Answer:
Step-by-step explanation:
so in group 1 out of 12 rolls u landed on 4 four times
in group 2 out of 3 rolls u landed on it 1 time
in group 3 u landed on it 1 time
and in group 4 (i assume) u landed on it 1 time
add the denominators
so 7/35 which simplified is 1/5
Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)?
If radii of two concentric circle are 28 cm and 18 cm respectively if the perimeter and the area of the circle are numerically equal then find the radius of the circle
1. The area of two concentric circles with radii 28 cm and 18 cm is 460π cm^2.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle is 2 units.
What are concentric circles?
Concentric circles are those that share a common centre but have differing radii. It is described as two or more circles with the same centre, in other words.
The radii of two concentric circles are 28 cm and 18 cm.
The bigger circle has a radius of r1=28 cm and the smaller circle has the radius of r2=18 cm.
Area of two concentric circles is -
A = π[(r1)^2-(r2)^2]
A = π[(28)^2-(18)^2]
A = π[(28+18)(28-18)]
A = π[46 × 10]
A = 460π cm^2
Therefore, the area of concentric circle is 460π cm^2.
The formula for perimeter of the circle is 2πr, and the formula for the area of the circle is πr^2, where r is the radius of the circle.
Now, according to the data given the perimeter and area of the two circles are equal.
So, the equation will be 2πr = πr^2.
2πr = πr^2
2π = πr
r = 2 units
Therefore, the radius is 2 units.
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1. If radii of two concentric circle are 28 cm and 18 cm respectively. Find the area of the concentric circles.
2. If the perimeter and the area of the circle are numerically equal then find the radius of the circle.
As long as the slope of the objectivefunction stays between the slopes of the binding constraints...
A: the optimal corner point wont change
B: the value of the objective function wont change
C: there will be alternative optimal solutions
D: there will be no slack in the solution
The correct answer is option A: the optimal corner point won't change.
The optimal corner point is the point where the objective function reaches its maximum value, with the constraints of the problem being satisfied. If the slope of the objective function stays between the slopes of the binding constraints, it means that the current optimal corner point will remain unchanged.
This is because if the objective function's slope is within the slopes of the binding constraints, then the set of points where the objective function reaches its maximum value will be the same. Therefore, the optimal corner point will not change.
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Write an equation for the nth term of the geometric sequences. Then Find a6
A. 2, 8, 32, 128,.
B. 0. 6, -3, 15, -75,.
C. -1/8, -1/4, -1/2, -1,.
D. 0. 1, 0. 9, 8. 1, 72. 9,
We want to find an equation and the sixth term of the given geometric sequence.
The equation is: [tex]a_{n} = 4*a_{n}-1[/tex] and the sixth term is equal to 512
What is Geometric sequence?In a geometric sequence, each term is a constant times the previous term, so the general relation is:
[tex]a_{n} = k*a_{n}-1[/tex]
Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:
[tex]8 = k*2\\8/2 = 4 = k[/tex]
Now we know the value of the constant, then the general formula is: [tex]a_{n} = 4*a_{n}-1[/tex]
Now we can use this to get the sixth term:
[tex]a_{6} = 4*a_{5}-1=4*128 = 512[/tex]
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. In the cafeteria
3 out of every 5
students prefer
pizza. If there are
200 students in the
cafeteria how many
students prefer
pizza?
Answer:
120
Step-by-step explanation:
3/5 of 200 = 120
If triangle NPZ ~ triangle HBZ find the measure of angle B.
Please show the steps
The measure of angle B is 107°.
What do similar triangles mean?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given a triangle, NPZ is similar to triangle HBZ.
Which can also be written as ΔNPZ ≈ ΔHBZ
So, by equating the corresponding angles that are angle P = angle B:
8x-37°=180-(2x-5+42)°
10x=180
x=18°
So, H=36-5=31°
Since the sum of all angles in a triangle is 180°, angle B can be calculated as
B= 180°-(42+31)°
B=107°
Therefore the measure of angle B is 107 degrees
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Is halting undecidable?
Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.
What is a tractable problem?a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.
Here,
There is no programme that can resolve the halting difficulty for sufficiently general computer programs,
making it the most frequently encountered problem that has been discovered to be insoluble.
The type of computer software we're discussing must be made clear.
Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.
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Solve for x in the diagram below. ty
Answer:
x = 5
Step-by-step explanation:
90 - 50 = 40
40/8 = 5
1.) Each row of the grocery store parking lot has 10 parking spots of equal width. What is the width for each spot?
2.) How many space is given for each parking spot at the mall parking lot if each spot has an equal width?
3.) Which location gives the greatest space for each parking lot?
(Ik this is a lot but can someone help me please I’m so confused)
When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.
what is equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.
given
The grocery store is 31.92 wide overall, with 10 equally wide parking spaces.
If you assume that the width of these 10 parking spaces is equal to the width of the grocery store as a whole, you will have:
10x=31.92
on both sides of the equation, multiply by 10.
10x/10 = 31.92/10
x = 3.192
When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.
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Please help!!!!! Look at picture, question 3. Links and silly answers will be reported. I’ll mark brainliest to whoever explains how they got their answer.Please please help!!
Answer:
72
Step-by-step explanation:
Ratio:2:3=2x:3x
2x+3x=180
5x=180
x=36
m ABD=36x2=72
A falcon was recorded travelling 100 metres in 0. 93 seconds.
What was its average speed
a in m/s to 3 significant figures
The average speed of the falcon to 3 significant figures will be 107.526 m/s
Distance travelled by falcon = 100 meters
Time taken by falcon to travel the distance = 0.93 seconds
As we have the formula for finding the average speed:
Average speed is a pace defined as a quantity divided by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t is used to compute average speed, where S is the average speed, d is total distance, and t is total time.
Average speed can be find by simply dividing the total distance covered by falcon by the total time taken by him to cover the distance.
So, the value of the average speed will be = (100 m/0.93 sec) =107.526 m/s
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PLZZZZ HELP!!!!!!!!!!!!!!!!!
Answer:
A=16.3 ft²
Step-by-step explanation:
we are given a composite figure, composing of a triangle and a semicircle
first, let's find the area of the triangle
we are given the height (5 ft) and the base of the triangle (4 ft)
the formula for the area of the triangle is given as bh/2, where b is the base and h is the height
substitute the known values into the formula
[tex]A_{triangle}[/tex]=bh/2
[tex]A_{triangle}[/tex]=(5*4)/2
[tex]A_{triangle}[/tex]=20/2=10 ft²
so the area of the triangle is 10 ft²
now to find the area of the semicircle:
the area of a semicircle is half the area of a circle; the area of a circle is given as πr², where r is the radius. Therefore, the area of a semicircle is (πr²)/2
4 ft isn't just the base of the triangle; it's also the diameter of the semicircle
however, we need the radius
the radius is half the diameter value
r=d/2
r=4/2
r=2 ft
so the radius is 4 feet
now find the area of the semicircle. Don't substitute for π just yet.
[tex]A_{semicircle}[/tex]=(πr²)/2
[tex]A_{semicircle}[/tex]=(π*2²)/2
[tex]A_{semicircle}[/tex]=4π/2
[tex]A_{semicircle}[/tex]=2π
π is often substituted as 3.14 or 22/7
so if we used 3.14 for instance:
[tex]A_{semicircle}[/tex]=6.28; rounded to the nearest tenth, that's 6.3 ft²
now add the two areas together to get the area of the composite figure
[tex]A_{compositefigure}[/tex]=[tex]A_{triangle}[/tex]+[tex]A_{semicircle}[/tex]
[tex]A_{compositefigure}[/tex]=10+6.3=16.3 ft²
Hope this helps! Good luck on your assignment!!
Blake uses 2 gallons of gas to drive 34.6 miles in his car. Find the rate of change.
Answer:
17.3 miles / gallon
Step-by-step explanation:
RatesRates can be represented in different forms, such as speed (meters per second) or water flow rate (liters per minute or second)
SolutionGiven information from the question,
2 gallons = 34.6 miles
1 gallon = 34.6 ÷ 2 = 17.3 miles / gallon
Please help me on this very much appreciated
On a coordinate plane, polygon S prime T prime U prime V prime has points (negative 2, 4), (negative 4, 1), (negative 2, negative 2), and (0, 1).
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y)
and the image S'T'U'V', what are the coordinates of vertex V of the pre-image?
(0, 0)
(0, One-third)
(0, 1)
(0, 3)
The vertex of V' had a preimage of V(0, 3) as V' has a dilation of 3.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, On a coordinate plane, polygon S'T'U'V' has points (- 2, 4), (- 4, 1),
(- 2, - 2), and (0, 1) with a dilation rule DO,1/3 (x, y) to [(1/3)x, (1/3)y].
Therefore, The coordinates of the vertex V had a preimage of,
3(V'), which is 3(0, 1) = (0, 3).
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which decimal is equivalent to 25/6 ?
Answer:
4.1667
Your welcome!
what is x if 2/9+x=11/18?
Answer:
x = 7/18
Step-by-step explanation:
what is x if 2/9+x=11/18?
2/9 + x = 11/18
x = 11/18 - 2/9
x = 63/162
x = 7/18
check
2/9 + 7/18 = 11/18
11/18 = 11/18
the answer is goodPlease help meeh thank u thank u
Answer:
The location would be between 4 and 5.
Step-by-step explanation:
The square root of 19 would be around 4.3. So you would put a mark between the two lines that are in between the 4 and 5.
Here are six number cards.
-4 -2 -1 5 6 8
Arrange the cards into three pairs with the same total
Arranging cards with number -4, -2, -1, 5, 6, 8 making pair with the same total. Therefore, the pairs are (8,-4), (6,-2), (5,-1).
What are card pairs?A pair is a hand that has two cards of same rank and three other cards that do not match any of these or each other. When comparing two similar hands, the hand with the higher pair wins – therefore 6-6-4-3-2 defeats 6-6-4-3-2. 5-5-A-K-Q.Some things, such as a pair of pants or a pair of scissors, contain two major sections that are the same size and form.
A 55-card deck with one 1, two 2s, three 3s, and so on up to ten 10s is used in the game. Shuffle the deck at the start of the game, then remove five cards from play without looking. Give each player one face-up card.
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I dont remember how to rewrite formulas properly
Answer:
h= (V/πr²)(3)
Step-by-step explanation:
how do i do this question
Answer: Okay this is the formula for slope: y=mx+b 2 would be the slope and -1 would be the y intercept so select b.
Step-by-step explanation:
what is 5 divided by 1/4
The coordinates of 3 of the vertices of a parallelogram are (-3, 4), (-2, 1), and (2, 6). What is the equation for the
line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a
parallelogram are parallel.)
The equation for the side of the line that contains the first two vertices' opposite side is 3x+y=12
Given that,
Three of a parallelogram's vertices have the coordinates (-3, 4), (-2, 1), and (2, 6).
We have to find what is the equation for the side of the line that contains the first two vertices' opposite side.
We know that,
The equation of the line is
y=mx+b
Here, we find m and d
Take the points (-3,4) (-2,1)
m = y₂-y₁ / x₂-x₁
m = 1 - 4 / -2-(-3)
m = -3 / 1
m = -3
Now take point (2,6)
6 = -3(2) + b
6 = -6 + b
6 + 6 = b
12 = b
We get m =-3 and b=12
The equation will be y=-3x+12
3x+y=12
Therefore, the equation for the side of the line that contains the first two vertices' opposite side is 3x+y=12
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The mass of a dust particle is 6.54 x 10-7 kilograms. Which shows the mass
written as a decimal?
0.0000654 kg
0.00000654 kg
O 0.000000654 kg
0.0000000654 kg
Answer:
0.000000654 kg
Step-by-step explanation:
what is the answer to 5 + (-5)=
As part of an experiment to test different liquid fertilizers, a sprinkler has to be set to cover an area of 140 square yards in the shape of a sector of a circle of radius 50 yards. Through what angle should the sprinkler be set to rotate? If necessary, round the answer to two decimal places
The sprinkler should be set to rotate through the angle 6.42 degrees.
What is an angle?
Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.
r = 50 yards
Area, A = 140 square yards
Θ = angle
A= (Θ /360) πr²
140 = (Θ /360) * 3.14 * 50*50
Θ = (140*360)/(3.14*25*100) = 6.42 degrees
The sprinkler should be set to rotate through the angle 6.42 degrees.
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I literally need so much help
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Answer:
[tex]x=\dfrac{\log 6}{\log 23}[/tex]
Step-by-step explanation:
Given exponential equation:
[tex]23^x=6[/tex]
[tex]\textsf{Apply the log law}: \quad a^c=b \iff \log_ab=c[/tex]
[tex]\implies\log_{23}6=x[/tex]
[tex]\textsf{Given change of base formula}: \quad \log_by=\dfrac{\log y}{\log b}}[/tex]
Apply the given change of base formula:
[tex]\implies x=\dfrac{\log 6}{\log 23}[/tex]
A contractor is building a desk around a 15 x 20 rectangular swimming pool. He is going to build a 2-foot desk around the pool.
Answer:
[tex](15 + 2x)(20 + 2x)[/tex]
Step-by-step explanation:
Given
[tex]Length= 15[/tex]
[tex]Width = 20[/tex]
[tex]Deck = x[/tex] --- on both sides
Required
An expression for total area of the pool
Because the deck will be on both sides,
the dimension of the pool will be:
[tex]L = Length + 2 * deck[/tex] --- Length
[tex]L = 15 + 2x[/tex]
[tex]W = Width + 2 * deck[/tex] --- Width
[tex]W = 20 + 2x[/tex]
The total area of the pool is calculated as:
[tex]Area = Length * Width[/tex]
[tex]A = (15 + 2x) * (20 + 2x)[/tex]
[tex]A =(15 + 2x)(20 + 2x)[/tex]
Hence, the expression is: [tex](15 + 2x)(20 + 2x)[/tex]
Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if instead of the money she actually has, she has as many quarters as she has nickels, as many dimes as she has quarters, and as many nickels as she has dimes, then she would have $1,50 less than she actually has. How many nickels, how many dimes, and how many quarters are actually in Emily's piggy bank? Please no links
Answer:
Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank
Step-by-step explanation:
The number of dimes in Emily's piggy bank = 2 × The number of nickels
The number of quarters in it = 2 + The number of nickels
Whereby;
The number of quarters = The number nickels
The number of dimes = The number of quarters
The number of nickels = The number of dimes
The total amount = Current amount - $150
Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;
x = 2 × y
z = 2 + y
The total amount in the piggy bank is therefore;
Total = C = x×0.1 + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5
C = 0.5·y + 0.5
With the second condition, we have;
z = y
x = z
y = x
We get
x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5
∴ C = 0.4·y + 1.5
Which gives;
0.5·y + 0.5 = 0.4·y + 1.5
0.1·y = 1.5 - 0.5 = 1
y = 1/0.1 = 10
y = 10
Therefore;
x = 2×y = 2 × 10 = 20
z = 2 + y = 2 + 10 = 12
Therefore;
The number number of nickels in her piggy bank, y = 10
The number of dimes in her piggy bank, x = 20
The number of quarters in her piggy bank, z = 12
Answer:
24 nickles 48 dimes 26 quarters
Step-by-step explanation:
What is the length of bc in the right triangle below
Answer:
C 82
Step-by-step explanation:
18^(2)+80^(2)=c^(2)