The area of a circle, in terms of π, is 50π m(squared)
Find the value of the radius.
Give your answer as a simplified surd.
Step-by-step explanation:
It will pie r squared is equal to area
/ take this sign as pie
/ ×r^2=50/
r^2=50/÷/
r^2=50
r =
[tex] { \sqrt{50} } [/tex]
=
[tex]5 \sqrt{2} [/tex]
The value of the radius of the given circle is 5√2, of which the area is 50π m².
The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.
As per the question, given that the area is 50π m².
So, we can set up the equation as follows:
50π = πr²
To solve for r, we divide both sides of the equation by π:
50 = r²
Taking the square root of both sides, we get:
√50 = √(r²)
Simplifying the square root of 50 gives:
r = √50
r = √(25 x 2)
r = 5√2
Therefore, the value of the radius is 5√2.
Learn more about the area of the circle here:
brainly.com/question/19794723
#SPJ4
Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
Answer:
a) 3√3b) √7Step-by-step explanation:
a)
7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3b)
5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√79. Antonio loves to go to the movies. He goes both at night and during the day. The cost of a daytime movie(x) is $6.00. The
cost of an evening show is $8.00(X). If Antonio went to see a total of 12 movies and spent $86.00, how many night movies
did he attend? Identify a system to represent this scenario and use desmos to graph the system and find the solution
Ommy paid $39 to fill up the gas tank in his car. If one gallon of gas costs $3, how many gallons of gas did Tommy put in?
I have to solve a question using pythagorean theorem
Answer:
13
Step-by-step explanation:
c^2=12^2+5^2
c^2=144+25
c^2=169
c=13
What are the answer for these questions?
Answer:
y intercept is (0,8) and the slope is 2 or 2/1 (its the same thing)
Step-by-step explanation:
i dont know the first answer sorry :( and to find the y-intercept its just where the line crosses the y-axis. slope is just rise over run and you go up 2 and to the right 1, so its 2/1 :) hope this helped!
The measures of three angles of a triangle are given by (x - 5)°, (3x)º, and
(x + 10)°. What is the value of x?
Answer:
x = 35º
Step-by-step explanation:
(x - 5)°+ (3x)º+ (x + 10)° = 180º
5x + 5 = 180º
5x = (180 - 5 )º
5x = (175 )º
x = 35º
Renting roller blades costs a flate fee of $5 plus an additional $2.50 per hour. Write a linear equation that models this.
Answer:
Linear equation : y = 2.50h + 5
Step-by-step explanation:
Given that:
Fee for renting roller blades = $5
Per hour charges = $2.50
Let,
h be the number of hours roller blades were rented
y be the total amount
Total amount = Per hour charges * Number of hours + Flat fee
y = 2.50h + 5
Hence,
Linear equation : y = 2.50h + 5
Need help on this? Please help
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
Write the point-slope form of the line that passes through (–7, 8) and has a slope of –5.
Answer: y = -5x + 20
Step-by-step explanation:
Remember that : y=mx+b
y = (-5)x + b
Now you can plug your coordinates (-7,8) into that equation.
8 = (-5)-7 + b
Solve for b
8 = -12 + b
Add +12 to both sides of your equation:
20 = b
Now, your new equation is:
y = -5x + 20
11 / 12+ 11 / 4 in fraction
Answer:
in fraction its 33/4
in mixed number fraction its 8 1/4
hoped this helped
Answer:
44/12
Step-by-step explanation:
When adding fractions, remember that both of the fractions need a common denominator. See below:
11/12 + 11/4 * (3) = 11/12 + 33/12 = 44/12
12 is a common denominator, so you need to multiply 11/4 (both top and bottom) by 3.
PLEASE-PLEASE-PLEASE HELP!!!
Answer:
the answer is C
Step-by-step explanation:
HELP PLZZZ WHATS 2+2+5+9+100-76=?
Answer:
42
Step-by-step explanation:
"alexa what's 2+2+5+9+100-76" Imao
it's easy so the answer is 42
What do n the angle measure for A
Answer:
B I think, but I might be wrong
What is 8 7/10 as an improper fraction
therr are 15 boys and 16 girls in a classroom. Write the following ratio:boys to girls
Answer:
15:16 boys to girls
Step-by-step explanation:
please help me !!:)
273=7(2n+3)
URGENT
NEED WORK SHOWN
NEED WORK SHOWN
Answer:
18
Step-by-step explanation:
Distribute the 7 to get 273=14n+21
Subtract 21 to get 14n=252
Divide by 14 to get 18
Answer:
N=18
Step-by-step explanation:
Distribute~ 273=14n+21
Minus 21 to both sides~ 273-21=14+21-21
Divide your 14 to get rid of your variable~ 14n/14=252/14
Which would equal •18•
Solve.
4×[52×(3×15)+32]-5=
BRAINLIEST! URGENT!
7a. Find the PERIMETER of the figure.
6 mm
2 mm
2 mm
a) 14.42 mm
b) 19.42 mm
c) 24.84 mm
d) 13.84 mm
Answer:
The Perimeter figure is: 21.42 mm
Step-by-step explanation:
The given figure consists of two parts:
1) Semicircle
2) Square
Determining the Perimeter of the Semicircle:
Given
Diameter d = 6 mm
Radius r = d/2 = 6/2 = 3 mm
In a semi-circle, the perimeter is made up of half the circumference (arc) of the circle and the diameter of the circle.
Perimeter = 1/2 × ( circumference of the circle ) + d
= 1/2 × (2πr) + d
= πr + d
= 3.14(3) + 6
= 9.42 + 6
= 15.42 mm
Thus, the Perimeter of the semi-circle is: 15.42 mm
Determining the Perimeter of the Square:
Given
Length of a side = a = 2mm
Perimeter of square = 4a = 4(2) = 8mm
Thus, the Perimeter of the Square is: 8mm
Now, in order to determine the Perimeter of a complete figure, we need to add the Perimeter of the square and the perimeter of the semicircle and subtract 2 mm.
The reason why we need to subtract 2mm because one side of the square (2mm) is overlapped along the diameter of the semicircle.
Now,
Figure Perimeter = Perimeter of square + Perimeter of Semicircle - 2
= 8 + 15.42 - 2
= 21.42 mm
Therefore, the Perimeter figure is: 21.42 mm
Note: It seems you may have missed adding the correct choice there.
list 4 rational numbers between -2 and -1
Answer:
-1.25
-1.30
-1.50
-1.75
Step-by-step explanation:
There's more than 4 correct answers but...
Answer:
1.75, -1.875, -1.9375, -1.46875
Step-by-step explanation:
What should the first step be to solve these equations please explain your answer for each question! I’ll give Brainly!
Answer:
Cross Multiply
Step-by-step explanation:
Cross multiplication can help answer these questions.
a. 3x-4/8=x+2/3
step 1- multiply 8 and (x+2), and 3 and (3x-4)
8x+16=9x+12
step 2- Subtract 8x on both sides
16=x+12
step 3- subtract 12 on both sides
4=x, or x=4
b. 3(2-r)/4=3+r/6
step 1- open parentheses
3(2-r)=6-3r
6-3r/4=3+r/6
step 2- cross multiply (put them into a equation without fractions by cross multiplying)
(6-3r) · 6= (3+r) ·4
step 3- multiply
36-18r=12+4r
step 4- solve
add 18r on both sides
36=12+22r
subtract 12 from both sides
24=22r
divide by 22 on both sides
24/22 or 12/11=r
r=12/11
c. 4p+3/8=p+2/4
step 1- cross multiply
(4p+3) · 4= (p+2)·8
step 2- open the parentheses
16p+12=8p+16
step 3- solve
subtract 12 on both sides
16p=8p+4
subtract 8p on both sides
8p=4
divide by 8 on both sides
p=4/8, or p=1/2
d. 2(a-7)/15=a+4/6
step 1- open parentheses
2(a-7) = 2a-14
2a-14/15=a+4/6
step 2- cross multiply
(2a-14) · 6 = (a+4) · 15
step 3- open parentheses
12a-84=15a+60
step 4- solve
subtract 60 on both sides
12a-144=15a
(the answer is -144 because a negative minus a negative such as -80-60=-144.
subtract 12a on both sides
-144=3a
divide by 3 on both sides
-48=a, or a=-48
Which is the graph of f(x) = (4)*?
its 2 +93+9202+820201+2829202038374
I need help in algebra
which is the slope of a line that contains A (3,4) and B (2,2)
joe smith scored 37 of his teams 100 points in a game. What percentage of points did he score?
Answer:
37%
Step-by-step explanation:
37/100
Please help I don’t know how to answer !!!
I need both of these.
Answer:
Step-by-step explanation:
First method: for (x+3)^2 if you multiply (x+3)(x+3) you get x^2+6x+9 which doesn't equal x^2+9
Second way: plug in a variable for example (2+3)^2= 25 and 2^2+9=13 so 13 doesn't equal 25
Find the exact length of the third side.
4
2