Answer:
155in³, 465in³
The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.
Step-by-step explanation:
Formula: πr²[tex]\frac{h}{3}[/tex]
Given: π = 3.14, r = 4.6, h = 7
Sub: 3.14(4.6)²[tex]\frac{7}{3}[/tex]
SImplify: 3.14(21.16)[tex]\frac{7}{3}[/tex]
Simplify: (66.4424)[tex]\frac{7}{3}[/tex]
Solve: 155
The volume of the cone is 155in³
Formula: (πr²)h
Given: π = 3.14, r = 4.6, h = 7
Sub: (3.14(4.6²))7
Simplify: (3.14(21.16))7
Simplify: (66.4424)7
Solve: 465
The volume of the cylinder is 465.
Since the last term of the cone is 1/3 of the last term of the cylinder, we can say:
The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.
7b-2/5 = 6b-7/5
Solve for b.
Answer:
b = -1
Step-by-step explanation:
here's your solution
=> 7b - 2/5 = 6b - 7/5
=> 7b - 6b = -7/5 + 2/5
=> b = (-7+2)/5
=> b = -5/5
= b = -1
hope it helps
Answer:
b = -1
Step-by-step explanation: I put all the like terms together by moving 6b and -2/5, which then changed their signs to negative and positive, respectively.
7b-2/5 = 6b-7/5
7b-6b = 2/5-7/5
b = -1
I hope this helps. :)
What is the area of a regular decagon if the length of each side is 20 units?
Answer:
Area ≈ 3077.68
Explanation:
See attached image for equation
what is the measure of <1?
Answer:
∠ 1 = 72°
Step-by-step explanation:
(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is
4n - 2 + 2n + 17 = 180
6n + 15 = 180 ( subtract 15 from both sides )
6n = 165 ( divide both sides by 6 )
n = 27.5
Then
2n + 17 = 2(27.5) + 17 = 55 + 17 = 72
∠ 1 and 2n + 17 are vertical angles and congruent , so
∠ 1 = 72°
a reactangular court measures 600 cm wide and 700 cm long find the perimeter?
plan:
what operation will u use?
what is the number sentence?
solve:
... answer this pls!!!!
Answer:
2(l+b)
2(600cm+700cm)
2(1300cm)
2600cm
Therefore, the perimeter of the rectangular court is 2600cm.
x - 3/2 = 3. Please show your work. Will mark BRAINLIEST
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x-\dfrac{3}{2}=3}[/tex]
[tex]\large\textsf{You have to SIMPLIFY the SIDES of The given EQUATION}[/tex]
[tex]\mathsf{x + (-\dfrac{3}{2}) = 3}[/tex]
[tex]\large\textsf{ADD by } \mathsf{\dfrac{3}{2}}\large\textsf{ to BOTH of the SIDES}[/tex]
[tex]\mathsf{x + (-\dfrac{3}{2})+ \dfrac{3}2{}=3+\dfrac{3}{2}}[/tex]
[tex]\large\textsf{CANCEL out: } \mathsf{-\dfrac{3}{2}+\dfrac{3}{2}}\large\textsf{ because that gives you 0}[/tex]
[tex]\large\textsf{Keep: } \mathsf{3+ \dfrac{3}{2}}\large\textsf{ because that helps solve for your x-value }[/tex]
[tex]\large\textsf{New equation: }\mathsf{x = 3 + \dfrac{3}{2}}[/tex]
[tex]\mathsf{3+\dfrac{3}{2}}[/tex]
[tex]\large\textsf{SOLVE above and you have your ANSWER}[/tex]
[tex]\mathsf{3+\dfrac{3}{2}=\bf \dfrac{9}{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: }\mathsf{\bf x = \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
At the tasty bakery, cupcakes cost fifty cents each.Doughnuts cost a dollar twenty five.How much more do two doughnuts cost than two cupcakes?
