Jennie is standing 52 km away from the Volcano and the volcano is 2.4 km high. Assuming Makayla and the base of the volcano are at the same elevation above sea level, what is the angle of elevation from Makayla to the top of the volcan??

Answers

Answer 1

9514 1404 393

Answer:

  2.64°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

Here, the side of the right triangle in this geometry that is adjacent to the angle of elevation is the distance to the volcano: 52 km. The side opposite is the height of the volcano: 2.4 km. Then the angle α is found from ...

  tan(α) = 2.4/52

  α = arctan(2.4/52) ≈ 2.64°

The angle of elevation from Makayla's position is about 2.64°.

Answer 2

Answer:

Solution :-

Since Jennie is standing away so,

[tex] \sf \: \tan( \arctan) = \dfrac{2.4}{52} [/tex]

=> 2.64⁰


Related Questions

Please answer this teachers

Answers

Answer: What are the options?

What are the options?

Step-by-step explanation:

Select all numbers that have an absolute value of 4.

Answers

Answer: 4 and -4

Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.

Answer: 4 & -4

Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .

Step-by-step explanation:

Point M is on line segment LN. Given LN=4x, MN= x, and LM=3, determine the numerical length of LN.

Answers

Answer:

LN = 4 units

Step-by-step explanation:

Since M is on LN , then

LN = LM + MN , that is

4x = 3 + x ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Then

LN = 3 + x = 3 + 1 = 4

The required length of the line LN = 4.

Given that,
Point M is on the line segment LN. Given LN=4x, MN= x, and LM=3,  to determine the numerical length of LN.

What is a line?

The line is a curve showing the shortest distance between 2 points.

LN = LM + MN
4x = 3 + x
4x - x = 3
3x = 3
x = 3 / 3
x = 1

Length of LN
LN = 4x
     = 4 * (1)
     = 4

Thus the required length of the line LN = 4.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Which expressions are equivalent?

1/5k-2/3j and -2/3j+1/5k

1/5k-2/3j and -1/5k+2/3j

1/5k-2/3j and 1/5j-2/3k

1/5k-2/3j and 2/3j-1/5k
please help!!!!!

Answers

The answer is 1/5k-2/3j and -2/3j+1/5k because it has the same values just rearranged.

At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?

Answers

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Determine the missing factor in × 4.3 = 12.9

Answers

Answer: 3

Step-by-step explanation:

12.9/4.3 will give you the number it was multiplied by.

URGENT WILL GIVE BRAINLIEST!!!!

Answers

Answer:

7/10

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

There is a total of ten numbers, and only seven of them are odd numbers (1, 3, 7, 9, 15, 19, 21)

You have a 70% chance of picking an odd number.

How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95

Answers

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Use the Quadratic Formula to solve the equation x^2-15=2x

Answers

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.

Answers

Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

A hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. The data she collected is shown on the graph.



The manager recognizes that the data approximates a transformation of the parent sine function, .

Which value is closest to the amplitude of the transformed function?

Answers

Answer:

D. 15

Step-by-step explanation:

I just took the test lol

The amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.

What is sin function?

It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.

We have hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days.

As we can see in the graph, it is sin graph and the maximum value it attends is 15(=70-55)

And the minimum value is attends is -15(=40-55)

The graph will be:

y = 15sinx

a = 15

Thus, the amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.

Learn more about the sin function here:

https://brainly.com/question/14397255

#SPJ2

help please grade 8 20 points and i need it

Answers

Answer

1) (4,6)

2) (5,5)

3) (2,6)

Step-by-step explanation:

From the previous video: At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest
compounded monthly. In the previous question, we found that the value of the annuity at age 65 would be $77,119.43.
How much interest did you earn?
Round your answer to the nearest cent and do NOT include the dollar sign.
Do NOT round until you have calculated the final answer.

Answers

Answer: 32119.43

Step-by-step explanation:

Answer:

Step-by-step explanation:

74059.64

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

x=15

Angle (5x+6): 81

Angle (8x-39): 81

Step-by-step explanation:

5x+6=8x-39

add 39 to both sides

5x+45=8x

-5x on both sides

45=3x

divide both sides by 3

x=15

URGENT WILL GIVE YOU BRAINLIEST!!!

Answers

Answer:

#3

Step-by-step explanation:

I don’t get this question and need help. please hell

Answers

Answer

B

Explanation

Because it has the same shot and long side

Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no

Answers

Answer:

No

Step-by-step explanation:

[tex]y<-\frac{1}{3} x-2[/tex]

put in 9 for x

y<-\frac{1}{3} 9-2

y<-3 -2

y<-5

then put in -5 for y

-5<-5

Since they are the same number that makes the equation impossible

Hope that helps :)



The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

goods from the United States, where x is the number of years since 1990.


Which statements are correct?

A) g(x) appears to be a linear function

B) f(x) appears to be an exponential function


C)Exports increase more quickly around the year 2041


D) Exports eventually exceed imports from the united States


E) A quantity increasing exponentially eventually exceeds a quantity

increasing linearly

Answers

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.

Answers

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

Elijah's uncle gave him $300 to spend on baseball equipment. He bought a pair of cleats for $69.99, two baseball jerseys for $32.99 each, a new glove for
$79.99 and two pair of socks for $6.99 each. Without including tax, to the nearest dollar, how much money did Elijah have left?

Answers

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The amount Elijah has remaining is ...

  $300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70

To the nearest dollar, Elijah has $70 left.

_____

Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).

3/25 converted to a decimal

Answers

Answer:

.12

Step-by-step explanation:

First set up your proportion.

[tex] \frac{3}{25} = \frac{12}{100} [/tex]Multiply 3 and 25 by 4 to get 12 and 100.

the answer would be 12 hundredths or .12

What is the height of the ball after 5 seconds in feet?

Answers

It’s 32 feet. Just aligned the heigh of the ball from 5 seconds.

Answer:32

Step-by-step explanation:

i think the answer will be 32 feet

A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО

Answers

Answer:

x = 16

Step-by-step explanation:

First add all of your angles together to get:

9x + 36

Then set that equal to 180:

9x + 36 = 180

Now solve Algebraically:

Subtract 36 from both sides:

9x = 144

Then divide by 9:

x = 16

The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.

me ayudan por favor?
solo son 10 preguntas abc

Answers

Answer:

hi

Step-by-step explanation:

Susie says that it she has a quick way to determine the least common multiple of two numbers; you just multiply the numbers. Susie checked it with 3 and 5 and with 4 and 7 and method worked both times. Is Susie’s method a valid way to determine the least common multiple of two counting numbers? Explain.

Answers

Answer:

No, it is not a valid way

Step-by-step explanation:

Required

Is Susie's method valid?

Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.

In other words, Susie's method will not work when the two numbers have a common factor.

Take for instance, the LCM of 2 and 4.

Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.

Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work

Answers

Answer:

$35.25

Step-by-step explanation:

Find the total number of inches needed.

The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.

8 + 8 + 14 + 14 = 44 inches

he also was an additional 3 inches

44 + 3 = 47

Now we can find the total price

47 inches × $0.75 = $35.25

Hope this helps!

The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if ???? is a density function, then ????ave is the average density of E. Find the average value of the function f(x, y, z) = 3x2z + 3y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the plane z = 0.

Answers

Answer:

The average function [tex]f_{avg}[/tex] value = 4

Step-by-step explanation:

Given that:

[tex]f(x,y,z) = 3x^2z+3y^2z[/tex]

The enclosed region [tex]z = 4 -x^2 -y^2[/tex] and the plane z = 0.

Over an area E, the average value of a function f(x,y,z) is:

[tex]f_{avg} = \dfrac{1}{V_{E}} \iiint_E f(x,y,z) dV ------ (1)[/tex]

where;

[tex]V_E[/tex] = volume of region E

To find the volume use cylindrical coordinates;

[tex]x=rcos \theta; \ \ \ y = rsin \theta; \ \ \ z = z[/tex]

Then;

E = 0 ≤ r ≤2, 0 ≤ θ ≤ 2π, 0 ≤ z ≤ 4 - r²

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} \int^{4-r^2}_{0} \ rdzdrd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} r(4-r^2) \ drd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} (4r-r^3) \ drd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \Big(2r^2- \dfrac{r^4}{4} \Big)^2_0 \ d \theta[/tex]

[tex]V_E = 4(2 \pi)\\\\ V_E = 8 \pi[/tex]

However, from equation (1):

[tex]f_{avg} = \dfrac{1}{V_E} \iiint_E f(x,y,z) \ dV \\ \\ = \dfrac{1}{8 \pi} \iiint_E (3x^2z + 3y^2 z) dV \\ \\ = \dfrac{1}{8 \pi } \int^{2 \pi}_{0} \int^{2 }_{0} \int^{4 - r^2}_{0} \ \ 3zr^2 \ rdzdrd\theta \\ \\ = \dfrac{3}{8 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} \Big(\dfrac{z^2}{2}\Big)^{4-r^2}_{0} \ r^3 drd\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (4-r^2)^2 \ r^3 \ dr d\theta[/tex]

[tex]= \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16-8r^2 + r^4)r^3 \ dr d\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16r^3 -8r^5 + r^7) \ dr d \theta \\ \\ = = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \Big (4r^4 - \dfrac{8}{6}r^6 + \dfrac{r^8}{8} \Big)^2_0 \ d \theta \\ \\ = \dfrac{3}{16 \pi } (2 \pi) \Big (64 - \dfrac{8}{6} \times 64 \times \dfrac{256}{8} \Big) \\ \\ = \dfrac{3}{16 \pi} (2 \pi) (\dfrac{32}{3}) \\ \\ = 4[/tex]

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):
6, 16, 15, 10, 9, 9, 7, 11
Find the mean and median weight of these cats.
If necessary, round your answers to to the nearest tenth

Answers

Answer:

mean: 10.4

median: 9.5

Step-by-step explanation:

determine whether you can construct many one or no triangles with the given measures​

Answers

Answer:

u cant create any triangles because you have said that there are  three 45° angles

which is 45°, 45°, 45°

⇒ 135°

135≠180

every triangle is 180°

therefore no triangle

MARK ME BRAINLIEST

4 Does the equation y = x represent a function? Explain why or why not.

Answers

Answer:

y=x is a function!

Step-by-step explanation:

The reason it is a function is because it can create a:

A slope

A why y and x intercept

and a graph

Remember that x=1 and Y=1 ALWAYS

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