Making r the subject of formula, we have; [tex]r = \frac{V}{\pi h^{2} } \; + \;\frac{h}{3}[/tex]
In Mathematics, making a variable the subject of formula simply means making the particular variable to be equal to all the other variable contained in an algebraic expression or mathematical equation. Thus, the subject of a formula is typically on the left-hand side of a mathematical equation while the other variables on the right-side.
Given the mathematical expression;
[tex]V = \pi h^{2}(r \; - \;\frac{h}{3} )[/tex]
To make "r" subject of formula;
First of all, we would divide both sides by [tex]\pi h^{2}[/tex]
[tex]\frac{V}{\pi h^{2} } = r \; - \;\frac{h}{3}[/tex]
Next, we would rearrange the equation;
[tex]r = \frac{V}{\pi h^{2} } \; + \;\frac{h}{3}[/tex]
For more on subject of formula visit: https://brainly.com/question/17148850
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41. If two fair coins are tossed what is the probability of getting at least one head? _____________
Answer:
3/4
Step-by-step explanation:
The possible outcomes when tossing two coins are
HH HT TH TT where H is heads and T is tails
There are 3 outcomes where we get at least one head
Positive outcomes over total outcomes
3/4
-8z^{-2} Write the expression using only positive exponents. Assume no denominator equals zero.
Answer:
Step-by-step explanation:
-8z⁻² = -8/z²
What should be added to twice the rational number
-1/3 to get 4/5
Answer:
[tex]1 \frac{7}{15} [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} \times 2 + x = \frac{4}{5} \\ - \frac{2}{3} + x = \frac{4}{5} \\ x = \frac{4}{5} + \frac{2}{3} \\ x = \frac{12 + 10}{15} \\ x = \frac{22}{15} \\ x = 1 \frac{7}{15} [/tex]
is kanye going to drop donda on august 6th?
Answer:
off topic
Step-by-step explanation:
Which ordered pair can be plotted together with these four points, so the resulting graph still represents a function?
•(2, -1)
•(2, -2)
•(-2, 2)
•(-1, 2)
Answer:
-1,2 can be plotted together with these four points ...
Which is the initial value that shrinks an exponential growth function by 50%? One-fifth One-fourth One-third One-half
Answer:
One-half
Step-by-step explanation:
Given
Exponential function
Required
The initial value that shrinks the function by [tex]50\%[/tex]
An exponential function is represented as:
[tex]y = ab^x[/tex]
Where the growth function is:
[tex]r = b^x[/tex]
[tex]a \to[/tex] initial value
For the growth function to shrink by x%, then:
[tex]a =1 - x\%[/tex]
In this case; x = 50. So, we have:
[tex]a =1 - 50\%[/tex]
Express as fraction
[tex]a =1 - \frac{50}{100}[/tex]
Take LCM
[tex]a =\frac{100 -50}{100}[/tex]
[tex]a =\frac{50}{100}[/tex]
Reduce fraction
[tex]a =\frac{1}{2}[/tex]
Answer:
It's D on edge :D
Step-by-step explanation:
There are 7 blue counters, 3 green counters and 1 red counter in a bag.
There are no other counters in the bag.
Hubert takes at random 2 counters from the bag.
Work out the probability that both counters are blue.
Answer:
21/55
Step-by-step explanation:
7 blue counters, 3 green counters and 1 red counter = 11 counters
1st counter
P(blue)= blue / total = 7/11
Now there are only 10 counters
6 blue counters, 3 green counters and 1 red counter = 10 counters
2nd counter
P(blue)= blue / total = 6/10 = 3/5
P(blue blue) = 7/11 * 3/5 = 21/55
Plz help plz plzplz plz help
Answer:
the answer is C.7.2. good luck
Answer:
7.3
Step-by-step explanation:
help me please it easy.
Answer: there is no picture attached or equation? what's the question?
Step-by-step explanation:
ok, what do you need help with?
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
Answer:
firstly find the gradient given by the equation
m=y2-y1/x2-x1
in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16
m=-16+8/-17+12
=-8/-5 or1.6
then use the equation
y-y1=m(x-x1)
y+8=1.6(x+12)
y+8=1.6x+19.2
y=1.6x+11.2
I hope this helps and sorry if it's wrong
Help please............./..
Answer:
D
Step-by-step explanation:
...what are consecutive multiples
Answer:
H
Step-by-step explanation:
Let represent A and B
A and B is the sum of the first 50 consecutive multiples of 3 and 6, this is the same as a arithmetic sequence because arithmetic sequences have a common sum.
We can represent this as
[tex]a _{n} = a {}^{1} + d(n - 1)[/tex]
where a^1 is the first term, d is the common sum, n is the number of multiples we adding.
The first term for both A and B respectively is 3 and 6.
Multiples implies that the Difference between A and B are 3 and 6 respectively. There are 50 consecutively. multiples.
Plug in the known parts for both.
