How do I solve these?

Answer:

3 1/5

Step-by-step explanation:

The height of the building is approximately 86.60 meters.

To find the height of the building, we can use trigonometric ratios, specifically the tangent function.

In this scenario, the angle of elevation is 60 degrees, and the distance from the foot of the building to the point where the angle is measured is 50 meters.

Let's denote the height of the building as 'h'. According to trigonometry, the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case, the opposite side is the height of the building (h), and the adjacent side is the distance from the foot of the building (50 meters).

Using the tangent function, we have:

tan(60 degrees) = h/50

Simplifying this equation, we can solve for h:

h = 50 × tan(60 degrees)

Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.

Therefore, h = 50 × 1.732 ≈ 86.60 meters.

For more questions on height

https://brainly.com/question/31485233
#SPJ8

To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:

x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).

c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).

d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.

To learn more about observations click here : brainly.com/question/9679245

#SPJ11

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

A bisector is a line that divides a given line or angle into two equal parts or measures. So that the required statements and reasons are given below:

              STATEMENT                                                 REASONS

1. BC bisects <ABD                                 Given

2. m<ABC = \(26^{o}\)                                       Bisection property of an angle

3. 2(m<ABC) = \(52^{o}\)                                   Sum of angles of a bisected angle

4. m<ABC = m<CBD                                Congruent parts of a bisected angle

5. <mABC + m<ABC =  \(52^{o}\)     Sum of an individual angle of a bisected angle

6.  m<ABC + m<CBD = \(52^{o}\)                      Sum of angles of a bisected angle

7. m<ABC + m<CBD = m<ABD          Sum of the angles of a bisected angle

The above statements and reasons are majorly centered on a bisector, the angles formed due to the bisection of a given angle, and the bisected angle.

For more clarifications on the bisection of an angle, visit: https://brainly.com/question/5799105

#SPJ1

Answer:

1. BC bisects <ABD | Given

2.m<ABD=52 | Given

3.m<ABC = m<CBD | Definition of Bisector

4.m<ABC + m<CBD = m<ABD | Angle Addition Postulate

5.m<ABC + m<CBD =52 | Substitution Property

6.m<ABC + m<ABC =52 | Substitution Propery

7.2(m<ABC)=52 | Addition

8.m<ABC=26 | Division Property

Step-by-step explanation:

Edge 2022

Answer:

Unlikely

Step-by-step explanation:

Certain= 100% chance of your event occuring.

Impossible = 0% chance of your event occuring.

Neither of these apply.

Likely= >50% = >4/8

Unlikely= <50% = <4/8

Unlikely

Answer:

the answer to question 18 is

6n- 2n = 4n

4n=4

divide both side by 4

4÷4= 1

so the answer is 1

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

for more such question on linear visit

https://brainly.com/question/2030026

#SPJ8

Answer:

y=28/3x+6

Step-by-step explanation:

If you use the slope formula,     y2-y1

                                                      _____\

                                                       x2-x1

You would get that the slope is 23/3 and you can see the y-intercept is 6 so you would get y=28/3x+6.                                                        

Answer:

A

A

Step-by-step explanation:

8) because of the rules of angles we know that all angles found on a line are equal to 180 degrees, and all angles opposite one another are equal. because of this A is not possible. 90 and 40 do not add up to 180 degrees, and are not equivalent to each other.

9) using the same rules as above, we know that the two angles have to add up to 180 degrees (they can't be equal this time). A is not possible.

Answer:

$1,725,360

Step-by-step explanation:

For this, you would just multiply every number: \(employees×weekly salary×weeks\) which is \(546×790×4=1,725,360\).

Answer:

I think all u need to do is mulitply thoses numbers just use calulator

Step-by-step explanation:

hope it helped

The probability that a flight takes more than 140 minutes is approximately 0.333. (Option d: P(x > 140) = 0.333)

To find the probability that a flight takes more than 140 minutes, we need to calculate the proportion of the total distribution that lies beyond 140 minutes.

Given that the time to fly is uniformly distributed between 120 and 150 minutes, we can determine the length of the entire distribution as:

Length of distribution = maximum time - minimum time = 150 - 120 = 30 minutes.

The proportion of the distribution that lies beyond 140 minutes can be calculated as:

Proportion = (Length of distribution - Length up to 140 minutes) / Length of distribution

          = (30 - (140 - 120)) / 30

          = (30 - 20) / 30

          = 10 / 30

          = 1/3

          ≈ 0.333

Therefore, the probability that a flight takes more than 140 minutes is approximately 0.333.

Hence, the correct option is:

d) P(x > 140) = 0.333

To know more about probability, refer here:

https://brainly.com/question/15157031

#SPJ4

Complete Question:

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.

What is the probability that a flight takes time more than 140 minutes? *

a-P(x> 140)=0.14

b-P(x> 140)=1.4

c-P(x> 140)=0

d-P(x> 140) = 0.333

Answer:

y = 2x+7

Step-by-step explanation:

y = mx + c

m = slope

c is the y intercept

so

y = 2x+ 7

(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

To know more about  Schwarzschild radius

https://brainly.com/question/29534114

#SPJ11

Area of trapezoid= 1/2 (13.4+5.6)×4

= 1/2 ×19

=76/2

=38yd

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

Learn more about combinations here : brainly.com/question/28065038

#SPJ11

Answer: 5,000

hope this helps

Answer:

5 thousand would be the answer

Step-by-step explanation:

the 5 is in the thousandths place

Answer:

36

Step-by-step explanation:

A dentist bought 9 bags of prizes for his patients.

