A spotlight has a beam that travels 100 feet and covers an area intercepted by an 84°
angle, as shown

What is area covered by the beam to the nearest square foot?
31416 satt
184 sq.ft
7330 sq.ft
26389 sq.ft

A Spotlight Has A Beam That Travels 100 Feet And Covers An Area Intercepted By An 84angle, As ShownWhat

Answers

Answer 1

Answer:

7330 sq.ft

Step-by-step explanation:

Area covered by the beam = Area of sector

Area of sector = [tex] \frac{\theta}{360} \times \pi r^2 [/tex]

Where,

[tex] \theta = 84° [/tex]

Radius (r) = 100 ft

Plug in the values into the formula

Area of sector = [tex] \frac{84}{360} \times \pi 100^2 [/tex]

Area of sector = [tex] \frac{84 \times \pi \times 10,000}{360} [/tex]

Area of sector = 7,330 ft² (nearest square foot)


Related Questions

Write an equation of the line with a slope of 3/4 and a y-intercept of -2.​

Answers

Answer:

y = 3/4x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 3/4

y-intercept b = -2

Step 2: Write linear equation

y = 3/4x - 2

evaluate the expression 2b3 + 5 when b = 3.

Answers

Answer:

Its 3

Step-by-step explanation:

Its Really easy ngl. if b = 3        and there is a 2 and u are supposed to replace the b its 3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of 2b³ + 5 at b = 3 is 59.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2b³ + 5  _____(1)

We will find the value of the expression 2b³ + 5 at b = 3.

Substitute b =3 in (1).

= 2b³ + 5

= 2 x 3³ + 5

= 2 x 3 x 3 x 3 + 5

= 2 x 27 + 5

= 54 + 5

= 59

Thus,

The value of 2b³ + 5 at b = 3 is 59.

Learn more about expressions here:

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factorise 12d²-19d+5

Answers

Answer:

4d99982726629161619172928227

Step-by-step explanation:

di ko alam Ang sagot

Sasha has $55 to spend on clothes. She wants to buy a pair of jeans for $27 and spend the rest on t-shirts. Each t-shirt costs $7. Which inequality represents the number of t-shirts she can purchase? (1 point)

Answers

Answer:

well let's start by taking 27 away from 55 to get 28 so we now have $28 to spend on shirts next divided 28 from 7 and you will get your answer

Step-by-step explanation:

step one- 55-27

step two 28÷7

The volume of a cylinder = ar2h. Use 3.14 for A. What is the volume of this cylinder? You may use the calculator tool in the menu.​

Answers

Answer:

{Height and radius not given}

A lines slope is 6 and it's y-intercept is 5 what is the equation in slope-intercept form

Answers

Answer:

y=6x+5

Step-by-step explanation:

what is this plug's brand?

Answers

Answer:

ce smart home

Step-by-step explanation:

it says it righ tthere

Answer:

the brand?? it says it right there if I'm not wrong lol "ce smart home"

A compound inequality is graphed, and its graph consists of all real numbers. Which open sentence could have resulted in this solution set?


Group of answer choices

r > 3 or r > –2


r > 3 or r –2


r < 3 or r < –2

Answers

Answer:

r>3 or r >-2

Step-by-step explanation:

r> 3 or > -2 I’m not very sure

Which ordered pairs do not belong to a linear function in the form below?
y = kx + b
A. (-1, -1); (0, -1)
B. (-1, -1); (-1, 1)
C. (1, 1); (0, -1)
D. (1, 1); (-1, -1)

Answers

Answer:

its D

Step-by-step explanation:

D!!!

Answer:

D

Step-by-step explanation:

What property would you use to solve m+6=−4?

Answers

Answer:

m = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define equation

m + 6 = -4

Step 2: Solve for m

Subtract 6 on both sides:                    m = -10

Step 3: Check

Plug in m to verify it's a solution.

Substitute:                    -10 + 6 = -4Add:                              -4 = -4

Can someone Help me plz ASAP

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the angles of the trapezoid

x°x°1/2x°1/2x°

As the sum of angle measure = 360°

i.e.

[tex]x+x+\frac{1}{2}x+\frac{1}{2}x=360[/tex]

[tex]x+x+2\cdot \frac{1}{2}x=360[/tex]

[tex]2x+2\cdot \frac{1}{2}x=360[/tex]

[tex]2x+x=360[/tex]

[tex]3x=360[/tex]

[tex]\frac{3x}{3}=\frac{360}{3}[/tex]

[tex]x=120[/tex]

The value of x = 120°

Hence, the angle measure will be:

x°=120x°=1201/2x°=1/2(120)=601/2x°=1/2(120)=60

Therefore, listing the angle measure in order from least to greatest

60°, 60 , 120 , 120°

4)
- 10x – 5x = 45
Solve the equation

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-10x-5x=45}[/tex]

[tex]\textsf{Combine your like terms: \mathsf{(-10x -5x)}}[/tex]

[tex]\mathsf{(-10x - 5x) = -15x}[/tex]

[tex]\mathsf{New\ equation: -15x=45}[/tex]

[tex]\mathsf{\bf{DIVIDE}\ \mathsf{\ both\ sides\ by\ -15}}[/tex]

[tex]\mathsf{\dfrac{-15x}{-15}=\dfrac{45}{15}}[/tex]

[tex]\mathsf{\bf{Cancel\ out:}}\mathsf{\ \dfrac{-15}{-15}\ because\ that\ gives\ you\ }[/tex]

[tex]\mathsf{\bf{Keep:}\mathsf{\dfrac{45}{-15}\ because\ that\ solves\ for\ x}}[/tex]

[tex]\mathsf{New\ equation: x = \dfrac{45}{-15}}\\\\\mathsf{x = 45\div-15\rightarrow \underline{\bf{-3}}}[/tex]

[tex]\huge\text{Thus, x = -3}\checkmark[/tex]

[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\text{\huge{\bf{x = -3}}}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

f(1) = 4; f(n) = 4 ⋅ d(n − 1), n > 0
f(1) = 4; f(n) = 4 ⋅ d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n − 1), n > 0

Answers

Answer:

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Step-by-step explanation:

This arithmetic sequence has a common difference of d with first term = 4.

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Answer:

D)

Step-by-step explanation:

I took the test.

Evaluate and simplify the following complex fraction.

Answers

Answer:

-10/7

Step-by-step explanation:

(-5/7)/(2/4) = (-5/7)/(1/2) = (-5/7)*(2/1) = -10/7

10(y-8)=8 what is y please help

Answers

Answer:

okay i dont have a answer but use Math-way its awsome! just type the queation it will give u a answer!

Answer:

44/5 or 8.8 or 880%

3g-2+7g+8=
What is this

Answers

Answer:

10g+6 is the answer

Step-by-step explanation:

Aneil wants to plant tomato plants and lettuce plants in a 60-square-foot garden. The tomato plants take up 2 square feet, and the lettuce plants take up 3 square feet. The equation 2x + 3y = 60 describes the number of tomato plants, x, and lettuce plants, y, that Aneil can plant in the garden. Graph this function and find the intercepts. What does each intercept represent?

Answers

Step-by-step explanation:

The more regular way of presenting such a graph is y = -2/3 x + 20

(Put the x on the right and made sure that the y has a coefficient of 1.)

Coefficient means the number in front of the letter (in this case).

x intercept = 30

(30,0)

y intercept = 20

(0,20)

The intercepts mean

The y intercept means the whole garden contains nothing but lettuce. (20)

The x intercept means the whole garden contains nothing but tomatoes.(30)

7) Select the best method to solve the system.

3x+y=7
2x=3y-4

*elimination
*substitution

Answers

I’m my opinion the best method is elimination

Answer:

substitution

Step-by-step explanation:

I would choose substitution because the first equation can easily be set in terms of y, then substituted into the second equation, while to eliminate you would have to multiply on of the equations by a number and make it negative in order to eliminate.

​Is 13 a solution to the compound inequality “x > 5 ​OR​ x < 10”

Answers

Answer:

no

Step-by-step explanation:

x is greater than 5 in this case, but it is not less than 10.

Answer:

13 > 5 is the solution

Step-by-step explanation:

because 13 is greater than 5

and 13 < 10 is not true because

10 is not greater than 13

Follow these steps to construct a triangle to represent the given information:

Draw a ray in the direction S 20° E from point P. Create a circle with radius 43.5. (Note that you'll be scaling down all the distances in miles by a factor of 10: 435 ÷ 10 = 43.5.) Label the point where the circle intersects the ray as C (Cali).
Draw a ray in the direction S 81° E from P. Mark an arbitrary point on this ray, and label it S.
Create a line through point S that is parallel to the north-south line through P.
Using the line passing through point S, draw a ray that is S 53° W.
Move point S along line PS until the ray S 53° W from S passes through point C. This position of S locates San Cristobal.
Paste a screenshot of your construction in the space below.

Answers

Answer:

i have to write something here so reading this is a waste of time.

A triangle can be constructed by different means such as:

A, B, C - angles or vertices.a, b, c - sides opposite to A,B,C, respectively, or their lengths.ha, hb, hc - altitudes (or sometimes heights) to the sides a,b,c.

What is a Triangle?

This refers to the plane figure that has three sides and angles.

Hence, we can see that in order to construct a triangle, they can be done by different means and the construction cannot be done for you, but the other means can include:

ma, mb, mc - medians to the sides a,b,c.la, lb, lc - bisectors of the angles A, B, C.

Read more about triangles here:

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need rn! worth 30

What is the value of T(−4) when T(x)=−x−2?

Answers

Answer:

Step-by-step explanation:

50 - 4 > 12 OR 12x +5< -4

Answers

Answer:

Step-by-step explanation:

5x - 4 > 12

5x > 12 + 4

5x > 16

x > 16/5

12x + 5 < -4

12x < - 4 - 5

12x < - 9

x < - 9/12

x < - 3/4

Option A is the correct answer

The scale drawing of a rectangular city park measures 10.0 cm(width) by 5.0 cm(length). The scale of the drawing is 1.0 cm = 4.5 meters. What is the actual length of the park?

Answers

Answer:

given us,

width= 10.0

length= 5.0

here,

w×d= 10.0× 5.0

= 50

now

cm/ m

=1.0/ 4.5

= 2.22

w×d x cm.m× 100

50/ 2.22× 100

2252.25

Step-by-step explanation:

we have to solve and multiply

Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?

Answers

Answer:

The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:

Tables      People

1                4

2               6

3               8

4               10

5               12

Step-by-step explanation:

Khan Academy

In Triangle ABC, ∠A + ∠B = 65° and ∠B + ∠C = 140°.Find the value of ∠B and ∠C.
Can anybody pls give the answer fast...

Answers

A + B = 65...Equation 1

B + C = 140...Equation 2

Solve Equation B for C.

C = 140 - B

The sum of the angles in a triangle is 180 degrees.

We know that A + B = 65.

65 + C = 180

We know that C = 140 - B.

65 + 140 - B = 180

205 - B = 180

-B = 180 - 205

-B = -25

B = -25/-1

B = 25

Plug B = 25 into B + C = 140 to find angle C.

25 + C = 140

C = 140 - 25

C = 115

Angle B = 25°.

Angle C = 115°.

Understand?

The zeros of a quadratic function are 1 and 7. To which factored quadratic expression is this function related?

Answers

Here’s the answer with explanation :)

The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).

Calculation of the factored quadratic expression:

Since The zeros of a quadratic function are 1 and 7.

So,

if we do

(x - 1) = 0

x = 1

And,

(x- 7) = 0

x = 7

Based on this, we can say that The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).

Learn more about function here: https://brainly.com/question/24761882

ASAP 20 points -0.45x + 0.33 = -0.66 whats x

Answers

Hola no sé qué dices solo me puse del país Canadá para que me ayuden con un ejercicio en inglés que papá Noel los bendiga

Answer:

x=2.2

Step-by-step explanation:

calc

I am having problem in these:-
1)There are two cylinders - cylinder A and cylinder B. Both the cylinders have equal volume,
Cylinder A has a nadius of 3 m and height 7 m. Cylinder B has a height of 21 m. Calculate the radius of Cylinder B, in
om (Take =22/7)

2)A rectangular tank has dimension 12 cm by 18 cm by 20cm. There is a solid cylindrical tube in the tank that has a
volume of 320 cm"3. How much water can the tank hold?​

Answers

Answer:

1) The cone's volume is 1/3 the volume of the cylinder with the same base.

Step-by-step explanation:

i dont know number 2 even though this is 5th grade math lol

Solve for x. It’s in the picture

Answers

Answer:

c,x=12

Step-by-step explanation:

5/6x+4=x+2

2=1/6x

x=12

help me I don’t wanna fail mann

Answers

Answer:

x=6

∠TSU=12x=12(6)=72

Step-by-step explanation:

∠TUS+∠STU+∠TSU=180

∠TUS+12x+81=180

∠TUS=99-12x

∠TUS+∠TUV=180

99-12x+24x+9=180

108+12x=180

12x=72

x=6

∠TSU=12x=12(6)=72

There you go. Try and use these solutions to solve others for yourself. You got it.

Answer:

x = 6°∠TSU = 72°

Step-by-step explanation:

Angle TUV is exterior angle to triangle TUS. Exterior angle measure is equal to sum of non-adjacent interior angles:

∠TUV = ∠STU + ∠TSU24x + 9 = 81 + 12x

Solving for x

24x - 12x = 81 - 912x = 72x  = 72/12x = 6°

Finding angle measure of ∠TSU

∠TSU = 12*6° = 72°
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