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
which exponential expression is equivalent to
Answer:
B
Step-by-step explanation:
(y^(4))^(1/5)=y^(4/5)
A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?
I need help to find n =
Answer:
n = √108
Step-by-step explanation:
Use similar triangles or the right triangle altitude theorem.
18/n = n/6
n^2 = 18 * 6
n^2 = 108
n = √108
help me out .... I will mark u as brilliant students
oe which question are you figure it out
Annabeth has $29.00 to spend at the sporting goods store.
She buys a T-shirt that costs $15.32. She spends all of her
money. She also wants to buy a soccer ball for $13.68, a
baseball cap for $8.39, a set of shin guards for $14.98, or a
water bottle for $5.93.
*Need asap* (might give brainiest if I can)
Hi there!
»»————- ★ ————-««
I believe your answer is:
The soccer ball.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]
⸻⸻⸻⸻
She would have $13.68 dollars left. Her second item should be the soccer ball.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
prove it if you know
(please no spam answers)
Answer:
....ans
hope it helps you
hope this help you
have a great day
Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.
Phase shift and period change
Rewriting the equation:
y = cos ( 2 ( x - 2 ) )
Phase shift 2 units to the right
Period changed to 2pi/2 = pi
Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}
Answer:
Following are the calculated points to the given question:
Step-by-step explanation:
[tex]When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\[/tex]
so,
[tex]Point \ A(-8,-3)[/tex]
[tex]When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\[/tex]
so,
[tex]Point \ B(-4,-1)[/tex]
[tex]When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\[/tex]
so,
[tex]Point \ C(0,1)[/tex]
[tex]When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\[/tex]
so,
[tex]Point \ D(2,2)[/tex]
[tex]When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\[/tex]
so,
[tex]Point \ E(6,4)[/tex]
Roberto watched 5 more hours of tv than Jamie last week. Together, they watched a total of 23 hours of tv last week. How many hours did Roberto watch
Answer: 14 hours
Step-by-step explanation:
Let the number of hours of TV that Jamie watched be represented by x.
Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5
Together, they watched a total of 23 hours of tv last week. Therefore,
x + (x + 5) = 23
2x + 5 = 23
2x = 23 - 5
2x = 18
x = 18/2
x = 9
Jamie watched 9 hours of TV
Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours
Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.
Answer:
r = 13.33
Step-by-step explanation:
d = k*r*t
Where,
k = constant of proportionality
d = 110 when r = 55 and t = 2
d = k*r*t
110 = k * 55 * 2
110 = 110k
k = 110/110
k = 1
Find r when d = 40 and t = 3
d = k*r*t
40 = 1 * r * 3
40 = 3r
r = 40/3
= 13.333333333333
Approximately,
r = 13.33
How much is 3a²-5ab+7b²+3 greater than 2a²+2ab+5?
Answer:
a²-7ab+7b²-2
Step-by-step explanation:
3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2
Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.
Which best describes Deandra’s rate for completing her homework?
Deandra completed the first 6 problems at a rate of 6 problems per hour and the last 12 at a rate of 2 problems per hour.
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Deandra completed the first 6 problems at a rate of 2 problems per hour and the last 12 at a rate of 6 problems per hour.
Deandra completed the first 6 problems at a rate of 4 problems per hour and the last 12 at a rate of 3 problems per hour.
Answer:
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Step-by-step explanation:
6 problems ÷ 2 hours = 3 problems per hour
12 problems ÷ 3 hours = 4 problems per hour
Answer B is the answer
Cual es la raiz cudrada de 2
Answer:
1.4142135
Step-by-step explanation:
Which is the equation of the line with y-intercept -2 and slope 6.
Answer:
The equation would be y=m-2+6
Step-by-step explanation:
Have a great day :)
BRAINIST FOR CORRECT AWNSER
What is the area of the figure below?
12.5 sq. units
7.5 sq. units
25 sq. units
15 sq. units
Answer:
7.5 square units
Step-by-step explanation:
3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.
Answer:
7.5 sq units
Step-by-step explanation:
Let's list out all the points in the triangle.
(0,4) (4,1) and (5,4)
Find the distance b/w each side
distance b/w (0,4) and (4,1) is
[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]
distance b/w (4,1) and (5,4) is
[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]
distance b/w (5,4) and (0,4) is
[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]
So the given triangle is an isoscles triangle meaning 2 sides are equal.
So we can use the formula 1/2*base*height=
1/2*[tex]\sqrt{10}[/tex]*5
=0.5*3.16*5=7.905
So the approximate answer would be 7.5 sq units
Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?
HELP PLEASE <3
Answer:
14, 21
Step-by-step explanation:
LCM : least common multiplier.
x + y = 35
LCM = 42
means that there is a combination of 2 of the following divisors of 42 :
2, 3, 6, 7, 14, 21
so, which two of these numbers can create the sum of 35 ?
only 14 and 21
Can someone explain this / answer, Its a picture
Answer:
option c is the correct answer (l=1 cm and w=42cm)
Step-by-step explanation:
length(l) = 1.00cm
width(w)= 42.00 cm
ACCORDING TO FORMULA
Area of rectangle = l×w
=1 cm × 42 cm
= 42cm^2
3. What is the solution to the equation x3 = = 216
A. 72
B. 27
C. 8
D.6
Answer:
I assume that the question is [tex]x^{3} = 216[/tex]
6 * 6 = 36 35*6 = 216
in other words 6*6*6 = 216
Step-by-step explanation:
What is the length of line segment SA
Answer:
slalalallalalalalalalalalallapapapqpqpq
9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5
Answer:
[tex]f(x) = 3x - 5[/tex]
For a zero, f(x) = 0:
[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]
BRAINLEST ID CORRECT!!!!!!
Answer:
x=11
Step-by-step explanation:
The two angles add to a right angle which is 90 degrees
35+5x = 90
Subtract 35 from each side
35+5x-35 = 90-35
5x= 55
Divide by 5
5x/5 = 55/5
x = 11
I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!
square root of 800 to the nearest thousandth
Answer:
28.284
Step-by-step explanation:
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decimal place.) Enter only the number without $ sign.
Answer:
8%
Step-by-step explanation:
APR means annual percentage rate.
To convert the daily rate to an APR, multiply the daily rate by the number of days in a year
365 days = 1 year
0.02192% x 365 = 8.0008%
To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is 0, so the number would be rounded off to 8%
Given that
∠4
∠
4
has a measurement of 103°, what is the measurement of
∠2
Answer:
103 = <2
Step-by-step explanation:
Angle 4 and angle 2 are vertical angles and vertical angles are equal
<4 = <2
103 = <2
Answer:
103
Step-by-step explanation:
Angle 4 and Angle 2 are congruent so they have the same value.
find the missing length indicated
Answer:
108Step-by-step explanation:
Use the ratio of corresponding sides of similar triangles:
81 / x = x / 144x² = 81*144x = [tex]\sqrt{81*144}[/tex]x = 9*12x = 108Answer:
x = 108
Step-by-step explanation:
x is the height
from the Euclidian theorem we know that :
x^2 = 81*144
x^2 = 11664 find the root for both
x = 108
Given the preimage and image, find the dilation scale factor
Answer:
1/2
Step-by-step explanation:
the dilation factor should be 1/2
if u count the dots on the sides of the preimage there are 2 dots that's the length if u count the dots on the real image it's 4therefore 2/4 to it's lowest term is 1/2 so 1/2 is the scale factorAnswer:
should be 1/2 as your answer
CAN SOMEBODY HELP ME PLS GIVE THE CORRECT ANSWER IM FAILING BUT ITs PYTHAGOREAN THEOREM
Answer:
c=65
Step-by-step explanation:
Answer:
c=65
Step-by-step explanation:
c=a2+b2=63
632+162=65
Find the measure of
Answer:
<L is 90°
Step-by-step explanation:
all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180
I hope this helps
Sheldon is baking 2-inch cookies. He has 3 trays that are the same size. On one tray, he makes 5 rows with 4 cookies in each row. He cannot fit any more cookies on the tray. He fills the second tray completely and only part of the third tray. How many cookies could Sheldon have made?
Answer: Sheldon has made 50 cookies
Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50
The number of cookies made by Sheldon will be equal to 50.
What is an arithmetic operation?
The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.
Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.
Twenty divided by two equals 10 because the third one is only half full.
There are ten cookies on the third tray.
The total is,
20+20+10 = 50.
To know more about arithmetic operations:
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