Answer:
Step-by-step explanation:
find the area of the shaded region. 27.8 in and 150 degrees
Answer: 57769.8 in²
Let A be the area of the shaded region
We have a relation that can help us calculate its area
A= 0.5*(θ-sin(θ))*r² where r is the radius and θ the angle
A= 0.5*(150-sin(150°))* 27.8² =57769.79≈57769.8 in²
Answer:
818.4
Step-by-step explanation:
Given the functions a(x) = 3x - 12 and b(x) = x-9, solve a[b(x)].
Oa[b(x)] = 3x²-21
O a[b(x)] = 3x² - 39
Oa[b(x)] = 3x - 21
Oa[b(x)] = 3x - 39
Answer:
Step-by-step explanation:
hello :
a(x) = 3x - 12 and b(x) = x-9, so
a[b(x)]=a(x-9) =3(x-9)-12
a[b(x)]=3x-9-12
a[b(x)]=3x+21
" alt="A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 2.5 and from 2.5 to 5."/>
The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.
On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.
This image can be visualized as follows:
0 1 2 3 4 5 6 6.5
|--------|--------|--------|--------|--------|--------|--------|
|------------------------|------------------------|
0 to 2.5 2.5 to 5
The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.
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Simplify and express the following as a rational number
\(( \frac { - 4 } { 3 } ) ^ { 8 } \div ( \frac { - 4 } { 3 } ) ^ { 12 }\)
Answer:
81/256
Step-by-step explanation:
(-4/3)^8 divide (-4/3)^12
= (-4/3)^8-12
= (-4/3)^-4
= (3/-4)^4
=81/256
Answer:
The answer is 81/256
Step-by-step explanation:
Help please and thanks! I always give brainliest! :)
Answer:
CD = 6.3Step-by-step explanation:
The triangles CED and CGF are similar since two sides are on same line and one side is parallel.
Corresponding sides have equal ratios:
CG/CE = CF/CDCG/CE = (CD - 1.8)/CD6/(6 + 2.4) = (CD - 1.8)/CD6/8.4 = (CD - 1.8)/CD1/1.4 = (CD - 1.8)/CD1*CD = 1.4CD - 1.4*1.80.4CD = 2.52CD = 2.52/0.4CD = 6.3What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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7
Are the two triangles similar? If so, why are they similar?
(a)
A The triangles are similar by the definition of similarity (all congruent angles, all proportional sides)
B The triangles are similar by AA- Theorem
The triangles are similar by SSS- Theorem
The triangles are not similar
(b)
If they are similar, what is the similarity statement?
A ASTR - ALKR
Answer:
option B is correct answer
because it is similar by AA similarity -.theorum
Which word describes the slope of the line?
O positive
O negative
zero
O undefined
The slope of a horizontal line is always zero.
What is slope?
The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.
By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:
slope = change in y / change in x = 0 / (any non-zero value of x) = 0
So, the slope of a horizontal line is always zero.
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Omar made $144 for 12 hours of work.
At the same rate, how much would he make for 8 hours of work?
Please help
Answer:
96
Step-by-step explanation:
144/12= 12 ( each hour)
12( times) 8=96
Since they got 144 for 12 hours you have to divide the hours by the money to get the amount earned ever hour so you divide the total amount by the hour then use the information you got and then you multiply the amount of money by 8
calculate the quotient of 286 and 11
The quotient for 286 and 11 is 26.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
286 ÷ 11
This can be written as,
11 ) 286 ( 26
286
0
This means,
The quotient is 26.
Thus,
The quotient is 26.
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m=4; (2,3) hghh
mmmmmmmmmmmm m mmmmmmmmmmmm
Answer:
i do not understand your question
Step-by-step explanation:
Find the investment value when compounded anually.
P = $120,000, r= 5.3%, t = 8 yr
Given:
\(P=\$120,000\)
\(r=5.3\%\)
\(t=8\text{ years}\)
To find:
The value of the investment when the interest is compounded annually.
Solution:
The formula for amount is:
\(A=P\left(1+\dfrac{r}{n}\right)^{nt}\)
Where, P is the principal, r is the rate of interest in decimal, n is the number of time interest compounded in an years, and t is the number of years.
The interest is compounded annually. So, \(n=1\).
Substituting \(P=120000, r=0.053, n=1, t=8\) in the above formula, we get
\(A=120000\left(1+\dfrac{0.053}{1}\right)^{1(8)}\)
\(A=120000\left(1.053\right)^{8}\)
\(A=181387.85936\)
\(A\approx 181387.86\)
Therefore, the value of the investment after 8 years is $181,387.86.
WILL GIVE BRAINLEST 100Pts
ANSWER ALL QESTIONS PLS!!!!!!!!!!!!!!!!
A.Write the algebraic expressions representing the length and with of Marlene's house.
B.Write the algebraic expression representing the perimeter of Marlene's house in simplest form
C.If the perimeter is 142 feet, find the value of x.
22. Use the information from Question 21. Show how the Distributive Property can be used to find the area of Marlene's living room.
23 Use the algebraic expression for length and width of Marlene's living room found in the diagram and the value of x found in Question 21C
A.find the actual length and width of her living room.
B. Find the actual area of Marlene's living room use actual dimensions
24. Using the algebraic expression for the area found in Questions 22B, find the area of the living room.
25. Are your answers to Question 23B and Qestions 24 the same? What can you conclude?
Answer:
A .
length : 2x + 2 + x - 4 + x-2
= 2x + 2 + - 4 + x-2
= 2x + x - 4 + x - 2
= 4x -6
width : x - 2 + x
= 2x -2
B.
to find the perimeter
perimeter of rectangle = 2 ( l + b)
= 2 (4x -6 + 2x -2)
= 2 ( 6x - 8)
= 12x - 16
perimeter of Marlene's house in simplest form is 12x - 16
C.
perimeter = 142 finding the value of x ..
142 = 12x - 16
12x = 142 + 16
12x = 158
x = 158/12
x = 13.16
22.
area of living room = length × breadth
= 2x + 2 ×x
= 2 (13.16) + 2 × 13.16 (distributive property used)
= 26.32 + 2 × 13.16
= 28.32 × 13.16
= 372.6912
area of her living room = 372.6912
23. to find the length and width of Marlene's living room
length = 2x + 2
= 2 (13.16) + 2
= 26.32 + 2
= 28.32
Width = x
= 13.16
A .
The actual length of her living room is 28.32
The actual width of her living room is 13.16
B.
The actual area of Marlene's Living room is 372.6912 feet (given above) using actual dimensions
24.
Actual area of living room = length × breadth
= 2x + 2 ×x
= 2 (13.16) + 2 × 13.16 (distributive property used)
= 26.32 + 2 × 13.16
= 28.32 × 13.16
= 372.6912
Actual area of her living room = 372.6912
25.
Yes the answers to Question 23B and Qestions 24 are same .
We can conclude by saying that the x value doesn't change
Draw a two-card hand from a well-shuffled standard deck of cards. Given that the first card is a King, what is the chance the second card is NOT a King
Answer:
P ≈ 0,94
Step-by-step explanation:
The normal deck of cards consists of 52 cards, (with 4 kings )
If we take a king a deck will have 51 cards ( three kings )
The probability to get a non-king card is
Probability of non-king card (P) = 1 - Probability of getting a king card (P₁)
Probability of getting a king card P₁= 3/51 ≈ 0,059
Then P = 1 - 0,059
P ≈ 0,94
Use differentials to estimate the amount of material in a closed cylindrical can that is 10 cm high and 4 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick.
Answer:
dv = attached below
dr = 0.05 cm
dh = 0.2 cm
Approximate volume of metal = 2.8 * π cm^3
Step-by-step explanation:
height of can ( h ) = 10 cm
diameter = 4 cm ; r = 4/2 = 2cm
thickness of metal in top and bottom = 0.1 cm
thickness of metal in sides = 0.05 cm
attached below is the detailed solution
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
PLZ HELP
which relation is a function?
Answer:
The Bottom one
Step-by-step explanation:
The Line cant pass thru it twice. I think, if not sorry.
Rose :)
Plzzz help meeeeeeee
At the start of the year, 90 people were going to the gym. If 55.6% of them quit going a month later, how many people are going to the gym now?
Answer: 39.96 people
Step-by-step explanation:
If 55.6% quit, that means 44.4% still go to the gym.
44.4%*90 = 39.96 people
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
If cos of Ф = 2/5, find sin Ф/2 and cos Ф/2. Assume the angles are in the 1st quartile
The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.
What are the exact values of two trigonometric functions?
Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:
cos 0.5Ф > 0, sin 0.5Ф > 0
sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]
cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]
First, replace the values of the cosine of the half angle:
sin 0.5Ф = √[(1 - 2 / 5) / 2]
cos 0.5Ф = √[(1 + 2 / 5) / 2]
Second, simplify the resulting expression:
sin 0.5Ф = √[(1 - 2 / 5) / 2]
sin 0.5Ф = √[(3 / 5) / 2]
sin 0.5Ф = √(3 / 10)
cos 0.5Ф = √[(1 + 2 / 5) / 2]
cos 0.5Ф = √[(7 / 5) / 2]
cos 0.5Ф = √(7 / 10)
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Which symbol correctly compares these fractions? -13\15 and -5\6 a: = b: > c:
Answer:
B
Step-by-step explanation:
None
keisha decides to roll a number cube until she gets a 6. let x= the number of rolls until she rolls a 6. what is the probability that keisha gets her first 6 on or after her 2nd roll?
the probability will be 1/6 + 1/6=1/3
A person tosses a coin 19 times. In how many ways can he get 12 heads?
Answer:
By getting head's 12 times
Step-by-step explanation:
Answer:
11C9 = 55
11! / [9!(11 - 9)!]
39916800 / (362880 * 2)
39916800 / 725760
55
Step-by-step explanation:
Determine the value of the first term and write a recursive definition for the following
sequence.
{10,15,20,25,30,35,…}
PLEASE SHOW YOUR WORK!
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
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The equation that represent the given situation is y = 15x + 70
When she plants 3 stalks, each plant yields 115 ounces of beans
The first point = (3, 115)
When she plants 8 stalks, each plant yields 190 ounces of beans
The second point = (8, 190)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line m = (190-115) / (8-3)
= 75/5
= 15
The point slope form is
\(y-y_1=m(x-x_1)\)
Choose one point and substitute the values in the equation
y - 115 = 15(x - 3)
y - 115 = 15x - 45
y = 15x - 45 + 115
y = 15x + 70
Hence, the equation that represent the given situation is y = 15x + 70
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Evaluate the expression for x= 8
X + 5
O 3
O 5
08
13
Answer:
(d) 13
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
x + 5
= 8 + 5 = 13