Work out the area of this circle. Give your answer in terms of pi and state its units.
9514 1404 393
Answer:
36π mm²
Step-by-step explanation:
You know that (ab)² = a²b². This tells you that ...
πr² = π(6 mm)² = π(6² mm²) = 36π mm²
The units of area are square millimeters (mm²).
_____
Additional comment
For a variety of reasons, I find it is often helpful to keep units of measure with the associated number. It serves as a check on the arithmetic, among other things. If the units don't make sense, chances are good that the math doesn't make any sense.
It should be fairly obvious that if linear dimensions are in millimeters, then the corresponding area dimensions will be square millimeters. (Volume will be cubic millimeters.)
In the math, the units can be treated in the same way as any other variable. This tells you, for example, that you can only add (or subtract) measures with the same units (like terms). Division can be used to cancel same units, or to get from volume to area, for example (mm³/mm = mm²).
The length of a rectangle is x feet more than its width. The area of the rectangle is 5x + 25. What is the width of the rectangle?
Answer:
w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Before we start the solving, we can make the following statements:
Area = l x w
Area = 5x + 25
therefore,
l x w = 5x + 25
Since the question states that the length is x more than the width, so we can make the following statement:
w = l + x
With this, we can substitute it to the first statement we made, l x w = 5x + 25,
l x (l + x) = 5x + 25
[tex]l^{2}[/tex] + lx = 5x + 25
lx - 5x = 25 - [tex]l^{2}[/tex]
x(l - 5) = 25 - [tex]l^{2}[/tex]
x = [tex]\frac{25 - l^{2}}{l - 5}[/tex]
From this, we can find w by substituting it in the statement we made earlier, w = l + x,
w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]
Brainiest guranted question below.
Answer:
48
Step-by-step explanation:
30 is 5/8 of ?
30x8=240
240/5=48
(18 Math teachers and 30 non-Math teachers)
Solve the linear system below using the substitution method.
y = 5x – 22
3x +2y=34
Answer:
Use photo math, it will explain all the steps
Answer:
x = 6 , y = 8 ( 6 , 8 )
Step-by-step explanation:
If we solve the linear system that you gave us,
y = 5x – 22
3x +2y=34
We get that x is 6 and y is 8.
In other words, since it's a point, it should be, ( 6 , 8 )
can somebody help me with math TwT:
question one 1: Which number(s) are 6 units from zero on a number line?
1. 3
2. 6
3. -6
4. 12
----------------------------------------------------------------------------
Question 2 ^^: Which comparison is not correct?
1. -3 < 4
2. 3 < 6
3. 1 > -9
4. -8 > -6
tell me the answers also for question 1 its either one or more than one answer ^^ ty and please don’t steal my points :(
1. 12 (i think)
i don't know about question 2
Answer: -8 > -6
Step-by-step explanation:
Which function models the sum?
the table above represents what
Answer: exponential decay
Step-by-step explanation:
Exponential decay means that it's getting smaller and you can see that the numbers are getting smaller on the y axis.
Hope this helps :)
Please help me solve this I’ll give you all my points
Answer:
170
Step-by-step explanation:
Evaluate the expression where x= 5 y=2
What are the steps to solve a quadratic equation? (If you do not give a thorough explanation you will be reported.) Have a good day! :)
Answer:
See belowStep-by-step explanation:
first thing you didn't give any quadratic equation and also didn't allude which method you indeed however I'll give you two methods
factoringquadratic formulato get elaborately factoring method
see this question which is answered by me
https://brainly.com/question/22505331quadratic formula:
[tex] \displaystyle \: x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{ 2a} [/tex]by using this formula we can solve quadratic very early
we just need to substitute the value of a,b and c and simply to get x
https://brainly.com/question/9701183?referrer=searchResultsExample 1 – Solve: Example 1
Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.
Step 1
Step 2: Use the order of operations to simplify the quadratic formula.
Step 2
Step 3: Simplify the radical, if you can. In this case you can simply the radical into:
Step 3
Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.
A restaurant's delivery area has a boundary represented
by a circle on a coordinate grid. The locations at the
points (0, 26) and (8, -2) are on the boundary of the
circle's diameter.
