1) To determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.
2) To determine the surface area and volume of a sphere, we must know the radius of the sphere.
3) The volume of the sphere with a great circle of radius 7 cm is 1436.75 cubic centimeters
4) The area of a regular pentagon with radius 5, and each side of length 6 is 45 square units
To determine the surface area of a right cone:
The formula for the surface area of a right cone is,
A = πr[r + √(h² + r²)]
this means, to determine the surface area of a right cone, we must know the radius of the circular base and height of the cone.
To find the surface area and volume of a sphere:
The formula for the surface area of sphere is,
A = 4πr²
and the formula for the volume of sphere is,
V = 4/3 πr³
This means, to determine the surface area and volume of a sphere, we must know the radius of the sphere.
For a sphere with radius r = 7 cm the volume would be,
V = 4/3 * π * 7³
V = 1436.75 cubic centimeters
Now we need to find the area of a regular pentagon with radius 5, and each side of length 6.
The formula for the area of a regular pentagon is:
A = 1/2 × P × a
where 'p' is the perimeter of the pentagon and 'a' is the apothem of a pentagon.
The perimeter of the pentagon is:
P = 5 * side lengths
P = 5 * 6
P = 30 units
We know that an apothem of a regular polygon is a radius of the inscribed circle.
From given dimensions, a = 5 units
so, the area of a regular pentagon would be,
A = 1/2 × 30 × 5
A = 45 square units
Therefore, the area of a regular pentagon is 45 square units
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How many 2 1/3 m lengths of rope can be cut from a rope of length 21 m?
Can I get some help solving this question I've got a picture to help
Answer:
Step-by-step explanation:
1. Inequality will switch
2. Inequality will stay the same
3. Inequality will stay the same
4. Inequality will switch
if a vehicle is going 72mph, how many feet does the vehicle travel in one second?
72 mph = 105.6 ft/second
In order to convert any value from mph the following formula can be referred to:
speed in miles per hour x 5,280 = speed in foot per second
Therefore when 72 miles per hour is converted to foot per second would equal to the following value:
105.6 feet per second
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given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole
A segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .
Given :
given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .
You are asked to construct P such that :
PB / AP = AP / AB
This ratio is the reciprocal of the Golden Ratio.
( AP )^2 = PB * AB
( AP )^2 = PB * ( AP + BP )
( AP )^2 = PB ( AP ) + ( BP )^2
Divide by PB^2 on both sides
ф^2 = ф + 1
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A. Jesse and Mya are playing the integer card game.The cards in jesse's hand are 3,-5,9 and -6.What is the total score of jesse's hand?
B. Jesse picks up two more cards but they do not affect his overall point total.State the value of each of the two cards and tell why they do not affect his overall point total?
(a) The total score of Jesse's card is 1
(b) The value of each of the two cards can either be 0 or cards with different signs
In the question,
(a) Jesse's card are 3 , -5 , 9 and -6
We have to find the total
You should know that,
Adding a positive integer is like addition but adding a negative integer is like subtraction
So, Total score = 3 + (-5) + 9 + (-6)
=> 3 - 5 + 9 - 6
=> 1
Jesse's total score is 1
(b) Jesse has picked two cards which are not affecting her total score
So, either he got two zeroes or two cards with opposite signs with same magnitudes
Like 1 and -1 etc.
The two doesn't affect his score because their effect got cancelled out
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Carol purchased 4 gallons of milk. Which is the BEST estimate of the liters of milk she purchased? (1 liter = 0.264 gallons) Responses
Answer: the best estimate could be 20 liters
Step-by-step explanation: it is 20 liters because 1 liter is = 264 gallons so we round up the number and then use regular estimate methods.
Answer:
15 liters
Step-by-step explanation:
4 gal / .264 gal / liter = 15.15 liters = ~ 15 liters
Give the equation of the circle centered at the origin and passing through the point (-11, 0)
Answer:
Step-by-step explanation:
Since we know the general circle equation is in the form
x^2 + y^2 = r^2, where r is radius
Now we are given the information that circle has the origin (0,0) and pass through point (-11,0), which mean the radius is 11 units.
Now we can write the circle equation as
x^2 + y^2 = 11^2
Answer:
the equation for the circle is:
X² +Y² = 11² = 121
7. A five-person committee is to be selected from a group of 12 people. How many
different combinations are possible?
Answer: 792 Combinations
Flying against the wind an airplane travels 7360 kilometers in 8 hours. Flying with the wind the same plane travels 6100 kilometers in 5 hours what is the rate of the plane in still air and what is the rate of the wind
Mr. Fishman decides to build a rectangular pen for his pet llama. He will use the side of his house for one wall of the pen; therefore, he will not need any fencing on that side. On the other three sides, he will use special fencing that costs
$12
per foot. He wants the entire enclosed area to be 2400 square feet. Lastly, he needs four corner posts that cost
$5
each. a) [5 pts] Let
x
represent the length of the side of the pen perpendicular to the house and let
y
represent the length of the side pf the pen parallel to the house. Write a function
C(x)
for the cost of the materials for the Ilama pen in terms of
x
. Simplify your answer. Note: Diagram not to scale. b) [4 pts] Since the Cost Function is not quadratic, you will need to use your graphing calculator to determine the dimensions of the pasture that minimize cost. Set your viewing window on your calculator from
[0,150]
on the
x
-axis and
[0,5000]
on the
y
-axis and provide a labeled sketch of your graph. Then use the CALC capability on the calculator to find the minimum point. Round your answers for both the
x
and
y
dimensions to two decimal places and express your final answer using appropriate units. c) [3 pts] What is the minimum cost for Mr. Fishman to build this Ilama pen? Round your answer to the nearest cent and express your answer with appropriate units.
a) The function C(x) for the cost of the materials for the pen in terms of x
is : c(x) = 24x+(28800/x)+20
b) the dimensions of the pasture that minimize cost is:
x = 24.62 and y = 69.28
c) minimum cost for Mr. Fishman to build this Ilama pen is $1682.77
a) Perimeter of fence = 2x+y
∴ cost of fencing = 12(2x+y)
also cost of poses corner house = 4×5 = 20
∴ Total cost of pen = 24x+!2y+20
But area of the pen = 2400
xy = 2400
y = 2400/x
Putting 1 in total cost c(x)
= 24x+{(12×2400)/x}+20
c(x)= 24x+{28800/x}+20
b) we need to minimize c(x)
using the graphical calculator we obtain
That x = 34.61
x = 34.61 & y = 2400/34.61 = 69.28
c) Minimum value of c(x) = c(34×64) = boxed 1682.77
Minimum cost for Mr. Fishman to build this Ilama pen is $1682.77
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Identify the values of a, b, and c in the following quadratic equation 2x^2-3x+5
a=
b=
c=
Answer:
somone in my class is literally a new York rat
Step-by-step explanation:
1. At a clothing store, a pair of jeans costs $75. Using a coupon, Terese buys the jeans for $18.75 less than the original price. Complete the table.
Dollar Amount
Percentage
% off the original amount.
3.
The coupon gives Terese
How much did Terese pay for the jeans (before tax)?
it is:
4. In a bag of candy, 25% are yellow. There are 60 candies in the bag. How man' yellow candies are there?
5. For one math test, Blair had to answer 35 questions. Of those 35 questions, h answered 27 correctly. What percent did Blair get on his math test? Round to nearest percent.
6. Jeffrey has 60% as much money as Louis. Louis has $110. Select all true
statements.
• Jeffrey has $66.
• Jeffrey has $44.
• Jeffrey has - as much as Louis.
• Jeffrey has as much as Louis.
• Jeffrey has $48.
• Louis has as much as Jeffrey
• Louis has
as much as Jeffrey
1. Completing the percentage table about the payment for a pair of jeans bought by Terese at a clothing store is as follows:
Dollar Amount Percentage
% off the
original amount
$75 25%
2. The coupon gives Terese 25% off the original amount.
3. The amount Terese paid for the jeans (before tax) was $56.25.
4. The number of yellow candies in the bag is 15.
5. In the Math test, Blair, who answered 27 questions correctly out of 35, scored 77 percent.
6. The true statement about the amount of money Jeffrey has concerning Louis is A. Jeffry has $66.
a) Clothing Store:Cost of a pair of jeans = $75
Coupon value = $18.75
Amount paid = $56.25
The coupon percentage = 25% ($18.75/$75 x 100)
b) Bag of Candy:Yellow candy = 25%
The total number of candies in the bag = 60
The number of yellow candy = 15 (60 x 25%)
c) Math Test:The total number of questions = 35
The number of questions answered correctly = 27
Percent scored by Blair = 77% (27/35 x 100)
d) Jeffrey and Louis:The amount of money Louis has = $110
The percentage of Louis' money that Jeffry has = 60%
The amount Jeffry has = $66 ($110 x 60%)
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find the the dimension of the cube 9.261 cent meter cube
Answer:
2.1 cm
Step-by-step explanation:
All the sides of a cube are equal.
let x = side of a cube
Volume of a cube = x³
Therefore x = [tex]\sqrt[3]{9.261}[/tex] = 2.1 cm
Shoppers in two states are asked whether their shopping decisions are made impulsively or after careful consideration. Forty randomly selected shoppers in state A and thirty-six randomly selected shoppers in state B are questioned Shopping Habit State Conscientious ImpulseA 24 16 B 30 6(a) Test at the 5% level whether shoppers in the two states differ with regards to shopping habits. State all assumptions. (b) Find the p-value.
The chi-square test is 5.02 higher than critical value 3.841 so the two states does not differ with regards of shopping habits, and p value is 0.025.
How to calculate test statistic?O = observed value
E = expected value
n = size of sample = 2
df = degree of freedom = n - 1 = 2 - 1
α = significance level = 5% = 0.05
Chi-square is a one of many test statistic, chi-square is a test to see the different from observed value and expected value.
Chi-square formula is,
[tex]\chi^2[/tex] = [tex]\sum\frac{(O_i - E_i)^2}{E_i}[/tex]
Since, in question only give us the observed value, we need to calculate the expected value first.
Expected value conscientious state A can be calculate by this formula
E(ca) = total of state A value × total of conscientious value ÷ grand total
Repeat this process to all observed value.
We use excel to simplified and for precise calculation. Then, we put the obtained value from excel formula to Chi-square formula,
[tex]\chi^2[/tex] = 0.69 + 1.69 + 0.76 + 1.88
= 5.02
a) Critical value for df = 1 and α = 0.05 from chi-square table is 3.841
Since, the result is 5.02 higher than 3.841, it can be concluded that the two states does not differ with regards of shopping habits.
Assumptions for we use is the study group is independent and the each expected value is higher than 5.
b) We use chi-square p-value calculator with P([tex]\chi^2[/tex] > 5.02) and df = 1, α = 0.05. So, we get 0.025.
Thus, two states doesn't differ with regards of shopping habits since chi-square result is higher than critical value, and p value is 0.025.
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Which system of linear inequalities has the point (3, -2) in its solution set?
y < -3; y ≤ 2/3x - 4
y > -3; y ≥ 2/3x - 4
y < -3; y ≥ 2/3x - 4
y > -2; y ≤ 2/3x - 4
The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.
We know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
In option B, we have
y > -3 ----> inequality A
y ≥ 2/3x - 4 ----> inequality B
In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.
Inequality A
y > -3 ----> is true
Inequality B
y ≥ 2/3x - 4 ----> is true
Therefore
The ordered pair is a solution of the system B
As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.
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Can someone please help me asap, This is overdue and i need to get it done and im very confused... !! ILL GIVE BRAINLIST !!
Answer:
Below
Step-by-step explanation:
At B ( 40 mins) and D (30 mins) he is not moving....visiting .
The width of A is the time it took to get to first house = 20 mins
The width of C is t the time to get to second house = 60 to 70 = 10 mins
Riding toward home at C and E ( the distance...the y-value....is getting less)
He is fastest where the line has greatest slope...where it is steepest = C
He was away from home the width of the graph = 115 mins
Use the drop-down menus to complete each statement about the functions f and g
Note: Exponential functions are of the form f(x) = ab^x
-linear/exponential/neither
-differences/quotients
-constant/non-constant
A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
Hence, in this problem, the function g(x) is exponential, as when the input x is increased by one, the output g(x) is multiplied by two.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
Hence, in this problem, the function f(x) is linear, as when the input x is increased by one, the output f(x) is increased by a constant of six.
