(t) can be expressed as a linear combination of p₁(t), p₂(t), p₃(t), and p₄(t), indicating that p(t) belongs to their span. If no solution exists, then p(t) does not belong to the span of the given vectors.

By solving the system of equations, if a solution exists, we can conclude whether p(t) belongs to the span.

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Answer: No -1 is not an irrational number.

Step-by-step explanation: The number 1 can be classified as a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because it is a rational number, not irrational.

To change from rectangular to cylindrical coordinates for the point (5, 3, -9), we need to find the radius, angle, and height of the point.

To change from rectangular to cylindrical coordinates, we need to find the radius (r), the angle (θ), and the height (z) of the point in question.

Starting with the point (5, 3, -9), we can find the radius r using the formula:
r = √(x^2 + y^2)

In this case, x = 5 and y = 3, so
r = √(5^2 + 3^2)
r = √34

Next, we can find the angle θ using the formula:
θ = arctan(y/x)

In this case, y = 3 and x = 5, so

θ = arctan(3/5)
θ ≈ 0.5404

Finally, we can find the height z by simply taking the z-coordinate of the point, which is -9.

Putting it all together, the cylindrical coordinates of the point (5, 3, -9) are:
(r, θ, z) = (√34, 0.5404, -9)

So the long answer to this question is that to change from rectangular to cylindrical coordinates for the point (5, 3, -9), we need to find the radius, angle, and height of the point.

Using the formulas r = √(x^2 + y^2), θ = arctan(y/x), and z = z, we can calculate that the cylindrical coordinates of the point are (r, θ, z) = (√34, 0.5404, -9).

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Answer:

22 feet

Step-by-step explanation:

The area of a circle is π · r².

So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.

Divide both sides by π to get r² = 121

Then, you take the square root of both sides to leave r = 11.

The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.

The diameter is 22 feet long.

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer:

There are enough oysters

Step-by-step explanation:

Given

\(Volume = 18\ trillion\ gallon\)

\(Area = 2867200\ acre\)

\(1\ acre = 750000\ oysters\)

\(1\ oyster = 50\ gallons\)

Required

Determine if there is enough water for a day

We have:

\(1\ oyster = 50\ gallons\)

Convert to oysters: multiply both sides by 750000

\(750000 * 1\ oyster = 50\ gallon *750000\)

\(750000\ oysters = 37500000\ gallons\)

Given that:

\(1\ acre = 750000\ oysters\)

So, we have:

\(1\ acre= 37500000\ gallons\)

Convert to acre: Multiply by 2867200

\(2867200 * 1\ acre= 37500000\ gallons * 2867200\)

\(2867200\ acres= 107520000000000\ gallons\)

By comparison:

\(18000000000000\ gallons < 107520000000000\ gallons\)

i.e. the volume of water in the bay is less than the capacity of the oysters. Hence, there are enough oysters.

Answer:

Step-by-step explanation:yes

The rotational kinetic energy of the thick-walled cylinder is 40 Joules.

The rotational kinetic energy of a rotating object can be calculated using the formula:

Rotational Kinetic Energy = \((1/2) * Moment of Inertia * Angular Speed^2.\)

To find the moment of inertia of a thick-walled cylinder, we need to consider its mass distribution and shape. For a thick-walled cylinder, the moment of inertia can be calculated as:

\(Moment of Inertia = (1/2) * m * (R_{outer}^2 + R_{inner}^2),\)

where m is the mass of the cylinder, R_outer is the outer radius, and R_inner is the inner radius.

In this case, the mass of the cylinder is 5 kg, the outer radius is 0.4 meters, and there is no mention of an inner radius. Assuming the cylinder is solid, we can consider the inner radius to be negligible.

Plugging in the values, the moment of inertia becomes:

Moment of Inertia =\((1/2) * 5 kg * (0.4^2) = 0.8 kg * m^2.\)

Now, we can calculate the rotational kinetic energy:

Rotational Kinetic Energy = \((1/2) * 0.8 kg * m^2 * (10 rad/s)^2 = 40 J.\)

Therefore, the rotational kinetic energy of the thick-walled cylinder is 40 Joules.