Answer:
Step-by-step explanation:
(4,12)
-4,-12,212
Answer:
The coordinates of the location of the restaurant are
✔ (4, 12)
The equation for the circle that models the boundary of the delivery area is
(x
✔ – 4
)2 + (y
✔ – 12
)2 =
✔ 212
.
Step-by-step explanation:
Help me help me pls!
Answer:
13.6 units (to 3 significant figures)
Step-by-step explanation:
C ( -4,6) and D (-4,-5)
the formula for distance is : √(x2 - x1)² + (y2-y1)²
in this case x1= -4 , x2= -4 and y1 =6 , y2 = -5
so substitute the values and you will get the answers
19) An airplane has 150 passengers. 48% of the passengers are traveling alone.
How many passengers are traveling alone?
Answer:
72 passengers
Step-by-step explanation:
What we know:
There are 150 passengers in total48% of the passengers are travelling aloneTo find how many passengers are travelling alone, multiply 150 by 48%.
48% ⇒ 0.48 as a decimal
150 × 0.48 = 72
Therefore, 72 passengers are travelling alone.
I hope this helps!
Answer:
72
Step-by-step explanation:
the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there
Answer:
132
Step-by-step explanation:
First divide the number of lampreys by the ratio.
162/27=6
Then multiply the result (6) by the oarfish part of the ratio
22*6=132
HELP PLEASE DUE IN 4 MINUTES
Answer:
8/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
this is the correct answer
please help me. I can't find this out
Answer:
-1
-1
5
-1,3
7fufuviiviviv8h
36 is 18% of what number
Answer:
200
Step-by-step explanation:
Do 36/0.18
200
Find the inverse of the function.
f(x) = -3x + 7
105-30-45-3028+10000000000000038492=?
Answer:
105-30-45-3028+10000000000000038492= 1.000000000000003e19
Step-by-step explanation:
I did the math
have a good day!!
you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm. find the area of the trapezoid and answer this question in square cm.
Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height or distance between the two bases
A=h(b1+b2)/2
Here we have h=8cm, b1=6cm, and b2=11cm so
A=8(6+11)/2
A=8(17)/2
A=4(17)
A=68 cm^2
The following list has a median of 43. what would be the new median if 21 was added to the list?
31 48 50 23 28 52 57 38 56 27
Answer:
38
Step-by-step explanation:
cross the numbers out
Branliest to correct answer explain how you solved it please
Answer:
{1}
Step-by-step explanation:
A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.
{1} is the answer since it is the only number that is in all three sets.
Write a quadratic function to model the graph to the right
f(x)=0
20-
18-
16-
14
12-
10-
8-
6-
4
2-
10 -3 -6
8
Answer:
10 -3 -6
Step-by-step explanation:
A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?
I know it's 144 but 144 what?
Answer:
144in square
Step-by-step explanation:
what is -1/8 - 6 7/8
Answer:
-7
Step-by-step explanation:
I am sorry if I got it wrong.
Please help me !!!!!!
Answer:
200 step by step
Step-by-step explanation:
This is the table answer this please
Answer:
so answer is b.42
Step-by-step explanation:
3 7
6 14
9 21
every time width increase by 3 length increase by 7 so:
12 28
15 35
18 42
Help please. Mathematics question 6.
[tex]{ :{ \implies { \tt{ \blue{ \frac{1}{4} x + 3 - \frac{1}{3} x + ( - 2)}}} }}\\ \\ \\ { : { \implies{ \blue{ \tt{ \frac{1}{4} x - \frac{1}{3} x + 3 - 2}}}}}[/tex]
[tex]{ : { \implies{ \tt{ \blue{ \frac{1}{4} x - \frac{1}{3} x + 1}}}}} \\ \\ \\ { : { \implies{ \tt{ \blue{ \frac{3x - 4x + 12}{12}}}}}} [/tex]
[tex]{ :{ \implies{ \blue{ \tt{ \frac{12 - x}{12}}}}}} \\ \\ \\ { : { \implies{ \blue{ \tt{1 - \frac{x}{12}}}}}} [/tex]
option ( D ) is correct
Simplify the following fraction: 12/8
Answer:
3/2 or 1.5
Step-by-step explanation:
have a good day
How many millimeters equal 5 liters?
Answer:
multiply the volume value by 1e+6
Step-by-step explanation: