Answers
Answer:
Height = 9 cm which means Option C is the answerStep-by-step explanation:
In the question we are given ,
Volume of cylinder = 225π cm³Radius of cylinder = 5 cmAnd , we have to find the height of cylinder .
We know that ,
[tex]
\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow[/tex]
Our solution starts from here :
[tex] \longmapsto \: \pi \: r {}^{2} h = 225\pi[/tex]
Step 1 : Cancelling π with π :
[tex] \longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}[/tex]
Step 2 : Substituting value of radius which is 5 cm in the formula :
[tex] \longmapsto \: (5) {}^{2} \times h = 225[/tex]
[tex] \longmapsto \: 25h = 225[/tex]
Step 3 : Transposing 25 to right hand side :
[tex] \longmapsto \: h = \frac{225}{25} [/tex]
Step 4 : Cancelling 225 by 25 :
[tex] \longmapsto \: \red{\boxed{h = 9 \: cm}}[/tex]
Henceforth , height of cylinder is 9 cm#Keep LearningRelated Questions
Nevaeh has 840 pictures saved on her laptop. Of these
pictures, 20% are nature, 45% are fashion, and the rest
are food. How many pictures in Nevaeh’s computer
are food?
Answers
Answer:
40%
Step-by-step explanation:
20+45=60
100-60=40
Charles bought 11 bottles of juice for $22.33. What is the unit rate?
Answers
Katrina's ski boots cost 8% more than
her skis. Her ski boots cost $162. Which
equation can be used to find the cost, c,
of Katrina's skis?
I need pls!!
Answers
I am not sure about my answer.But I guess it may be correct.Hope the picture will help you..
Miguel cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (note: the home runs are included in the hits data.) if he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?
Answers
The expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Number of bats = 369
Number of hits = 127
Number of home runs = 21
The probability of a hit:
[tex]=\frac{127}{369}[/tex] (includes home run)
The probability of home run:
[tex]=\frac{21}{369}[/tex]
The probability of hit run(without home run)
[tex]=\frac{127}{369}-\frac{21}{369}[/tex]
[tex]=\frac{106}{369}[/tex]
The probability of no hit:
[tex]=\frac{369-127}{369}[/tex]
[tex]=\frac{242}{369}[/tex]
For home run, the score will be 5 points.
If not, a home run score will be 1 points.
If Miguel does not get hit, score will be zero point.
Expected value of Miguel hit at each bat is (without home run):
For 5 hit:
[tex]=\frac{106}{369}[/tex]
For 21 home runs, the points will be 21×5 = 105 (5 points for each home run)
The expected value for this:
[tex]\frac{105}{369}[/tex]
Adding both expected hits, we get:
[tex]=\frac{106}{369}+\frac{105}{369}[/tex]
[tex]=\frac{211}{369}[/tex]
= 0.571 ≈ 0.57
Thus, the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57
Learn more about the probability here:
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Answer:
0.57
Step-by-step explanation:
What value of x is in the solution set of 9(2x 1) < 9x – 18? –4 –3 –2 –1
Answers
Inequalities help us to compare two unequal expressions. The value of x which is the solution set of 9(2x+1)<9x–18 is -4.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To know which value will satisfy the inequality we need to substitute each of the values into the inequality,
A) x=-4
[tex]9(2x+1) < (9x-18)\\\\9[2(-4)+1] < [9(-4)-18]\\\\9(-8+1) < (-36-18)\\\\9(-7) < -54\\\\-63 < -54[/tex]
Since the inequality is satisfied this is the solution set of the inequality.
Thus, the value of x which is the solution set of 9(2x+1)<9x–18 is -4.
Learn more about Inequality:
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Find the missing angle x
Answers
Answer:
144° or 36°- depends on what you are asking.
Step-by-step explanation:
Since there are 190° in a straight line and there is 36° on one side. I then substracted 190-36 to get 144°.
If you are asking for the missing side of the triangle then the answer is 36° since this triangle is an equilateral triangle.
Need help 10 points
Answers
Answer:
have you missed out any option cause i doeant match with any of your options
Triangle EFG has an area of 70 m².
EF: FG= 1:2 and angle EFG = 40°.
(a) Calculate EF.
Answers
The measure of length EF is the triangle EFG has an area of 70 m² is 7.38m
How to calculate the area of a triangle?A triangle is a 2-dimensional shape with 3 sides and angles. The formula for calculating the area of a triangle is expressed as:
A = (EF)(FG) sin theta
If the ratio of EF to FG is 1:2, then FG = 2EF
A = (EF)(2EF) sin theta
70 = 2EF²sin40
70 = 1.2856EF²
EF² = 54.474
EF = 7.38m
Hence the measure of length EF is the triangle EFG has an area of 70 m² is 7.38m
Learn more on area of triangle here: https://brainly.com/question/17335144
If 32 superscript 2 c baseline = 8 superscript c 7, what is the value of c?
Answers
If 32 superscript 2 c baseline = 8 superscript c 7 is the given expression then the value of c is 3.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
The given equation is 32 superscript 2 c baseline = 8 superscript c 7
[tex]32^{2c} = 8^{c+7}[/tex]
Write the expression in exponents form as
[tex](2^5)^{2c} = (2^3)^{c+7}[/tex]
[tex](2)^{10c} = (2)^{3c+21}[/tex]
Comparing the base,
10c = 3c + 21
10c - 3c = 21
7c = 21
c = 21/ 7
c = 3
Therefore, the value of c is 3.
Learn more about exponents;
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Suppose a is between 4 and 5, and b is between 2 and 4. Find all possible values of the expression a/b
Answers
first im guessing its 4 and 1/2
and the second is 3
Lola and her school had a fun run, she donated 300 dollars, and the rest of her classmates donated 230 dollars. How much would they earn altogether? (She has 17 classmates)
Answers
If the classmates donate $230 each, then the answer would be:
( 230 × 17 ) + 300 = 4,210
If they donated 230 altogether, then the answer would be:
300 + 230 = 530
(NEED EVIDENCE, NOT ONLY ANSWER)
Lily has a rectangular shaped shawl that is 75 inches wide and 18 inches long. What is the area of the shawl in square feet?
Answers
So,
A = 75 * 18
A= 1350 inch^2
Convert inches to feet
1350 * 0.0833 = 112.5 ft^2
help solve for number 5 please
:)
Answers
(x+2)/3 = (3x-2)/6
6(x+2) = 3(3x-2)
6x+12 = 9x-6
12+6 = 9x-6x
18 = 3x
x = 6
please help i need help
Answers
Answer:
[tex]\mathrm{Slope = \dfrac{1}{2}}[/tex]
Step-by-step explanation:
To find the slope of a graph, we use the formula below:
[tex]\mathrm{m =\dfrac{y\x_{2}-y\x_{1}}{x\y_{2}-x\y_{1}}}[/tex]
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
Step 1: Find any two points on the line
Lets choose: (0, 3) and (2, 4)
Step 2: Put these points into the slope formula
[tex]\mathrm{m =\dfrac{y\x_{2}-y\x_{1}}{x\y_{2}-x\y_{1}}}[/tex]
Step 3: Substitute points into formula
[tex]\mathrm{m =\dfrac{4-3}{2-0}}[/tex]
Step 4: Subtract 3 from 4 and 0 from 2
[tex]\mathrm{m =\dfrac{1}{2}}[/tex]
----------------------------------------------------------------------------------------------------------
Another way you could easily do this is:
Step 1: Find two ponts on the line
For this problem, let's use (0, 3) and (2, 4)
Step 2: Then from the first point, how much do you need to go up and to the left or right to get to the second point
For this problem, we start on the on the point (0, 4) and go up by 1 and then to the right by 2
Step 3: Then you do rise over run to get the slope
The slope is rise over run:
Rise = 1
Run = 2
So, the slope is 1/2
________________________________________________________[tex]\mathrm{Answer:\dfrac{1}{2}}[/tex] ----------------------------------------------------------------------------------------------------------
Find the equation of the line shown
Answers
Explanation: The equation for any straight line graph is y=mx+c where m is the gradient and c is the y-intercept. To find the gradient you have to do the change in y divided by the change in x. So it’s 1. The y-intercept is where the line crosses the y axis so in this graph it’s 1.
A restaurant used 231 eggs last week. Of these, 46 were brown. The remaining eggs were white. Which equation can be used to solve for w, the number of white eggs used last week?
Answers
w = 231 - 46
hope it helps...!!
Answer:
185
Step-by-step explanation:
[tex]x + 46 = 231 \\ x = 231 - 46 \\ x = 185[/tex]
if Tanya 's class starts at 11:50 but she gets off work at 12:10 how many minutes does Tanya miss of class?
Answers
Answer:
20 minutes
Step-by-step explanation:
Answer:
Tanya misses the class for 20 minutes
Step-by-step explanation:
11:50 to 12: 00 ⇒ 10 minutes
12:00 to 12: 10 ⇒ 10 minutes
20 minutes
A triangle has one side that measures 9 units, another side that measures x, and a third side that measures 2 units more than x. The perimeter is 29 units.
Which equation would we use to find the value of x?
Answers
Answer:
9+x+(x+2)=29
Step-by-step explanation:
9+x+(x+2)=29
When the research hypothesis predicts the direction of a relationship, the test is ______. a. direct b. two-tailed c. one-tailed d. positive
Answers
Answer:
c. one-tailed
Step-by-step explanation:
i think its this because i say so now trust :)
I WILL GIVE BRAINLEIST!!!
Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.
200-meter sprint: mean absolute deviation of 2.05
400-meter hurdles: mean absolute deviation of 2.82
800-meter run: mean absolute deviation of 1.9
In which event were her times the most spread out?
A. 200 meter sprint
B. 800 meter run
C. 400 meter hurdles
Answers
Answer:
ill say C too
Step-by-step explanation:
Answer:The answer is 400
I hope this helps have a great day!
Step-by-step explanation:
What is the domain of the function h(x) = 4 log2 (x - 6) +1?
Answers
The domain of the function h(x) = 4·㏒₂(x - 6) + 1, using interval notation is (6, ∞)
What is the domain of a function?The domain of a function is the set of the possible input values of the function, which is denoted as dom(f).
The domain of the function f: X → Y, is defined as the values of X
The given function is; h(x) = 4·㏒₂(x - 6) + 1
The domain of a function is the set of the possible input (x-values) of the function.
The values which the function ㏒₂(x - 6) can have as input, which is the domain of the function, ㏒₂(x - 6) is; 0 < x - 6 < ∞
Which gives: 6 < x < ∞
The domain of the function, h(x) = 4·㏒₂(x - 6) + 1 is 6 < x < ∞, which using interval notation is (6, ∞)
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PLEASE HELP this is a missing assignment i will mark brainliest
Answers
The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division
The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
How to divide the polynomial?The polynomial functions are given as:
a(x) = -18x² - 6x + 12
b(x) = 3x³ + 9x - 1
The quotient equation is given as:
a(x)/b(x) = q(x) + r(x)/b(x)
Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:
q(x) = 0
And the remainder r(x) is:
r(x) = a(x)
Substitute known values
r(x) = -18x² - 6x + 12
Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
Read more about polynomial division at:
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which is a proportional relationship
Answers
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent.
So if one of your answers have equivalent ratios, that is your answer
Simplify this as much as you can
Answers
Answer:
-276^10 c + 156^6 c ^6 - 21b^4 c ^6
Step-by-step explanation:
When Lisa first planted the cherry tree in her yard, it was 30 feet tall. Now it is 80% taller.
How tall is the tree now?
Answers
As a wife, Mrs. Mallard was not free. That's why, when she heard her husband had died, she was not sad. She thought of all the hours that would now be hers alone. She no longer had to obey anyone -- she was finally free.
X-
On a piece of paper, graph y+4<3x – 1/2x - 2. Then determine which answer
choice matches the graph you drew.
A
B
C
D
6
-10
5
(4.-4)
(4.-4)
(4.-4)
(4.-4)
(0.-6)
(0.-6)
6.
(
0-6)
0.-6)
O A. Graph A
B. Graph B
C. Graph
D. Graph D
Answers
Answer:
c
[tex]6.46 \geqslant \frac{ { {x \sqrt[ |)x \frac{ {?}^{?} }{?} | ]{?} }^{?} }^{2} }{?} [/tex]
d
The graph of the inequality is attached to the solution.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given is an inequality, y+4 < 3x - 1/2x - 2, we need to graph it,
This graph represents inequality y+4 < 3x - 1/2x - 2,
Learn more about graph,
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−2x+3y=0
2x+2y=20
answer options
no solution
infinitely many soultions
(6,-4)
(6,4)
Answers
You add both equations since -2x and 2x will cancel.
Becomes
5y=20
Y=4
Plug in y into equation
2x+2(4)=20
X=6
Answer:
(6,4)
Step-by-step explanation:
First we must cross out the -2x and 2x since they're both opposites of each other and thus they cancel each other out.
Now we have:
3y = 0
2y = 20
So next we add the 3 and 2 to get 5y, and then we add 20 and 0 to get 20.
So now we have:
5y = 20
And so we'll simply divide by 5 on both sides, and the answer is y = 4.
Now normally we would plug 4 back in to one of the equations to solve for x, but since only one of the answer choices has 4 in the y position, we can already tell that (6,4) is the answer.
Hope this helps you. Sorry if it doesn't though.
nina ran 6 miles in 49.2 minutes. if she keeps the same pace, how long will it take her to run 13 miles?
Answers
Answer:
106.6 minutes
Step-by-step explanation:
49.2/6 = 8.2
8.2x13 = 106.6
big pts. no links pls help with explanation
AND BRAINLEST
James opens 2 different savings accounts and deposits $12,000 into each one.
Account I earns 2.2% interest compounded annually.
Account II earns 2.2% annual simple interest.
There are no additional deposits or withdrawals.
What is the sum of the total balances of these accounts at the end of 7 years?
Question 7 options:
$27,168.00
$27,696.00
$27,949.08
$27,822.53
Answers
Answer:
The answer to this is D $27,822.53
Step-by-step explanation:
Answer:
27,822.53
Step-by-step explanation:
If 1 - cosA= 1/2 show that tan²A + 4sin²A = 6
Answers
[tex]\text{Given that,}\\\\1-\cos A = \dfrac 12\implies \cos A = 1-\dfrac 12 = \dfrac 12\\\\\text{L.H.S}\\\\=\tan^2 A + 4 \sin^2 A\\\\=\dfrac{\sin^2 A}{\cos^2 A}+4(1-\cos^2 A)\\\\\\=\dfrac{1-\cos^2 A}{\cos^2 A} +4-4\cos^2 A\\\\\\=\dfrac{1-\left( \dfrac 12 \right)^2 }{\left(\dfrac 12 \right)^2 } +4 -4 \left( \dfrac 12 \right)^2\\\\\\=\dfrac{1- \dfrac 14}{\dfrac 14}+4-4\cdot \dfrac 14\\\\\\=\dfrac{\tfrac 34}{\tfrac 14}+4-1\\\\\\=\dfrac 34 \cdot 4 +3\\\\=3+3\\\\=6\\\\=\text{R.H.S}[/tex]