Exact Area = 225/pi
Approximate Area = 71.65605
The approximate value is using pi = 3.14; I rounded to the five decimal places. The units for the area are in square feet, which can be written as "sq ft" or "ft^2" without quotes.
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Explanation:
C = 30 is the circumference
C = 2*pi*r ... is the circumference in general
Equate the two right hand sides and isolate r
2pi*r = 30
r = 30/(2pi)
r = 15/pi
This is the exact radius in terms of pi
Plug this into the area formula to get...
A = pi*r^2
A = pi*( r )^2
A = pi*( 15/pi )^2
A = pi*( 225/(pi^2) )
A = 225/pi
This is the exact area in terms of pi. If your teacher wants the exact answer, and only this, then you can stop here.
If your teacher wants you to use pi = 3.14 as the approximation, then we'll get an approximate area of roughly A = 225/pi = 225/3.14 = 71.65605 square feet. Use more decimal digits in pi to get a better approximation.
A party rental company has chairs and tables for rent. The total cost to rent 7 chairs and 9 tables is 73. The total cost to rent 5 chairs and 3 tables is 29 . What is the cost to rent each chair and each table?
7C+9T=73
+
5C+3T=29
(12C+12T=102)/12
C+T=17/2
The scatter plot shows the number of people visiting a walking track on 15 different days and the temperature on those days.
Temperature vs. Number of People
Visiting a Walking Track
40
35
30
25
20
15
10+
5+
0
40 45 50 55 60 65 70 75 80 85
Temperature (°F)
Select all the statements that correctly describe the data.
A. The data shows an outlier at 70 degrees.
B. The data shows a negative linear association.
C. The data shows a positive nonlinear association.
D. The data shows that, as the temperature at the track increases, more people visit.
E. The data shows that the temperature at the walking track depends on the number of people who visit.
Answer:
its just D or its D and E
Step-by-step explanation:
The train is travelling with the speed of 90km/hr. What is the distance covered in 2min?
We are given:
Speed of the train = 90 km/h
Converting the speed to km per minute:
[tex]90\frac{km}{h}* \frac{h}{60 min}[/tex] [since 1 hour = 60 minutes, h/60 minutes is equal to 1]
The 'h' in numerator and denominator will cancel out
90km / 60 min
1.5 km/min
Distance travelled in 2 minutes:
Distance = Speed * time
Distance = [tex]1.5\frac{km}{min}* 2 min[/tex]
Distance = 3 km
Two congruent squares are shown in Figures 1 and 2 below. I need answer quick!
Answer:
The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by 4c. The combined area of the two unshaded squares in Figure 2 can be 4a+4b. The areas of the squares in Figure 1 and Figure 2 show that 4a+4b=4c.
Step-by-step explanation:
iReady math diagnostic.
Andrea reads 20 pages an hour. Which expression below represents how many pages Andrea would read in h hours?
A. 60h
B. 20h
C. 20 + 60 + h
D. 20 + h
Which ordered pair is the solution to
the system of linear equations below?
(Lesson 8)
2x + y = -4
3x + 2y = -10
(0,4)
(6,-14)
(-3,2)
(2,-8)
Answer:
The fourth one! (2,-8).
What is the answer to this?
Answer:
Area = 1514 m^2
Step-by-step explanation:
Total Area = area of rectangle + area of circle
= (60 m × 20 m) + πr^2
= (1200 m^2) + (3.14)(10 m)^2
= (1200 m^2) + (314 m^2)
= 1514 m^2
sunita has to ribbons of lengths 25 inches and 35 inches he want to cut the Ribbon into strips of equal length what is the longest possible length for the strips
Answer:
5 cm
Step-by-step explanation:
find the x intercept of 3x²-5x-28=f(x)
Answer:
x+ 4, -7/3
Step-by-step explanation:
12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.
Answer:
tangent 59° = Tree height / 45 feet
Tree Height = 1.6643 * 45
Tree Height = 74.8935 Feet
Step-by-step explanation:
Help!! It's question 14
Answer:
200/120 = 5/3
5/3 x 3 = 5 oz
you can also do it this way:
3/120 = x/200
x = 600/120 = 5
Solve for x.
I +27= -12
Enter your answer in the box
X
Answer:
you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.
Ancilla and christabel are two wives of David, Ancilla is older than christabel .Given that Ancilla's age is (5x-4) years and christabel's age is (2x+1)years. write down the expression interns of x for how much older Ancilla is than christabel
Answer:
(5x - 4) = 2(2x + 1)
Step-by-step explanation:
Since Ancilla is twice as old as Christabel
Ancilla's age (5x - 4) is twice Christabel (2x + 1) so,
(5x - 4) = 2(2x + 1)
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
c sorry if im wrong
Step-by-step explanation:
soryy if im wrong please forgive me if i am
Answer:
D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.
