Answers
EXPLANATION:
Given;
We are given a half sphere placed inside a cylinder.
The dimensions of both solid shapes are as follows;
\(\begin{gathered} Hemi-sphere: \\ radius=3ft \end{gathered}\)\(\begin{gathered} Cylinder: \\ radius=3ft \\ height=5ft \end{gathered}\)The volume of a hemisphere is given by the formula;
\(Volume=\frac{2}{3}\pi r^3\)We shall substitute the values given and we'll have;
\(Volume=\frac{2}{3}\times\pi\times3^3\)\(Volume=\frac{2}{3}\times\pi\times27\)\(Volume=18\pi ft^3\)The volume of a cylinder is given by the formula;
\(Volume=\pi r^2h\)We now have;
\(Volume=\pi\times3^2\times5\)\(Volume=45\pi ft^3\)Therefore, the volume of the composite figure is;
\(Volume=hemisphere+cylinder\)\(Volume=18\pi+45\pi\)\(Volume=63\pi ft^3\)ANSWER:
\(Volume\text{ }of\text{ }the\text{ }composite\text{ }figure=63\pi ft^3\)Related Questions
Help me thank y so much
Answers
The relation is:
(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)
Is a function, because each element in the domain is mapped to a single element in the range.
Do the ordered pairs represent a function?A relation maps elements from one set, called the domain, into another set, called the range.
For example, the element x mapped into element y is written as (x, y).
Particularly, a relation is a function if each element from the domain is mapped into only one element of the range.
So, if we had two points like (2, 4) and (2, 5), then the relation is not a function (because the element 2 is mapped into two different elements of the range).
Here the relation is:
(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)
So the input x = 1 appears twice, but both times is mapped to the same element, so this relation is a function.
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What fraction is less than 5/8
Answers
Answer:
1/2 is 1 example
Step-by-step explanation:
what
A fraction that is less than 5/8 is 4/8
How to determine the fraction?The fraction is given as:
Fraction = 5/8
A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8
Take for instance, the numerator can be
1 to 4
So, we have;
Smaller fraction = 4/8
Hence, a fraction that is less than 5/8 is 4/8
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Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month
Answers
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
The option that describes a continuous distribution include:
A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.A continuous distribution simply means the probabilities of the values of a continuous random variable.
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where does 17 lies between
Answers
Answer:
it lies between 16 and 18
Step-by-step explanation:
Answer:
16 and 18
Step-by-step explanation:
Use formula to find the area of the figure
Answers
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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A shoe store is selling a pair of shoes for $60 that has been discontinued by 25%. What was the original selling price?
show your work plssss!!
Answers
Answer:
$80
Step-by-step explanation:
The shoe is being sold for 75% (100%-25%) of the original price. So in order to calculate the original price, divide the discounted price ($60) by 75%.
60/0.75 = 80
Zariah's dash times for her first four races were 14, 13.4, 12.8, and 12.2 . Assuming race times will decrease at the same rate. Write an equation for the arithmetic sequence (Hint: find the first term and the common difference first.)
Answers
An equation for the arithmetic sequence is aₙ=14.6-0.6n.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, Zariah's dash times for her first four races were 14, 13.4, 12.8, and 12.2.
Here, first term (a)=14 and common difference (d)= 13.4-14= -0.6
Now, aₙ=14+(n-1)×(-0.6)
aₙ=14-0.6n+0.6
aₙ=14.6-0.6n
Therefore, an equation for the arithmetic sequence is aₙ=14.6-0.6n.
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trish has a square garden with side lengths of 8 feet. She expanded her garden to 10 feet by 8 feet. by how many square feet did she expand her garden?
Answers
Answer:
14 square feet
Step-by-step explanation:
8x8=64
8x10=80
80-64=14
Find the Area and Perimeter of both figures!
1)
2 cm
A=
5 cm
6 cm
3 cm
P=
2)
Answers
where is the figures to solve.
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
Answers
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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write the sentence as an equation
the product of y and 6, add to 310 is y
Answers
y(6)+310=y
equals is =
product of is ×
add to is +
The area of a circle is 18 pi square inches. If the area of a sector of this circle is 6 pi square inches, then
which of the following must be the sector's central angle?
Answers
Answer:
120°Step-by-step explanation:
Area of a sector = \(\frac{\theta}{360} * \pi r^{2}\ where\ \pi r^{2} \ is\ the\ area\ of\ the\ circle\)
theta is the sector's central angle
Area of the sector = \(\frac{\theta}{360} * \ area\ of\ a\ circle\)
Given area of a circle = 18πin² and area of a sector = 6πin²
On substituting;
6π = \(\theta/360 * 18 \pi\)
Dividing both sides by 18π we have;
1/3 = \(\theta/360\)
\(3 \theta = 360\\\theta = 360/3\\\theta = 120^{0}\)
The sector's central angle is 120°
Find the amount of time. I = $54, P = $800, r= 4.5% The amount of time is years.
Answers
Answer:
1.5 years
Step-by-step explanation:
I = prt
54 = 800(.045)t
54 = 36t
t = 54/36
t = 1.55
Answer:
The amount of time is 1.5 years
.Anne bought 12 kg of pizza dough to make pizzas. She used 3/5 of the
dough and made 15 pizzas. How many kilograms of dough did she
use for 1 pizza?
Answers
Answer:
Step-by-step explanation:
Annie used \(12\times 3/5=7.2\) kg to make 15 pizzas
He needs 0.48kg of dough to make 1 pizza
Step-by-step explanation:Known :Anne bought 12kg of pizza dough to make pizzasShe used 3/5 of the dough to make 15 pizzasAsked :The amount of kg she use to make 1 pizzaSolution :Dough used = 12 x 3/5
Dough used = 7.2kg
Kg of dough/pizza = 7.2/15
Kg of dough/pizza = 72/150
Kg of dough/pizza = 0.48
Conclusion :He needs 0.48kg of dough to make 1 pizza
Graphing proportional relationships
Problem
Graph the line that represents a proportional relationship betweenddd andttt with the property that an increase of 0.20.20, point, 2units intttcorresponds to an increase of1.81.81, point, 8units inddd.
What is the unit rate of change ofdddwith respect tottt? (That is, a change of 111unit intttwill correspond to a change of how many units ind?d?d, question mark)
The unit rate of change is
.
Graph the line.
Answers
a. The unit rate is 9 d per t
b. Find the graph in the attachment
To graph the line, we need to find its gradient or unit rate
a. How to calculate the unit rate of change of d with respect to t?Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.
The gradient or unit rate of change is m = change in d/change in t
= Δd/Δt
Since
Δd = +1.8 units and Δt = +0.2 unitsSo, substituting the values of the variables into the equation, we have
m = Δd/Δt
= + 1.8 units/+ 0.2 units
= 9 d per t
So, the unit rate is 9 d per t
b. The graph of the line
To graph the function, we need to know the equation of the graph.
So, the equation of a graph in gradient form is
m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin
Since m = 9, we have
m = (y - y')/(x - x')
9 = (y - 0)/(x - 0)
9 = y/x
y = 9x
So, the equation of the line is y = 9x
Find the graph in the attachment.
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Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
You have different video games. How many different ways can you arrange the games side by side on a shelf? You can arrange the different video games in nothing different ways.
Answers
Answer:
See Explanation below
Step-by-step explanation:
This question has missing details because the number of video games is not stated;
However, you'll arrive at your answer if you follow the steps I'll highlight;
The question requests for the number of arrangement; That means we're dealing with permutation
Let's assume the number of video games is n;
To arrange n games, we make use of the following permutation formula;
\(^nP_n = \frac{n!}{(n-n)!}\)
Simplify the denominator
\(^nP_n = \frac{n!}{0!}\)
0! = 1; So, we have
\(^nP_n = \frac{n!}{1}\)
\(^nP_n = n!\)
Now, let's assume there are 3 video games;
This means that n = 3
\(^3P_3 = 3!\)
\(^3P_3 = 3 * 2 * 1\)
\(^3P_3 = 6\ ways\)
So, whatever the number of video games is; all you have to do is; substitute this value for n;
if y=1/4x and x=-12 find y
Answers
Answer:
y=-3
Step-by-step explanation:
Use an associative law to find an expression equivalent to
s + (r + 75)
Answers
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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Classify the expression: −2x
Answers
Answer:
linear expressions is the answer
Please help with Solving the following division with steps so I can understand.
a^2+2ab+b^2 / -2a
Answers
The simplified form of \(a^2 + 2ab + b^2 / -2a\) is \(- (a+b)^2 / 2a.\)
What is an algebraic expression?
An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent quantities or values that can vary, depending on the values assigned to the variables in the expression. Algebraic expressions can be simple or complex, and they can have one or more variables.
To simplify the expression \(a^2 + 2ab + b^2 / -2a\), we can follow the steps below:
1) Factor the numerator \(a^2 + 2ab + b^2\) using the formula \((a+b)^2 = a^2 + 2ab + b^2\). This gives us:
\((a+b)^2 / -2a\)
2) Simplify the expression (a+b)^2 by expanding it:
\(a^2 + 2ab + b^2 / -2a\)
3) Replace the numerator in the expression with the expanded form of \((a+b)^2\):
\((a^2 + 2ab + b^2) / -2a\)
4) Distribute the negative sign across the terms in the numerator:
\((-a^2 - 2ab - b^2) / 2a\)
5) Factor out a negative sign from the numerator:
\(-(a^2 + 2ab + b^2) / 2a\)
6) Simplify the expression in the numerator by recognizing that it is the negative of (a+b)^2:
\(- (a+b)^2 / 2a\)
Therefore, the simplified form of \(a^2 + 2ab + b^2 / -2a\) is \(- (a+b)^2 / 2a.\)
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The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation:
portion of square empty = 256 - 153.86 = 102.14cm^2
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answers
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
An MP3 player is on sale for $162.00 after a 10% discount. What was the original price?
Answers
Answer:80
Step-by-step explanation:x is the original price.
x - .25*x is the sale price.
the sale price is 60.00
x - .25*x = 60
x - .25*x is equal to .75*x
.75*x = 60
divide both sides of this equation by .75 and you get:
x = 60/.75 = 80
the original price was 80
25% of 80 = 20
80 - 20 = 60
number look good.
solution is that the original price was 80 dollars.
Answer:
$178.20
Step-by-step explanation:
Because 10% + $162.00
In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes were needed for each of the the other two experiments
Answers
Answer:
as we know Sara need 8 tube in 3 experiment
she will use 2 tube in 1 experiment
now she have 6 tube in other experiments
so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment
Step-by-step explanation:
total tube=8 (3 experiment)
used =2tube (1 experiment)
remaining=8-2=6
now ,
dividing 6 into 2 equal part
so,=6/2=3
so 3 tube were used in 2nd experiment and 3in 3rd experiment
HELP!!! answer please help me out
Answers
Answer:
90 degrees
Step-by-step explanation:
since angle A's exterior angle is 90 on a straight line then angle a is 90. 180-90=90 for the rest
Jack says 2÷2=2 and Sam says 2÷2=9 and Paul says 2÷2=1,who is corrcet?
Hello I am new
Answers
Answer:
Paul is correct 2 divided by 2 equals 1
Step-by-step explanation:
If you divide 2 by 2 you get 1 because 2×2=4 and 2×1=2
I really need Help if u give right answer u get brainliest
Answers
Answer:
Step-by-step explanation:
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
Answers
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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3,11,19 find the 38th term
Answers
Answer:
299
Step-by-step explanation:
Each term adds 8 to the previous term
an = a1 + (n-1) * 8
38th = 3 + 37 * 8 = 299