Juan is clearing land in the shape of a circle to plant a new tree. The diameter of the space he needs to clear is 52 inches. By midday, he has cleared a sector of the land cut off by a central angle of 140 . What is the arc length and the area of land he has cleared by midday?
Answers
The central angle of 140 degrees illustrates the degree measure of the arc
The arc length cleared is 63.54 inches and the area of the land cleared is 826.00 square inches
How to determine the arc lengthThe given parameters are:
Central angle = 140 degrees
Diameter = 52 inches
The length of the arc is then calculated s:
[tex]L = \frac{\theta}{360} * \pi d[/tex]
Substitute known values in the equation
[tex]L = \frac{140}{360} * 3.142 * 52[/tex]
Evaluate the products
[tex]L = \frac{22873.76}{360}[/tex]
Evaluate the quotient
[tex]L = 63.54[/tex]
Hence, the arc length cleared is 63.54 inches
How to determine the area of the land clearedThe area is calculated s:
[tex]A = \frac{\theta}{360} * \pi (d/2)^2[/tex]
Substitute known values in the equation
[tex]A = \frac{140}{360} * 3.142 * (52/2)^2[/tex]
Evaluate the products
[tex]A = \frac{297358.88}{360}[/tex]
Evaluate the quotient
[tex]A = 826.00[/tex]
Hence, the area of the land cleared is 826.00 square inches
Read more about arc lengths at:
https://brainly.com/question/2005046
Answer:
64 and 826
Step-by-step explanation:
The land Juan has cleared by midday has an arc length of about 64 inches and an area of about 826 square inches.
Related Questions
At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.
Which equation shows the total cost (
c
) for the number of games (
g
) one bowls?
Answers
Answer:
I don't see any answer options, but the total cost should be:
c = $5.00 + $1.25g
Step-by-step explanation:
Assuming that the cost is for one person playing g games, and that person needs to rent 1 pair of shoes, the cost should be:
c = $5.00 + $1.25g
6 Xavier earns $12.50 for each lawn he mows. If he mowed 8 lawns last week, how
much money did he earn? Show your work.
Answers
Answer:
12.50x2.50x8=w
Step-by-step explanation:
12.50×8=100
Answer:
$100
Step-by-step explanation:
12.50 multiplied by 8.
Please help will mark
A scientist uses the equation shown below to predict the future population of a species. In the equation, y represents the estimated population and trepresents the number of years.
y=150•4^t
Which number is closest to the value of y when t=3/2
Answers
Answer:
1200 i think
Step-by-step explanation:
i used a calculator since its hard for me to do mental math
question 2
(sorry i replied late i was doing some of my school work)
so you make A be equal to 5000 since you want to know when his account will be that much money sooo
5000 = 2000(1.07t)
you divide 2000 from both sides
5000/2000 = 1.07t
5/2 = 1.07t
now you have to isolate t to solve for it
soo divide 1.07 to both sides
5/2 / 1.07 = t
t is equal to about 2.34 or 2 years (depends on what it tells you to round to) in the calc t is 2.336448598
so in maybe 2 years he'll have 5000 dollars
The largest major arc is:
MHJ
JMG
GNM
HLI
Answers
Answer:
the correct answer is HLI
Help need answers asap
Answers
Answer:
x = 25
y = 6
Step-by-step explanation:
< B = < M
2x - 20 = 30
2x = 50
x = 25
AB = LM
7y - 8 = 2y + 22
5y = 30
y = 6
When Juan got home from school, he worked on his homework for 45 minutes. Then, he took a break and had a snack for 35 minutes, and after that went to baseball practice for 1 hour and 55 minutes. He finished baseball practice at 6:05 p.m. What time did he get home from school? of
Answers
Answer:
2:50 p.m.
Step-by-step explanation:
After he got home, his activities were:
homework: 45 minutes
break & snack: 35 minutes
baseball practice: 1 hour 55 minutes
1 hour = 60 minutes
Total time of activities:
45 minutes + 35 minutes + 60 minutes + 55 minutes = 195 minutes
195 minutes = 180 minutes + 15 minutes = 3 hours 15 minutes
Now we subtract 3 hours 15 minutes for 6:05 p.m.
6:05
- 3:15
----------
We need to borrow 1 hour from 6 hours. 1 hour is 60 minutes. 6 hours becomes 5 hours. We add the 1 hour as 60 minutes to the 5 minutes.
6:05 5:65
- 3:15 --------> - 3:15
----------- ----------
2:50
Answer: 2:50 p.m.
Graph f(x) = x and g(x) = 5x + 1. Describe the transformations from the graph off to
the graph of g.
Answers
Answer:
the G graph runs straight through the middle while the F does not
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
Find the value of cos I rounded to the nearest hundredth, if necessary.
Answers
Answer: 41.40962211 or 41.41
Step-by-step explanation:
Cos i = 30/40
x = Cos ^-1 (30/40)
x = 41.41 or 41.40962211
Victor's class is going on a field trip.
They will ride on the city bus twice,
once going and once coming back.
The one-way bus trip costs 35€ per
child and 50¢ per adult. There are
24 students, 4 parents, and 1 teacher
4
going on the trip. How much money
will they need for everyone to ride
the bus?
Answers
Answer:
2180
Step-by-step explanation:
35x24=840
50x5=250
add those tou get 1090
multiply by 2
2180
Owen has a mask collection of 300 masks. He keeps 63 of the masks on his wall. What percentage of Owen's mask collection does he keep on his wall?
Answers
Using the percentage concept, it is found that he keeps 21% of his mask collection on the wall.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, the parameters are a = 63 and b = 300, hence the percentage is given by:
[tex]P = \frac{63}{300} \times 100\% = 21\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
someone answer part B.
Answers
Not letting me add answer
Refer to the attachmentEmma sold all the parasols in the store for $84. She brought new
parasols from the stockroom and decided to increase the price of a
parasol to $13.
Which of the following equations represents the total amount, t, Emma
will have earned after selling the additional, p, parasols?
A. t = 84 + 13p
B. t = 84 + (p + 13)
C. t = 84 × 13p
D. t = 84 + [tex]\frac{p}{13}[/tex]
Answers
Answer: B. Emma sold all the parasols in the store for $84. She brought new parasols from the stockroom and decided to increase the price of a parasol to $13.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, she earned $84
She bought new parasols and increase the price of each parasol by $13-> she will earn $13p by selling p additional parasols
->total amount = 84+13p
What is the volume of a cylinder, in cubic cm, with a height of 3cm and a base diameter of 10cm? Round to the nearest tenths place.
Answers
Area=30
Calculate area of the rectangle:30
Need help!
Find the volume!
Answers
Answer:
volume of cylinder is = πr²h
= π4²6 = π x 16 x 6 = 96π yd³
-13 = -3h + 2 solve for h
Answers
Step-by-step explanation:
-13 = -3h + 2
3h - 13 = 2
3h = 15
h = 5
Answer:
-5
Step-by-step explanation:
-13 = -3h + 2 First, move the positive two (we get rid of a + by using a -)
-2 -2
-15 = -3h -3 is divided (opposite of multiplication is division)
----- ------
3 3
-5 = h Now we have our answer :)
Find the distance covered by a car in 3x hours is 27x³ + 9x² - 3x Find the rate of the car. Show your solution.
Answers
Answer:
distance = 27x³ + 9x² - 3x , time = 3x ,
rate =?
[tex]distance = rate \times time \\ \\ rate = \frac{distance}{time} \\ \\ r = \frac{d}{t} \\ \\ r = \frac{27 {x}^{3} + 9 {x}^{2} - 3x}{3x} \\ \\ r = \frac{3x(9 {x}^{2} + 3x - 1) }{3x} \\ \\ r = 9 {x}^{2} + 3x - 1[/tex]
So; The rate of the car equal (9x²+3x-1)
SOLVE BOTH
if f(x)=2x+8, find f(5)
if f(x)=3x+4, find f(8)
Answers
Answer:
Step-by-step explanation:
simple! plug in the 5 for x, f(5)=2(5)+8
f(5)=10+8
f(5)=18
f(8)=3(8)+4
f(8)=28
What is the inverse of function f?
A.
B.
C.
D.
Answers
[tex]f^{-1}(x) = 3-7x\\\\[/tex]
=====================================================
Work Shown:
[tex]f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\[/tex]
The idea is to swap each x and y, then solve for y to find the inverse.
Apply the distributive property to factor out the greatest common factor.
22c+33d =
Answers
Answer:
Step-by-step explanation:
First find the GCF of 22 and 33
22 = 2 * 11
33 = 3 *11
GCF = 11
Distributive property:a*(b+c)=(a*b) + (a*c)
22c + 33d = 11 * 2c + 11 * 3d
= 11*(2c + 3d)
Please help. I’ll mark you as brainiest and give 20 points
Answers
Answer:
i and iii are correct
Step-by-step explanation:
ur welcome:)
please help!!! ASAPPP 18 pts + brainlest
Answers
Answer:
2,544.42
Step-by-step explanation:
HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME
Which equation describes a line with a slope of 2/5 and a y-intercept at (0, 4)?
Answers
Answer:
y=2/5x+4
Step-by-step explanation:
because 4 would be where the line crosses the number 4 on the y axis which puts it at the back and the slope is x because it increases by an amount indescribable.
step by step explanation:
The table shows the distance a cyclist rides her bicycle over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?
Bike Riding Distance
Time
(minutes) Distance
Traveled (ft)
1 1120
2 2240
3 3360
4 4480
A. The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
B. The rate of change is constant and represents a speed of 3360 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
C. The rate of change is constant and represents a speed of 2240 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
D. The rate of change is constant and represents a speed of 4480 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Answers
From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the distance travelled by the bike after x minutes.
From the table:
Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min
The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Find out more on linear equation at: https://brainly.com/question/14323743
What is the mass of Cl2
Answers
Answer:
molar mass of carbon-12
Step-by-step explanation:
Para las celebraciones del barrio de Santiago se junto cierta cantidad de dinero que se distribuirá de la siguiente forma:?
Answers
Answer:
4,767
Step-by-step explanation:
Factor the expression below. 12x3−18
Answers
Answer:
6(2x³-3)
Step-by-step explanation:
To factor the expression: 12x³−18:
We rewrite 12x³ as 6×2x³
And rewrite -18 as -6×3
6×2x³-6×3
Take out the common factor of 6:
6(2x³-3)
This is our answer
Brainliest please!
Someone pls help?????????????????????
Answers
Answer:
10 more couches were sold.
Step-by-step explanation:
On Tuesday, they sold 15 couches, while on Wednesday only 5 were sold.
15-5=10 Couches
Jonathan needs to make 5 bowl of pasta.if he uses 145mL of sauce.how many milliliters of sauce will he use for each bowl of pasta
Answers
Answer:
145/5 = 29
Step-by-step explanation:
I am not sure of this answer if this is correct please mark me as brainliest
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
The triangle below is isosceles, Find the length of side x to the nearest tenth.
Answers
Answer: 3.5
Step-by-step explanation:
If X = 6 cm and Z = 10 cm, what is the length of Y?
A. 8 cm
B. 8 cm
C. 10 cm
D. 6 cm
Answers
Answer:
If XYZ is a triangle, then Y = 8 cm
Step-by-step explanation:
X^2 + Y^2 = Z^2, by the Pythagorean Theorem.
Z, in this equation, represents the hypotenuse; the hypotenuse must be the longest side, and we can therefore eliminate C, 10 cm, without even beginning. Then, we may plug the given values in.
(6)^2 + Y^2 = 10^2
36 + Y^2 = 100
Y^2 = (100 - 36) = 64
Y = 8 cm
I hope this helped! :)