Answer:
4.2
Step-by-step explanation:
It would be 8/2 which gets 4 and put the .2 4.2
Length of the arc of each slice of cake is equals to 5.024inches.
What is length of the arc?
" Length of the arc is defined as the distance between any two points as a part of the circumference of the circle."
Formula used
Length of the arc = radius × central angle of the arc
l = r × θ
According to the question,
Number of friends = 5
Diameter of the cake = 8inches
Shape of the cake is circular.
Therefore angle formed = 360°
Angle for each piece of cake = [tex]\frac{360}{5}[/tex]
= 72°
Radius of the cake = [tex]\frac{diameter }{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 inches
Substitute the value in the formula to get the length of the arc we get,
L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]
= 5.024inches
Hence, length of the arc of each slice of cake is equals to 5.024inches.
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Over what interval is the quadratic function decreasing?
x ∈ (−∞,−2)
x ∈ (-2,−∞)*******
x ∈ (-2, ∞)
x ∈ (−∞,3)
Answer:
x ∈ (-2,−∞)
Step-by-step explanation:
x ∈ (-2,−∞)
this is the answer to the question
Cierto individuo, al fallecer, repartió sus ahorros del siguiente modo; la mitad a
su esposa; el tercio a su único hijo; la décima parte a un sobrino, y dos millones
de nuevos soles a una beneficencia ¿cuánto poseía?
Answer:
El individuo poseía treinta millones.
Step-by-step explanation:
Podemos expresar la repartición del individuo como sigue:
[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]
Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).
Resolviendo la ecuación de arriba para "x" tenemos:
[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]
[tex] x = 30000000 [/tex]
Por lo tanto, el individuo poseía treinta millones.
Espero que te sea de utilidad!
HELP HELP HELP
Solve this
Answer:
What is the cos theta for, i would use sin to solve for theta and then we would get 41.25 degrees.
Step-by-step explanation:
Plsssss ans I am suffering
Help me with this answer I don’t it
Answer:
f(-2) = g(-2) this is the answer
I need help with this!
Answer:
1. y=5 x=1
2. y=4 x=4/5
3. y=2 x=2/5
Step-by-step explanation:
Plug the y-values in for y:
1. 5=5x
2. 4=5x
3. 2=5x
Then solve for x:
1. x=1
2. x=4/5
3. x= 2/5
Hope this helps!
How much is 12,856 ounces in pounds ?
Which diagram represents the hypothesis of the converse of corresponding angles theorem?
Answer:
the first diagram
Step-by-step explanation:
first one
Find the area of the following shape:
Answer:
36cm^2
Step-by-step explanation:
total area: 6x(4+3)=42
total area excluding the space: 42-(2x3)=36
Answer:
36 cm squared
Step-by-step explanation:
To solve this problem, I first construct a line. (shown in yellow in the first photo)
I then find the area of the top rectangle. (6 cm * 4 cm = 24 cm squared.)
Next, I find the area of the lower rectangle. But...to do that I have to find the length of the line that I constructed. To do this, I do 6cm-2cm=4cm.
Then I can find the area of the lower rectangle. (4cm*3cm=12cm squared.)
add up the area of both of the rectangles and.........12+24=36 cm squared
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
Given:
In the given circle, the measure of major arc TV is 220 degrees.
To find:
The measure of angle TUV.
Solution:
In a circle, the measure central angle of arc is equal to its corresponding arc measure and according to central angle theorem, the measure of subtended angle on an arc is half of the measure of central angle of that arc.
So, the measure of subtended angle is half of the measure of its corresponding arc.
[tex]m\angle TUV=\dfrac{1}{2}\times \text{Measure of major arc TV}[/tex]
[tex]m\angle TUV=\dfrac{1}{2}\times 220^\circ[/tex]
[tex]m\angle TUV=110^\circ[/tex]
Therefore, the measure of angle TUV is 110 degrees.
Complete the table of ordered pairs for the linear y=2x-8
Given:
Consider the below figure attached with this question.
The linear equation is:
[tex]y=2x-8[/tex]
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
[tex]y=2x-8[/tex]
Substituting [tex]x=0[/tex] in the given equation, we get
[tex]y=2(0)-8[/tex]
[tex]y=0-8[/tex]
[tex]y=-8[/tex]
So, the value for first blank is -8.
Substituting [tex]y=-2[/tex] in the given equation, we get
[tex]-2=2x-8[/tex]
[tex]-2+8=2x[/tex]
[tex]\dfrac{6}{2}=x[/tex]
[tex]3=x[/tex]
So, the value for second blank is 3.
Substituting [tex]x=2[/tex] in the given equation, we get
[tex]y=2(2)-8[/tex]
[tex]y=4-8[/tex]
[tex]y=-4[/tex]
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
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Question 12
Mr Espent 65% of his salary on household expenses, and 15% of the remainder on travelling expenses and was finally left with R9 500. How much was his salary?
Answer:
rs.1680.67
Step-by-step explanation:
His salary = x
remaining % = 100 - 65 = 35%
= 100 - 15 = 85%
x × 35/100 × 85/100 = 500
x = 1680.67
What is the reciprocal of tanB in the triangle below?
Right triangle A B C is shown. C is the right angle and side A B is the hypotenuse.
tanC
tanA
tan-1C
tan-1A
Answer:
Tan A
Step-by-step explanation:
Tan B = opposite / Adjacent = AC / BC
Reciprocal of Tan B = 1 ÷ Tan B
1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC
Reciprocal of Tan B = BC / AC
the reciprocal of tan B is equivalent to :
Tan A = opposite / Adjacent = BC / AC
Hence, the reciprocal of Tan B is Tan A
Answer:
Note: Images are not in order. Check page number on pictures to make sure you have the right Answer.
Have a Good Day! God bless!
Step-by-step explanation:
Question 6 “A”
Question 7 “D”
Question 8 “B”
Question 9 “B”
Question 10 “A”
Note: Answers From 1 to 5 in order here:
Question 1 “ B”
Question 2 “A”
Question 3 “B”
Question 4 “D”
Question 5 “D”
From 1929 through the early 1930s, the prices of consumer goods actually decreased. Economists call this phenomenon deflation. The rate of deflation during this period was about 7% per year, meaning that prices decreased by 7% per year. To get a sense of what this rate would mean in the long run, let's suppose that this rate of deflation persisted over a period of 20 years.
What would be the cost after 20 years of an item that costs $100 initially? (Round your answer to the nearest cent.)
$
Answer:
23.42
Step-by-step explanation:
If something is decreasing by 7% we can mulitply it by (1-.07) or .93
so our formula is
100(.93)²⁰= 23.42388737
which rounds to 23.42
Using the exponential decline function ; the cost of the item after 20 years would be $23.42
Recall :
[tex] y = A(1 - r)^{t} [/tex] y = final amount A = initial price = $100Rate, r = 7% = 0.07Time, t = 20yearsSubstitute the values into the equation :
[tex] y = 100(1 - 0.07)^{20} [/tex]
[tex] y = 100(0.93)^{20} [/tex]
[tex] y = 100(0.23423887366)[/tex]
y = $23.42
Therefore, the cost of the item after 20 years is $23.42
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Two workers paint lines for angled parking spaces
Answer:
2nd option
Step-by-step explanation:
The lines are parallel because the angles are congruent since they are Alternate exterior angles.
Write two rational and three irrational number that are between 3and 4
a)rational number :
1)(3+4 )/2
=7/2 =3.5
2)(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)10/3=3.33....
2)11/3=3.66....
......I hope it will help you. ..
Answer:
The real numbers, which can be represented by the ratio of two integer numbers, are called rational numbers, say P/Q where Q is not equal to zero.
The actual numbers that cannot be expressed as the two integer ratio are called irrational numbers.
Step-by-step explanation:
a)rational number :
1)
(3+4 )/2
=7/2 =3.5
2)
(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)
10/3=3.33....
2)
11/3=3.66....
3)
√13
Find the value of -6 + 8(-3) ÷ 4
please help me .
Answer:
-12
Step-by-step explanation:
cause from the rule
we should always solve from bracket so -3×8= -24
and -24/4= -6
and -6-6
= -12
Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.
Answer:
Ibrahim gets 5 fixed and 3.5 per hour.
Step-by-step explanation:
Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x, time in hours. Explain the formula.
Here, the fixed income is 5.
the income per hour is 3.5.
So, Ibrahim gets 5 fixed and 3.5 per hour.
What is the range of f(x) = 3X?
O A. All real numbers greater than 3
O B. All real numbers greater than or equal to 3
O C. All positive real numbers
O D. All real numbers
Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?
Answer:
67 mph
Step-by-step explanation:
201/3 = 67
Câu 1 (2 điểm). Cho hệ các vector
U = {(1,2,2); (0,-1,-1);(2,3,3);(1,0,0).
a) tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U
b) tìm tham số k để u=(2,3,k^2 +1) là một tổ hợp tuyến tính cảu W, và suy ra [u]w
giải hộ mình với
Answer:
Step-by-step explanation:
Consider a Poisson distribution with μ = 6.
a. Write the appropriate Poisson probability function.
b. Compute f (2).
c. Compute f (1).
d. Compute P(x≥2)
Answer:
a) [tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
b) f(2) = 0.04462
c) f(1) = 0.01487
d) [tex]P(X \geq 2) = 0.93803[/tex]
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of successes
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
In this question:
[tex]\mu = 6[/tex]
a. Write the appropriate Poisson probability function.
Considering [tex]\mu = 6[/tex]
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
b. Compute f (2).
This is P(X = 2). So
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
So f(2) = 0.04462
c. Compute f (1).
This is P(X = 1). So
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
So f(1) = 0.01487.
d. Compute P(x≥2)
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
Then
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803[/tex]
So
[tex]P(X \geq 2) = 0.93803[/tex]
In a bag of mini candy bars, 40% of the candy bars are Snickers. There are 120 Snickers in the bag. How many total mini candy bars are in the bag?
Answer:
The amswer is 48.
Step-by-step explanation:
120×0.40=48
Six consecutive numbers add up to a total of 69.what is the highest of these numbers?
Answer:
14
Step-by-step explanation:
9+10+11+12+13+14=69
The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]
Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]
Taking the sum :
[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]
[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]
Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]
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i need the answer fast please
Step-by-step explanation:
everything can be found in the picture
A group of 3 boys is sharing 4 small pans of rice krispie treats. What is the total amount of rice krispie treats each boy will get?
Answer:
each boy will get 1.33333333333 of a pan
Step-by-step explanation:
Answer:
Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating
Step-by-step explanation:
To find this you would take the numbers of pans (4) and divide it by the number of boys (3).
4 / 3 = 1.33333
HELP ME PLEASEEEEEEEEEEEEEE
Answer:
a
Step-by-step explanation:
Which rules of exponents will be used to evallate this expression? Select three options.
Find (x,y) such that (8,2)(x,y) = (28,22)
Answer:
(x,y) = (3.5, 11)
Step-by-step explanation:
(8,2)(x,y) = (28,22)
Dot product, so:
[tex](8,2)(x,y) = (8x,2y) = (28,22)[/tex]
Then
[tex]8x = 28[/tex]
[tex]x = \frac{28}{8} = 3.5[/tex]
And
[tex]2y = 22[/tex]
[tex]y = \frac{22}{2} = 11[/tex]
So
(x,y) = (3.5, 11)
N/A questions does not exist
Answer:
ok
Step-by-step explanation:
why did you put it
