Batman slings a 320 ft. climbing cable from a helicopter to his batmobile below. If the cable tightens up
between the helicopter and the car to form an angle of depression of 54 degrees, how far along the ground is the
batmobile from the spot on the ground directly below the helicopter. (8 pts.)

Answers

Answer 1

Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft


Related Questions

Work out the gradient of the straight line through (-2, 1) and (1, 10)

Answers

The answer to your question is:
3

Steps:

Answer:

3

Step-by-step explanation:

Step-by-step explanation: How many solutions does the system of equations below have?

y=
–4
9

4
5

y=
–4
9

4
5

Answers

Answer:

3

Step-by-step explanation:

this question is too hard

Answers

Answer:270

Step-by-step explanation:180/2=90

90*3=270

Hope this helps :)

Answer:

270

Step-by-step explanation:

You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270

Express each of the following rational numbers in power notation
(i) -1/125

Answers

Answer:

[tex]\displaystyle \large{-5^{-3}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]

Convert to exponent using the laws of exponent:

[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]

That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:

[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]

Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]

Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?

Answers

Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.

¿Qué es el seno de un angulo?

El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.

En este problema:

El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.

Por eso:

[tex]\sin{\alpha} = \frac{8}{12}[/tex]

[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]

[tex]\alpha = 41.8^\circ[/tex]

La escalera debe formar un angulo de 41.8º con el suelo.

Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917

#SPJ1

What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.

–11
–2
0
2
11

Answers

Given Equation :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

To Find :

The value of x .

Solution :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]

The two numbers are 2 and 11, so

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]

Finding common factors :

[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]

Whether, the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]

Or, Whether the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]

So,

Therefore the value of x is (-11) or 2.

Answer:

A) –11

D) 2

Step-by-step explanation:

Got it right on edge!

A dress shop has a markup rate of 200%. find the selling price of a dress that cost the store owner $80.

pls help

Answers

Answer:

$240

Step-by-step explanation:

200% x 80 = 160

80 + 160 = $240

I need help on this question

Answers

Answer:

Step-by-step explanation:

Given quadrilateral ABCD with vertices A(0, 0), B(3, 4), C(8, 4), and D(5, 0). Complete the statements
below.
Part A: The quadrilateral ABCD is a
A. rectangle
B. rhombus
C. square
D. trapezoid
Part B: The quadrilateral ABCD can be identified as the geometric shape in Part A because
A. all sides are congruent
B. only two sides are parallel
C.
- opposite sides are parallel and congruent
D. the diagonals are congruent

Answers

Part A: Rhombus
Part B: Only two sides are parallel

Answer:

Part A:

B. rhombus

Part B:

C. Opposite sides are parallel and congruent

Why does i^3= -i
I know i is square root -1 but I don't know how i^3= -i

Answers

Answer:

i³ = -i

Step-by-step explanation:

i³ can be rewritten as i² · i

i² = -1

-1 · i = -i

Hope this helps!

help solve this and reward is brainlist.

Answers

Answer:

[A] 20%

[B] 400%

Step-by-step explanation:

Part A:

To Find: Percentage

= Price in 1985/price in 2003

Thus,

$62000×100%=6200000÷310000=20%

Part B:

To FInd: Percentage increase

= (Price in 2003-price in 1985)/price in 1985

Thus,

$248000×100=$24800000÷62000=400%

[RevyBreeze]

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

The degree of the polynomial is
options 2,3,5,6

The leading coefficient of the polynomial is
options 2,3,5,6

Is there a constant term in the polynomial?
options: yes, no.

This expression can be called a blank
expression.
options: monomial, binomial, trinomial

Answers

Answer:

2

5

YES

trinomial

Step-by-step explanation:

Given expression:  [tex]5x^2+3x+6[/tex]

The degree of the polynomial is the highest exponent = 2

The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5

The constant in the polynomial is the value without a variable, i.e. 6 = YES

This expression can be called a trinomial expression since it is a polynomial with exactly three terms.

Expression given:-

5x^2+3x+6

So

Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomial

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.

Answers

The radius of the balloon given the information in the question is 8.98cm.

What is the radius of the balloon?

The first step is to determine the volum of the balloon.

Volume = 81π cm^3 x 12 = 972π cm^3

Now, determine the radius using this formula:

∛[Volume / (4/3π )]

∛[972π cm^3/ (4/3π )] = 8.98cm

Here is the complete question:

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

help help help help help help help

Answers

I am not completely sure but the y intercept seems to be 2, the range seems to be (2,infinity). And f(1) is 1.5

The question is what is the range of the function shown on the graph above?

Answers

Answer:

0 ≤ y ≤ 7

Step-by-step explanation:

Hey there! :)

Please see an explanation for better understanding, and let me know if you have any questions!

What is Range?

Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.

For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.

Steps

To find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.

From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.

Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.

In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.

Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7

PLEASE GUYS CAN SOMEONE HELP ME WITH THESE, POINTS TO THE KIND AND SMART PERSON TO ANSWER THESE SORT OF TEDIOUS QUESTIONS HELP ASAP

Answers

Step-by-step explanation:

1.

a. true

b. false (the arc angles are relative to the center of the circle)

c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)

d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)

2.

EGS is an isoceles triangle (that means both legs are equally long).

remember the extended Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

c being the side opposite of the angle C.

let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have

3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =

= 2a²(1 - cos(124))

2a² = 3.8²/(1 - cos(124))

a² = 3.8²/(2(1 - cos(124)))

a = GS = sqrt(3.8²/(2(1 - cos(124)))) =

= 2.151883096... ≈ 2.2 cm

3.

circumference

16pi = 2pi×r

r = 8

area = pi×r² = pi×8² = 64pi

yes, the statement is true.

4.

a half-circle has 180°.

the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.

the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.

5.

diameter = 50 ft.

so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.

the length of a chord is

c = 2×sqrt(r² - d²)

with r being the radius, d being the distance of the chord from the center.

40 = 2×sqrt(25² - d²)

20 = sqrt(625 - d²)

400 = 625 - d²

-225 = -d²

225 = d²

d = 15 cm

so, the distance of the chord from the center is 15 cm.

6.

the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.

and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.

7.

they are equally long.

as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.

since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.

8.

the angle NPE is half of the angle NAE (= the arc angle NE).

the arc angle NE = 63×2 = 126°

the angle PET is half of the angle PAT (= the arc angle PT).

the arc angle PT = 19×2 = 38°

the arcs NP and ET cover the rest of the whole circle circumference (360°).

so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°

but arc angles NP and ET must be equal (as per the problem definition).

therefore, 2 equal arc angles = 196°

1 arc angle = NP = 196/2 = 98°

pls help with number 27 to find the area 20 points for awnser and thank you brainly people for helping me so much!

Answers

Answer:

27 cm²

Step-by-step explanation:

Refer to the attachment for visual reference.

First, divide into each rectangles or squares.

Then find the areas individually.

After that, combine all areas and that is the area of figure.

Area of Rectangle

A = width * length (Keep in mind that width is always less than length.)

Area of Square

A = side * side

Unit for area is cm² because we are finding area which is two dimensional.

Estimate
10
12

3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.

Answers

Answer:

The bench mark values might be 10/120 - 30/80

Step-by-step explanation

Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at 40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?

Answers

From the calculations;

The highest point above the ground is 112 feetThe time taken to reach this height is 8 seconds

Equations of motion

The equations of motion are used in kinematics to obtain the various variables that has to do with motion.

In this case;

distance covered = 30 ft

initial velocity = 40 ft/second

Final velocity = 0 m/s at the maximum height

Hence;

v^2 = u^2 - 2gh

since v = 0

u^2 = 2gh

h = u^2/2g

h = (40)^2/2(9.8)

h = 82 feet

highest point above the ground = 82 feet + 30 feet = 112 feet

Now;

v = u - gt

since v = 0

u = gt

t = u/g

t = 40/9.8

t = 4 seconds

Time taken to hit the ground = 2(4 seconds) = 8 seconds

Learn more about kinematics:https://brainly.com/question/27126557

A bird drops a stick to the ground from a height of 75 ft. The function h= - 16t2 + 75 gives the stick's
approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
graph.

Answers

The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds

How to determine the time it hits the ground?

The function is given as:

h(t) = -16t^2 + 75

Next, we plot the graph of the function h(t)

From the graph of the function h(t) (see attachment), we have the following highlight:

t = -2.165 and t = 2.165 when h(t) = 0

Time cannot be negative.

So, we have:

t = 2.165

This means that the stick hits the ground at about 2.165 seconds

Read more about quadratic functions at:

https://brainly.com/question/8649555

How are area and volume similar? (will give brainliest for the right answer)

A both take up an amount of space

B both are 2-dimensional

C both have length, width, and height

D both are 3-dimensional

Answers

Answer:

the one where it say it takes height

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got 100%

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

16

Step-by-step explanation:

no image, but 6 + 2 + 2 + 6 = 16

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

Answers

Answer:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

-10 - | 5 -12 | + 3 + | 5 + 12 | =

Answers

Answer:

3

Step-by-step explanation:

the absolute value function always returns a positive value , that is

| - a | = | a | = a

given

- 10 - | 5 - 12 | + 3 + | 5 + 12 |

= - 10 - | - 7 | + 3 + | 17 |

= - 10 - 7 + 3 + 17

= 3

the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?

a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches

Answers

B.)

Step-by-step explanation:

area of a 10 inch pizza: A=pi * r^2 = 25 pi

area of a 14 inch pizza : A= 49 pi

the change : 49pi - 25pi = 24 pi or about 75.39822

A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2

Answers

Answer:

the answer is 4,500kgm/s2

Step-by-step explanation:

force= mass × acceleration

[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]

The owner of a computer store is offering a discount on a computer sold in the store.
Computer Sale!
Original Price: $598.00
25% off original price
8% tax applied after discount
owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment.
Show your work or explain your answer. please help me ASAP it is due is 20 mins please help i will mark brainlest for correct answer

Answers

Answer:

$ 80.73

Step-by-step explanation:

You can find the complete solution in the given attachment

Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool​

Answers

The pool and gas can are to big and a coffee mug is to small so it would be B. pitcher

can someone help me with this?

Answers

Answer:

66°

Step-by-step explanation:

mJK = ( 6x - 45 )°

mJH = ( x + 20 )°

mJK = mJH

6x - 45 = x + 20

5x = 65

x = 13

mHK = ( x + 20 )° + ( 6x - 45 )°

mHK = 2 × 33° = 66 °

Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:

Answers

Answer:

arc AB = 70°

arc BC = 110°

arc ABC = 180°

arc CDB = 250°

Step-by-step explanation:

Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.

Solve for arc AB:

Angle AFB = 70°, so arc AB = 70°

Solve for arc BC:

Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.

180 - 70 = 110°

Since angle BFC = 110°, arc BC = 110°

Solve for arc ABC:

Add arc AB and arc BC together.

70° + 110° = 180°

arc ABC = 180°

Solve for arc CDB:

There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.

360° - 110° = 250°

arc CDB = 250°

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