The area of the sector formed by the arc of the circle is 14 square feet.
What is sector of the circle?A sector of a circle is a pie-shaped section of a circle formed by the arc and its two radii. A sector is formed when a portion of the circle's circumference (as well known as an arc) and two radii cross paths at both endpoints of a arc. A sector of a circle has the shape of a pizza slice or even a pie.
Two radii and an arc encircle a portion of a circle.A circle is divided into two segments which are referred to as minor sectors as well as major sectors.The major sector is represented by the larger portion of the circle, while the minor sector is represented by the smaller portion.Now, according to the question;
Length of a sector is estimated by the formula = ∅×r
where ∅ is the angle formed by sector in radians and r is the radius of the circle.
Thus,
∅ = Length of a sector/r
The radius is r = 7 ft
The value of length of a sector = 4 ft
∅ = 4/7
∅ = 0.57 radians
Now, estimate the area of the sector.
area of a sector = (∅/2)×r²
Substituting the values.
area of a sector = (4/7/2)×7²
= (4/14)×49
area of a sector = 14 ft²
Therefore, the area of the sector is calculated as 14 ft².
To know more about the sector of the circle, here
https://brainly.com/question/22972014
#SPJ4
The complete question is-
In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is . The area of the sector formed by the arc is square feet. Assume π = 3.14, and round your answers to the nearest hundredth.
Help plzzzzz!!!:) I’ll make you brainlest:)
Answer:
3r/s
Step-by-step explanation:
Mrs. Drew wants to build a square sandbox with an area of 49 square feet. What is the total length of wood Mrs. Drew needs to make the sides of the sandbox?
Answer:
52 feet of wood is required to make the sides of the square sandbox.
Step-by-step explanation:
Answer:
get one side of the square by getting the square root of 49.
Step-by-step explanation:
S*S=area.
[tex] \sqrt{49} [/tex]
=7. 7*4=28feet
There are 2.54 centimeters in 1 inch. If a pencil is 18 cm long, how many inches is it? Round to the nearest whole number.
Answer:
7 Inches
Explanation:
2.54 Cm. In One Inch.Pencil Is 18 Cm LongDivide:
18 ÷ 2.54 = 7.08661417323
Round:
7
- PNW
Mount Evans in Colorado reaches a height of 14,265 feet above sea level. Mount Boulder in Utah reaches a height of 11,316 feet above sea level. Which statement can be used to show that Mount Boulder is smaller than Mount Evans?
11,316 ft ≥ 14,265 ft
11,316 ft = 14,265 ft
11,316 ft 14,265 ft
Answer:
11,316 < 14,265
Step-by-step explanation:
< Smaller than Mount Evans
> Bigger than Mount Evans
= Same size as Mount Evans
< Less than or equal to the size of Mount Evans
> Greater than or equal to the size of Mount Evans
Pls be right will give brainliest
Answer:
The answer is D.
Step-by-step explanation:
Im not sure what to do
Answer:
[tex]h(-1)=\frac{-2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
[tex]h(x)=\frac{2x-6}{4x^2+8}[/tex]
h(-1) is x = -1
Step 2: Evaluate
Substitute: [tex]h(-1)=\frac{2(-1)-6}{4(-1)^2+8}[/tex]Exponents: [tex]h(-1)=\frac{2(-1)-6}{4(1)+8}[/tex]Multiply: [tex]h(-1)=\frac{-2-6}{4+8}[/tex]Subtract: [tex]h(-1)=\frac{-8}{4+8}[/tex]Add: [tex]h(-1)=\frac{-8}{12}[/tex]Simplify: [tex]h(-1)=\frac{-2}{3}[/tex]which equation represents the line shown on the
Answer:
A
Step-by-step explanation:
y-int = -2
so the line should cross (0, -2)
Rise over run is 2/5 so go up 2, over 5 and put your dot etc...
I need help with this, plz help
Answer:
<AFB
Step-by-step explanation:
Two dice are tossed. If the first die shows 4, what is the probability that the second die shows even ?
Answer:
There's a 1/6th chance it'll be tied up.
Step-by-step explanation:
A dice has six sides. One of these sides has 4 dots.
Answer:
2/3 or 1/6
Step-by-step explanation:
Because a die has six sides. So you have six chances to get a 4 again.