[tex]3 + 3(49) = 150[/tex]
[tex]6 + 6(49) = 300[/tex]
We need to what percent of find 150% of 300.
B is twice as A, so this means that we need to multiply 2 by it original or 100% of it self.
[tex]2 \times 100 = 200[/tex]
So 200% is the answer.
Square inscribed in a circle with radius 16.
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Answer:
if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)
Find the value of 65°11' - 58°32'
Answer:
dddddd=666=7777
Step-by-step explanation:
SEE QUESTION IN IMAGE
Answer:
(b)
Total frequencies:
25 - 4 = 21Multiples of 3 or 5:
6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10Required probability:
P(3x or 5x) = 10/21(c)
Limes = 10 + 6 = 16Apples = 8 + 6 = 14Total = 16 + 14 = 30(i) Good limes = GL = 10
P(GL, GL) = 10/30*9/29 = 3/29(ii) Good fruits = GF = 10 + 8 = 18
P(GF, GF) = 18/30*17/29 = 51/145(iii) Good apple = GA = 8, Bad lime = BL = 6
P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145
Phythagorean theorem help plsss
Answer:
95cm
Step-by-step explanation:
c²=76²+57²
c²=5776+3249
√c²=√9025
c=95
I hope this helps
Find what percent of the total number of calories comes from fat calories. Round to the nearest tenth of a percent if necessary.
___% of the calories are fat calories.
Answer:
5 percent ...................
find the measure of the indicated angle to the nearest degree
Answer:
[tex]20^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
Let the angle we want to find be [tex]\theta[/tex]. [tex]\theta[/tex]'s adjacent side is 49 and the hypotenuse of the triangle is 52.
Therefore, we have the equation:
[tex]\cos \theta=\frac{49}{52}[/tex]
Take the inverse cosine of both sides:
[tex]\arccos (\cos \theta)=\arccos(\frac{49}{52})[/tex]
Simplify using [tex]\arccos (\cos \theta)=\theta \text{ for }\theta \in (0, 180^{\circ})[/tex]:
[tex]\theta=\arccos(\frac{49}{52}),\\\theta=19.557214,\\\theta\approx \boxed{20^{\circ}}[/tex]
I need help plz thx
Answer:
Perimeter = 36 units
Step-by-step explanation:
The figure given has been labelled with letters for easy reference.
Recall: when two tangents segments meet at a point outside the circle, the two segments that are tangent to the circle are congruent to each.
Perimeter = a + b + c + d + e + f
e = 4 (given)
e = f = 4 (tangents drawn from an external point)
b = 10 - f
Substitute
b = 10 - 4
b = 6
b = a = 6 (tangents drawn from an external point)
c = 8 (given)
c = d = 8 (tangents drawn from an external point)
Perimeter = 6 + 6 + 8 + 8 + 4 + 4
Perimeter = 36 units
subtract these polynomials
Answer:
option (D) is the answer
Answer:
[tex]-4x^{2} + 6x + 4[/tex]
Answer choice D
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree
Answer:
19 degrees
Explanation:
The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).
need help with this!!!
Answer:
It's D I sure about it correspond means identical... The matching number
2. Apply the laws of indices and simplify. h)
[tex]3 \sqrt{x {?}^{2} {y}^{2} } [/tex]
Answer:
sub to the students notice the best of luck in life is good and u don't know what to do
What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic
Answer:
Option: CStep-by-step explanation:
As marked,
In triangle WKQ. In triangle MQK
WK. = MQ. (Given)
WQ. = MK. (Given)
KQ. = KQ. (Common side)
Hence,
As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.
Find the missing segment in the image below
Answer:
again it has a ratio
Step-by-step explanation:
follow this steps.
firstly look at the side and you got the ratio 24/16
secondly write 42/? and multiply by 24/16
the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28
Select the correct answer. If x- 12sqrt x +36 = 0 , what is the value of x?
Answer:
36
Step-by-step explanation:
Let a² = x
a²-12a+36=0
or, (a-6)²=0
or, a-6=0
or, a = 6
Now a² = x, so x = 6² = 36
Someone help me with this
Answer:
(6,-3) and 5
Step-by-step explanation:
Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5
q divided by 6 + p; use p = 10, and q = 12
Answer: =12
Step-by-step explanation:
12 divided by 6=2+10=12
q/6+p = 12/6+10 = 12/16 = 0.75
hope this helps!! plz mark brainliest.
FIND THE PERIMETER OF THIS FIGURE. USE 3.14 FOR PI. WRITE YOUR ANSWER AS A DECIMAL.
9514 1404 393
Answer:
38.27 feet
Step-by-step explanation:
The perimeter is the sum of the side lengths. The curved side is half the circumference of a circle with diameter 11 feet.
P = 5 + 11 + 5 + (1/2)π(11)
P = 21 + 5.5(3.14) = 38.27 . . . feet
__
The circumference of a circle is ...
C = πd . . . for diameter d
