Answer:
28.26 ft²
Explanation:
[tex]\sf area \ of \ circle = \pi r^2[/tex]
Here given diameter: 6 ft
radius: d/2 = 6/2 = 3 ft
========
area of rug:
[tex]\dashrightarrow \ \pi (3)^2[/tex]
[tex]\dashrightarrow \ 9\pi[/tex]
[tex]\dashrightarrow \ 9(3.14)[/tex]
[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]
Answer:
[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
Step-by-step explanation:
Step-1) Determine the radius of the rug:
Given diameter: 6 feet
⇒ [tex]\text{Diameter = 2(Radius)}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \text{Radius}[/tex]Substitute the diameter to obtain the radius of the rug.
⇒ [tex]\frac{6}{2} = \text{Radius}[/tex]⇒ [tex]\text{3 feet = Radius}[/tex]Step-2) Find the area of the rug by substituting the radius in the formula:
Area of circular rug = πr²
= [tex]\pi (3)^{2}[/tex]
= [tex]\pi (3)(3)[/tex]
= [tex]\pi(9)[/tex]
Substituting π as 3.14 (Stated in comments):
= [tex](3.14)9[/tex]
= [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If 1564 people attending the game supported the home team, what was the total number of people attending the game?
The total number of people attending the game is 1700.
What is Percentage?Percentage in simple terms can be defined as a part per 100.
Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.
If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.
Percent of people supporting the home team = 92%
Number of people supporting the home team = 1564
Let x be the total number of people attending the game.
⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92
⇒ [tex]\frac{1564}{x}[/tex] = 0.92
⇒ x = [tex]\frac{1564}{0.92}[/tex]
⇒ x = 1700
Hence, the total number of people attending the game will be 1700.
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What is the greatest common factor of 6x^2+18x-36
Answer:
6
Step-by-step explanation:
What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?
2 must be factored from 2x – 7
–4 must be factored from –4x2 + 2x
x must be factored from –4x2 + 2x
–4 must be factored from –4x2 – 7
Answer:
–4 must be factored from –4x2 + 2x
Hi Please help!
Identify the RATE OF CHANGE and INITIAL VALUE from ONE of the equations listed.
A. y = 3x + 6
B. y = -7x + 5
C. y = 9x + 4
Answer:
C
Step-by-step explanation:
pls tell me if im right or wrong
Can you factor -8x²=2x-3
Jason customizes and sells water bottles. He must sell each water bottle for less than $15, otherwise then nobody may buy them. Which number line represents all the possible prices for which Jason could sell a water bottle and make a profit?
Answer:
i cant really tell because there is no real explannation
Step-by-step explanation:
What is the value of
-8(17-12)
—————
-2(8-(-2)
-4
-2
2
4
Answer:
4
Step-by-step explanation:
smart
Help me find the answer to this area of a kite problem
Answer:
Below in bold.
Step-by-step explanation:
Area of a kite = 1/2 * D1 * D2 were D1 and D2 are the 2 diagonals
D1 = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9
So area = 1/2 * 7.5 * 9
= 33.75.
Answer:
33.75 Ft
Step-by-step explanation:
(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2
Find the area of the figure.
12 mm
6 mm
5 mm
CAN SOMEONE PLS HELPP
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = -5x + 4
y = -1/5 x + 2
y = 1/5 x - 4
Answer:
1st option
Step-by-step explanation:
Check out the attached photo
A Magic 8 Ball has the diameter of 5" how much space is occupied by the water round to the nearest 10th(PLEASE ANSWER PLEASE)
Answer:2.4 isn’t occupied, whilst 13.3 is full
Step-by-step explanation: answerrr
A bakery had 14 bran muffins, 19 banana muffins, and 23 pumpkin muffins left at the end
of the day. The leftover muffins were placed into boxes of assorted muffins. There were
8 muffins in each box. How many boxes of assorted muffins were there?
Determine if these statements are correct. Select True or False.
. To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False
Answer:
(I put the answers in bold)
To solve, add first, and then divide.
O True O False
To solve, divide first, and then add.
O True O False
There were 7 boxes of assorted muffins.
O True O False
There were 8 boxes of assorted muffins.
O True O False
This is a one-step division problem.
O True O False
Step-by-step explanation:
To get the answer I added all the numbers to get fifty-six and divided it by eight to get seven.
How many lines of symmetry does the following figure have?
1
3
4
5
Answer:
1
Step-by-step explanation:
It has 1 lines of symmetry
Hopes this helps
#ViolentJax
Select all the decimals that round to 40 when they are rounded to the tens place.
a) 42.59
b) 37.155
c) 45.78
d) 45.167
e) 34.989
Answer:
A. 42.59
B. 37.155
Step-by-step explanation:
I used a round calculator by the way
solve for X: x = −b ± √b²-4ac/2a
two correct answers :
x = -2c
or
x = -2b - 2c
7. Instructions: Find the missing side of the triangle.
Answer:
50²-30²=x²
2500-900=1600
√1600= 40
x=40
Help me please I do not understand this assignment
Answer:
Step-by-step explanation:
Equation: y = 20x
y = # of gallons
x = minutes
6.
So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:
x = 0 mins:
y = 20x
y = 20(0)
y = 0 gallons
(0, 0)
x = 1 min.
y = 20x
y = 20(1)
y = 20 gallons
(1, 20)
x = 2 mins.
y = 20x
y = 20(2)
y = 40 gallons
(2, 40)
x = 3 mins.
y = 20x
y = 20(3)
y = 60 gallons
(3, 60)
x = 4 mins.
y = 20x
y = 20(4)
y = 80 gallons
(4, 80)
7. View the attached graph
8. Predict the amount of water in the tank after 6 mins.
We use the same equation, y = 20x for this question
y = 20x
y = 20(6)
y = 120 gallons
(6, 120)
8. Linear ==> straight line
Non-linear ==> anything other than a straight line (curved line)
As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.