Please help me as soon as possible!! please somebody with the correct answer please!
Answer: -0.6
Step-by-step explanation:
Can someone answer this plz
Answer:
slope is 4x
y intercept is (0,6)
equation is y=4x+6
Step-by-step explanation:
don't know what proportional means with graphs
Plssssss help me I don’t understand this!!!
Answer:
D. 375
Step-by-step explanation:
this is the answer because the distance you need to travel doesn't change based off the amount of gas you have
Several friends compared their bank account balances. Current Account Balance Name Checking account balance Zöe $10.98 Yvette –$11.32 Xavier –$11.71 Wyatt $11.75 Vern $10.89 Which list shows the people in order of the least bank balance to the greatest bank balance? Vern, Zöe, Yvette, Xavier, Wyatt Xavier, Yvette, Vern, Zöe, Wyatt Yvette, Xavier, Vern, Zöe, Wyatt Wyatt, Zöe, Vern, Yvette, Xavier
Answer:
A. Vern, Zöe, Yvette, Xavier, Wyatt
Step-by-step explanation:
Zöe $10.98
Yvette –$11.32
Xavier –$11.71
Wyatt $11.75
Vern $10.89
Arrange from the least bank balance to the greatest bank balance
Vern $10.89
Zöe $10.98
Yvette –$11.32
Xavier –$11.71
Wyatt $11.75
Which list shows the people in order of the least bank balance to the greatest bank balance?
A. Vern, Zöe, Yvette, Xavier, Wyatt
B. Xavier, Yvette, Vern, Zöe, Wyatt
C. Yvette, Xavier, Vern, Zöe, Wyatt
D. Wyatt, Zöe, Vern, Yvette, Xavier
Answer:
Vern, Zöe, Yvette, Xavier, Wyatt A
Step-by-step explanation:
I took the test :)
5 = 2m − 5
How do you solve for M
Help pleaseeeeeeeeee
the faces of a 10-sided die are numbered 0 through 9. a. if the die is rolled, what is the probability that the value of the roll is a prime number? b. what is the expected value of the roll? c. if the die is rolled twice, what is the probability that the same number is obtained both times?
If the die is rolled then the probability of the roll is a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]. The probability that the same number would appear twice on the dice is [tex]0.01[/tex], and the expected value of the roll is [tex]5.5[/tex].
How would you define expected value?Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis. The anticipated value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen. Find the anticipated value by [tex]E(X)[/tex]. Simply multiply each value of the discrete random variable by its probability, then add the results to get the value, or mean, of the random variable. The equation is provided as [tex]E(X)[/tex]=μ=Σ[tex]XP(X)[/tex]. Expected value is calculated by multiplying each outcome's value by the probability.
Total Number of outcomes is [tex]10[/tex]. And the number of prime number is [tex]4 \ \ i.e.\ (2,3,5,7)[/tex]. So the probability of a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]
The expected value is ×[tex]XP(X)= 0*\frac{1}{10}+1 * \frac{1}{10} + 2*\frac{1}{10} +3*\frac{1}{10} +4*\frac{1}{10} +5*\frac{1}{10} +6*\frac{1}{10} +7*\frac{1}{10} +8*\frac{1}{10} +9*\frac{1}{10} \\ =0+\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10}+\frac{5}{10}+\frac{6}{10}+\frac{7}{10} +\frac{8}{10}+\frac{9}{10} \\ =\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{55}{10}=5.5[/tex]
If the dice is rolled twice the probability that the same number is obtained is [tex]\frac{1}{10}*\frac{1}{10}=\frac{1}{100}=0.01[/tex]
To learn more about Expected value (EV), click here:
https://brainly.com/question/13945225
#SPJ4
help me please........
Step-by-step explanation:
a : (-6 , -8)
b: (6 , 8)
I used desmos for the problems
Question 9 PLZ HELP FAST ILL GOVE BRAINLIST AND EXTRA MALE SURE TOU EXPLAIN YOURSELF
Answer:
C
Step-by-step explanation:
the unit right below yards is ft so we can mark out A
we also know that there are 3 feet in 1 yard and that in order for the unit yard to cancel out, the 1 yard needs to be the denominator to 3 feet, so we can mark out D
the unit right below feet is inches and we know that there are 12 inches in one foot, so we can mark out B
this leaves us with C
The school is 4000 meters from Jim house how many kilometers is this
Answer:
A
Step-by-step explanation:
Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?
Answer:
$850×5.7/100=48.45
850+48.45=898.45
898
Answer: 1197
Step-by-step explanation:
How do I solve and respond to this question?
Answer:
i think its 6 and 8
Step-by-step explanation:
sorry if i get it wrong
can you tell me if it is right or wrong
PLEASE ANSWERR CORRECTLY!!!!!!!!
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!!!!!!!
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
A) $1.08
B) $1.50
C) $41.50
D) $83.00
PLEASE ANSWER CORRECTLY!!!!!!!!
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B) $1..50
Step-by-step explanation:
First, how many trading cards did Naveen have?
87 + 9 - 16 + 3 = 83
$124.50 / 83 = $1.50
Quadratic
3p^2−7p−1=0
Answer:
[tex]x=\frac{7\pm\sqrt{61} }{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
3p² - 7p - 1 = 0
Step 2: Identify Variables
a = 3
b = -7
c = -1
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{7\pm\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]Evaluate Exponents: [tex]x=\frac{7\pm\sqrt{49-4(3)(-1)} }{2(3)}[/tex]Multiply: [tex]x=\frac{7\pm\sqrt{49+12} }{6}[/tex]Add: [tex]x=\frac{7\pm\sqrt{61} }{6}[/tex]Answer:
x = 7 + √61 ÷ 6
Step-by-step explanation:
3p² - 7p - 1 = 0 is a given equation
3p² - 7p - 1 = 0
Here,
a = 3
b = - 7
c = - 1
Now, Discriminant
D = b² - 4ac
= (- 7)² - 4 (3)(- 1)
= 49 + 12
D = 61 > 0
So, Quadratic Equation
ax² + bx + c = 0
x = - b ± √b² - 4ac ÷ 2a
x = - (- 7) ± √(- 7)² - 4 (3)(- 1) ÷ 2(3)
x = 7 ± √61 ÷ 6
x = 7 ± √61 ÷ 6
x = 7 + √61 ÷ 6 or x = 7 - √61 ÷ 6
∴ Not real Value
Thus, The real value of x is 7 + √61 ÷ 6
-TheUnknownScientist
a dozen cookies shared among 15 children. If each child receives the same amount of pizza, how much will each child get?
Both pyramids in the figure have the same base area as the prisme
The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is 1/3.
How to calculate the ratio?The volume of a pyramid is (1/3) (base area) (height)
Volume of the lower pyramid = (1/3) (base area) (height) Volume of the upper pyramid = (1/3) (basearea × height)
The combined volume of both pyramids = (2/3) × (base area) (height) .
Their base area is (length x width) of the prism, and their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
Learn more about pyramid on:
https://brainly.com/question/218706
#SPJ1
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is
30 P O I N T S H U R R Y
Answer:
1 1/2
Step-by-step explanation:
I think
Answer:
1 1/14
Step-by-step explanation:
same denominator so, 10+11 = 21,
simplified, 1 1/14
What is the slope of the line ?
O 1/4
O 8/17
O 4
O 6
help me solve this.
Answer:
A' (-1,2), B' (-5,-3), C' (3,2)
Step-by-step explanation:
Reflect triangle ABC across the y-axis.
Ry-axis: (x,y) → (-x,y)
A (1,2) → A' (-1,2)
B (5,-3) → B' (-5,-3)
C (-3,2) → C' (3,2)
I hope this helps :)
Answer:
this the season to be jolly falalalalaaaa la la la la
4x-5=x-1+3x I need help
Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4x - 5 = x - 1 + 3x
Step 2: Solve for x
Combine like terms: 4x - 5 = 4x - 1Subtract 4x on both sides: -5 ≠ -1Here we see that -5 does not equal -1.
∴ This equation has no solutions.
15 points!
identify the slope of the line given in the table: __ identify the slope of the line given in the graph: __ which linear function has a negative slope? ___ which linear function has the steeper slope? ___
Are you sure you didn't have an image to go along with this? Cause this is very unclear...
Answer:
a) -3/2
b) 2/3
c) table
d) table
Step-by-step explanation: