A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show

your work!

I need help plssss

Answer:

They are the same number.

Step-by-step explanation:

3/5= 0.6. So they are the same

For 3 minutes the distance travelled by the wheel is 85.825 when the radius is 3m.

Given that,

A wheel with a radius of 3 meters will turn 1 1/2 times in one minute.

We have to find how far will that wheel have travelled after three minutes.

We know that,

The radius is 3 meters.

Perimeter of the wheel is 2πr

=2×22/7×3

=18.85

The distance travel for 1 min is 18.85×1 1/2 =28.275.

For 3 mins

28.275×3= 85.825.

Therefore, for 3 minutes the distance travelled by the wheel is 85.825 when the radius is 3m.

To learn more about radius visit: https://brainly.com/question/24051825

#SPJ9

Answer:

It will take 8 years.

Step-by-step explanation:

If the plant is already 14 inches and you want it to grow up to 38, then we subtract 14 from 38 and then divide the answer by 3 because in each year the plant will grow 3 inches, so then you get 8, which is the numbers of years.

38 - 14 = 24

24/3 = 8

Answer:

9000

Step-by-step explanation:

x of 0.5 % = 45

0.5 %

= 0.5/100

= 5/1000

= 1/200

x of 0.5 % = 45

x * 0.5 % = 45

x * 1/200 = 45

x/200 = 45

x = 45 * 200

x = 9000

Answer:

Yearly interest:

Yearly fees:

Total balance at the end of the year:

False, as negative income

Yearly interest:

Balance at the end of the year:

TRUE, as real income

False, the deals are different with +$10 and -$10

False, there is no restriction as long as it is a source of income

Answer:

Option B

. Bank B offers you a savings account with 2% annual interest rate and no fees

How?

Annual interest rate=2%

Hence annual interest

\(\\ \rm\longmapsto 500\times \dfrac{2}{100}\)

\(\\ \rm\longmapsto 5(2)\)

\(\\ \rm\longmapsto \$10\)

Now sum of money=$500+$10=$510

Answer:

pat

Step-by-step explanation:

2.75+3+2.5=8.25 pat

2+2.25+3.5=7.5 toby

8.25 > 7.5

Answer: n=64

Step-by-step explanation:

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

Pls mark it as Brainliest :)

A data set has a mean of 177 and a standard deviation of 20. 11.3% is the coefficient of variance for this collection of data.

The ratio of a data set's standard deviation to its mean, stated as a percentage, is represented by a coefficient of variation (CV), a dimensional measure of variability. It is a practical tool for contrasting the relative variance of two or more data groups with various means or measurement units.

We divide the usual level deviation by the mean, multiply the result by 100, and that number is the coefficient of variation. The coefficient in variation can be computed as follows in this situation: Using the formula CV = (standard deviation / mean) x 100, (20 / 177) x 100, and 11.3%

A low coefficient for variation means that the mean is a good indicator of the data and that the set of data has low relative variability. On the other hand, a high coefficient for variation shows substantial relative variability, which could point to the need for additional research or alternate metrics of central tendency.

Learn more about variance here:

https://brainly.com/question/30044695

#SPJ4

A random sample of 200 students is more likely to be representative of the population than a random sample of 10 students.

A larger sample size is more likely to capture the diversity of the population. With a sample size of 10, it is possible that the sample will not be representative of the population if the sample is not randomly selected.

For example, if the sample is only made up of students who are taking a particular class, then the sample will not be representative of the entire population of students. With a sample size of 200, it is less likely that the sample will not be representative of the population. This is because the sample is more likely to include a variety of students from different backgrounds and with different interests.

Hence, random sample of 200 students will be more representative of the population.

Learn more on representative sample :https://brainly.com/question/30490266

#SPJ1

Answer:

a = -7

Step-by-step explanation:

-2a -(-9) = 23

-2a + 9 = 23

-2a +9 -9 = 23 -9

-2a /-2 = 14/-2

a = -7

Therefore a is -7.

Answer:

a = -7

Step-by-step explanation:

The given equation is,

→ -2a-(-9) = 23

Then the value of a will be,

→ -2a-(-9) = 23

→ -2a + 9 = 23

→ -2a = 23 - 9

→ a = 14/-2

→ [ a = -7 ]

Hence, the value of a is -7.

Answer:

y=1/2x+5

Step-by-step explanation:

The formula is y=mx+b.

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

1/2 is the slope, and 5 is the y-intercept.

y=1/2x+5.

-hope it helps

Find the  y-intercept(b) using slope-intercept form:

y= mx+b

Plug the slope which is 1/2 and also plug x and y values.  

5= 1/2x+b

5=  1/2(2)+b

5=  1+b

-1       -1

4=  b

This is what it looks like in slope-intercept form:

y= 1/2x+4

We have to find the equation of a circunference with:

As it is a circunference that passes through a point, we know that the distance between the center and the point must be the radius, as all points in a circunference are at the same distance from the center.

We will find then the radius, by calculating the distance:

Now, this means that the radius is √90.

We use the standard form for the equation of a circle:

where (h,k) is the center of the circle. In this case,

And replacing, we obtain that the equation of the circle is:

The value of x at which the slope of the tangent line to the given function is equal to 5 is 4. Thus, the correct answer is option (b).

The incline of the digression line to the capability y=x²-3x+2 at some random point (x₀, y₀) on the bend is given by the subordinate of the capability by then. To find the worth of x for which the slant of the digression line is equivalent to 5, we want to separate the given capability and set it equivalent to 5 and afterward tackle for x.

Therefore, let's distinguish the function from x: dy/dx = 2x - 3 Now, we need to set this derivative to 5: 2x - 3 = 5. If we solve for x, we get: 2x = 8x = 4. This means that the value of x at which the tangent line to the given function is equal to 5 is 4. Accordingly, the right response is choice (b).