Missing InformationThe problem is given by the image shown at the end of the answer.
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suppose you roll a special 37-sided die. what is the probability that one of the following numbers is rolled? 35, 25, 33, 9, 19
The probability that one of the following numbers is rolled is 0.135.
We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.
The formula to be used for calculation of probability to roll any one number on the dice -
Probability = number of favourable outcomes ÷ total number of outcomes
Keep the values in formula
Probability = 1/37
Now, for the mentioned five numbers among which any can be rolled, the probability is -
Probability = 5 × (1/37)
Performing multiplication
Probability = 5/37
Performing division
Probability = 0.135
Hence, the probability is 0.135.
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The domestic price of shoes is $80. After trade the price of a pair of shoes is $60. After trade this country will import
The trade this country will import is given by the option (C) 300 pair of shoes.
The number of shoes exported will be calculated by the formula -
Import = quantity demanded - quantity supplied. The formula is based on the concept that the import of shoes will be carried out once the manufacturing is more than the demand.
The graph indicates the quantity demanded is 1000 and the quantity supplied is 1300. Keep the values in formula to find imports.
Imports = 1300 - 1000
Performing subtraction on Right Hand Side of the equation
Imports = 300
Hence, the import is 300.
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The complete question is attached in figure.
A little girl and a little boy stop to each buy a tablet of chocolate. But the little girl is missing 10 cents to pay and the little boy is missing 1 cent. They then decide to buy a tablet together. But they are still missing 1 cent. How much does the chocolate bar cost?
The chocolate bar costs 9 cents. The little girl is missing 10 cents and the little boy is missing 1 cent, so together they are missing 11 cents.
What is cost?Cost is a monetary measure of the amount of resources, such as time or money, that must be expended to produce a product or service. It is a fundamental factor of economic production, as it is necessary to make products and services available to consumers. Cost can be determined in a variety of ways and can be linked to economic theory through the concept of opportunity cost. In business, cost is a major factor in decisions related to production, pricing, and marketing. Cost is also a factor in accounting and budgeting, as it is necessary to track and report the costs of organizational operations.
The chocolate bar costs 9 cents. The little girl is missing 10 cents and the little boy is missing 1 cent, so together they are missing 11 cents. If the chocolate bar cost 9 cents, that would leave 1 cent for them to split.
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When solving a system of equation Jared found?
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression.
In the given question, when solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.
Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation.
We have to check who is correct.
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression. You can then resolve. In contrast to Nicole, who would have produced a one-variable equation that can be used to solve for y, Jared would have produced an equation with just one variable that can be used to get the value of x.
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The right question is:
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation. Who is correct? Explain.
30/4+5•3-9
help me please!! ;)
Answer:
30/4+5•3-9
= 7.5+15-9
= 22.5-9
= 13.5
Step-by-step explanation:
3. The quilt is made of squares with diagonals. (Lesson 3-12)
The length of BD is 4.
a. Find the length of AE.
Answer:2
Step-by-step explanation:took a test
use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is 21 square unit.
We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate
Equation of line passing through (0,5) and (2,-2) is
y-5 = [(-2-5)/(2-0)](x-0)
=>y-5 = (-7) /2x
=>y= (-7/2x)+5 -------(eq1)
Equation of line passing through (0,5) and (5,1) is
y-5 = [(1-5) / (5-0)](x-0)
=>y-5 = (-4/5)x
=>y = (-4/5)x+5-------(eq2)
Equation of line passing from (2,-2) and (5,1) is
y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)
=>y+2=(3/3)(x-2)
=>y=x-4--------(eq3)
Now, we use definite integration to find the area between the different equation of line.