Answer:
$1.50
Step-by-step explanation:
The computation is shown below:
Given that
The cost of each cupcakes be 0.50 cents
And, the cost of doughnuts be $25
So for two doughnuts the cost would be 2.50
And, for two cupcakes, the cost would be 0.50 × 2 = 1
So, the more amount would be
= 2.50 - 1
= $1.50
Hence, the same would be considered and relevant too
Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12
Answer:
this is the answer in the image above
Answer:
3672look attachment
Lee buys a computer and a printer for $2,028 The printer costs 30% the price of the computer. What is the price of the computer?
Answer: $1,560
Step-by-step explanation:
Assume the computer's price is x.
This means that expressing the printer in terms of x would be:
= 30% * x
= 0.3x
These two put together represent the cost of $2,028
Expression is:
x + 0.3x = 2,028
1.3x = 2,028
x = 2,028/ 1.3
x = $1,560
Computer was $1,560
Printer was therefore:
= 1,560 * 30%
= $468
A psychologist takes an SRS of 404040 people in their twenties and 606060 people in their fifties and surveys them about their anxieties. Suppose that 48\%48%48, percent of people in their twenties and 28\%28%28, percent of people in their fifties have anxiety about flying. The psychologist will then look at the difference (\text{20's}-\text{50's})(20’s−50’s)left parenthesis, start text, 20, apostrophe, s, end text, minus, start text, 50, apostrophe, s, end text, right parenthesis between the proportions of people with anxiety about flying in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.
Step-by-step explanation:
I need the answer for this question
What function does the graph represent
For the past six winters, what was the mean number of snow days per
winter at Andy's school?
4
4.5
5
O 24
Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.
Step-by-step explanation:
The graph of a function is a parabola that has a minimum at (-1,-2) and goes through the point (0,1).
What is the equation of the function in standard form?
Substitute numerical values for a, b, and c.
y=ax^2+bx+c
Answer:
y = 3x^2 + 6x + 1
Step-by-step explanation:
We're given two points on the graph: (-1, -2) and (0, 1).
The pertinent equation is
y=ax^2+bx+c, but the vertex form would also be useful: y - k = a(x - h)^2.
Note that this parabola opens up, and that the minimum point is also the vertex: (-1, -2).
The vertex is (-1, -2), and so: y + 2 = a(x + 1)^2, and
the graph goes through (0, 1), so we can rewrite y + 2 = a(x + 1)^2 as
1 + 2 = a(0 + 1)^2, or:
3 = a(1)
So now we know that a = 3 and that the equation of this parabola in vertex form is y + 2 = 3(x + 1)^2
Lastly we must put the above result into standard form. To do this, perform the indicated multiplication.
y + 2 = 3(x^2 + 2x + 1) = 3x^2 + 6x + 3
Writing y on the left and all the rest on the right, we get
y = 3x^2 + 6x + 1
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
What is the volume of a piece of granite rock that has a density of 2.75
g/cm3 and a mass of 453.5?
I will report you and get your account blocked if you answer with a link
Answer:164.9
Step-by-step explanation:d=m/v
V=m/d
V=453.5/2.75
V=164.9
What are the numbers with a sum of 9 and product of -10
Answer:
-1 , 10 and 10 , -1
Step-by-step explanation:
hello :
if x , y this numbers you have the system : x+y =9.....(*)
xy = -10.....(**)
use (*) : y = 9 - x
put this value of y in (**) : x(9-x) = -10
9x - x² = - 10
x²-9x - 10 = 0
(x+1)(x-10)=0 means : x+1 = 0 or x -10 = 0
x = - 1 or x=10
if : x= -1 y = 9-(-1)=10
if : x= 10 y = 9-(10)=1
Duane has 30 pairs of socks in a drawer. He has 6 matched pairs and the rest are of his
pairs of socks mismatched. He packed 1/2 of his mismatched pairs in his duffle bag for a
week at summer camp. How many pairs of socks is Dune packing for summer camp?
Answer: 12
Step-by-step explanation:
Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:
= 30 - 6
= 24 mismatched socks
Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:
= 1/2 × 24
= 12
Therefore, he packed 12 socks for summer camp.
Please answer correctly! I will mark you Brainliest! Pictures go together!
Answer:
98
Step-by-step explanation:
i am smart
What is the area of this shape?
Answer:
12mm (triangle)
165mm (whole shape)
Step-by-step explanation:
The triangle is 6 x 4 = 24 ÷ 2= 12
(divide by 2 because its a teiangle)
2nd shape is 10 x 8 = 80
3rd shape is 6 x 12 = 72
72 + 80 + 12 = 165mm
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 m3, what equation shows you how you can find the depth of the pool?
Answer:
volume= length x width x height
Step-by-step explanation:
In this instance the height will represent the depth of the pool.
To actually solve it it would look like
2500=(22)(40)(h)
2500=880(h)
2.84=h (or depth)
“Peaches at the Farmer’s Market cost $2.70 per pound.”
is that proportional or non-proportional?
Answer:
non-proportional
Step-by-step explanation:
Students' bicycles are parked in the bicycle rack. There are 8 red,
10 blue, 3 black, and 4 other colors. Select whether each statement
is true or false
Answer:
True.
False.
True.
What’s the answer to this!!!
Answer:
8.54
Step-by-step explanation:
Answer:
c = 8.5
Step-by-step explanation:
a² + b² = c²
8² + 3² = c²
64 + 9 = c²
c² = 73
[tex]\sqrt{c^2} =\sqrt{73}[/tex]
c = 8.5
Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number picked is either a multiple of 5 or an odd number?
Given:
Slips of paper numbered 1 to 15 are placed in a box.
To find:
The probability that the number picked is either a multiple of 5 or an odd number.
Solution:
We have,
Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
No. of total outcomes = 15
Multiple of 5 are 5, 10, 15.
Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.
Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.
No. of favorable outcomes = 9
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{9}{15}[/tex]
[tex]\text{Probability}=\dfrac{3}{5}[/tex]
[tex]\text{Probability}=0.6[/tex]
Therefore, the probability that the number picked is either a multiple of 5 or an odd number is 0.6.
The locker combination consists of 4, single digits ranging 0-9. How many possible combinations are there?
Answer:
10000 possible combinations
Step-by-step explanation:
Number of digits = 4
Range of values of each digit = 0 - 9
Number of digits in range = 10
Hence, each digit could be = (1 - 10)
1st digit = 10
2nd digit = 10
3rd digit = 10
4th digit = 10
Total possible combination :
10 * 10 * 10 * 10 = 10000 possible combinations
Angles 2 and 8 are called alternate exterior angles what do you notice about alternate exterior angles select all that apply
Answer:
Step-by-step explanation:
m = 2(x + n) Solve for n
Answer:
Hi! The answer to your question is [tex]n=m/2-x[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Answer:
n= 1/2 m−x
Step-by-step explanation:
m=2(x+n)
Step 1: Flip the equation.
2n+2x=m
Step 2: Add -2x to both sides.
2n+2x+−2x=m+−2x
2n=m−2x
Step 3: Divide both sides by 2.
2n/2 = m−2x /2
n= 1/2 m−x
Hopes this helps
You ask people outside a polling station who they voted for until you find someone who voted for the independent candidate in a local election. Assume that the probability of meeting someone who voted for the independent is 0.3. What is the average number of meetings before you can meet an independent voter?
Please help, I'm desperate.
which situation cannot be represented by the equation x + 10 = 45?
Answer:
x+10=45
x+10-45=0
x-35=0
x=35
please help me ?.?.....................
It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does it take Bobby to build the robot by himself?
Answer:
24 hours
Step-by-step explanation:
The computation of the number of hours taken by Bobby to build the robot by himself is shown below:
Given that
Bobby could take 12 hours
Together they could build in 8 hours
So based on the above information
the number of hours taken by Bobby to build the robot by himself is
Let us assume the above line be x
So,
[tex]\frac{1}{8}-\frac{1}{12} = \frac{1}{x} \\\\\frac{6 - 4}{48} = \frac{1}{x} \\\\\frac{2}{48} = \frac{1}{x} \\\\x = \frac{48}{2}[/tex]
x = 24 hours