Answer:
≈ 18.3 m²
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of sector - area of right triangle
area of sector = area of circle × fraction of circle
A = πr² × [tex]\frac{90}{360}[/tex]
= π × 8² × [tex]\frac{1}{4}[/tex] = 64π × [tex]\frac{1}{4}[/tex] = 16π m²
area of triangle = [tex]\frac{1}{2}[/tex] × 8 × 8 = 4 × 8 = 32 m²
shaded area is then
A = 16π - 32 ≈ 18.3 m² ( to the nearest tenth )
Find the value of x for this trapezoid.
At a local coffee shop, three coffees and two muffins cost a total of $7.00. Two coffees and four
muffins cost a total of $8.00. How much would six cups of coffee and 1 muffin cost?
Answer:
$10.25
Step-by-step explanation:
Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins
To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations
-6c - 4m = -14
2c + 4m = 8 notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6
so we have -4c = -6 so c = $1.50
To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so
4.5 + 2m = 7, 2m = 2.5, so m = $1.25
So now solve the final problem 6(1.50) + 1(1.25) = $10.25
Which quadrilaterals are considered parallelogram
Answer: Rectangle, Rhombus, Square
Step-by-step explanation:
WILL GIVE BRAINLIST
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio. Enter your answer to 5 decimal places if necessary. Use a calculator.
−30, 6, −1.2, ...; 5th term
The 5th term of the sequence is
Answer:
-0.048
Step-by-step explanation:
-30 * -1/5 = 6
6 * -1/5 = -1.2
(Remember -30 is first term so we subtract 1 from 5 in the exponent)
-30 * (-1/5)^4 = -0.048
Which property is shown In the matrix addition above?
A. Inverse Property
B. Identity Property
C. Commutative Property
D. Associative Property
Answer :
Identity Property.
Step-by-step explanation:
Two matices are given to us , which are ,
Let A = [tex]\left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] [/tex] .
Let B = [tex]\left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right] [/tex] .
Here since all the elements of Matrix B are 0 , its a null matrix . Hence adding any matrix to it will give the same matrix which is added . This property is called as Identity Property .
Adding both A and B ,
[tex]\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] + \left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right] [/tex]
[tex]\implies A + B = \left[ \begin{array}{ccc} ( 6+0) & (-8+0) & (1+0) \\ (0+0) & (-2+0) & (-19 + 0 ) \end{array}\right] [/tex]
[tex]\red{\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] }[/tex]
Hope it helped !
Answer:
b. identity property
Step-by-step explanation:
EDGE 2021 AQR QUIZ
part 3 of coordinate planes, please help if you know it :)
Answer:
s
Step-by-step explanation:
Tha answer is s
A motorist drives 146km at a certain speed. She then increase this speed of by 19km/hr and take the same time to travel the next 16km. Find her speed for both part of the journey. Pleaseeeeeeeeeeee helpppppppppppp
Step-by-step explanation:
A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.
find her speeds for both parts of the journey.
:
let s = his original speed
then
(s+9) = the increased speed
:
Write a time equation; time = dist/speed
146%2Fs = 164%2F%28%28s%2B9%29%29
cross multiply
164s = 146(s+9)
164s = 146s + 1314
164s - 146s = 1314
18s = 1314
s = 1314/18
s = 73 km/h is his original speed
:
» Which shape is a parallelogram with 4 right angles?
Answer:
rectangle
Step-by-step explanation:
Answer: Rectangle
Step-by-step explanation: Hope this helps ! :)
Find the distance between the points (5,6) and (-10,-6)
Write your answer as a whole number or a fully simplified radical expression. Do not round.
Answer:
ugghhh I think it's a ughhh carrot
Find the sum of the arithmetic sequence
-10, -7, -4, -1, 2, 5, 8
Rex is six times older than its sibling Spike. Rex's mother dino is ten times older than Rex. Rex's father dino is twice as old as Rex's mother. The sum of all the ages of the members of dino's family adds up to granduncle dino's age. The granduncle dino had just turned thousand years old the day the meteors hit the planet. How old was Rex when it became a fossil into the nearest Whole number?
Answer:
30 years
Step-by-step explanation:
Let :
Spike's age = x
Rex age = 6x
Rex mother = 10 * 6x = 60x
Rex father = 2 * 60x = 120x
x + 6x + 60x + 120x = 1000
187x = 1000
x = 1000/ 187
x = 5.34
Hence, Spike's age, x = 5 years
Rex age = 5 * 6 = 30 years
Make W the subject of the formula.
y-aw=2w-1
Please help.
Answer:
w=(y+1)/(2+a)
Step-by-step explanation:
Answer:
w=(y+1)/(2+a)
first you isolate w because u have to make 'w' the subject and bring all the value with w to one side of the equation and start eliminating those values then u will end with w as the subject
help will be very appreciated :)
Answer:
1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees
Step-by-step explanation:
since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.
PLS HELP!! Find the product or type
“impossible"
[2 8 1 , 0 5 -2]
[5 2 1]
Answer:
Step-by-step explanation:
For the multiplication of two matrices, number of columns in 1st matrix should be equal to the number of rows of the 2nd matrix.
In the given question,
1st matrix → [tex]\begin{bmatrix}2 & 8 & 1\\ 0 & 5 & -2\end{bmatrix}[/tex]
Number of columns in this matrix = 3
2nd matrix → [5 2 1]
Number of rows in this matrix = 1
Therefore, number of columns in 1st matrix are not equal to the number of rows in the 2nd matrix.
Therefore, multiplication of matrices given in the picture is "Impossible".
Answer:
impossible
Step-by-step explanation:
accellus
Matthew is going to shop rite with $15.He brought a package of croissants for $1.99.The cost of a box of Digiorno pizza is $4.00. What is the maximum number of digiorno pizzas can he buy?
Answer:
he would only be able to buy 2 boxes of pizza
Step-by-step explanation:
Subtract $1.99 from the $15 he has.
$15 - $1.99 = $13.01
Divide $13.01 by $4.00
$13.01/$4.00 = 3.25
There is a decimal in the final answer which means its not a whole pizza. So, the max he would be able to buy is 2 bokes of pizza
Which of the following fractions represents the product? HELP ASAP will mark brainly
Answer:
maybe A
Step-by-step explanation:
total number of boxes = 12
total number of green boxes = 5
= 5/ 12
Answer:
i did this the answer is C
Step-by-step explanation:
What is sin 74°?
HELPPO
A certain psychological test measures empathy and emotional intelligence. The score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29. The score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.
Suppose we randomly select one senior student and one first-year student.
Calculate the mean of the difference D = S – F.
μD = 17.7482
μD = 19
μD = 44.6878
μD = 227
Answer: The answer is 19
Step-by-step explanation: EDGE2020
The mean of the difference D = S - F is 19, which is the correct option (B).
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
To calculate the mean of the difference D = S - F, we need to find the expected value of the difference between two random variables, one representing the scores of senior students and the other representing the scores of first-year students.
Here,
μS = 123
μF = 104
The mean of the difference is the difference of the means, so we have:
μD = μS - μF
μD = 123 - 104
μD = 19
Therefore, the mean of the difference D = S - F is 19.
Learn more about the standard deviation here:
brainly.com/question/16555520
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An angle measures 2° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
44 degrees and 46 degrees.
Step-by-step explanation:
Answer:
91 and 89 is the answer.
The price per night for a hotel room is different at three different hotels. Hotel Nights Price (in dollars) A AA 3 33 192 192192 B BB 5 55 300 300300 C CC 7 77 455 455455
Answer:
Hotel B is the least expensive
Step-by-step explanation:
Given
See attachment for clear details
Required
The least expensive
To do this, we simply divide the total cost by the number of nights to get the unit price
i.e.
[tex]Unit = \frac{Price}{Nights}[/tex]
Hotel A
[tex]Nights = 3\\Price= 192[/tex]
[tex]Unit = \frac{192}{3}[/tex]
[tex]Unit = \$64[/tex] per night
Hotel B
[tex]Nights = 5\\Price= 300[/tex]
[tex]Unit = \frac{300}{5}[/tex]
[tex]Unit = \$60[/tex] per night
Hotel C
[tex]Nights = 7\\Price= 455[/tex]
[tex]Unit = \frac{455}{7}[/tex]
[tex]Unit = \$65[/tex] per night
From the calculations above;
Hotel B is the least expensive because 60 is less than 64 and 65
Raul is cutting boards for a project. He has a board that measures 8 feet and is cutting it into 3/4 foot pieces. How many whole pieces of 3/4 foot will he be able to cut?
Answer:
10
Step-by-step explanation:
1 board = 3/4 foot = 0.75 of a foot
x boards = 8 feet
1/x = 0.75 / 8 feet Cross multiply
0.75 x = 8 Divide both sides by 0.75
x = 8/0.75
x = 10 2/3 boards.
We are told to throw the fractional board away so Raul will get 10 pieces from an 8 foot piece of lumber.
aiudaaaa pliis
cuanto es 20 = 6 - 5x con explicacion por favor
Does anyone know this? If you do can you please help me?
Answer:
-2x > 30x < -15Step-by-step explanation:
A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...
-2x
You want that product greater than 30. The symbol for "greater than" is >, so you have ...
-2x > 30 . . . . the desired inequality
__
The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."
x < 30/(-2)
x < -15 . . . . . . the desired solution
_____
Additional comment
It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.
Consider ...
1 < 2
-1 > -2
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=−3.
x=−4, y=−6
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=−3.
x=−4, y=−6
Answer:
xy-3x=40, x=5
x(y-3)=40
y-3=(40/x)
y=(40/x)+3
y=(40/5)+3
y=8+3
y=11
If the variables x and y vary inversely then when x=-3 and y =-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Since x and y vary inversely, we can write the equation:
x y = k, where k is a constant of variation.
Using the given values, we can find k:
(-4)(-6) = k
k = 24
So the equation relating x and y is:
x y = 24
To find y when x = -3, we substitute x = -3 into the equation and solve for y:
(-3) y = 24
y = -8
Therefore, when x = -3, y = -8.
To learn more on Equation:
https://brainly.com/question/10413253
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Please help;due today
Answer:
148 degrees
Step-by-step explanation:
360 - 74 - 138 = 148 degrees
What is the solution set of the equation x2 + 3x - 4 = 6?
A.
{-5, 2}
B.
{-2, -1}
C.
{2, 7}
D.
(5, 10)
helpppppppppppp plzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}7&31\\142&19\end{array}\right][/tex] = 7(19) - 142(31) = - 4269
[tex]\left[\begin{array}{ccc}7&11&21\\55&-8&2\\-16&-1&-9\end{array}\right][/tex] = 7(- 8)(- 9) + 11(2)(- 16) + 21(55)(- 1) - 21(- 8)(- 16) - 7(2)(- 1) - 11(55)(- 9) = 1768
[tex]\left[\begin{array}{ccc}9.07&6.02&2.01\\-30.7&2.5&3.5\\3.55&-1.1&2.35\end{array}\right][/tex] = 9.07(2.5)(2.35) + 6.02(3.5)(3.55) + 2.01(- 30.7)(- 1.1) - 2.01(2.5)(3.55) - 9.07(3.5)(- 1.1) - 6.02(- 30.7)(2.35) = 647.3561
Answer:
I think it’s 6.7
Step-by-step explanation:
Sup I’m a friend….so hey✌️
If y is directly proportional to Vx, and y = 25 when x = 3, find x when
y = 100
9514 1404 393
Answer:
x = 48
Step-by-step explanation:
It looks like your proportion is ...
y = k√x
Then k can be found as ...
k = y/√x = 25/√3
__
For y = 100, the value of x can be found from ...
100 = (25/√3)√x
4√3 = √x . . . . . . . . . . multiply by √3/25
48 = x . . . . . . . . . . . . . square both sides
I NEED HELP!!!!! ASAP!!!!!
Answer: 127 11/12
Step-by-step explanation:
1. 1/2 + 3/4 = 2/3
Change 1/2 by by multiplying by 2 to get a common denominator of fourths.
2/4 + 3/4 = 2/3?
5/4 = 2/3?
no
2. 5/8 - 1/4
Change 1/4 by by multiplying by 2 to get a common denominator of eighths.
5/8 - 2/8 = 3/8?
3/8 = 3/8 ?
yes
3/8 x 10 = 30/8
3. 4/5 +7/10 = 1 1/2
Change 4/5 by multiplying by 2 to get a common denominator tenths.
8/10 + 7/10 = 1 1/2?
15 /10 = 1 1/2?
yes
1 1/2 x 10 = 25
4. 2 1/3 - 1 5/6 = 1/6
Change 1/3 by multiplying by 2 to get a common denominator sixths.
2 2/6 - 1 5/6 = 1/6?
3/6 = 1/6
no
100 -2/3 - 1/6 + 30/8 + 25
multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.
100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24
create mixed number
127 22/24
reduce
127 11/12
All exponential functions can be written in many forms. Write the function f(t)=110(1.35)^{\frac{t}{40}}f(t)=110(1.35) 40 t in the form f(t)=ae^{kt}f(t)=ae kt . Round all coefficients to four decimal places.
Step-by-step explanation:
Given - f(t)=110(1.35)^{\frac{t}{40}}
To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients
to four decimal places.
Proof -
Given that , the function is f(t)=110(1.35)^{\frac{t}{40}}
Now,
We can write it in the form of [tex]f(t) = 110(1.35)^{\frac{t}{40} }[/tex]
By comparing with the form [tex]f(t) = ae^{kt}[/tex] , we get
a = 110.0000
k = [tex]\frac{1}{40}[/tex] = 0.0250