Each of the bags has 12 prizes

The first step is to calculate the total number of prizes

= 9 × 12

= 108 prizes

Since the prizes will be shared equally in 3 boxes then the number of prizes in each box can be calculated as follows

= 108/3

= 36

Hence the number of prizes in each of the 3 boxes is 36

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

\(f(t)=a(r)^t\)

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

\(\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}\)

One year has 365 days.

Therefore, the amount remaining after one year will be:

\(\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548\)

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

\(f(t)=Ce^{kt}\)

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

\(255=510e^{38k}\)

Solving for k:

\(\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)\)

Thus, our function is:

\(f(t)=510e^{t\ln(.5)/38}\)

Then after one year or 365 days, the amount remaining will be about:

\(f(365)=510e^{365\ln(.5)/38}\approx 0.6548\)

You are more likely to win by playing regular defense.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Assume out of 100 reviewed games, there were 50 regular defense games and 50 prevent defense games. And out of 50 regular defense games, 38 were won, 12 were lost.

And out of 50 prevent defense game, 29 were won, 21 were lost.

Probability to win the game by playing regular defense is:

P(win | regular) = 38/50 = 0.76

Probability to win the game by playing prevent defense is:

P(win | prevent) = 29/50 = 0.58

Since the probability of winning by regular defense game is more than prevent defense game (0.76 > 0.58),

Hence, you are more likely to win by playing regular defense.

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ7

The answer is Quadrant II. First, we need to understand what csc and cos represent in trigonometry. Csc (cosecant) is the reciprocal of sine, meaning it is equal to 1/sin.

Cos (cosine) represents the ratio of the adjacent side of a right triangle to its hypotenuse.
Now, let's look at the given statements. csc 0 > 0 means that the sine of 0 is positive. Since sine is positive in Quadrants I and II, we know that 0 lies in either of those two quadrants.
Next, cos 0 < 0 means that the cosine of 0 is negative. Since cosine is negative in Quadrants II and III, we can eliminate Quadrant I as a possibility and conclude that 0 must lie in Quadrant II.

Based on the given conditions, csc θ > 0 and cos θ < 0, θ lies in Quadrant II.
Explanation:
csc θ is positive when sin θ is positive. Sin θ is positive in Quadrant I and II.
cos θ is negative in Quadrant II and III.
The only common quadrant is Quadrant II.

To know more about trigonometry visit:-

https://brainly.com/question/29002217

#SPJ11

Answer:

y=2

Step-by-step explanation:

Hey there!

The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)

Answer:

38

Step-by-step explanation:

X+35=73

x=73-35

x=38

Answer:

X=38

Step-by-step explanation:

x+35=73

-35 -35

Answer:

x=-1

Step-by-step explanation:

\( \frac{x ^{100} + 1 }{x + 1} \)

\(x + 1 = 0\)

\(x = - 1\)

(a). There is a 5.26% chance that the metal ball falls into a green slot.

(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

(c). P(00 or red)  ≈ 0.5263

(d). This event is called impossible.

(a) P(green) = 2/38 = 1/19 ≈ 0.0526.

This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)

(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)

(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.

(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

The required cycle-time is approximately 57.6 seconds.

To find the required cycle time, we need to divide the total available time by the number of units to be produced.

Total available time: 16 hours = 16 * 60 minutes = 960 minutes = 960 * 60 seconds = 57,600 seconds

Number of units to be produced: 1,000 units

Required cycle time: Total available time / Number of units

Cycle time = 57,600 seconds / 1,000 units

Cycle time ≈ 57.6 seconds

Therefore, the required cycle time is approximately 57.6 seconds.

Learn more about cycle-time from the given link

https://brainly.com/question/15356513

#SPJ11

AB = BC

Area of shaded part = Area of the square - the area of the circle

Area of shaded part = 37.68- 12 =25.68 square inche

We know that if once you have the limits, you can substitute them into the integral and evaluate it accordingly.

To use cylindrical coordinates to evaluate the triple integral ∫∫∫E(x^2+y^2)^(1/2)dV, first recall the transformation from Cartesian coordinates (x, y, z) to cylindrical coordinates (ρ, θ, z):

x = ρcos(θ)
y = ρsin(θ)
z = z

The Jacobian for this transformation is |d(x, y, z)/d(ρ, θ, z)| = ρ. Thus, we can rewrite the integral as follows:

∫∫∫E(x^2+y^2)^(1/2)dV = ∫∫∫Eρ√(ρ^2cos^2(θ)+ρ^2sin^2(θ))ρdρdθdz

Simplify the expression under the square root:

ρ√(ρ^2cos^2(θ)+ρ^2sin^2(θ)) = ρ√(ρ^2(cos^2(θ)+sin^2(θ))) = ρ√(ρ^2) = ρ^2

Now, the triple integral becomes:

∫∫∫Eρ^2ρdρdθdz

Determine the limits of integration based on the given region. Without further information about the region, I cannot provide the exact limits of integration or evaluate the integral. However, once you have the limits, you can substitute them into the integral and evaluate it accordingly.

To know more about limits refer here

https://brainly.com/question/8533149#

#SPJ11