Three of these turtles weight 1,050 pounds. How much does one Pinta Island Tortoise weight?
Answer:
350 pounds
Step-by-step explanation:
Assuming three of the turtles are Pinta Island Tortoise, then:
3 turtles -- 1050
1 turtle -- 1050/3 = 350
Thenks and mark me brainliest :))
Answer:
the answer is 350
Step-by-step explanation:
1050 divided by 3 equals 350!!! hope this helps
The list price of a furnace is $2,468.00. The manufacturer offers a discount of 15 percent. The net price is
$2,097.80.
$370.20.
$209.78.
$3,702.00.
Answer:2,097.80
Step-by-step explanation: If you multiply the 2,468.00 to 0.85% you will get the answer of 2,097.80.
Answer:
$2,097.80
Step-by-step explanation:
$2,468.00 - 15%
$2,468.00 * 0.15 = $370.20
$2,468.00 - $370.20 = $2,097.80
(Just another way to do it)
PLEASE HELP! NO FILES!
Solve for x
x+7y=14
X=________
Answer:
x equals 14 - 7y
Step-by-step explanation:
x + 7y = 14
From this, take 7y to the other side. On shifting it to the other side of the equation, its sign changes to negative.
x = 14 - 7y
Then, we get x equals 14 - 7y.
1. a box contains 11 pink 8 blues and 9 orange marbles. If you pick two marbles without looking , what is the probability that the first will be orange and the second will be pink?
2. You accidentally dropped a coin from the top of 10 stairs. What is the probability that it will land heads up on the seventh step?
10) A 15% tip is left on a $72.25 dinner bill. How
much is the tip? Round to the nearest hundredth
is y = 2(5)^x + 1 linear, exponential, or quadratic?
Answer:
Exponential .
Step-by-step explanation:
If you have x with that symbol ^ then it is a exponet, which makes it a exponential.
PLEASE HELP ASAP!!!
Answer:
a
Step-by-step explanation:
a is the answer
Take(10 2+7−3)from(4 2−9+12)
Answer: -13
How to: Simplify the expression.
Answer:
0 is less than 2 is equal to 2
0/
1
< 2/
1
= 2/
1
Find the sum of the series please
Answer:
12
Step-by-step explanation:
This is considered a geometric series.
a = 4
r = 2/3
[tex]Sum = \frac{a}{1-r}[/tex]
[tex]Sum = \frac{4}{1-\frac{2}{3} } =12[/tex]
Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while
he was there. Which expression can he use to help him find the cost of the trip?
(x = number of days spent in Alaska) *
Answer:
Total cost of the trip = 243 + 72x
Step-by-step explanation:
Cost of airfare = $243
Amount spent per day = $72
Which expression can he use to help him find the cost of the trip?
Let
x = number of days spent in Alaska
Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)
= 243 + (72 * x)
= 243 + 72x
Total cost of the trip = 243 + 72x
If he spent 4 days on the trip
Total cost of the trip = 243 + 72x
= 243 + 72(4)
= 243 + 288
= $531
HELP ME PLEASE
24d=12
What is d
-12c=12
What is c
There are two precalculus sections at a high school. Mr. Abel's class has 14 girls and 8 boys, while Mr. Bonitz's class has 12 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answer:
14/46
Step-by-step explanation:
Hi,please someone can help me i'm lost..
Nick was thinking of a number. Nick divides by 6, then adds 6 to get an answer of 2. What was the original number?
Answer:
let the number be n
[tex]\frac{n}{6} +6=2\\\\\frac{n}{6} = -4\\\\n = -24[/tex]
Help plz..And No links!! I repeat No links!!
Answer:
961.327 square inches
hundreth = 961.328
Step-by-step explanation:
if u want I can show you the steps
Answer:
V = approx 2035.75
2000 restaurants will grow about 3% every year, what is the equation that represents it. Y = restaurants and t = years
Answer:
Y= PV*(1 + g)^t
Step-by-step explanation:
Giving the following information:
Number of Restaurants (PV)= 2,000
Growth rate (g)= 3%
To calculate the number of restaurants after t years, we need to use the following formula:
Y= PV*(1 + g)^t
For example, for 10 years:
Y= 2,000*(1.03^10)
Y= 2,688
The graph of which function is the same as the graph of y= shifted to the right 5 units and shifted
up 2 units?
Answer:
y = 1/x-5 + 2
Step-by-step explanation:
Adding 2 will shift the graph up 2 units
Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right