Answers
Question:
A boy makes a cone of diameter 28 cm without a base. He then cuts a smaller cone of diameter 20 cm from the cone. He used the bottom part as a lampshade. If the height of the lampshade is 11cm,
(a) find the volume of the whole cone.
(b) find in cm2, the area of the material used to make the lampshade.
Answer:
(a) V ≈ 16420.1
(b) A ≈ 2690.1 cm²
Step-by-step explanation:
Solution for (a)
Formula: The formula for the volume of a cone is V = 1/3 hπr².
V= πr² h /3 = π × 28/ 2 × 20/ 3 ≈ 16420.0576
16420.0576 in nearest tenths is 16420.1
Therefore, the volume of the whole cone is 16420.1 cm²
Solution for (b)
Formula: A = πrl + πr2.
l = r² + h²
Solving for A
A = πr (r + h²+ r²) = π × 20 × (20 + 112 + 202) ≈ 2690.80077
2690.80077 In nearest tenths, is 2690.1
Therefore, the area of the material used to make the lampshade is 2690.1 cm²
Related Questions
1. Lauri worked full-time at a health club last year earning $23,000. Last year. $1.090 in earnings was needed for one
Social Security credit. Lauri earned 4 credits for the year. (apts)
a. True
b. False
Answers
Answer:
True
Step-by-step explanation:
She actually earned 21 credits, which means she earned at least 4.
Lauri earned 4 credits for the year is false.
What is Division?A division is a process of splitting a specific amount into equal parts.
To earn one Social Security credit, a person needs to earn a certain amount of money each year.
The amount needed for one credit changes each year and is determined by the Social Security Administration.
Given that last year Lauri earned $23,000 and earned 4 credits, we can calculate how much money she earned per credit by dividing her total earnings by the number of credits earned:
$23,000 / 4 credits = $5,750 per credit
Now we can check if $5,750 is equal to $1,090, the amount needed for one credit according to the problem.
$5,750 is not equal to $1,090, so the statement is false.
Hence, Lauri earned 4 credits for the year is false.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2
Can somebody help me with this !!!!!!!thanks
Answers
Given:
The graph of a parabola.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:
[tex]Domain=[-3,\infty)[/tex]
The given function values can be any real number. So, the range of the given graph is:
[tex]Range=(-\infty,\infty)[/tex]
For x=0, we have two values of the function because the graph intercept the y-axis at two points.
Since the graph does not pass the vertical line test therefore the given graph is not a function.
Please say the answer as fast possible with working. It would be so kind if you sended this early
Answers
Answer: 2. 2
3. 110,121,132
4.22,110
5.4.5
Step-by-step explanation:
2. 20-12=8, 8divided by 4=2
3. 363 divided by 3=121(this is the avg of the consecutive multiples so one multiple must be 11 above and another 11 below
4.66 divided by 3=22, 22x 2 and 22 x 5
5.2 x2=4, 13-4=9, 9 divided by 2 is 4.5
Dash collects data on the hair lengths of a random sample of seventh-grade boys in his school.
The data are clustered between and inches and between and inches. Dash can infer from the data that seventh-grade boys in his school have both short and long hair.
Answers
Answer:
[tex]First\ interval: \frac{1}{2} \to 2 \ inches[/tex]
[tex]Second \ interval: 3\frac{1}{2} \to 4\frac{1}{2} \ inches[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
To do this, we simply consider the intervals of the hair lengths where they are lots of data; i.e. where frequency is greater than 1
For the first cluster, we can select the following interval
[tex]\frac{1}{2} \to 2[/tex]
Because;
hair length [tex]\frac{1}{2}[/tex] has a frequency of 3
and the data continues till hair length 2 which has a frequency of 2
For the second cluster, we can select the following interval
[tex]3\frac{1}{2} \to 4\frac{1}{2}[/tex]
Because;
hair length [tex]3\frac{1}{2}[/tex] has a frequency of 3
and the data continues till hair length [tex]4\frac{1}{2}[/tex] which has a frequency of 2
Note that, hair lengths with 0 or 1 as their frequency were not selected as part of the cluster
Does it matter which equation you use to plug the value of y into?
Yes or No
Answers
Answer:
Nope, as long as the y value is correct it won´t matter in the slightest.
Step-by-step explanation:
Hope this helps! Have an Amazing day!!
Step-by-step explanation:
No we can use x in the equation.
Please answer my question
Answers
Answer: C
Step-by-step explanation:
Solve this equation by using the substitution method. Make sure you show ALL your work.
y=x+3
y+4=−6x
Answers
Step-by-step explanation:
substitute for y
x+3+4 = -6x
x+ 7 = -6x
7 = -7x
-1 = x
y = -1+3
y = 2
In which situation would blinking be beneficial for a animal?
A. When preparing for a long winter
B. When in a really cold environment
C. When in a hot, humid environment
D. When caught in a desert sandstorm
Answers
Answer:
D
Step-by-step explanation:
So you can protect your eyes.
Answer: D. When caught in a desert sandstorm
[tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex]
Evaluate the expression 263 + 5 when b = 3.
263 +5 = 2(3): +5
=
Answers
Given:
The expression is:
[tex]2b^3+5[/tex]
To find:
The value of the given expression when [tex]b=3[/tex].
Solution:
We have,
[tex]2b^3+5[/tex]
Substituting [tex]b=3[/tex] in the above expression, we get
[tex]2b^3+5=2(3)^3+5[/tex]
[tex]2b^3+5=2(27)+5[/tex]
[tex]2b^3+5=54+5[/tex]
[tex]2b^3+5=59[/tex]
Therefore, the value of given expression at [tex]b=3[/tex] is 59.
Answer:
The answer is 59
Step-by-step explanation:
2b³ + 5, b = 3
2(3)³ + 5
2 × 27 + 5 = 59
Thus, The answer is 59
-TheUnknownScientist
Please help! I need this to pass. If you are trying to get points please just chose a different question and don't mess with mine. I am in a state of trouble and I just need a helping hand.
Answers
Given:
Post office is located at P(1,5).
Market is located at Q(4,9).
To find:
Distance between the post office and the market.
Solution:
Distance between two points is:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The post office is located at P(1,5) and the market is located at Q(4,9). So, the distance between the post office and the market is:
[tex]PQ=\sqrt{(4-1)^2+(9-5)^2}[/tex]
[tex]PQ=\sqrt{(3)^2+(4)^2}[/tex]
[tex]PQ=\sqrt{9+16}[/tex]
[tex]PQ=\sqrt{25}[/tex]
[tex]PQ=5[/tex]
The axes show distance in miles.
Therefore, the distance between the post office and the market is 5 miles.
I will mark Brainliest for first and correct answer. PLEASE NO LINKS
Mark checks the cost of pens at several stores to determine the best deal. Which choice gives the lowest cost per pen?
a) $7 for a pack of 5 pens
b) $15 for a pack of 10 pens
c) $18 for a pack of 15 pens
d) $48 for a pack of 30 pens
Please also explain how you got the answer even better the working
Answers
C
please mark brainiest
you would have to gather the amount of money of each pin pack for it for example $7 / 5 that will be $1 with 40 cents 15 / 10 = $1.50 18 / 15 equals 1.20 and 40 / 30 = 1.6 which the less amount of money would be c
On the drawing for a house plan, the master bedroom is rectangular and has dimensions of 2.25 inches by 2.5 inches. If the scale of the drawing is inch = 1 foot, what is the actual area of the master bedroom? Make sure to label your answer.
Answers
Answer:
0.03906square foot
Step-by-step explanation:
Given the dimension of the bedroom yo be 2.25in by 2.5in
First we need to convert to foot
2.25in = 0.08333×2.25 = 0.1875feet
2.5in = 0.08333×2.5 = 0.2083feet
Area of the rectangular bedroom = length × width
Area of the rectangular bedroom = 0.1875×0.2083
Area of the rectangular bedroom = 0.03906square foot
Ana made one container of berry juice and served it to her friends at a picnic. The container served 8 people. What would be a reasonable amount of juice in the container?
A. 0.5 liter
B. 1 liters
C. 2 liters
D. 18 liters
Answers
Answer:
azsxdfghjmk,l,kjhgfd
Step-by-step explanation:
What is 235.48 - 12.7?
Answers
Answer: 222.78
Step-by-step explanation:
Rate this 1-10
When I think of you happiness hits me
It did until you played my heart the wrong way at least
But nah that's alright I will deal with you.
I feel du.mb for allowing you to do this to me
I get sad, mad, depressed, and pis.sed everytime
I no longer want you, you hurt me I hurt you
Never again will I make this mistake
Good job making a happy guy mad
This is why I dont trust girls with my heart
So dont break me next time we guys are fragile
If you dont think so do this to another guy
I will not allow you to be like this ever again
Dont play with me next time
But this will not bother me because I dont care
I am going to my old ways of barely any emotions
I wont let this get to me, Good bye my queen
Answers
Answer:
Solid 7
Step-by-step explanation:
Sarah donated $920 for a new park. Sarah's brother donated $850. How much more money did Sarah donate?
Answers
Answer:
Sarah donated 70 more dollars.
Step-by-step explanation:
The Phase “How much more” let’s us know that we are subtracting the amounts. 920- 850 is 70.
HEEEEEEEELLLLLPPPPPPP Me PLease!!!!
Answers
Answer:
I think That answer is A.
Step-by-step explanation:
If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
‼️‼️‼️‼️HELP ME DUE SOON The graph below shows a proportional relationship between x and y.
y
What is the constant of proportionality, ?
Answers
Answer:
3.5
Step-by-step explanation:
the point is (1, 3.5)
since k= y/x
3.5/1 =3.5 or 7/2
Guido tiene la cuarta parte de la edad de su padre Andrés y el triple de la edad de su hermano David. ¿Qué edad tiene cada uno, si sus edades suman 48 años?
Answers
Answer:
Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.
Step-by-step explanation:
Con la información proporcionada, sabes que la edad de los tres suma 48, lo que se puede expresar como:
x+y+z=48, donde:
x es la edad de Guido
y es la edad de Andrés
z es la edad de David
Además, de acuerdo al enunciado puedes decir que la edad del papá Andrés es cuatro veces la edad de Guido y que la edad de David es la tercera parte de la edad de Guido y puedes escribir las siguientes ecuaciones:
y=4x
z=x/3
Ahora puedes reemplazar estas dos ecuaciones en la primera y despejar x:
x+4x+x/3=48
5x+x/3=48
16x/3=48
16x=48*3
16x=144
x=144/16
x=9
Después, puedes reemplazar el valor de x en y=4x para encontrar el valor de y:
y=4x
y=4*(9)
y=36
Finalmente, debes reemplazar el valor de x en z=x/3 para encontrar el valor de z:
z=x/3
z=9/3
z=3
De acuerdo a esto, Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.
What is the total of pens produced at the factory in a week when 21,000 blue pens are produced?
Answers
Answer:
B.A factory produces blue pens and black pens. Each week, 2/2=3
of the pens produced at
the factory are black.
Step-by-step explanation:
Answer:
D f f t f
Step-by-step explanation:
Tvtctctc
Bella is shopping for a 60" TV. She has found the following options that she likes. Bella wants to get the best deal on her TV. Which one should she buy?
TV #1 - $899 on sale for 30% off with no sales tax
TV #1 - $899 on sale for 30% off with no sales tax
TV #2 - $999 on sale 40% off with 5% sales tax
TV #2 - $999 on sale 40% off with 5% sales tax
TV #3 - $599 with no discount and 6% sales tax
TV #3 - $599 with no discount and 6% sales tax
TV #4 - $749 on sale for 20% off with 10% sales tax
TV #4 - $749 on sale for 20% off with 10% sales tax
Answers
Answer:
TV #3
Step-by-step explanation:
The others cost more.
Sallys grandmother made 16 pints of jam. How many cups of jam did she make?
Answers
Answer:
32 cups
There are 2 cups in one pint. So, 16 times 2 = 32
Answer:
32 cups
Step-by-step explanation:
What is the value of x in -2 + 3xy = 20?
Answers
Answer:
x= 22 /3y
Step-by-step explanation:
brainliest?
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for every 10 cups of oil.
Theatre B uses cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
Remember that ratio relationships can be described with equations. Let O represent oil, P represent popcorn kernels, and S represent salt. Which statement is true about the value of the oil to salt ratio for Theater B?
For Theatre B, the ratio of oil to salt can be described by the equation O = 8 × S.
For Theatre B, the ratio of oil to salt can be described by the equation O =1/8×S.
For Theatre B, the ratio of oil to salt can be described by the equation S = 8 × O.
Answers
Answer:
the answer is C
Step-by-step explanation:
helppp plss i don’t understand this at all
Answers
Answer:
Look at explanation
Step-by-step explanation:
Well according to the picture (it doesn't have the full problem so this is what I can explain):
To make 1 dozen cupcakes (x), you need 1 cup of butter (y). (Or you can see in the question on the picture: y = 0.5x)
So let's say, he wants to make half a dozen cupcakes, he would need 0.5 cups of butter. How many cups of butter he uses is how many dozens he can make.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
need help please! tia
Answers
.......................................
Answers
Answer:
Step-by-step explanation:
d
Anybody help me please!!!!!!!!!!!
Answers
Answer:
4th option
Step-by-step explanation:
A rare book was purchased for $200 and then it was sold for $400. What percent increase was that
Answers
Answer:
100% increase
Step-by-step explanation:
An object is launched at 29.4 meters per
second (m/s) from a 34.3-meter tall
platform. The equation for the object's
heights at time x seconds after launch is
f(x) = -4.9x2 +29.4x+ 34.3, where y is in
meters. What is a reasonable domain for
this scenario?
a [0,7]
b [0, 34. 3]
c [0,00)
d(-00,00)
Answers
Answer:
The reasonable domain for the scenario is option 'a';
a) [0, 7]
Step-by-step explanation:
For the projectile motion of the object, we are given;
The speed at which the object is launched, v = 29.4 meters per second
The height of the platform from which the object is launched, h = 34.3 meter
The equation for the height of the object as a function of time 'x' is given as follows;
f(x) = -4.9·x² + 29.4·x + 34.3
The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;
At the height from which the object is launched, x = 0, and f(x) = 34.3
At the ground level to which the object can drop, f(x) = 0
∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0
-4.9·x² + 29.4·x + 34.3 = 0
By the quadratic formula, we have;
x = (-29.4 ± √(29.4² - 4 × (-4.9) × 34.3))/(2 × (-4.9)
∴ x = -1, or 7
Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7
Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].