Tyler is observing the ascent of a
steel beam being lifted by a crane
from a position about 250 feet
away. What function models the
height h in feet of the beam as a
function of the angle of inclination
from Tyler's position to the steel
beam?

Answers

Answer 1

Answer:

Step-by-step explanation:

tanθ = h/250

h = 250tanθ

Answer 2

The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ feet

What is angle of inclination?

"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis."

What are trigonometric functions?

"The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

We have

Adjacent side = 250 feet

From the figure,

We can write trigonometric function

Tanθ = [tex]\frac{AB}{BC}[/tex]

Tanθ = [tex]\frac{h}{250}[/tex]

h = 250 tanθ feet

Hence, The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ

Learn more about angle of inclination and trigonometric functions here

https://brainly.in/question/1013629

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Tyler Is Observing The Ascent Of Asteel Beam Being Lifted By A Cranefrom A Position About 250 Feetaway.

Related Questions

What is the value of y?

3
4
5
6

Answers

Answer:

Step-by-step explanation:

2y+4=10

we will subtract 4 from both sides

2y=10-4

2y=6

y=3

Answer:

3is your answer

2y+4=10

2y=10-4

y=6/2=3

Complete the square to: n2 + 4n - 8 = 0

Answers

Answer:

(n + 2)² = 12

Step-by-step explanation:

[tex] {n}^{2} + 4n - 8 = 0 \\ {n}^{2} + 4n = 8 \\ {n}^{2} + 4n + 4 = 8 + 4 \\ {(n + 2)}^{2} = 12[/tex]

If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?

Answers

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

[tex]Radius = r[/tex]

[tex]Height = 9[/tex]

Cylinder 2:

[tex]Radius = 3r[/tex]

[tex]Height = 9[/tex]

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

For A:

[tex]V_A = \pi r^2*9[/tex]

[tex]V_A = 9\pi r^2[/tex]

For B:

[tex]V_B = \pi (3r)^2 * 9[/tex]

[tex]V_B = \pi *9r^2 * 9[/tex]

[tex]V_B = 9* 9\pi r^2[/tex]

In (a): [tex]V_A = 9\pi r^2[/tex]

So, we have ve:

[tex]V_B = 9*V_A[/tex]

[tex]V_B = 9V_A[/tex]

If the first cylinder can fill 1, then the second can fill 9 pitchers

I need help please HeLp

Answers

Answer:

The triangle is 1, since 10 - 1 is 9.

Hope that helps!

Step-by-step explanation:

Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.​

Answers

Answer:

possible answer: 44- parent/ 14 yrs old daughter.

Sorry if i'm wrong

Step-by-step explanation:

Find the GCE.
10rs, 35rst

Answers

The GCE of 10 and 35 is 5

I need help on this :)

Answers

Answer:

<

Step-by-step explanation:

Need points :(

Answer:

Step-by-step explanation:

x+23+x=90

2x=67

x=33.5

What is the average rate of change in temperature from February to May?

Answers

Answer:

27 degrees

Step-by-step explanation:

I need help ASAP will mark you the brainliest

Answers

Answer:

The similarity is they are using tools to help them make the lines, but the differences are they are using different tools to make different lines. While 1 of the tools is similar to the other

Step-by-step explanation:

Which value of x, from the choices below, make the expressions x + 3 and 2x equivalent?

Answers

Answer:

x = 3

Step-by-step explanation:

n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46

Answers

Answer:  D) 46

===========================================================

Explanation:

We have these 8 given facts

N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36

Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.

Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.

Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.

Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.

If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.

---------------------------

So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17

In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.

From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.

The last value to fill in is the 36 from fact 8. This goes outside all of the circles.

The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.

---------------------------

Using that diagram of filled in values, add up every number written down:

17+9+39+12+10+36 = 123

We have 123 items so far in the universal set

We're told that n(U) = 147, meaning there are 147 items total in the universal set.

This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.

That 24 adds to the other numbers inside circle C to get to the final answer

12+10+24 = 46

Choice D is the answer.

Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.


Which fraction has a value less than 5-7?

Answers

Answer:

3/4

Step-by-step explanation:

Can you prove these similar triangle step by step?

Answers

Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.

hopes this helps

Step-by-step explanation:

Kirsten has to walk 2 3/4km to school. How far has she walked when she halfway? Give your answer in metres.

Answers

Answer:

375 m

Step-by-step explanation:

[tex] \frac{3}{4} \times 1000 = 750[/tex]

From halfway

[tex] \frac{750}{2} = 375[/tex]

Follow me and text me if you need anything in math.

Perform the operation.
(6x2 – 5x) – (10x² + 8x – 8)
HELP ASAP PLS

Answers

-4x^2-13x+8. It says negative four x squared just in case you didn’t know. I hope it’s right

If x=9 in what is the surface area of the geometric shape formed by this net?

Answers

Answer:

1134 in²

Step-by-step explanation:

Surface area is:

x²*2 + 3x*x*4 = 14x²

Substitute x:

14x² = 14*9² = 1134 in²

Reina enjoys dinner at a restaurant in Alhambra where the sales tax on meals is 10%. She left a 20% tip on the price of her meal before the sales tax was added. The meal was $22. How much should she give for tip? Show your work or explain your solution.$2.20
$4.40
10%
$6.60

Answers

Answer:

Step-by-step explanation:

Your answer

Meal is 22$

10% tax, tax with price = 24.2$

She gave on tip = 4.84$

Total price = 29.04$

Mark it as Brainlist answer. Follow me.

A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?

Answers

Add both distances together:

50 + 22 = 72 feet total distance.

Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!

Answers

for number 3 it is 56 pints! i’ll do the other ones in a second
3: 7gallons = 56 pints

What is 3+3!!??!!??!!??!!??!!??!!??

Answers

Answer:

6

Step-by-step explanation:

cause 3+3 is 6

thanks for the easy points :3

Answer:

id.kkkkk.. maybe 5.. maybe 6...

:O

A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?

Answers

Answer:

1.486m/s

Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

Distance = 16.5 and 5.5

Time = 10.9 and 3.5

When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

= 1.486m/s

The constant rate of change has been calculated to be equal to 1.486m/s

You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.

The constant rate of the current is given by 1.4865 meters per second.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

How to measure the constant rate of the current for the given situation?

The distance traveled by the tracker depends on the time passed.

Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:

[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]

Thus, the constant rate of current is obtained by

[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]


Thus,

The constant rate of the current is given by 1.4865 meters per second.

Learn more about rate of change here:

https://brainly.com/question/2460159

what is the solution for 5(m-3) ≥ 7m-2.4 ?

Answers

Answer:

Step-by-step explanation:

5(m-3)≥7m-2.4

5m-15≥7m-2.4

2m≤-12.6

m≤-6.1

Answer:

m>6.3

Step-by-step explanation:

Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5

Answers

Answer:

3

Step-by-step explanation:

2 plus 1 is 3

this year cornells class took one more than 3 times as many field trips as last years class this year cornells class took a total of 7 trips how many trips did his class take last year ​

Answers

Answer:

ten may be if it is incorrect forgive me

if root x+9=root 784, the value of x​

Answers

Answer:

on squaring complete term

x + 81 = 784

x = 784 - 81

x = 703

Step-by-step explanation:

2 3
X 8 4

What’s the answer?

Answers

Answer:

1932

Step-by-step explanation:

Answer:

1932

...................

Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?​

Answers

Answer:

$60

Step-by-step explanation:

3 tenths of 100 is 30

1 * 10 is 10

100 - 30 + 10

= 100 - 40

= $60

Why is it reasonable to use the same units to describe circles and measure of angles?

Answers

Answer:

The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.

Explanation:

The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)

#5 Mr. Awesome & Mrs. Amazing had their students count how many pencils they each had in their pencil boxes. The box plots display the data for both classes. NUMBER OF PENCILS Mc. Awesome's Class Mrs Amazing's Class 앵 0 1 2 3 10 12 13 14 4 15 16 17 18 19 20 Which statement is best supported by the information in the box plots? A) The data for Mr. Awesome's class is more symmetrical than the data for Mrs. Amazing's class. B) The interquartile range of the data for Mr. Awesome's class is less than the interquartile range of the data for Mrs. Amazing's class. The median number of the data for Mr. Awesome's class is less than the median number of the data for Mrs. Awesome's class. D) The range of the data for Mc Awesome's class is less than the range of the data for Mrs. Amazing's class. Amazno Mihemetics​

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Bbsshhshshshdhdhdgdbdbbshdhd

Choose the inequality that represents the following graph.

Answers

Answer:

a

Step-by-step explanation:

the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5

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