Given problem;
A = 4 π R²
To solve for R, we have to make it the subject of the expression.
Since
A = 4 π R² , follow these steps to find R;
Multiply both sides by [tex]\frac{1}{4\pi }[/tex]
A x [tex]\frac{1}{4\pi }[/tex] = [tex]\frac{1}{4\pi }[/tex] x 4 π R²
[tex]\frac{A}{4\pi }[/tex] = R²
Then find the square root of both sides
√R² = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
R = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
The solution is [tex]\sqrt{\frac{A}{4\pi } }[/tex]
3.
8.2 m
? m
Area = 41 m2
Answer:
5 mStep-by-step explanation:
area = L x W
41 = L ( 8.2)
L = 41 / 8.2
L = 5 m
Determine if (2, 3) is a solution to the following equation
y = 5x - 1
Answer:
No, it is not
Step-by-step explanation:
You have to plug it in:
(x,y) = (2,3)
y=5x-1 is also 3=5(2)-1
3=10-1
3=9 is a false statement so it is not a solution.
y=x^2+9x+3 write graph form
is 2/3 divided by 5 is it grater than 1 less than 1 or equal to 1?
Answer:
it is less tha 1
Step-by-step explanation:
Answer:
Less than 1
Step-by-step explanation:
2/3 divided by 5 is 2/15 which is less than 1
I continusly did this question over and over & it kept saying I had got it wrong . Can somebody help ?
Answer:
8
Step-by-step explanation:
distance is never negative.
pls help with year 8 maths
Answer:
a) 1
b)11
c)4
d)1
I hope it helps you...
Answer:
see explanation
Step-by-step explanation:
Given a point (x, y ) then its distance from the origin is
d = [tex]\sqrt{x^2+y^2}[/tex]
(a) (2, 3 ) , then
d = [tex]\sqrt{2^2+3^2}[/tex]
= [tex]\sqrt{4 + 9}[/tex]
= [tex]\sqrt{13}[/tex] ≈ 3.6 units ( to 1 dec. place )
------------------------------------------------
(b) ( - 5, 7 ) , then
d = [tex]\sqrt{(-5)^2+7^2}[/tex]
= [tex]\sqrt{25+49}[/tex]
= [tex]\sqrt{74}[/tex] ≈ 8.6 units ( to 1 dec. place )
-------------------------------------------------
(c) (- 1, 4 )
d = [tex]\sqrt{(-1)^2+4^2}[/tex]
= [tex]\sqrt{1+16}[/tex]
= [tex]\sqrt{17}[/tex] ≈ 4.1 units ( to 1 dec. place )
------------------------------------------------------
(d) (- 4, - 5 ) , then
d = [tex]\sqrt{(-4)^2+(-5)^2}[/tex]
= [tex]\sqrt{16+25}[/tex]
= [tex]\sqrt{41}[/tex] ≈ 6.4 units ( to 1 dec. place )
How many times greater is the value of 0.02 than the value of 0.002
The value of 0.02 is 10 times greater than the value of 0.002.
What is meant by inequality?If two given numbers are not equal, we use inequality. It means that the first number is either greater than or less than the second number.
we have a value of 0.02 greater than the value of 0.002
[tex]\frac{2}{100} = \frac{2}{1000} \\[/tex]
[tex]\frac{2}{100} \times\frac{1}{10} = \frac{2}{1000} \\[/tex]
Therefore, The value of 0.02 is 10 times greater than the value of 0.002.
Learn more about inequality here:
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solve for a:5(a+2)-3(2a-5)=39
Point A ( 5, 3) is reflected across the x-axis what is the coordinate of the image.
Answer:
(5, -3)
Step-by-step explanation:
when you reflect across x axis the y changes symbols.
The Point A(5, 3) is reflected across the x-axis, then the coordinate of the image is (5, -3).
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
The point A(5, 3) is reflected across the x-axis.
The reflection across the x-axis:
The rule for a reflection over the x-axis is,
(x, y) → (x, −y).
So, the image point,
(5, 3) → (5, −3)
Therefore, the image point is (5, −3).
To learn more about the reflection;
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Can anybody help me solve these problems? My teacher had a answer key up for us to check our answers but I have no idea where to start.
Answer:
f = 59
g = 59
Step-by-step explanation:
f = 180 - 121
f = 59
g = 180 - 121
g = 59
it takes kirsten 2\3 hour to weed the garden how much of the garden will be weeded after 1\4 hour
Answer:
The answer is 3/8 Step-by-step explanation: apex
Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100
Given:
Two equations are
[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]
[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]
To find:
The reason for same solutions to the proportions.
Solution:
First equation is
[tex]\dfrac{50}{x}=\dfrac{10}{20}[/tex]
On cross multiplication, we get
[tex]50\times 20=10\times x[/tex]
[tex]1000=10x[/tex]
Divide both sides by 10.
[tex]\dfrac{1000}{10}=x[/tex]
[tex]100=x[/tex]
The second equation is
[tex]\dfrac{10}{50}=\dfrac{20}{x}[/tex]
On cross multiplication, we get
[tex]10\times x=50\times 20[/tex]
[tex]10x=1000[/tex]
Divide both sides by 10.
[tex]x=\dfrac{1000}{10}[/tex]
[tex]x=100[/tex]
Solutions to the proportions are same because both result in the equation 10 x = 1,000, which simplifies to x = 100.
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
Pls help
I will award brainlist thing
Pls answer all the questions
Answer:
7.) slope=-2/5 y-intercept= -2
8.) slope= -4/9 y-intercept=-3
9.) slope=1/5 y-intercept=5
10.)m= -3
11.)m= 2/5
12.)m=2.5
Step-by-step explanation:
your friend defines a right angle as an angle that is greater than an acute angle
Answer:
obtuse angle
Step-by-step explanation:
because it is 180 degrees.
Answer:
a right angle is an angle that is exactly 90*.
Step-by-step explanation:
acute angles are defined as anything less than or equal to 89* and the opposite for obtuse angles. A right angle is exactly 90*.
It cost $75 to rent a limo, plus $20 per hr. Write an equation to represent the total cost,c, of renting the limo for T hours.
We must create the equation from the information. Well, we know that there is a 75 dollar fee right off the top, and there is the word "plus" in the information meaning there will be adding.
1. Add the given cost plus the addition sign.
75 + ___ = ?
Now, we must find out what fills in "__." It says that it costs $20 per hour to rent the limo. However, it doesnt tell you how many hours it is being rented for, however it does say that the amount of hours is represented by T. So, fill in that information.
2. Fill in the second number.
75 + 20T = ?
Since there isn't a number to finish the second number to the equation, we know that there isn't going to be a completed answer. So, fill in the final cost with "c" as explained in the equation.
3. Write the answer.
75 + 20T = c
So, the equation to this problem is:
75 + 20T = c
Which is how to find out how much the limo costs to rent it.
What is the equation of a line that passes through the points (-4,2) and (-8,-3).
Answer:
[tex]y = \frac{5x}{4} + 7[/tex]
I hope this helps!
Sonya is a waitress. She earns $200 per week plus a 15% tip on the cost of each meal she serves. What must be the total cost of the meals she serves in order for her to earn at least $425 each week?
help me please
Answer:
Sonya would need to serve 1500 meals
Step-by-step explanation:
425=15%(x)+200 or 425=.15(x)+200
solve for x
425=.15x+200 distribute
subtract 200 from both sides
225=.15x
divide both sides by .15 to isolate x
1500=x or x=1500
Corey’s cat weighed 4 pounds. A year later, it weighed 175% of its previous weight. How much did Corey’s cat weigh after one year?
Answer:
7
Step-by-step explanation:
Answer:
the answer is 7 i got it right
Step-by-step explanation:
I NEED HELP ASAP. WILL GIVE BRAINLIEST.
A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240π inches per minute.
What is the distance, in inches, between the particle and the fixed point?
3.75
7.5
15
30
Answer:
I believe it is 7.5
Step-by-step explanation:
v = wr
240 [tex]\pi[/tex] = (16)(2[tex]\pi[/tex])(r)
r = (240[tex]\pi[/tex]) / (16)(2[tex]\pi[/tex])
r = 7.5 inches
Identify the domain and the range of the function
Answer: The first
D: [-3,∞)
R: [-1,∞)
The second
D: [-3,2)
R:[-5,4]
Step-by-step explanation:
In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°. What is the measure of angle G?
42°
53°
117°
127°
Answer: 127 degrees
Step-by-step explanation:
I hope this helps
E F
H G
I had to write it out the parallelogram so I could have a better visual.
F and G are consecutive angles in a parallelogram (not on opposite sides).
This means they add to be 180 degrees.
F+G=180
(3x-10)+(5x+22)=180
(3x+5x)+(-10+22)=180
8x +12=180
Subtract 12 on both sides:
8x =180-12
Simplify:
8x =168
Divide both sides by 8:
x =168/8
x =21
If x=21 and want the measurement of angle G, then
(5x+22)=(5*21+22)=127.
So angle G has measurement 127 degrees.
The the measure of angle G will be 127°. Then the correct option is D.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In parallelogram, the sum of the two adjacent angle is 180 degrees.
In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.
The angle F and angle G are the adjacent angle.
The sum of angle F and angle G is 180°.
∠F + ∠G = 180°
3x - 10 + 5x + 22 = 180
8x = 168
x = 21
Then the the measure of angle G will be
∠G = (5x + 22)°
∠G = (5 × 21 + 22)°
∠G = (105 + 22)°
∠G = 127°
The the measure of angle G will be 127°.
Then the correct option is D.
More about the parallelogram link is given below.
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answer this math question for 10 points
Need help ASAP Tysm!
Answer:
Step-by-step explanation:
35
add 732+89,431+5,341+6
which equation represents the model?
Answer:
think its A
Step-by-step explanation:
what is the solution to x-4=17
Answer:
x=21
Step-by-step explanation:
x=17+4
x=21
how do you illustrate quadratic equation in one varible?
Answer:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Step-by-step explanation:
What is 3 2/5 + 2 1/10?
Answer [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
2. What is the slope of the line through the points (-6, 3) and (-7,-4)?
a. 3/1
b. 1/7
c. 1/3
d. 7/1
The required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.
Given that,
To determine the slope of the line through the points (-6, 3) and (-7,-4).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the line is given by,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the point in the above equation,
m = 3 + 4/ -6 + 7
m =7 / 1
m = 7
Thus, the required slope of the line through the points (-6, 3) and (-7,-4) is m = 7.
Learn more about slopes here:
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write 2.64 as a percent
Answer:
264%
Step-by-step explanation:
2.64 left 2 decimal places
Answer:
2.64 as a percent is 264%