NEED HELP GEOMETRY ASAP
1. What is the circumference, in inches, of the circular base of the conical hat? Round to the nearest tenth.
2. You want to cover the top of the hat with fabric. What is the surface area, in square inches, that you will cover? (Do not include the base of the cone) Round to the nearest square inch.
Answers
Answer:
1. The circumference of the circular base of the conical hat is 52.36 inches
2. The surface area of the cone that needs to be covered is 262 in.²
Step-by-step explanation:
Here we have that the given parameters are;
Diameter, D of circular = 20 in. = 2 × radius R, of the circle
R = 10 in.
Cut out section of cut out sector of circle = 60°
Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;
The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.
Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.
The formed cone satisfies the equation;
R² = h² + r²
Where:
h = Height of the cone
r = radius of the cone
∴ 10² = h² + 8.33²
∴ h² = 10² - 8.33² = 30.56 in.
The lateral surface area of the cone = π×r×l where l = R, we therefore have;
The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².
The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².
Related Questions
Please help me with this question. I’ll give you Brainliest.
Answers
Answer:
Five
Step-by-step explanation:
A quart is 4 cups
4x5 is 20
the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which house has a long driveway? by how much
Answers
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
There are 3 feet in 1 yardConverting yards to feet, wee need to multiply the number of yards by 3
7 yards = 21 feetSince the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
1 min to fill 16.50 gallons what is the constant
Answers
Answer:constant is 2/33
Step-by-step explanation:
1 min to fill 16.50 gallons
Time(t) varies directly as volume(v)
t α v
t =k x v Where k is constant
1=k x 16.50
k=1/16.50
k=2/33
Constant is 2/33
Parallel lines s and t are cut by a transversal, r.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.
If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°
Answers
Answer:
68°
Step-by-step explanation:
Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal
Answer:
B.
Step-by-step explanation:
16) A rectangle has dimensions of 10 feet by
18 feet. What is the length of the
diagonal?
A) 28 feet B) 20.6 feet
C) 15 feet
D) 424 feet
Answers
Answer:
Step-by-step explanation: 20.6 rounded to the nearest tenth.
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders that arrive on time is 70%±88%.
A. What does this mean? For each conclusion, state whether it is correct or not and explain why. Complete parts a through e below.
B. Between 62% and 78% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.
Answers
Answer:B. Between 62% and 78% of all orders arrive on time. State whether the conclusion is correct or not and explain why. Choose the correct answer below.
Step-by-step explanation:
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%.
a) The correct answer is A
b) The correct answer is B
c) The correct answer is C
d) The correct answer is D.
e) The correct answer is B.
Here, we have,
a) Between 83% and 95% of all orders arrive on time.
The correct answer is A. This statement is correct.
b) 90% of all random samples of customers will show that 89% of orders arrive on time.
The correct answer is B. This statement is not correct. It implies certainty, but in reality, the statement refers to the confidence interval estimate for the proportion of orders that arrive on time based on the sample.
c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.
The correct answer is C. This statement is not correct. No more than 95% of all orders arrive on time. The confidence interval represents the range within which the true proportion is estimated to fall, but it doesn't guarantee that all intervals will cover the true proportion.
d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time.
The correct answer is D. This statement is not correct. The confidence interval provides an estimate of the proportion of orders that arrive on time, not a measure of the company's certainty.
e) On 90% of the days, between 83% and 95% of the orders will arrive on time.
The correct answer is B. This statement is not correct. It implies certainty about the proportion of orders arriving on time, but the confidence interval only provides an estimate based on the sample data and does not guarantee the exact proportion for every day.
To learn more about confidence interval
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complete question:
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%. What does this mean? Are the conclusions below correct? Explain.
a) Between 83% and 95% of all orders arrive on time.
b)90% of all random samples of customers will show that 89% of orders arrive on time. c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.
d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time. e) On 90% of the days, between 83% and 95% of the orders will arrive on time.
a) Choose the correct answer below.
A. This statement is correct.
B. This statement is not correct. It implies certainty.
C. This statement is not correct. No more than 95% of all orders arrive on
D. This statement is not correct. At least 83% of all orders arrive on time.
Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A
Answers
Answer:
Step-by-step explanation:
Use an inequality symbol (<,>,=,<_) to compare -3+7____-10-2
Answers
Answer:
>
Step-by-step explanation:
-3+7= 4
-10-2= -12
4> -12
the x and y for 2x-8y=10
Answers
Answer:
x=13, y=2
Step-by-step explanation:
for this equation you can use a variety of solutions, but you have to choose one (obviously). if you substitute 2 for y, the equation will be 2x-16=10. to make this true, 2x must be equal to 26, so x will be 13 :)
Triangles BAD and BDC are right triangles with AB = 12 units, BD = 15 units, and $BC = 17 units. What is the area, in square units, of quadrilateral ABCD?