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Note: The question would be as

A thick-walled cylinder has a mass of 5 kg, an outer radius of 0.4 meters, and a length of 0.8 meters. It rotates around its central axis with an angular speed of 10 radians per second. What is its rotational kinetic energy?

Answer:

6

Step-by-step explanation:

Each interior angle of a regular polygon is double of its exterior angle. Therefore, the number of sides of a regular polygon is 6.

The height of the entire screen as per the given data is approximately equal to 1.568 meters.

To find the height of the entire screen, we can use the trigonometric properties of angles of elevation and depression.

Let's denote the height of the screen as h.

Given:

Distance from Lena to the screen = 8 meters

Angle of elevation to the top of the screen = 11°

Angle of depression to the bottom of the screen = 51°

We can set up two right triangles to represent the situation. One triangle for the angle of elevation and another for the angle of depression.

In the triangle for the angle of elevation, we have:

Opposite side = h (height of the screen)

Adjacent side = 8 meters (distance from Lena to the screen)

Using the tangent function:

\(tan(11) = h / 8\)

In the triangle for the angle of depression, we have:

Opposite side = h (height of the screen)

Adjacent side = 8 meters (distance from Lena to the screen)

Using the tangent function:

\(tan(51) = h / 8\)

Now we can solve these two equations simultaneously to find the value of h.

\(tan(11) = h / 8\\tan(51) = h / 8\)

Solving for h, we have:

h = 8 * tan(11°) = 1.568 meters (rounded to 3 decimal places)

Therefore, the height of the entire screen is approximately 1.568 meters.

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Answer:

x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

3+17=20

20/2=10

x=10

Answer:

1/5

Step-by-step explanation:

Answer:

\(\huge\boxed{s=17}\)

Step-by-step explanation:

ΔADB is the right triangle with a right angle in vertex B. We can use the Pythagorean theorem.

\(leg^2+leg^2=hypotenuse^2\)

We have:

\(leg=15\\leg=8\\hypotenuse=s\)

Substitute:

\(s^2=15^2+8^2\\\\s^2=225+64\\\\s^2=289\Rightarrow s=\sqrt{289}\\\\s=17\)

Answer:

this is the answer I know.

The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:

n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).

Substituting the given values in the formula, we get:

n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96

Rounding up to the nearest whole number, we get the required sample size to be 1911.

Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.

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E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.

To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.

In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).

Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.

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Answer:

42

Step-by-step explanation:

to find area, we use the formula length times width. in this given question the area is already given. the inverse operation of multiplication is division, so you divide 1470 by 35 and end up with 42

Answer: $22

Step-by-step explanation:

The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.

23 * 8 = 184 ft^2

Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).

184 * 2 = 368 ft^2

Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.

One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.

368 / 320 = 1.15 gallons

To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:

2 * 11 = $22

Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65

Answer:

x −2 −1 0

y −1 0 1

Step-by-step explanation:

Condition:

A linear relationship is proportional if the ratio of the change in the dependent variable to the change in the independent variable is constant. This constant is known as the proportionality constant and can be represented by "k" in the equation y = kx. When a linear relationship is proportional, there is a direct relationship between the variables and as one increases, the other increases and vice versa.

The second table (x = -2, -1, 0 and y = -1, 0, 1) represents a linear relationship that is also proportional. A proportional relationship means that the ratio of y to x remains constant, or in other words, y is a constant multiple of x. In this table, for every 1 unit increase in x, y increases by 1 unit, making it proportional.

The third table represents a linear relationship that is also proportional.

45 students are not partticipating

Number of students that participated in school play = 30

% of students not participating = 60%

% of those participating = 100% - 60%

% of those participating = 40%

let the total number of students in 7th graders = y

Number of students that participated in school play = total number of students in 7th graders × % of those participating

30 = y × 40%

30 = y × 0.4

30 = 0.4y

divide both sides by 0.4:

Number of students not participating = total number of students in 7th graders - Number of students that participated in school play

Number of students not participating = 75 - 30

Number of students not participating = 45