The area of the sector of the given circle is: 40 units²
What is circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The set of all points on a plane that are a fixed distance from a center,
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
The circle is the shape with the largest area for a given length of perimeter.
Given the following:
r = 8
θ = 1.25 radians
Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)
Hence, the Area of sector = 40 units²
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please help!!!! been stuck on this for awhile now i’m so confused
Answer:
5π/6 to the right
π/6 to the right
can someone help please
9514 1404 393
Answer:
4. n = 4
5. P(A|B) = 0.75
Step-by-step explanation:
4. The coefficient of x will depend on n. The expansion is ...
(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)
So, the x-term of the expansion is ...
25(3/5nx) +(10nx)(1) = 25nx
The problem statement tells us that is 100x, so we have ...
25nx = 100x
n = 100x/(25x) = 4 . . . . . divide by the coefficient of n
The value of n is 4.
__
5. For the conditional probability formula, we need to know P(A∩B).
P(A∩B) = P(A) +P(B) -P(A∪B)
P(A∩B) = 0.5 +0.4 -0.6 = 0.3
Then the conditional probability is ...
P(A|B) = P(A∩B)/P(B) = 0.3/0.4
P(A|B) = 0.75
For which equation would x = 0 be a solution?
6x = 1/6
4x = -4
(7)x = 0
1,000x = 0.001
QUESTIONS:- For which equation would x = 0 be a solution?
ANSWER:- (7)x = 0
as 7x= 0
x=0 ANSWER
In a right angle triangle , the two shorter sides are 6cm and 8cm in length . What is the length of the longest side
Answer:
10 cm
Step-by-step explanation:
In a right triangle, there are three sides, A, B, and C.
A and B are the short sides, while C is the long side.
So we know that A = 6 cm, and B = 8 cm.
We can then use the Pythagorean theorem which states that
[tex]C=\sqrt{(A^2)+(B^2)[/tex]
Once we plug in the numbers we get
[tex]C=\sqrt{6^2+8^2}[/tex]
[tex]C=\sqrt{36+64}[/tex]
[tex]C=\sqrt{100}[/tex]
C=10 cm
Last question, so please help me out ASAP!
Answer:
5/18
Step-by-step explanation:
conditional probability formula:
A|B (a given b) = (A∩B)/(B)
so
Moderate|college (moderate given college)= (moderate∩college)/college
moderate∩college= 15
college= 11+15+28= 54
15/54= 5/18
I'll give brainliest to the best answer if you help me with the image down below!
Includes: an explanation please
Answer:
3 Pounds
Step-by-step explanation:
2.82 rounded to the nearest whole number is 3.
If we wanted to round 2.82 to 2, it would have to be 2.49 or less
NEED HELP FAST ILL MAKE BRAINLIEST
Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.
Explain the flaw in Jenna's reasoning.
Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.
Answer:
Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.
Please help meee I need this done ASAP
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
contrast how to graph x=2 and y=-4
Answer:
First of all, the x axis goes left to right while the y axis goes up to down.
Step-by-step explanation:
Please Help...I really need this, I dont understand???
Answer:
Decreased
Strong negative
Step-by-step explanation:
The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa
whats 3x+34+23y=
frezz
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
Find the ratio of sin (A)
Answer:
sin (A) = 8/17
Step-by-step explanation:
Sine = opposite/hypotenuse
Sin (A) = 16/34
Sin (A) = 8/17
Answer:
sin (A) = 16/34
Step-by-step explanation:
SOH (sine = opposite/adjacent)
.
The diagram shows a right-angled triangle.
11 cm
to
8 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answer:
x ≈ 43.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{11}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{8}{11}[/tex] ) ≈ 43.3° ( to 1 dec. place )
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
(4a+3b)(2a-5) expand
Answer:
6ab + 8a² - 15b - 20a
Step-by-step explanation:
Expand by using FOIL method
4(2a-5) + 3b(2a-5)
4a(2a) + 4a × -5 + 3b × -5
Simplify terms
8a² - 20a + 6ba -15b
6ab + 8a² - 15b - 20a
Math, math,math, hate it all year long
Answer:
the answer is $50.00
Step-by-step explanation:
okay so first u gave to subtract $80.00 from $430 u will get $350.00 then divide it by 7 and then you will get your answer
Answer:
ok
Step-by-step explanation:
What is infinity + infinity??
Answer:
Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.
Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.
Answer:
infinity + infinity = infinity
Step-by-step explanation:
Mark brainliest please :)
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
Pls answer……………………..
Answer:
Step-by-step explanation:
J and k are parallel if
angle 1 = angle 4 (vertically opposite angles)
angle 2 + angle 5 = 180 degree (being co interior angles)
angle 4 = angle 5 (being alternate interior angles)
angle 1 = angle 5 (being corresponding angles)
Answer:
2 and 5 are co - interior angles
1 and 3 are corresponding angles
1 and 4 are alternate
6 and 8 are corresponding angles
Step-by-step explanation:
the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation
Step-by-step explanation:
Given that,
The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.
Ratio notation is= 3:5:7
Frction notation,
Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]
Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]
Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]
Hence, this is the required solution.
18 2by5-4 1by10 find the difference
Given:
The expression is:
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
To find:
The difference.
Solution:
We have,
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
It can be rewritten as:
[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]
[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]
Taking LCM, we get
[tex]=\dfrac{184-41}{10}[/tex]
[tex]=\dfrac{143}{10}[/tex]
[tex]=\dfrac{140+3}{10}[/tex]
[tex]=14\dfrac{3}{10}[/tex]
Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].
Find x . Please and thank you
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]
Answer:
202
Step-by-step explanation:
360 - 60+50+48
360-158
= 202
Answer:
The answer would be 49
Step-by-step explanation:
Trust
A researcher asks participants to rate the tastes of three different cola drinks. The size, shape, and color of the drink cups are the same for each drink. In this study, the independent variable is __________, the dependent variable is __________, and an extraneous variable is __________. Group of answer choices drink cups, taste rating of cola drink, type of cola drink type of cola drink, drink cups, taste rating of cola drink type of cola drink, taste rating of the cola drink, drink cups drink cups, type of cola drink, taste rating of cola drink
Answer:
Independent variable - type of cola drink
dependent variable - taste rating of cola drink
extraneous variable - type of cola drink
Step-by-step explanation:
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The extraneous variable is the variable that is not been researched in the experiment but it has the potential to influence the results of the experiment.
The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.
the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good
14. Which is the first step in solving: X - 1/3 = 1/3 ?*
Answer:
Step-by-step explanation:
In this case "solving" involves isolating the variable, x, on the left side of this equation.
Starting with x - 1/3 = 1/3, we add 1/3 to both sides. This results in:
x = 1/3 + 1/3, or x = 2/3.
given a rectangular has a length of 58.5 m and widht of 45 m. Draw a diagram with scake if givrn scale drawing is 1 cm:9m
Answer:
In picture
Step-by-step explanation:
Brainliest please