So, area enclosed between the equations is given by the
area =[tex]\int\limits^5_2[/tex][(-4/5)x+5 - (-7/2)x + 5)dx + [tex]\int\limits^5_1[/tex][(-4/5)x+5 -(x-4)]dx
=>area=[tex]\int\limits^5_2[/tex](7/2-4/5)x dx + [tex]\int\limits^5_1[/tex]((-9/5)x+9)dx
Using properties of integration,[tex]\int\limits x\, dx=x^{2}/2[/tex]
=>area=[tex]\int\limits^5_2[/tex](27/10)x dx + [tex]\int\limits^5_1[/tex](-9/5)x+9)dx
=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)
=>area=(27/20)×(25-4) + (-9/5)×24+9×4
=>area = (27×21)/20 + (-216)/5+ 36
=>area=(567/20) - (216/5) + 36
=>area= [(567-261×4)+(36×20)]/20
=>area=[(567-864)+720]/20
=>area=423/20
=>area=21 square unit.
Hence, area of triangle is 21 square unit.
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Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$9.86 , Kendra donates to the charity.
Kendra worked 8 hours and 30 minutes last week
She earns $ 11.60 per hour
She will earn money if she works for 30 minutes = $(11.60÷2)
Therefore,
Total amount of money she earns last week = $((11.60×8) + (11.60÷2))
= $(92.8+5.80))
= $98.6
Kendra donates 1/10th of the total money she earns in a week
Therefore,
Amount she donate last week = total amount she earns last week * 1/10
= $(98.6*1/10)
= $9.86
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Find the sector area for the following:
(Use \large \pi=3.14 when necessary and round your final answer to the hundredths.)
Sector Area =
The Area of the given sector is 14.1 yd²
Define Sector of a Circle
A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.
Given,
radius = 6 yd
Angle θ = 45°
The formula for, Sector Area = (θ / 360°) * πr²
Now, plug in the values
Sector Area = (45 / 360) * 3.14 * 6²
= 14.1 yd²
Hence, the Area of the given sector is 14.1 yd²
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Answer: 4.5
Step-by-step explanation:
sector area = 4.5 on 14.143 yd ^2
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that The probability of being awarded the first job (event A) is 0.75; . The probability of being awarded the second job (event B) is 0.5; and The probability of being awarded both jobs (event (A and B)) is 0.375.
If the owner's beliefs are correct, Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.
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Which statement best describe a parallelogram a parallelogram? A.a quadrilateral with one pair of parallel sides
B.A quadrilateral with two pairs of parallel sides
C.A quadrillateral with two pairs of congruent sides. D.any four sided figure with opposites sides congruent
B.A quadrilateral with two pairs of parallel sides
How do you identify a parallelogram?A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
What is an example of a parallelogram?Few examples of a parallelogram are rhombus, rectangle, and square.
A quadrilateral with both pairs of opposite sides parallel is known as a parallelogram.
Additionally, a parallelogram has the following qualities:
Congruent opposite angles;
The opposing factions are in agreement;
Additional angles can be found nearby;
The diagonals cut each other in half.
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(True or False) with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean.
with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean is false statement.
Sampling is an important tool used to collect data from a population. It is a process by which a subset of individuals from the population is selected to represent the population as a whole. Sampling allows researchers to collect data more quickly and efficiently than if data were collected from the entire population. It is also cost-effective and time-saving. However, it is important to note that no sampling method can guarantee that the sample mean will be exactly the same as the population mean. This is because of the random nature of sampling, which means that a sample mean could be slightly different from the population mean. Therefore, it is important to use appropriate sampling techniques and to be aware of the potential for sampling bias.
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Is this a linear function? y-8= -8(x-2)
Answer:
Yes
Step-by-step explanation:
y-8= -8(x-2) ==> solve for y
y = -8(x - 2) + 8 ==> add 8 on both sides to isolate y
y = (-8 * x - 2(-8)) + 8 ==> distribute -8 to x and -2 using the distribution
property
y = (-8x - (-16)) + 8 ==> simplify
y = (-8x + 16) + 8 ==> subtracting by a negative number is equivalent to
adding by a positive number.
y = -8x + 16 + 8
y = -8x + 24 ==> Degree of x in the equation is 1, so the function is linear
