Answers
Answer:
r = [tex]\sqrt{\frac{a}{3}}[/tex]
Step-by-step explanation:
1. A = 3r²
(Divide 3 by both sides)
2. A/3 = r²
(Square root both sides)
√A/3 = r
On solving for 'r' we get - r = [tex]\sqrt{\frac{A}{3} }[/tex].
We have the following expression -
[tex]$A=3r^{2}[/tex]
We have to solve for r.
Solve for x : [tex]$x^{2} = 9[/tex]On solving, we get -
x = [tex]$\pm\sqrt{9}[/tex]
x = [tex]$\pm3[/tex]
According to the question, we have -
[tex]$A=3r^{2}[/tex]
[tex]$r^{2} = \frac{A}{3}[/tex]
r = [tex]\pm\sqrt{\frac{A}{3} }[/tex]
Since, the area cannot be negative, therefore -
r = [tex]\sqrt{\frac{A}{3} }[/tex]
Hence, on solving for 'r' we get - r = [tex]\sqrt{\frac{A}{3} }[/tex].
To solve more questions on Rearranging expressions, visit the link below -
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Related Questions
Solve for x: x – 23 = 2
Answers
Answer:
X=25
Step-by-step explanation:
This is because X has to be greater than 23. Because you are taking away 35 and the answer is 2, you have to add 23 and 2, and that gives you 25!
The total cost of a desk and a stool is $86.50.
The stool costs $25.50 less than the desk.
How much does the stool cost?
Answers
Answer:
$30
Step-by-step explanation:
d + s= 86.50----------1
d - 25.50 = s
d - s=25.50------------2
1 - 2
(d-d) +(s-(-s))=86.50-25.50
2s=60
s=60/2=$30
The cost of a stool is $30.5 if the total cost of a desk and a stool is $86.50 and the stool costs $25.50 less than the desk.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of a desk and a stool is $86.50.
The stool costs $25.50 less than the desk.
Let the cost of the desk is $d
Let the cost of the stool is $s
d + s = 86.50
s = d - 25.50
The above two equations represent two linear equations in two variables.
By solving by substitution method:
Plug s = d - 25.50 in the first equation
d + d - 25.50 = 86.50
2d = 86.50 + 25.50
2d = 112
d = 112/2
d = $56
s = 86.50 - 56
s = $30.5
Thus, the cost of a stool is $30.5 if the total cost of a desk and a stool is $86.50 and the stool costs $25.50 less than the desk.
Learn more about the linear equation here:
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Simplify
12 - 6(2x + 7)
Answers
Answer:
-12x - 30
Step-by-step explanation:
12 - 6(2x + 7)
=> 12 - 12x - 42
=> -12x - 30
Answer:
6 (-5-2x)
Step-by-step explanation:
12-6(2x+7)
6(2-(2x+7)) factor the expression
6(2-2x-7) remove parentheses
6(5-2x) answer!
Mary had $305 in her bank account. She deposited $250.25 more and then withdrew $317.50
from her account. What is the balance now in her account?
Answers
Answer:
$237.75
Step-by-step explanation:
you add $305 & $250.25 together which is equal = $555.25,then subtract $317.50 from it = $237.75
Please help me on this homework assignment, 20 points to whoever can help me and give me a good answer. it is asking for the height and the bottom number under the 90 degree angle is 6.
Answers
Answer:
h = 3 sqrt(21)
or
h = 13.75
Step-by-step explanation:
The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.
FK = 60/4 = 15 feet.
Now you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = height or = h
c = 15
6^2 + b^2 = 15^2
36 + b^2 = 225
b^2 = 225 - 36
b^2 = 189
sqrt(b^2)= sqrt(189)
b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.
b = 3 * sqrt(3*7)
b = 3 * sqrt(21)
what is the quotient of 81.5 ÷ 1.25?
Answers
Answer:
The answer is 65.2 because you divide 81.5 by 1.25
Which of the following functions is even?
Answers
[tex]f(x) = -3x^2 + 4[/tex]
================================================
Explanation:
If all the exponents are even, then the polynomial function is even.
Choice A has a mix of even and odd exponents here, so choice A is neither even nor odd. We can rule this out.Choice B is the same story as choice A. So we can rule that out as well.Choice C has all of its exponents even. Therefore function C is an even function, and it's the final answer.Choice D is the same story as choice A. The only difference is the leading coefficient is positive.is statistics mathematics or science? defend your answer.
Answers
Answer:
There are few kind of statistics: first of all - Mathematiсal statistics. This is quite a mathematical science.
Its applications widely used in many branches of science. First of all (for me) in measurement theory. When used correctly, there is no objection to this science and its methods.
The use in the so-called "social sciences", primarily in sociology, raises many questions: first and foremost - how representative is the "sample"? To what extent does the question asked by the respondent dictate the “correct” (expected) answer? And so on. Of course, this is not a statistic, but mostly a science-like hype, covering up the absence of objective methods.
Hope this helps <3
Round 123,949 to the underlined point. 4 is highlighted
Answers
[tex]\\ \sf\longmapsto 123,949[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 123,95[/tex]
5=5[tex]\\ \sf\longmapsto 123,9[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 124[/tex]
4 is less than 5[tex]\\ \sf\longmapsto 12[/tex]
2 is less than 5[tex]\\ \sf\longmapsto 1[/tex]
Note
Write the number until underlined point.I did it till end
Answer:
The number is 123949 (or 123.949 in case comma stands for decimal)
According the rounding rule
if the number to the right is ≥ 5, round up the number to the left, otherwise leave as is, if decimal the number to the right drops, if whole number it is replaced with zeroRound to the number 4, the second number from the right:
123950or
123.95A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70
Answers
Answer:
B: $0.60
Step-by-step explanation:
4x+6=8.40
4x=2.40
2.40 / 4 = .6
.6 = 0.60 or 60 cents
Answer:$0.60
Step-by-step explanation:
A bag a kibble is 6$
Subtract the cost for the kibble to the cost of all products.
$8.40
- $6.00
$2.40... is the cost for all 4 cans of cat food.
Then divide $2.40 by 4... That will be B) $0.60
Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them
Answers
Answer:
take a light bulb and a potato and some wires connect together will give light
Answer:
i have attached a pic of an idea that might help you
:)
Let ABC be an isosceles triangle at A. Take point D on side AC, point E on side AB such that AD = AE a) Compare the angles ABD and ACE b) Let I be the intersection of BD and CE. What kind of triangle is ΔIBC? Why ?
Answers
9514 1404 393
Answer:
a) they are congruent
b) isosceles; ∠IBC≅∠ICB
Step-by-step explanation:
a) We are given that ΔABC is isosceles, such that AB≅AC. Points D and E are located so that AD≅AE. Of course, ∠A≅∠A, so ΔACE ≅ ΔABD by SAS. Then angles ABD and ACE are congruent by CPCTC.
__
b) Angle IBC is the difference between angle ABC and angle ABD. Angle ICB is the difference between angle ACB and angle ACE. These differences are between values that are the same, so the differences are the same. That means ∠IBC≅∠ICB, and ΔIBC is isosceles.
A 90% confidence interval for a proportion is found to be (0.52, 0.58) . What is the sample proportion?
Answers
Explanation:
For the confidence interval (a,b), the midpoint is c = (a+b)/2
This midpoint is the sample proportion. This is because the confidence interval is built around this center point.
The midpoint of the interval (0.52, 0.58) is (0.52+0.58)/2 = 0.55
that's the question ??
Answers
Step-by-step explanation:
Before we answer, the area of a Circle given it radius is
[tex]a = \pi r {}^{2} [/tex]
The area of a circle given it diameter is
[tex]a = \pi( \frac{d}{2} ) {}^{2} [/tex]
So let answers question 1-4.
1. The area is
[tex]1024\pi[/tex]
2. The area is
[tex]576\pi[/tex]
3.
[tex]1.225\pi[/tex]
4.
[tex]309.76\pi[/tex]
For the 5th problem, circumference is
[tex]\pi \times d[/tex]
where d is the diameter and
[tex]2\pi r[/tex]
where r is the radius.
A circumference of 100 m means the radius is 50 because
[tex]2\pi \times r = 100\pi[/tex]
[tex]r = 50[/tex]
So this means the area is
[tex]2500 {\pi}[/tex]
Write the decimal as a fraction .014
Answers
Answer:
14/100
Step-by-step explanation:
Hopefully this helps you
pls mark brainlest
hope this helps !
Replace the asterisks in the number 72*3* so that the obtained numbers will be divisible by 45.
Answers
Answer:
72135
Step-by-step explanation:
72135 divided by 45 equals 1603 so it is divisible by 45.
11. There are 600 students in a school. If 20% students are girls, find the number of girls.
Answers
Answer:
120
Step-by-step explanation:
20% of 600
= 120 girls
Explanation
Total no. of students = 600%
20% of the total are girls
No. of girls = 20% of 600
20/100 × 600⅕ × 600 120No. of girls is 120
Choose the equation of the the ellipse shown in the graph.
Answers
Answer: A
Hello,
Step-by-step explanation:
center =(-3,1)
a=2
b=7
[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]
Your Gps shows that your friends house is 10.0 km away, as shown in the image below. but there is a big hill between your house and you dont want to bike the directly. You know your friends street is 6.0km north of your street. How far do you have to ride before turning north to get to your friends house?
Answers
Answer:
2.0km
Step-by-step explanation:
Arrange the decimal numbers from largest to smallest.
Answers
Answer:
0.845, 0.839, 0.748, 0.712, 0.643
Answer:
0.845, 0.839,0.748,0.712,0.643
Please help. I don’t understand these
Answers
Answer:
A.7x
B.8x -1
C.6x+12
D 4+3x
E.13x-7
4. A sequence is represented below.
{3, 4.5, 6.75, 10.125, 15.1875, ...}
Which representation is a formula for the nth term of the sequence?
Answers
Answer:
Step-by-step explanation:
If you have choices please give then. I'm guessing at what the answer might be.
an = a_n-1 + 1/2 a_n-1
an = 3/2 a_n-1
Let's try it out.
take 3/2 of 6.75 Multiply by 3 first
(3 * 6.75 ) / 2
20.25 / 2
10.125 which is what happens.
which expression is equal to 72 +63 ?
a. 9(8+7)
b. 8(9+7
c. 7 (10+9)
d. 6 (12+10)
Answers
Answer:
Your answer is option a.
Answer:
a. 9(8+7)
Step-by-step explanation:
If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:
(9*8) + (9*7)
Which leaves you with:
72 + 63
Which explanation uses the number line to show 5 + (-5) =0
Answers
Answer:
+5 is right and - 5 is left
Step-by-step explanation:
I. If 5 + (-5) = 0
then 5 - 5 = 0
If 5 is on the right side
then -5 is on the left side
Solve the given equation, enter your answer as "x= " and then your answer.
Example: x = 5
6=210
Answers
Answer:
×=204
Step-by-step explanation:
6=210
210-6
x=204
Determine the largest positive integer N such that 1005! is divisible by 10N.
Answers
9514 1404 393
Answer:
N = 250
Step-by-step explanation:
The way your question is written, the answer is a number of 2582 digits, much too large to show here. We assume you actually want N such that 10^N is the largest power of 10 that will divide 1005!.
__
That factor is limited by the number of factors of 2 and 5 in 1005!. Of those, there are far more factors of 2, so the actual limit is the number of factors of 5 in 1005!.
Every 5th number is divisible by 5, so there are 1005/5 = 201 numbers divisible by 5 in 1005!.
Every 5th one of those is divisible by another factor of 5, so an additional 201/5 ≈ 40.
Every 5th one of those is divisible by another factor of 5, so an additional 40/5 = 8.
Finally, every 5th one of those has yet another factor of 5, so an additional 8/5 ≈ 1.
Then the total number of factors of 5 in 1005! is 201 +40 +8 + 1 = 250.
That is, the number 1005! will end in 250 zeros. It will be divisible by 10^250.
N = 250
!Can SOME1 Help! Help FAST
A gym membership has an enrollment fee of $25 and costs $33 each month. Which expression represents the cost of the gym membership for m months?
A. 25+33m=c
B. 25+33m
C. 33+25m=c
D. 33+25m
Answers
Answer:
A. 25+33m=c
Step-by-step explanation:
Because gym membership for m month will cost the enrollment fee along with the monthly fee multiplied by the number of months (m).
So, the expression will be:
25 + 33m = c
which situation results in -6 as a final value
Answers
Answer:
Example:
0 - 6 = -6
4 - 10 = -6
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
Answers
Please help me please hurry
Answers
Answer:
A = $10.50
B = $17.50
C = $24.50
Step-by-step explanation: