Answer:
12/20
Step-by-step explanation:
Cosine is a trigonometric identity. It is a ratio of the adjacent side and hypotenuse of a right triangle.
The adjacent side to angle Θ is 12. The hypotenuse of this triangle is 20.
cosΘ in this case would be 12/20.
Find the circumference and the area of a circle with diameter 42yd
The Circumference of circle is 131.88 yd and Area of circle is 1,384.74 yd².
What is Circumference?The distance between the centre of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian. The shortest path between any two points on a sphere is called a geodesic.
Given:
Diameter= 42 yard
Radius= 42/2= 21 yard
So, Circumference of Circle
= 2πr
= 2 x 3.14 x 21
= 131.88 yd
and, area of Circle
= πr²
= 3.14 (21)²
= 1,384.74 yd²
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Drag and drop the answers into the boxes to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A sequence of transformations that maps △DEF to △D′E′F′is a Response area followed by a Response area.
The two right triangles are on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 with an increment of 1. The vertical y-axis ranges from negative 5 to 5 with an increment of 1. A dashed triangle has vertex F prime at begin ordered pair 0 comma 1 end ordered pair, vertex D prime at begin ordered pair 1 comma 1 end ordered pair and vertex E prime at begin ordered pair 1 comma 4 end ordered pair. A solid triangle has vertex F at begin ordered pair negative 1 comma negative 1 end ordered pair, vertex D at begin ordered pair negative 2 comma negative 1 end ordered pair and vertex E at begin ordered pair negative 2 comma negative 4 end ordered pair.
A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation
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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
What is the sequence of transformations?The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.
The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.
Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
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Select the best choice to correct the vague pronoun reference in this sentence.
Did you see it in the sky last night?
in the evening
looking up
near the stars
the spaceship
The vague pronoun "it" can be replaced by -
Option D: the spaceship
What is a pronoun?
An alternative to a noun is a pronoun. In order to avoid using the noun more than once in a paragraph or piece of writing, it replaces. Singular and plural pronouns can be used. The verb in the sentence should be utilised in keeping with the specific pronoun form that is being employed.
The sentence is "Did you see it in the sky last night?".
"The spaceship" is the most appropriate option to replace the ambiguous pronoun reference in this statement.
Did you see it in the sky last night? is a vague question because "it" could refer to a variety of sky-observed objects.
The language becomes clearer and more precise by swapping "it" for "the spaceship," referring specifically to a particular item observed in the sky.
Therefore, the spaceship is the correct choice.
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Solve for the missing side. Round to the nearest tenth.
х
51°
12
9514 1404 393
Answer:
7.6
Step-by-step explanation:
The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(51°) = x/12
x = 12·cos(51°) ≈ 7.552
x ≈ 7.6
An individual is baking 3 batches of cookies. They used 1.8 oz. of vanilla in one batch of the cookies, 1.25 oz. of vanilla in the second batch and .95 oz. in the third batch. Convert these decimals into fractions, and then put them in ascending order.
Answer:
19/20 , 1 1/4 , 1 4/5
Step-by-step explanation:
1.8 = 1 4/5 (fraction)
1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5
1.25 = 1 1/4 (fraction)
1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4
0.95 = 19/20 (fraction)
0.95 converts to 95/100. This can be simplified to 19/20
Ascending Order (smallest to largest)
smallest - 19/20
middle - 1 1/4
largest - 1 4/5
I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure
The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
Please help, thanks!
Please help !!!!!! 20 points
The value of x in the polygon will be 13.25 degrees.
The value of x is 10.
We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.
How to calculate the valueThe sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.
Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees
Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:
Measure of one angle = 3960/24 = 165 degrees
165 = 12x + 6
159 = 12x
x = 13.25
Therefore, the value of x is 13.25 degrees.
Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.
Therefore, we have:
731x+86° = 7380°
Solving for x, we get:
731x = 7294°
x = 10
Therefore, the value of x is 10.
The equation that can be used to find the value of x is:
(9x+48)° + (15x-24)° = (n-2)*180°
24x + 24 = (n-2)*180°
Dividing both sides by 24, we get:
x + 1 = (n-2)*15°
Subtracting 1 from both sides, we get:
x = (n-2)*15° - 1
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solve for x3(x-2)+4=28
Answer: here’s the answer!
Step-by-step explanation: hope this helps!
Answer:
x=10
Step-by-step explanation:
3(x-2)+4=28
3x-6+4=28
3x-2=28
3x=30
x=10
look at screenshot plz
What are the next numbers in the series 1, 2, 3, 0, 1, 2, -1
The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........
What is number Series?This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.
From the question:
1, 2, 3, 0, 1, 2, -1
The pattern is:First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.
Calculating the pattern we have:1 +1 = 2
2 + 1 = 3
3 -3 =0
0+1 = 1
1 + 1 = 2
2 -3 =-1
-1 + 1 =0
0 + 1 =1
1 - 3 = -2
-2 + 1 = -1
-1 + 1 = 0
0 -3 = -3
-3 + 1 = -2
-2 + 1= -1
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Please,can you help me with this one?
Parker has 4 different piggy banks
one each for pennies, nickels,dimes, and quarters
If there are twenty coins in each of his 4 piggy banks,
what is the average amount of money contained in
each piggy back?
Answer:
Just multiply two with the value of one penny,one,nickel,one dimes,one quarters and add them you will get the ans.
Y=-2x-4 y=1/2x +6 what is the solution of the system of equation
Answer:
Step-by-step explanation:
The angular velocity of a merry-go-round is w=pi/7 per second
A child is in a seat 8 feet from the center of the merry-go-round. The ride makes a com-
plete revolution in 14 seconds. What is the child's linear velocity?
The linear velocity expression of the given problem is: 8π/7 feet per second
How to solve Angular Velocity Problems?Angular velocity is defined as the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.
We are given the angular velocity as:
ω = π/7
The formula that shows the relationship between angular velocity and linear velocity is:
v = ωr
Thus:
v = (π/7) * 8
v = 8π/7 feet per second
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If the length of a rectangular field is 7 feet less than six times its width, and the perimeter is 140 feet.
Length of a rectangular field is_____
feet.
From the given data, using perimeter of rectangle, Length(L) = 6 × 11 - 7 of the rectangular field.
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. P = x+x+y+y, where P is the perimeter.
Let length of the rectangular field = L
Width of rectangular field = W
Given,
length of a rectangular field is 7 feet less than six times its width
perimeter is 140 feet,
According to the question,
L = 6W - 7
Perimeter of the rectangle = 2 (L + W)
140 = 2 (6W - 7 + W)
140 = 2 (7W - 7)
70 = 7 W - 7
77 = 7 W
W = 11
L = 6 × 11 - 7
Length = 59
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Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
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An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
418 421 421 422 425 428 431 435 437
438 445 447 448 453 458 462 465
(c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) Note that it is plausible that the given sample observations were selected from a normal distribution and there are no outliers.
(___ , ___)
Does the interval suggest that 441 is a plausible value for true average degree of polymerization?
Yes or No
Does the interval suggest that 451 is a plausible value?
Yes or No
Answer:
Step-by-step explanation:
Form a set of values we get
n = 17
And with the help of a calculator
μ₀ = 438,47
σ = 14,79
Normal Distribution is : N ( 438,47 ; 14,79 )
c)
CI = 95 % means α = 5 % α/2 = 2,5 % α/2 = 0,025
and as n < 30 we should use t-student distribution with n -1 degree of freedom df = 16. t score for 0,025 and 16 s from t-table 2,120
By definition:
CI = [ μ₀ ± t α/2 ; n-1 * σ/√n ]
CI = [ μ₀ ± 2,120* 14,79/√17 ]
CI = [ μ₀ ± 7,60 ]
CI = [ 438,47 ± 7,60 ]
CI = [ 430,87 ; 446,07 ]
95% confidence interval for true average degree of polymerization is [430.87 ; 446.07] and this interval suggest that 441 is a plausible value for true average degree of polymerization and also this interval does not suggest that 451 is a plausible value.
Given :
Sample = [ 418, 421, 421, 422, 425, 428, 431, 435, 437, 438, 445, 447, 448, 453, 458, 462, 465 ]95% confidence interval.The total number of values given is, n = 17
Mean, \(\mu_0=438.47\)
Standard Deviation, \(\sigma = 14.79\)
The normal distribution is given by: N (438.47 ; 14.79)
If Cl is 95% then \(\alpha\) is 5% and \(\alpha /2\) is 2.5%
\(\alpha /2 = 0.025\)
Now, use t-statistics distribution with (n-1) degree of freedom df = 16
So, the t score for 0.025 and 16 s from t-table 2.120.
\(\rm Cl = [\mu_0 \pm t_{\alpha /2};(n-1)\times \dfrac{\sigma}{\sqrt{n} }]\)
\(\rm Cl = [\mu_0 \pm 2.120\times \dfrac{14.79}{\sqrt{17} }]\)
\(\rm Cl = [\mu_0 \pm 7.60]\)
Cl = [430.87 ; 446.07]
Yes, the interval suggests that 441 is a plausible value for true average degree of polymerization.
No, the interval does not suggest that 451 is a plausible value.
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Help pls!!!! Help PLs Help pls
Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Please Like!
if you answers this question correctly i'll give you brainliest
Answer:
D. Both of the dot A and B have the same mean
classify the following set of measurements as accurate, precise, both, or neither. checking for consistency in the weight of chocolate chip cookies: 17.27 g, 13.05 g, 19.46 g, 16.92 g
The dimensions listed above are thus neither exact nor precise.
In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.
It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.
The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.
The dimensions listed above are thus neither exact nor precise.
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For a segment of a radio show a disc jockey can play 10 records. If there are 12 records to select from in how many ways can the program for this segment be arranged
Answer:
66 different waysStep-by-step explanation:
This is a combination question. Combination has to do with selection. For example if r objects are to be selected from n pool of oblects, this can be done in nCr number of ways.
nCr = n!/(n-r)r!
According to the question, if a radio show can only play 10 records out of 12 records available, this can be done in 12C10 number of ways.
12C10 = 12!/(12-10)!10!
= 12!/2!10!
= 12*11*10!/2*10!
= 12*11/2
= 6*11
= 66 different ways
A patient is to take 7 mL of amoxicillin 250 mg/5 mL. How many milligrams?
Step-by-step explanation:
that means that in 5 ml there are 250mg.
and that means that in 1 ml there are 250/5 = 50 mg.
and now we can find out the mg in 7 ml (by multiplying everything by 7) :
7 ml = 50 × 7 = 350 mg
Feb 17 A zoo feeds its monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit n mass to biscuit mass. Ratios with tape diagrams The table shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys. Monkey A Fruit mass Based on the ratio, complete the missing values in the table. B Biscuit mass Fruit mass (g) Biscuit mass (g) 28 45
help fast
Answer:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Step-by-step explanation:
Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.
For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 29.2 g
Biscuit mass = 43.8 g
For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
A castle under siege has enough food for 300 men for 90 days. (Level 6) After 40 days, 150 men have left the castle.
How long would the food last at the same rate of consumption?
Answer:
45 days
Step-by-step explanation:
300 men = 90 days
the percentage of food consumed by one man
= ( 90 / 300 ) * 100
= 30% = 0.3
After 40 days
150 men remain to consume at 30%
determine the number of days the remaining food will last ( x )
= x / 150 = 0.3
therefore ; X = 150 * 0.3 = 45 days
Simplify the expression and show work.
Answer:
72/149
Step-by-step explanation:
Just to clarify, the curly braces mean the same thing as normal parenthesis.
(12 + 5^2) = (12 + 25) = 37
(-7-15)^2 = (-22)^2 = 484
6^3 = 216
(12 + 5^2) - (-7-15)^2 = 37 - 484 = 447
6^3 / ((12 + 5^2) - (-7 - 15)^2) = 216 / 447 = 72/149
Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)
The correct pairings are:
a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
b) Five times the difference of a number squared and six: 5(n² - 6)
c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
d) O twice the difference of nine and a number squared: 2(9 - n²)
The correct pairings of descriptions and expressions are as follows:
Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.
Five times the difference of a number squared and six: 5(n² - 6)
This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.
Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.
O twice the difference of nine and a number squared: 2(9 - n²)
This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.
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Which statement best describes a sequence? a.All sequences have a common difference. b.A sequence is always infinite. c.A sequence is an ordered list. d.A sequence is always arithmetic or geometric.
Answer:
C
Step-by-step explanation:
A sequence is defined as a list of numbers or objects in a special order.
They may be arithmetic or geometric or neither.
For example
0, 1, 4, 9, 16, 25, ..... ← is the sequence of square numbers.
Note it is neither arithmetic or geometric.
Plissss helP meee!!!!!
Question 10 of 10
Which is the graph of the parent function f(x) = |x|?
10
X
-10
10
O A.
-10
Answer:
Graph B
Step-by-step explanation:
f(x) = | x |This means that regardless of the x-input you enter, the y-output will always be positive, as indicated by the modulus, which refers to the absolute valueGraph B shows the correct graphIf it’s right I will give Brainlyist
Answer:
its F
Step-by-step explanation:
because 1+1 is AxB is 21
how would I write an equation?
and what would my x and y represent?
The equation is x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.
How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.To learn more about equation refer to:
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