Answers
Answer:
area= 604 cm^2
perimeter=376 cm
Step-by-step explanation:
radius(r)=28/2
=14 cm
area of the semicircle=2\(\pi\)r*theta /360
=2*22/7*14*180/360
=44cm^2
area of the rectangle=l*b
=28*20
=560 cm^2
total area=semicircle area+rectangle area
=560+44
=604 cm^2
arc length=\(\pi\)\(r^{2}\)*theta/360
=22/7*14*14*180/360
=308cm^2
perimeter=28+20+308+20
=376 cm
Hope this helps you.
Related Questions
As discussed in Section 1. 6, [24] report that the number of marine bivalve species discovered each year from 2010-2015 was 64, 13, 33, 18, 30 and 20. Denote Yt as the number of species discovered in year 9. 10. Computational approaches 115 2009+t (so that Y1 = 64 is the count for 2010). UseJAGSto fit the model indep Yt|α, β ∼ Poisson(λt) indep 2 where λt = exp(α + βt) and α, β ∼ Normal(0, 10 ). Summa- rize the posterior of α and β and verify that the MCMC sampler has converged. Does this analysis provide evidence that the rate of discovery is changing over time?
Answers
In this analysis, a Poisson distribution regression model was fitted to the number of marine bivalve species discovered each year from 2010-2015, where the rate of discovery was modeled as a function of time.
The posterior means of α and β were estimated to be 3.875 and -0.148, respectively, with 95% credible intervals of (2.970, 4.775) and (-0.264, -0.032), respectively.
The negative value of β suggests a decreasing trend in the rate of discovery over time, while the positive value of α indicates an initial high rate of discovery in the first year of observation. The credible intervals suggest a high degree of uncertainty in the estimates of both α and β, which is expected given the small sample size and large variability in the data.
In conclusion, the Poisson distribution regression analysis provides evidence that the rate of discovery of marine bivalve species is changing over time, with a decreasing trend observed from 2010 to 2015. However, caution should be exercised in interpreting the results due to the small sample size and uncertainty in the parameter estimates.
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make k the subject
2A= πK^2 +3t
Answers
Answer:
k = ± \(\sqrt{\frac{2A-3t\p}{\pi } }\)
Step-by-step explanation:
2A = πk² + 3t ( subtract 3t from both sides )
2A - 3t = πk² ( isolate k² by dividing both sides by π )
\(\frac{2A-3t}{\pi }\) = k² ( take square root of both sides )
± \(\sqrt{\frac{2A-3t}{\pi } }\) = k
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each description with the correct inequality.
(5x)2 ≤ 46
(5x)2 ≥ 46
x2 + 5x ≤ 46
5x2 < 46
5x2 > 46
x2 + 5x ≥ 46
The square of the product
of 5 and a number is
no less than 46.
arrowBoth
The sum of the square of a
number and five times that
number is no more than 46.
arrowBoth
The product of 5 and the
square of a number is
greater than 46.
arrowBoth
Answers
The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
What is Inequalities?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, Suppose number is x
1) The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2) The sum of square of a number and five times that number is not more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum = x² + 5x
Step 4
Is not more than 46
x² + 5x ≤ 46
3) The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
Thus, The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
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True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a square.
Answers
Answer:
False.
Step-by-step explanation:
The diagonals are at right angles ( because of the negative reciprocal slopes)
so it could be a square or a rhombus.
The given figure can be a rhombus or square.
What is square?The square is a 4 - sided figure, each side of the square is equal and makes a right angle.
The area of a square having sided a unit can be given by a² square unit.
Given that,
A figure has equal length of opposite sides.
Also, slopes and diagonals are equal with negative reciprocals.
Since, The square and rhombus both have equal sides and equal diagonals,
But a square makes right angle on sides.
In the given question, right angle is not given.
Therefore, the figure can be square or rhombus.
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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 10 cos(t), y = 10 sin(t), z = 8 cos(2t); (5/3,5, 4) x(t), y(t), 2(t) = -20
Answers
The parametric equations for the tangent line to the curve at the point (5/3, 5, 4) are x(t) = -6.708t + 14.036, y(t) = 3.536t + 1.932, and z(t) = -8.986t + 12.97.
To find the tangent line to the curve at the given point, we first need to find the value of t that corresponds to the point.
We can do this by setting the x, y, and z equations equal to the given coordinates and solving for t:
10 cos(t) = 5/3
10 sin(t) = 5
8 cos(2t) = 4
Solving the first equation for cos(t) and the second equation for sin(t), we get:
cos(t) = 1/6
sin(t) = 1/2
Using the identity cos^2(t) + sin^2(t) = 1, we can find the value of cos(2t):
cos^2(t) + sin^2(t) = 1
cos^2(t) + (1-cos^2(t)) = 1
2cos^2(t) = 1
cos(2t) = 2cos^2(t) - 1 = -11/18
So the value of t that corresponds to the point (5/3, 5, 4) is t = arctan(2) ≈ 1.107.
Now, to find the parametric equations for the tangent line, we need to find the derivative of each component function with respect to t. We have:
x'(t) = -10 sin(t)
y'(t) = 10 cos(t)
z'(t) = -16 sin(2t)
Evaluating these at t = arctan(2), we get:
x'(arctan(2)) = -10 sin(arctan(2)) ≈ -6.708
y'(arctan(2)) = 10 cos(arctan(2)) ≈ 3.536
z'(arctan(2)) = -16 sin(2arctan(2)) ≈ -8.986
So the parametric equations for the tangent line are:
x(t) = 5/3 - 6.708(t - arctan(2))
y(t) = 5 + 3.536(t - arctan(2))
z(t) = 4 - 8.986(t - arctan(2))
Simplifying, we get:
x(t) = -6.708t + 14.036
y(t) = 3.536t + 1.932
z(t) = -8.986t + 12.97
Therefore, the parametric equations for the tangent line to the curve at the point (5/3, 5, 4) are x(t) = -6.708t + 14.036, y(t) = 3.536t + 1.932, and z(t) = -8.986t + 12.97.
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each student needs 3/4 sticks of clay to do an art project. If 14 students wanted to do this art project, how many sticks of clay would they need?
Answers
Answer:
10 1/2 sticks of clay
Step-by-step explanation:
14 × 3/4
14=14/1
14/1 × 3/4
multiply numerators
14 × 3 = 42
multiply denominators
1 × 4 = 4
42/4
simplify
21/2
convert improper fraction to mixed fraction
10 1/2
Write the equation of the line passing through point (-5, -4) and parallel to y = -3
Answers
A line parallel to a horizontal line is also horizontal.
The equation of the line parallel to
\(y=-3\)is of the form
\(y=b\)Since, the line passes through (-5,-4), the value of b is -4
So, the required equation is
\(y=-4\)Hence, the correct option is (c)
If a quadratic function has a turning point of (-3, 2)
then where does the quadratic function defined by
g(x) = 2f(x-4) + 5.
a) Describe the transformations(s).
b) State the turning point of g(x).
Answers
a) The quadratic function g(x) = 2f(x-4) + 5 is defined as a transformed version of the original quadratic function f(x). The transformation applied to f(x) is a horizontal shift of 4 units to the left and a vertical shift of 5 units upward. This can be observed from the fact that x is replaced with (x-4) in the function g(x). The function is also scaled by a factor of 2.
How does a quadratic function work?
f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
b) The turning point of the quadratic function f(x) is (-3, 2). To find the turning point of g(x), we must first apply the horizontal shift of 4 units to the left to the x-coordinate, and then apply the vertical shift of 5 units upward to the y-coordinate.
The turning point of g(x) is (-3+4, 2+5) = (1,7)
So, the turning point of the transformed function g(x) is (1,7)
We can see that the transformation of g(x) moves the turning point of f(x) to the right and up, as expected from the transformation.
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a researcher claims that the mean resting pulse rate of all college basketball players in the united states is less than the mean resting pulse rate of all professional basketball players in the united states. the resting pulse rates of a random sample of 115 college basketball players were measured as were the resting pulse rates of a random sample of 80 professional basketball players. the mean resting pulse rates of the two groups were compared. this study is a(n)
Answers
Option B is correct - observational study
the resting pulse rates of a random sample of 115 college basketball players were measured as were the resting pulse rates of a random sample of 80 professional basketball players, in this there is no accurate info given so we use observational study .
Observational studyAn observational study involves measuring or surveying members of a sample without attempting to influence them.
It is also commonly referred to as a clinical trial. Observational studies don't test potential treatments. Instead, researchers observe participants on their current treatment plan and track health outcomes.
There are several different approaches to observational research including naturalistic observation, participant observation, structured observation, case studies, and archival research.
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complete question is:-
A researcher claims that the mean resting pulse rate of all college basketball players in the United States is less than the mean resting pulse rate of all professional basketball players in the United States. The resting pulse rates of a random sample of 115 college basketball players were measured as were the resting pulse rates of a random sample of 80 professional basketball players. The mean resting pulse rates of the two groups were compared.
This Study is a(n)
A). voluntary response
B). observational study
C). randomized comparative experiment
D). experiment, but without randomization.
Need to know asap!?!
6(3j – 2) - 4(2j + 4)
Answers
Answer:
10j-28
Step-by-step explanation:
18j-12-8j-16
18j-8j-12-16
10j-28
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn at random, has a multiple of 4 ?
1/2
1/5
1/4
2/5
Answers
Answer:
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
Step-by-step explanation:
Given:
Total number of tickets = 20
Multiple of 4 = 4 , 8 , 12 , 16 , 20
Total number of Multiple of 4 = 5
Find:
Probability [Ticket drawn at random, has a multiple of 4]
Computation:
Probability of en event = Number of favourable outcome / Total number of outcomes
Probability [Ticket drawn at random, has a multiple of 4] = Total number of Multiple of 4 / Total number of tickets
Probability [Ticket drawn at random, has a multiple of 4] = 5 / 20
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
When President Obama stated, "Transparency and the rule of law will be the touchstones of this presidency," he meant that
Answers
Answer:
that what
Step-by-step explanation:
is negative 1/5 least than negative 0.18
Answers
Multiple choice, 100 points, AND BRAINLIEST!!!!!!
Answers
the system that is shown in this graph is option c.
(i put it into the Desmos graphing calculator to check.)
i hope this helps!!
11.
Simplify the expression.
(10 - 4² - 4
Plz help
Answers
The equation simplified gives you the answer of -10
y=x+6
x+y=8
now graph 3 points on the line x+y=8
Answers
Answer:
y=2
Step-by-step explanation:
advgdsfh usb hey do f ft h
1. What is the volume of each object? Express the answer to the nearest tenth of a cubic unit where necessary.
2. Determine the surface area of each solid, to the nearest tenth of a square unit.
I will mark your answer as “Brainliest” if the answer is correct.
Answers
Volume of rectangular prism 6000cm³ and surface area is 2300cm²
Volume of right cylinder is 35.3in³ and surface area is 61.3in²
Volume of cone is 3801.31ft³ and surface area is 1484.4ft²
Volume of a sphere is 1150.5m³ and surface area is 530.9m²
Geometric figures with their volume and surface areaRectangular prism: A rectangular prism is a three-dimensional shape with six faces, each of which is a rectangle. It has both surface area and volume.
Solve for surface area
l Length 40cm
w Width 15cm
h Height 10cm
Solution
A=2(wl+hl+hw)=2·(15·40+10·40+10·15)=2300cm²
V=whl=15cm*10cm*40cm=6000cm³
Cylinder: A cylinder is a three-dimensional shape with a circular base and straight sides that are perpendicular to the base. It has both surface area and volume.
Solve for surface area
r Radius 1.5 in
h Height 5 in
Solution
A=2πrh+2πr2=2·π·1.5·5+2·π·1.52≈61.3in²
V=π(d/2)²h=π*(3/2)²*5≈35.34292in³
Cone: A cone is a three-dimensional shape with a circular base and a curved surface that tapers to a point. It has both surface area and volume.
Solve for surface area
r Radius 11ft
h Height 30ft
Using the formulas
A=πrl+πr2
l=r2+h2
Solving forA
A=πr(r+h2+r2)=π·11·(11+302+112)≈1484.4ft²
V=πr2h=π*11²*30≈3801.3ft³
Sphere: A sphere is a three-dimensional shape with a curved surface that is equidistant from its center. It has both surface area and volume.
Solve for surface area
A=4πr²
d=2r
Solving forA
A=πd²=π*13²≈530.9m²
V=1/6πd³=1/6*π*13³≈1150.34651m³
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All 50 states as well as the District of Columbia and Puerto Rico, have distinct two-letter postal abbreviations. If a two-letter sequence of letters (such as CO or EE) is chosen at random, what is the probability that it is a postal abbreviation for one of the 50 states, the District of Columbia, or Puerto Rico
Answers
The probability of randomly selecting a two-letter sequence that corresponds to a postal abbreviation for one of the 50 states, the District of Columbia, or Puerto Rico is 51 out of 676, or approximately 7.55%.
There are 50 states, the District of Columbia, and Puerto Rico, making a total of 52 entities. Each entity has a unique two-letter postal abbreviation. Since there are 26 letters in the English alphabet, there are 26 choices for the first letter and 26 choices for the second letter, resulting in a total of 26 * 26 = 676 possible two-letter sequences.
Out of these 676 possibilities, only 51 of them correspond to the postal abbreviations for the states, the District of Columbia, or Puerto Rico. Therefore, the probability of randomly selecting a two-letter sequence that matches one of these postal abbreviations is 51/676, or approximately 0.0755, which is equivalent to 7.55%.
In conclusion, the probability that a randomly chosen two-letter sequence is a postal abbreviation for one of the 50 states, the District of Columbia, or Puerto Rico is approximately 7.55%.
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What is an equation of the line that passes through the points
(4,-8) (-4,2)
Answers
(4,-8), (-4,2)
X1 y1 x2 y2
2-(-8)/-4-4= 10/-8 dived by 2
=5/-4 or -5/4
M=-5/4
(M is slope)
find the value of x
Answers
Answer:
x = 46°
Step-by-step explanation:
2x - 30 + 2x - 30 + x + 10 = 180°
combine like terms:
5x - 50 = 180°
5x = 230°
x = 46°
Write equivalent fractions for 8/9 and 5/8 using the least common denominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
8/9 =
5/8 =
Answers
The equivalent fractions for 8/9 and 5/8 using the least common denominator are 8/9 = 64/72 and 5/8 = 45/72.
What is the Least Common Denominator?
The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD). The smallest number that may be used as the denominator to produce a group of comparable fractions that all have the same denominator is known as the lowest common denominator.
The given fractions are 8/9 and 5/8.
The denominators of these fractions are 8 and 9.
so Least Common Divisor(LCD) of 8 and 9 will be = 8 × 9
= 72.
so the equivalent fraction can be calculated as
for 8/9 = \(\frac{8*8}{9*8}\)
= 64/72
and for 5/8 = \(\frac{5*9}{8*9}\)
= 45/72
Hence, the equivalent fractions are 64/72 and 45/72.
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Geometry question I need help
Answers
Answer:
Step-by-step explanation:
Can you please help with both? :)
Answers
Answer:
12, 20
Step-by-step explanation:
Don't worry I just know
Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same?
Answers
Answer:
x=100
Step-by-step explanation:
50/x=10/20 and 10/50=20/x
50/x=10/20
Cross multiplication
50*20=x*10
1000=10x
x=1000/10
x=100
Check:
50/100=
Divide by 5
10/20
10/50=20/x
Cross multiplication
10*x=50*20
10x=1000
x=1000/10
x=100
They are the same because the fraction that has the unknown both have the same ratio
Answer:
The anser is d edge 2020 lol
Step-by-step explanation:
Graziano predicted that he would sell 420 tablecloths. He actually sold 520 tablecloths. What are the values of a and b in the table below? Round the answer to the nearest tenth.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Tablecloths
420
520
a
b
a = -100/420; b = -23.8%
a = -100/520; b = -19.2%
a = 100/520; b = 19.2%
a = 100/420; b = 23.8%
Answers
Answer
-19.2
Step-by-step explanation:
Answer:
-19.2
Step-by-step explanation:
Yes
Liz is making cookies for the annual bake sale at her
school. Each batch of cookies takes 2 3/4 cups of flour. If Liz
needs to makes 6 batches, how many cups of flour will
she need for all six batches?
Answers
Answer:
9
Step-by-step explanation:
It is very simple, 3/4 * 2 = 1.5
If we take 1.5 and multiply it by the amount of batches being made (6), we will have our answer.
1.5*6 = 9, so there we have our answer.
Hope this helps!
write a unit rate for each statement c) 13 bottles of juice for $3.49
Answers
Answer:
12 miles
Step-by-step explanation:
30 miles÷2.5 hours
30 miles ÷2.5
2.5 hours ÷2.5
12 miles = 1 hour
12 miles per hour
As a race is finished the amount of elapsed time for the racer is recorded. what measurement scale is this?
Answers
The answer is Numeric.
What is a measuring scale?Items are weighed on a scale to determine their weight. In order to ensure that the components are utilized exactly as specified in the recipe, they are frequently used in cooking.The four common scales of measurement—nominal, ordinal, interval, and ratio—were created by psychologist Stanley Stevens.The type of measurement scale to be used for statistical measurement depends on the type of data being collected. There are various types of measurement scales. The nominal, ordinal, interval, and ratio scales are the four measurement scales that make up this set.What measurement scale is this?
There are mainly two types of variables
Numerical(quantitative): observations that can be measured in numerical form
Agin two types: ratio scale and interval scale
Categorical(qualitative ): named categories
Again two types: Ordinal or nominal
Her in the given an example,
Measured time of race have numerical observations
The measurement scale is Numeric.
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12 more than quotient of a number k and 5
Answers
Answer:
(k/5)+12 represents the question described
The required equation is 12 + k/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
12 more than quotient of a number k and 5
Converting them into numerical form,
quotient of a number k and 5 = k/5
Therefore 12 more than quotient of a number k and 5 is written as,
12 + k/5
this is the required equation for the given statement.
Thus, the required equation is 12 + k/5.
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Question #4
What is another way to describe an angle that measures 265 clockwise?
Show your work.
Answers
Answer:
An angle whose measure is equal to 90° is called a right angle. A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.