To know more about tangent line  refer to

https://brainly.com/question/23416900

#SPJ11

The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

To know more about superposition, visit,

https://brainly.com/question/29518396

#SPJ4

Answer:

4.021 × 10¹³ km

Step-by-step explanation:

The conversion factor of light years to km is;

1 light year = 9.461 × 10¹² km

Thus;

4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km

ANSWER

First quadrant

EXPLANATION

Those two trigonometric functions are the reciprocal of the sine and cosine functions:

Therefore:

sinθ is greater than zero for the first and second quadrants.

Also:

cosθ is greater than zero for the first and fourth quadrants.

Hence, for cscθ>0 and secθ>0, angle θ lies in the first quadrant.

Answer:

It would be B: $39.00!

Step-by-step explanation:

Sry can't explain now.

But the answer is correct.

$39.00

Answer:

1.95 inch (2dp)

Step-by-step explanation:

h≈ 1.95 inch (2dp).

Explanation:

V= 13πr2h⇒r2 = 3Vπh⇒ = √3Vπh.

With,

V = 20 and h = 5, r = √(3) (20)5π = √12π

= √3.8197 ≈ 1.95 inch (2dp).

Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.

The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14

Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.

To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;

\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)

For such more question on paper cone

https://brainly.com/question/27270005

#SPJ8

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

The mathematical phrase "e to the ipi" is composed of the imaginary unit i (the square root of -1 raised to the power of pi), which is symbolized by "pi," and the mathematical constant "e" (Euler's number).

The expression "e to the ipi" may be expressed as follows:

\(e^{(i*pi)}\)

The following formula is known as Euler's formula:

\(e^{(ipi)}\) = cos(pi) + isin(pi)

where "cos" and "sin" are the sine and cosine functions, respectively.

We may reduce this formula to using the cosine and sine trigonometric identities.

\(e^{(i*pi)}\) = -1

"e to the ipi" hence equals a negative one. This startling and outstanding finding ties together various crucial mathematical ideas, including calculus, complex numbers, and trigonometry.

Learn more about Euler's number at

https://brainly.com/question/6459192

#SPJ4

The balance when the account went into overdraft was -48.61

An overdraft occurs when something is withdrawn in excess of what is in a current account. For financial systems, this can be funds in a bank account.

Let x be the balance when the account went into overdraft

To get back to a positive balance he deposited money at a steady rate of $31.97 per week.

Amount deposited per week = $31.97

Amount deposited 3 weeks = $95.91

Now amount in account after 3 weeks =x+95.91

We are given that After 3 weeks, he had $95.91 in the account.

So, x+95.91=47.3

x= 47.3-95.91

x= -48.61

Hence The balance when the account went into overdraft was -48.61

Learn more about overdraft at:https://brainly.com/question/25772671

#SPJ1

Answer

Initial velocity = 32 ft/s

Initial height = 24 ft.

Explanation

The function gives us the function that models the height, h, in feet for the ball as a function of time, t, in seconds.

h(t) = -16t (t - 2) + 24

We are then asked to find the initial velocity and the initial height of the ball.

This means we find the velocity and the height of the ball at t = 0

Velocity is given as the first derivative of the height function

v = (dh/dt)

h(t) = -16t (t - 2) + 24

h(t) = -16t² + 32t + 24

v = (dh/dt) = -32t + 32

When t = 0

v = -32t + 32 = -32 (0) + 32 = 0 + 32 = 32 ft/s

Initial velocity = 32 ft/s

For the initial height, t = 0

h(t) = -16t (t - 2) + 24

h(t) = -16t² + 32t + 24

h(0) = -16(0²) + 32(0) + 24

h(0) = 0 + 0 + 24

h(0) = 24 ft

Initial height = 24 ft.

Answer:

The initial velocity of the ball is 32 feet per second.

The initial height of the ball is 24 feet.

Step-by-step explanation:

Velocity is the rate of change of distance with respect to time.

Therefore, to find the equation for velocity, differentiate the height function with respect to time.

\(\begin{aligned} h(t) &= -16t(t - 2) + 24\\&= -16t^2+32t+24\\\\\implies v=h'(t)&=-32t+32\end{aligned}\)

The initial velocity of the ball is its velocity when t = 0.

Therefore, at time t = 0, the velocity is:

\(\begin{aligned}\implies v=h'(0)&=-32(0)+32\\&=32\sf\;ft\;s^{-1}\end{aligned}\)

Therefore, the initial velocity of the ball is 32 feet per second.

The initial height of the ball is the height when t = 0.

Therefore, at time t = 0, the height of the ball is:

\(\begin{aligned} \implies h(0) &= -16(0)(0 - 2) + 24\\&= 0+24\\&=24\sf\;ft\end{aligned}\)

Therefore, the initial height of the ball is 24 feet.

The population of interest is all students at her high school

The community or group that a researcher attempts to draw conclusions from is known as a population of interest. The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings.

When researching the opinions of students at her high school over the new school hours suggested by the school board, Kristen is interested in "all students at her high school." She wants to know what high school students think, and the only way to find out is to ask the students themselves. The other choices are incorrect because the study is focused on the opinions of the children at her school rather than theirs.

Read more about population of interest on:

https://brainly.com/question/15302041

#SPJ4

Answer:

m = 5

a = -3

b = -15

Step-by-step explanation:

(m - 2) = 3 for x^2

(2a + 3) = - (m - 2) = (2 - m) for x^1

(b + 6) = (2a - 3) for x^0

Answer:

Pleased and hobby

Step-by-step explanation:

I did it