Hope this helps!
A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?
Answer:
A. 840 miles
B. 14 miles per gallon
Step-by-step explanation:
A. 14 mi. per gal. x 60 = 840 miles
B. 350 mi./25 gal. = 14 miles per gallon
hope this helps :)
1. The truck can travel 840 miles on 60 gallons of gas.
2. The truck's gas mileage is 14 miles per gallon.
What is Proportion?Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.
a) We have, 25 gallons of gas corresponds to 350 miles.
Let's set up the proportion:
25/350 = 60/x
25x = 350 (60)
25x = 21,000
x = 21,000 / 25
x = 840
Therefore, the truck can travel 840 miles on 60 gallons of gas.
b) The truck can travel 350 miles on 25 gallons of gas.
Gas mileage = Distance / Gas consumed
Gas mileage = 350 miles / 25 gallons
Gas mileage = 14 miles per gallon
Therefore, the truck's gas mileage is 14 miles per gallon.
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A
group of friends were working on a student film that had a budget of $1300.
They spent all their budget on equipment and props. They used 55% of their
budget on props. How much money did they spend on equipment?
Hello Brainilest Brains, I was wondering what 87x72 is. Please say the answer in the answer section below. Thanks for the help!
Answer:
6,264
Step-by-step explanation:
Answer:
6264
Step-by-step explanation:
72 x 8 = 576
576 x 10 = 5760
72 x 7 = 504
5760 + 504
6264
i need help with this question!!
i do not know this answer
We know that 2+2 is 4.
34 - 4 is 30.
Therefore, the legnth, a, is half of thirty.
30/2 = 15
a = 15
[tex]\bf a= 15\;\; millimetetrs[/tex]
Step-by-step explanation:
perimeter: 34 millimetetrs
perimeter= [tex]\tt a+2+a+2=34[/tex]
[tex]\tt 2a+4=34[/tex]
[tex]\tt 2a+4-4=34-4[/tex] (Subtract 4 from both sides)
[tex]\tt 2a=30[/tex] (Simplify)
[tex]\tt \cfrac{2a}{2}=\cfrac{30}{2}[/tex] (Divide both sides by 2)
[tex]\tt a=15[/tex]
Therefore, a= 15 millimetetrs.
~
NEED HELP ASAP!!! 100 POINTS!!!!!!! look at pic
Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3
Step-by-step explanation:
the coordinates of the points are
(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )
consider the values of y
- 6, - 3, 0, 3, 6
there is a common difference between consecutive terms, that is
- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3
this indicates the sequence is arithmetic with recursive rule
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )
here d = 3 , then recursive formula is
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6
Can the numbers 24, 32, and 40 be the lengths of the three sides of a right triangle?
Answer:
no
Step-by-step explanation:
no
Yes
since the hypotenuese will be forty
24×24=576
32×32=1024
1024+576=1600
√40=1600 which makes YES be the correct answer
Math question correctly answer with good explanation. Please and thank you
Answer:
Step-by-step explanation:
===========================================================
Explanation:
The figure is an unfolded version of a pyramid, so it's placed as flat as possible.
The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.
Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.
So the total surface area is
BaseArea + LateralSurfaceArea = 49+70 = 119 square meters
How many scores does the line plot represent
Un diagrama de sectores se puede utilizar para todo tipo de variables, pero se usa frecuentemente para las variables cualitativas.
Los datos se representan en un círculo, de modo que el ángulo de cada sector es proporcional a la frecuencia absoluta correspondiente.
El diagrama circular se construye con la ayuda de un transportador de ángulos.
Ejemplo
En una clase de 30 alumnos, 12 juegan a baloncesto, 3 practican la natación, 4 juegan al fútbol y el resto no practica ningún deporte.
Solve the following: A)4x-1/2=x+7
B)3x+2=2x+13/3
(Please help)
Answer:
A) x = 2.5
B) x = 7/3
Step-by-step explanation:
A) 4x - 1/2 = x + 7
4x - x = 7 + 1/2
3x = 7.5
x = 7.5/3
x = 2.5
B) 3x + 2 = 2x + 13/3
x +2 = 13/3
x = 13/3 - 6/3
x = 7/3
I hope this helps!
Please help me solve this question
Shannon mistakenly mixed up angles A and B. Notice the side 9 is opposite angle B and not angle A.
She should replace every copy of uppercase A with uppercase B. Also, she should replace lowercase 'a' with lowercase b
This is what her steps should look like
[tex]\frac{\sin B}{b} = \frac{\sin C}{c}\\\\\frac{\sin B}{9} = \frac{\sin 125^{\circ}}{12}\\\\B= \sin^{-1}\left(\frac{9*\sin 125^{\circ}}{12}\right) \approx 37.9^{\circ}\\\\[/tex]
Then we can find angle A like this
[tex]A+B+C = 180\\\\A = 180 - B - C\\\\A \approx 180 - 37.9 - 125\\\\A \approx 17.1^{\circ}\\\\[/tex]
Angle A is approximately 17.1 degrees.
i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help
Answer: 176 cubic cm
Step-by-step explanation:
Formula for finding volume is l x w x h
The first rectangle on the bottom:
2 x 2 x 8 = 32
The second rectangle next to it:
3 x 6 x 8 = 144
Now add the two values to get the volume of the figure
144 + 32= 176
What is the distance between (-2, - 4) and (-2, – 8) ?
O 2 units
O 4 units
0 12 units
O I don't know.
4 units
hope it helps...!!!
Answer:4 units
8-4=4 wham bam yes ma'am
Step-by-step explanation: