A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight? Use 3.14 for pi.

Answers

Answer 1

i know im late but i will still grab these points

Answer: 28.27 m

Step-by-step explanation: A = 1/4 π d2= 1/4 * π * 6*2 ≈ 28.27

Answer 2

Answer: 28.27

Step-by-step explanation:


Related Questions

A rectangular playground has a perimeter of 30 yards. It is 6 yards wide. What is the area of the playground?

Answers

I believe it’s 180. Hope this helps!

Which graph represents the solution set of - 4x - y <- 6?

Answers

Answer: it’s D

Step-by-step explanation:

The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.

What is Linear Inequality?

Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

In the given question, we have given the graph of the inequality  4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.

So, the Inequality is:

- 4x - y <- 6.

So, we can substitute the value of x and y;

So, substitute x = 1;
So, The y value will be less than 2;

That is:

y < 2;

Again let's put the value of x = -1;

we get the value of y  as less than 10.

y<10;

So, by substituting the values as mentioned we can see that the value of y is decreasing.

So, by plotting the values in the graph, we can get the correct graph.

Hence, The correct answer is option d.

To learn more about Linear Inequality, visit:

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#SPJ13

I NEED HELP !!!! PLEASEEEEEEEEEEEE

Answers

vertex form: y = (x + 1)^2 - 25
vertex: (-1, -25)


A farmer has 140 bushels of beans for sale at a farmer's market. He sells an average of 15 bushels each day. After 6 days, what is the change in the total number of bushels the farmer has for sale at the farmer's market?
Write a signed number representing the change in the total number of bushels the farmer has for sale.

Answers

Answer:

50

15 * 6 = 90

140 - 90

Evan bought a rectangular doormat that is 1_2 meter long and 3__10 meter wide. What is the area, in square meters, of the doormat?

Answers

Answer:

3/20 m²

Step-by-step explanation:

Here is the complete and clear question :

Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?

Characteristics of a rectangle

A rectangle is a quadrilateral It has two parallel sidesthe diagonals of a rectangle bisect each other and they are equal in length

Area of a rectangle = length x breadth

Area of the rectangular doormat = [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{3}{20}[/tex] m²

Which shows the equation of the line that is parallel to the line 4x + y = 4 and passes through
the point (5, 4)?

Answers

Answer:

i B-elive it is B XD

Step-by-step explanation:

Answer:

D. y=-4x+24

Step-by-step explanation:

1.4x+y=4

y=-4x+4

2.4=-4(5)+a

4=-20+a

a=24

3.y=-4x+24

-

m(x)=-5/3x+4
Find m(3)

Answers

Answer:

-1

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses:

m(x) = (-5/3)x + 4

To find m(3), replace x in the above equation with 3:

m(3) = (-5/3)(3) + 4  =  -5 + 4 = -1

PLEASE SOMEONE HELP ME ON THIS ONE!!

Answers

Answer:

266.24 Ounces

Step-by-step explanation:

By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:

y = -3.84(x) + 320

By using this equation we will then add the 14 days as x to get

y = -3.84(14) + 320

y = -53.76 + 320

y = 266.24

who wanna watch anime​

Answers

Answer:

sure.

Step-by-step explanation:

dm on discord. xcyz#6022

anime is the way leave the earth for your waifu

Help i will give brainlist. The quotient of 2 and g is 8 can u pls show me step by step ty​

Answers

Answer:

16

Step-by-step explanation:

Set up the equation: g/2 = 8

We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).

End up with: g = 16

Hope this helps :)

plz help highly appreciated

Answers

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4

The time in Wellington is 11 hours ahead of the time in London. What time is it in Wellington when it is 6 15 am in London?

Answers

Answer:

5:15 pm

Step-by-step explanation:

Hope this helps!

PLEASE DON'T GO PAST THIS QUESTION. REALLY IMPORTANT!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

8.180

9.34.44

10. 885.6

1. Which function does not have the set of all real numbers as its domain? A) f(x) = 3x + 7 B) f(x) = x3 - 2x2 + x – 5 C) fx= 2x-3 D) fx= x-7x+4

Answers

Answer:

None of the given functions

Step-by-step explanation:

Given

[tex]A)\ f(x) = 3x + 7[/tex]

[tex]B)\ f(x) = x^3 - 2x^2 +x - 5[/tex]

[tex]C)\ f(x)=2x - 3[/tex]

[tex]D)\ f(x)=x^2 - 7x + 4[/tex]

Required

Which do not have set of real numbers as its domain

If a function has no root and no denominator, then the domain of such function is a set of all real numbers

The given functions (a) to (d) do not have square roots and do not have denominators.

Hence, all functions have the set of real numbers as their domain

11. x2 + x + 9 = 20
Solve equation using the quadratic formula write in irrational solutions in simplest radical form

Answers

problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number

problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3

problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2

Which of the following situations are equal to 25%? 12 out of 60 3 out of 12 5 out of 20 9 out of 18 8 out of 32

Answers

Answer:

8/32;

Step-by-step explanation:

8/32 is equivalent to 1/4 which percentage is 25

The 7th term of the geometric sequence 13, 26, 52, 104, ... is

Answers

Answer:

832

Step-by-step explanation:

multiply the original number by 2, seven times.

The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?​

Answers

Answer:

No

Step-by-step explanation:

Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.

hope this helps!!!

HELP PLSSSSSS MATH :(

Answers

Answer:

1. (2,3)

2. (7,-2)

3. (-4,-1)

4. No solutions

Step-by-step explanation:

Solve using substitution or elimination.

An amusement park recently increased the cost of a family season pass. The original price was $150. The new price is $183. What was the percent of increase or markup?

Answers

Answer:

1.22%

Step-by-step explanation:

150 x 1.22 = 183

I need help with this question pls anybody?​

Answers

Answer:

The second one, the third one.

Step-by-step explanation:

Which graph represents the linear function y=1/5x-2​

Answers

Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

A small business is looking for rectangular warehouses to store extra merchandise. Warehouse A has an area of 6900 ft2. Warehouse B is half as wide and one-third as long. How many square feet is Warehouse B?

Answers

Answer:

The area of the warehouse B is 1150 square feet.

Step-by-step explanation:

Let [tex]x[/tex], [tex]y[/tex] are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:

[tex]A_{A} = x\cdot y[/tex] (1)

[tex]A_{B} = \left(\frac{1}{2}\cdot x \right)\cdot \left(\frac{1}{3}\cdot y \right)[/tex] (2)

Where:

[tex]A_{A}[/tex] - Area of the warehouse A, in square inches.

[tex]A_{B}[/tex] - Area of the warehouse B, in square inches.

If we know that [tex]A_{A} = 6900\,ft^{2}[/tex], then by (1) and (2) we have the following equation:

[tex]A_{B} = \frac{1}{6}\cdot A_{A}[/tex]

[tex]A_{B} = 1150\,ft^{2}[/tex]

The area of the warehouse B is 1150 square feet.

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?

Answers

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31


In Triangle EFG, the measure of angle G=90°, the measure of angle E=77°, and GE = 8 feet. Find the
length of EF to the nearest tenth of a foot.

Answers

Answer:

35.6

Step-by-step explanation:

rearrange the equation so X is the independent variable.
[tex] - 4x - 6 = 5y + 9[/tex]

Answers

Answer:

[tex]x=-1.25y-3.75[/tex]

Step-by-step explanation:

try adding 6 to both sides

-4x=5y+15

try dividing both sides by -4

x=-1.25y-3.75

Convert 7x - y = -9 to slope-intercept form. Simplify your answer.

Answers

It’s y = 7x + 9 in slope intercept form

7x - y = -9
-y = -9 - 7x
y = 9 +7x
y = 7x + 9

The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Equation of a line in Slope-intercept Form

If "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.

Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:

7x - y = -9

-y = -7x - 9

Divide both sides by -1

y = 7x + 9

Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Learn more about slope-intercept form on:

https://brainly.com/question/4074386

A produção mensal de uma Olaria é de 5.000 tijolos nesse mês alvará produziu 3925 tijolos quantos tijolos ainda falta para completar a produção mensal

Answers

Responda:

1075 tijolos

Explicação passo a passo:

Dado que:

Número de tijolos produzidos Mensalmente = 5.000 tijolos

A quantidade de tijolos produzidos por licença = 3925

O número de tijolos que ainda faltam no valor mensal desejado:

Quantidade de produção mensal - quantidade produzida por licença

5000 - 3925 = 1075 tijolos

A salesperson had $240, 000 in sales last year, which is 60% of the sales she had this year. Which equation could be used to determine x, the salesperson's total amount of sales, in dollars, for this year?

Answers

Answer: $400,000

Step-by-step explanation:

Let the salesperson's total amount of sales, in dollars, for this year be represented by x.

Therefore, 60% of x = $240,000

60/100 × x = $240,000.

0.6 × x = $240,000..

x = $240000 / 0.6

x = $400,000

Therefore, the salesperson's total amount of sales, for this year is $400,000.

In the class election for president, Savannah won by a ratio of 4:1. If Savannah's opponent had 56 votes, how many students voted in total?

Answers

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

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