Answers
Answer:
The area of the quadrilateral ABCD is 114 square units
Step-by-step explanation:
We must calculate the area of each triangle and then add these areas so we calculate the area of the quadrilateral ABCD
First for the BAD right triangle:
AD = sqrt [BD ^ 2 - AB ^ 2]
AD = sqrt [15 ^ 2 - 12 ^ 2]
AD = sqrt [225-144]
AD = sqrt [81]
AD = 9
The area of a triangle is half the product of the base times the height, that is:
A1 = AB * AD / 2 = 12 * 9/2 = 54
Then for the second triangle in the right triangle BDC:
DC = sqrt [BC ^ 2 - BD ^ 2]
DC = sqrt [17 ^ 2 - 15 ^ 2]
DC = sqrt [289 - 225]
DC = sqrt [64] = 8
We calculate the area
A2 = DC * BD / 2 = 8 * 15/2 = 60
The total area then is:
AT = A1 + A2
AT = 54 + 60 = 114
Which means that the area of the quadrilateral ABCD is 114 square units
very simple why is it that math is the only subject that people seem to care about 50 points
Answers
Answer:
It's popular and hard
Step-by-step explanation:
What is the quotient of 2 3/4 and 5 1/2?
( i am a parent and trying to help my I.E.P 6th grade son, for work since school is shutdown for virus...cant remember alot of the stuff) please help!!
Answers
Answer:
1/2
Step-by-step explanation:
This can be done several ways. Perhaps the easiest is to use the decimal equivalents:
(2 3/4)/(5 1/2) = 2.75/5.5 = 0.5
__
If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:
2 3/4 = (4·2 +3)/4 = 11/4
5 1/2 = (2·5 +1)/2 = 11/2
Now, the problem can be written as ...
(2 3/4) / (5 1/2) = (11/4) / (11/2)
This sort of division problem can be solved two ways:
invert and multiply (the denominator is inverted)
= (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2
use a common denominator (for the two fractions)
= (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2
The quotient is 1/2.
_____
Additional comments
It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.
1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5
__
I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)
"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.
1. Solve the system of equations
-x+y=0
4x - 3y=-3
I
=
Answers
Answer:
x = -3
y = -3
Step-by-step explanation:
To solve this system of equations, you can use the elimination method, which is to have one of the variables match, but be the opposite sign of the other:
- x + y = 0
4x - 3y = -3
The easier one to match is the 1st equation, and to make it match oppositely, you multiply the whole equation by 4:
4(-x + y = 0)
-4x + 4y = 0
4x - 3y = -3
-4x and 4x cancel each other out:
4y = 0
-3y = -3
_______
y = -3
Then plug in -3 for y, into one of the equations:
- x + y = 0
- x - 3 = 0
Add 3 to both sides:
- x = 3
Divide both sides by -1:
x = -3
A family uses two 500ml packets of
milk every day. How many litres do
they use in a month?
A. 2L
B. 20L
C. 281
D. 14L
MATHS
Answers
Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answers
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
hope this helps mark me brainliest if it did
Solve −x^2+4x=54.
x = -54
x = 2
x = 50
No real solutions
Answers
Answer:
x=(-4+√-200)/-2
x=(-4-√-200)/-2
Step-by-step explanation:
Answer:
No real solutions is correct
Step-by-step explanation:
−x^2+4x=54
Move 54 over
−x^2+4x-54=0
Pull out -2
-2(x^2-4x+54)
Solve for the factors
It must multiply to 54 and add to -4
There are no whole number answers.
Hope this helps! Please mark brainliest :)
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box. A standard box with height x inches and width 8 inches. A mini box with height 4 inches and width 3.2 inches. What is the height of the standard size box of Crunch Bunch? 1.6 inches 6.4 inches 10 inches 15.2 inches
Answers
Answer:
The anwser is 10 inches
Answer:
10 inches I got it right on edge 2020
Write the perimeter of the floor plan shown as an algebraic expression in x.
Answers
Answer: 8+2x
Step-by-step explanation:
Hi, Perimeter is the distance around a two-dimensional shape.
To calculate it, we have to add all the side lengths of the figure. The missing side is the ? side (right side). To obtain it we have to subtract the top right side length (2) to the left side length (12)
So, the expression is equal to:
P = 12+ (x-4) + (x-12) +2 +(12-2)
P = 12+ x - 4 +x -12+2 +10
P = 12-4-12+2+10+x+x
P =8+2x
in the first quarter of the game the Giants gained 5 yards lost 13 yards gained 2 yards gained 6 yards and unfortunately lost 12 yards in their final play
Answers
Answer:
They lost a total of -12 yards.
Step-by-step explanation:
Do the calculation.
5- 13= -8
-8 + 2 + 6= 0
0 - 12 = -12
1) Which system of linear equations could the graph represent? A) y = x + 5 y = 2x + 4 B) y = 3x + 6 y = −4x + 8 C) y = −3x + 6 y = −x + 3 D) y = −2x + 6 y = −4x + 8
Answers
Answer:
A
Step-by-step explanation:
Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are two lines are graphed on the same coordinate plane.
And, the lines only intersect at the point (3,6).
Now, We know that;
When Point (3, 6) is lies on line then it satisfy the equation of lines.
Hence, By options;
a. x=3, y=6
Clearly, Point (3, 6) is lies on line.
e. y= x + 3, y= 2x
y = x + 3
y = 3 + 3
y = 6
Hence, Point (3, 6) is lies on line.
Thus, Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
Learn more about the mathematical expression visit:
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complete question:
Two lines are graphed on the same coordinate plane.the lines only intersect at the point (3,6).which of these systems of linear equations could represent the two lines?
a. x=3
y=6
b. x=6+y
y=3+x
c. y=3x-3
y= x-1
d. x=3+y
y=6+x
e. y= x+3
y= 2x
-3b+7=13 solve for b
Answers
Answer:
b =-2
Step-by-step explanation:
-3b+7=13
Subtract 7 from each side
-3b+7-7=13-7
-3b = 6
Divide each side by -3
-3b/-3 = 6/-3
b = -2
Answer:
b=-2
Step-by-step explanation:
-3b+7=13
-7 -7
-3b=6
/-3 /-3
b=-2
A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?
Answers
Answer:
$3,951
Step-by-step explanation:
The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...
2^(13/6) ≈ 4.489848
Its value will be ...
$880·4.489848 ≈ $3,951
-3183.96 cm3
-715.92 cm3
-489.84 cm3
-1469.52 cm3
Answers
Answer:
1469.52 cm3
Step-by-step explanation:
Area of a circle times the height of the cylinder.
Area of a circle = 3.14*6^2 = 113.04
113.04*13 = 1469.52 cm3
Phil wishes to compare the weights of professional athletes to the weights of non-professional athletes. Phil completes a simple random sample of professional athletes and records his results in pounds: 125 147 240 186 156 205 248 152 199 207 176 Phil also completes a simple random sample of non-professional athletes and records his results in pounds: 151 161 139 128 149 160 201 173 The samples are independent and come from normally distributed populations. Use the p-value method and a 2% significance level to test the claim that the mean weights of professional and non-professional athletes are the same. What population parameter is being tested
Answers
Answer: 4
Step-by-step explanation:
Solve for X. Round decimal to the nearest hundredth
Answers
Answer: [tex]129.42m[/tex]
Step-by-step explanation:
We can use a trigonometric function to find x.
In this case, sine works.
[tex]sin=\frac{opposite}{hypothenuse}[/tex]
Solve for hypothenuse.
[tex]hypothenuse=\frac{opposite}{sin}[/tex]
[tex]h=\frac{120}{sin68}[/tex]
[tex]h=129.42m[/tex]
Cuantas bases tiene un prisma
Answers
Answer:
Depende del tipo de prisma del que estés hablando.
Step-by-step explanation:
Un el prisma rectangular tiene 6 bases y un prisma triangular tiene 5 bases. Un prisma triangular sólo tiene dos bases.
I’ve been stuck on this for days plz help:,(
Answers
Answer:
a = 27
b = 81
Step-by-step explanation:
3^{3} = 27
3^{4} = 81
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simplified result is 1718
17
18
. Find the original fraction. (Do NOT simplify.)
Answers
Answer:
[tex]\dfrac{40}{42}[/tex]
Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:
[tex]\dfrac{x}{x+2}[/tex]
If both numerator and denominator are decreased by six, the fraction becomes:
[tex]\dfrac{x-6}{x+2-6}[/tex]
The simplified result is [tex]\dfrac{17}{18}[/tex]
Therefore:
[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]
Substituting x=40 into the initial fraction
[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]
Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]
During a solar eclipse, what is causing the earth’s view of the sun to be darkened?
Best answer gets brainliest.
Answers
Answer:
the moon blocks light from the sun by coming between the earth and the sun
There is one missing number in the “Which One Doesn’t Belong” game.
• Select a number that does not belong with any of the numbers. Explain your reasoning.
• Select a number that has a characteristic similar to the other two numbers. Explain your reasoning.
Answers
Answer:
I am not I understand the game but
1. 17 doesn't belong cause it a prime number and doesn't dived with any of the other numbers and double digit
2. 4 divides with 216 and 8 and single digit similar to 8
Step-by-step explanation:
