The radius of a circle is 10 meters. What is the area of a sector bounded by a 45° arc?
45°
r=10 m
Give the exact answer in simplest form.
Answers
Answer:
The area of the circular sector is approximately 39.269 square meters.
Step-by-step explanation:
A circular sector is a segment of a circle, whose area ([tex]A[/tex]), measured in square meters, is determined by this formula:
[tex]A = \frac{\theta}{2} \cdot r^{2}[/tex] (1)
Where:
[tex]\theta[/tex] - Central angle, measured in radians.
[tex]r[/tex] - Radius, measured in meters.
If we know that [tex]\theta = \frac{\pi}{4}[/tex] and [tex]r = 10\,m[/tex], then the area of the circular sector is:
[tex]A = \frac{\pi}{8} \cdot (10\,m)^{2}[/tex]
[tex]A \approx 39.269\,m^{2}[/tex]
The area of the circular sector is approximately 39.269 square meters.
Answer:
39.269
Step-by-step explanation:
Related Questions
Ken is cutting wooden pieces that each measure 2/3 ft long. If ken is cutting from a piece that measures 9 1/3 ft, how many pieces can ken cut
Answers
Answer:
14 pieces
Step-by-step explanation:
Given that the total length available is 9 1/3 ft long and the pieces being cut is 2/3 ft long, the number of pieces that may be cut may be computed by dividing the total length by the length of each piece
= 9 1/3 / 2/3
= 28/3 * 3/2
= 14 pieces
2/3(x+6)=-8 whats the value of x?
Answers
Answer:
x=-18
Step-by-step explanation:
Answer:
The answer is -18
Step-by-step explanation:
STEP 1:
[tex]3 \times \frac{2}{3} (x + 6) = 3( - 8)[/tex]
2(x+6) = -24
______________________________________
STEP 2:
Divide both sides by 2:
[tex] \frac{2(x + 6)}{2} = \frac{ - 24}{2} [/tex]
________________________________
STEP 3:
Simplify:
[tex]x + 6 = - 12[/tex]
Subtract 6 from both sides:
[tex]x + 6 - 6 = - 12 - 6[/tex]
________________________________
STEP 4:
[tex]x = - 18[/tex]
Therefore, your answer is -18.
Ask more questions if you don’t understand! :)
Teri earned $18.25 an hour at the semiconductor plant. The payroll deductions reduced her paycheck by $182.50. If her first weekly paycheck was at least $547.50 after the deductions, how many hours did she work that week?
Answers
Answer:
40 hours
Step-by-step explanation:
did 18.25*40 then subtracted 182.50 and it equaled 547.50
In a final exam, need this rn (25 points)
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:
2,020 − 22m
What does the coefficient of the expression represent?
a.The number of months Megan will wait to sell the gadget
b.The monthly depreciation value of the gadget
c. The amount of money Megan will get when she sells the gadget
d.The original value of the gadget
Answers
Answer: B
Step-by-step explanation:
Answer:
the answer to this question would be B
10 - 2.5x > 35
I need help
Answers
Answer:
x<-10
Step-by-step explanation:
10-2.5x>35
2.5x>10-35
2.5x>-25
x>-25/2.5
x>-10
x<-10
Answer:
x < -10
Step-by-step explanation:
-2.5x > 35-10
-2.5x > 25
-2.5x > 25/-2.5
x > -10
You have to switch the sign because you divided it by negative
x<-10
what is the range of possible sizes for x?
Answers
Answer:
0.5 < x < 15.5
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
I NEED HELP FAST PLEASE :)
Answers
Answer:945
Step-by-step explanation:
CAN SOMEONE PLZ HELP ME
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist fills n cavities, what will be the cost of the visit to the dentist?
Write your answer as an expression.
Answers
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
Anthony is buying a new TV that is 25% off. The original price of the TV was $390.
Which answer gives the best estimate for the TV's price after the discount?
$390
$365
$300
$100
Answers
Answer:
390 well actually 389.75 but still
Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the
money to buy a some flowers. The flowers cost $15.99. He also wants to use the rest of the money
to buy some chocolate candies. Each chocolate costs $0.50. Which of these inequalities describes
the situation, where n is the number of chocolates Carlos is able to buy?
A) 15.99 -0.50n S 20
B) 15.99 -0.50n 20
C) 15.99 +0.50ns 20
D) 15.99 +0.50n > 20
Answers
Answer:
D) $15.99 +$0.50n> $20
Step-by-step explanation:
It takes 4 pounds of apples to make 6 cups of applesauce.
Select all the rates that are equvalent to the rate in the statement above.
Group of answer choices
5:7
10:15
6:9
1:2
14:21
8:10
Answers
Answer:
Step-by-step explanation:
4lbs of apples to 6 cups of apple sauce
we can write this as 2:3
the correct choices: 6:9 and 14:21
Solve for x. (photo included)
Answers
The product of 2.5 and a number is 10. First write an equation to describe the situation.
Answers
Answer:
2.5 X z = 10
z stands for the unknown number that is multiplied by 2.5 to equal 10
solve for the missing side: simplify the radical
Answers
Answer:
[tex]x=8\sqrt{5}[/tex]
Step-by-step explanation:
I will assume the following:
You know how to use the quadratic formulaYou know how to simplify radicalsYou know how to use the pythagorean theorem.The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.
Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)
Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.
Now with the big triangle. I will set up one last equation. See attachment 4.
Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.
What is 4.89 + ? = 11.26
Answers
Answer:
The answer is 6.37.
Step-by-step explanation:
Please pick me as brainlest answer
Answer:
6.37
Step-by-step explanation:
11.26 - 4.89 = 6.37
Hope this help ;)
what is the graph of y = x2 + 8x + 4?
Answers
Guys I need this in like 3 mins help
Me
Answers
Answer:
A) M =5
B= $2
hope it helped!
Step-by-step explanation:
I think.
In 10 years time a father will be twice as old as his daughter. 10 years ago he was six times as old as his daughter. How old is each now?
Answers
Answer: the daughter is 15 and the dad is 40
i think unless my math is wrong
Step-by-step explanation:
Cierra spent $3.48 on a dozen donuts. Find the
unit rate. (The cost for ONE donut!)
Answers
Answer:
0.29
Step-by-step explanation:
One dozen = 12
12 donuts for 3.48
3.48/12 = 0.29 per donut
If Mr.Novak gives 9 packs of paper to a group of 5 students. If the group shares the paper equally. How many packs of paper does each student get? Write the answer as a mixed number.
Answers
Each student gets 1 whole pack of paper and 4/5 of a pack.
What is a division in mathematics?
Division is a mathematical operation that is used to determine the number of times one number, called the dividend, is contained within another number, called the divisor. The result of a division operation is called the quotient.
When a group of students share a certain number of items equally, it means that each student will receive the same number of items. To find out how many items each student will receive, we need to divide the total number of items by the number of students.
In this case, Mr. Novak gives 9 packs of paper to a group of 5 students. To find out how many packs of paper each student gets, we need to divide 9 by 5. We can use long division or use a calculator to find that 9 divided by 5 is 1 with a remainder of 4. So, each student will get 1 whole pack of paper, and the remaining 4 packs will be shared among the students. This can be written as a mixed number, which is a combination of a whole number and a fraction. In this case, the mixed number would be 1 4/5.
Hence, each student gets 1 whole pack of paper and 4/5 of a pack.
To learn more about the division in mathematics, visit:
https://brainly.com/question/28119824
#SPJ1
Find the slope and y-intercept of the line represented by the table
Answers
Answer:
slope = 3, y intercept = 1
Step-by-step explanation:
Part B
Write an
equation in the form
y= mx + b for this function.
Answers
You would start at 4 the y intercept and rise 3 and run 1
Solve for W
hhhhhhhhhhhhhhhhhhhhh
w/4 =68
Answers
Answer:
w = 17
Step-by-step explanation:
w / 4 = 68
w = 68 * 4
w = 272
Tell whether the ordered pair is a solution of the system of linear equations.
8x+2y=2
2x+y=15
(1,3)
Answers
Answer:
Step-by-step explanation:
8x + 2y = 2
-4x - 2y = -30
4x = 28
x = 7
14 + y = 15
y = 1
(7, 1)
can somebody help with this no fake answers please im kinda low
In a survey of the students in a class, it was found that 9 students worked during summer holidays. If this represents 25% of the class, how many students are there in the class?
Answers
Step-by-step explanation:
let the total students be x then
25/100x=9
x=9×100/25
x=9×4
x=36
so total students are 36
You have to fill a vase 3/4 full, you have a height of 13in and a radius of 6in how much water would need to be poured in order to fill the vase. Need answer very soon, please
Answers
Answer:
Step-by-step explanation:
At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase? Follow • ... Get the right answer, fast. ... No packages or subscriptions, pay only for the time you need.
If y varies directly with x, and y = 72 when x = -8, what is y when x = -6
Answers
Answer:
y=72
Step-by-step explanation:
the step by step is in the attachment above
Natalie bought a 3 pack of erasers for $1.47. At the same rate, how much would a 10- pack of erasers cost?
Answers
Answer:
A pack of ten would cost $4.90
Hope this helps.
Mrs. Rogers sold 48 out of 80 crafts at the fair. What percent of her crafts did she sell? ~Plz answer like ASAP!!thank you :)) ~
Answers
Answer:
38.4
38.4 is 48% of 80
Step-by-step explanation:
What is 48% of 80?
Y is 48% of 80
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 48% * 80
Converting percent to decimal:
p = 48%/100 = 0.48
Y = 0.48 * 80
Y = 38.4
The perimeter of a square is 48 cm.
What is the length of the diagonal?
Answers
Answer:
The answers is the following d≈16.97cm
Step-by-step explanation: