The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The given data in the problem is;
[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485
r is the radius = 18.4 m
The area of a sector of a circle is found as;
[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]
Hence the area of the sector of the circle will be 759.34 m².
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which expression shows 48+36 written as a protuct of two factors
Answer:
12(4+3)
Step-by-step explanation:
Factor out all of the problems.
Starting with 4(12+4)
This means (4*12)+(4*4)
48+16 is the answer to this
this isn't 48 + 36
12(4+3) is next
12*4 = 48
12*3 = 36
48+36 = 48 + 36
Therefore 12(4+3) is your answer
hope that helps!
hope this is what your looking for
A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or
triple this value. A sector is shown below. Find the areas of the entire sector, the double region, and the triple region. Round
your answers to the nearest hundredth.
in
triple
double
The area of the entire sector is about
square inches.
The area of the double region is about
square inches.
square inches.
The area of the triple region is about
The area of each sector is the amount of space on the sector
The area of the entire region is 6.89The area of the double region is 0.75The area of the triple region is 0.46The area of the entire sectorThe area of a sector is calculated as:
A = (1/2) × r^2θ
For the entire sector, we have:
θ = π/10
r = 6.625
So, we have:
A = (1/2) × 6.625^2 × π/10
Evaluate the product
A = 6.89
The area of the double regionFor the double region, we have:
θ = π/10
r = 6.25
So, we have:
A = Complete sector - (1/2) × r^2θ
A = 6.89 - (1/2) × 6.25^2 × π/10
Evaluate the difference
A = 0.75
The area of the triple regionFor the triple region, we have:
θ = π/10
R = 4.125
r = 3.75
So, we have:
A = (1/2) × R^2θ - (1/2) × r^2θ
A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10
Evaluate the difference
A = 0.46
Hence, the area of the triple region is 0.46
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A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?
Based on the discount rate and the sales tax, the original price of the computer was $750.
What was the original price?First find the price before tax. This can be found as:
= Computer price / (1 + tax)
= 688.50 / (1 + 8%)
= $637.50
Then find the price without the discount as:
= Price without tax / (1 - discount rate)
= 637.50 / (1 - 15%)
= $750
Find out more on discounts at https://brainly.com/question/1548141.
Expand 3(2x-7) - 2(3x+5)
Answer:
-31
Step-by-step explanation:
Expand 3(2x-7) - 2(3x+5)
Distribute:
3(2x-7)
6x - 21
-2(3x+5)
-6x - 10
Add:
6x - 21
- 6x - 10
- 31
Hope this helps!
Answer:
[tex]\boxed{\sf{-31}}[/tex]
Step-by-step explanation:
If you want to solve this, you must expand by a distributive property.
Distributive property:
A(B+C)=AB+AC3(2x-7)-2(3x+5)
3(2x-7)
3*2=6
3*7=21
Rewrite the problem.
6x-21
6x-21-2(3x+5)
-2(3x+5)
-2*3=-6
-2*5=10
-6x-10
Rewrite the problem down.
6x-21-6x-10
Combine like terms.
6x-6x-21-10
Add similar into their elements.
6x-6x=0
-21-10
Solve.
Subtract the numbers from left to right.
-21-10=-31
-31
Therefore, the correct answer is -31.I hope this helps you! Let me know if my answer is wrong or not.
Which value is equivalent to the expression 3^2 × 3^3?
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243
What is the estimated sum of 709 645 798 704 and 658?
Answer:
about 3600
Step-by-step explanation:
Explain why the fractions in question number 2 are equivalent?
Answer:
its 2/6ths its only multiplied by 2
Step-by-step explanation:
ASAPPPPP!!!!!!!!!!!!!!
Answer:
297 [tex]cm^{2}[/tex]
Step-by-step explanation:
area of triangle x 4 + area of rectangle
[tex]\frac{1}{2}[/tex] x 12 x 9 x 4+ 9 x 9
Solve and show the answer in simplest terms 1 over 8 + 1 over 2 + 1 over 4
Answer:
7 over 8
Step-by-step explanation:
Change all the numerators over the least common denominator. 1+4+2 over 8.
A collector has 210 magazines and 300 books. She wants to maintain
this ratio in her collection but she needs to sell some of her items. If
she sells 21 magazines, how many total items should she sell from
her collection?
Answer:
51 total items
Step-by-step explanation:
210 Magazine : 300 Books
21 Magazine : 30 Books
If She wants to sell 21 magazines, she would have to sell another 30 books in order to maintain the ratio.
21 + 30 = 51
3 shapes are combined to form a composite figure. a semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle. how can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle
Answer:
(d) as a triangle, a rectangle, and a semicircle
Step-by-step explanation:
The description of the shape tells you how to decompose it. The shape is described as a semicircle, a rectangle, and a triangle. The appropriate decomposition is ...
as a triangle, a rectangle, and a semicircle
Answer:
d
Step-by-step explanation:
y = 4
2x + y = 14
solve using substitution
Help me plssss someone I've been stuck on this question for a while now ;(
Answer:
4000 meters
Step-by-step explanation:
Shortest run was 5 laps (2000 meters), and longest was 15 (6,000 meters)
He asked the class to write a number that is greater than R, and less than S.
Which choice is correct?
0.30
0.45
0.70
0.75
number greater than R and less than S is 0,45
Answer:
0.45
Step-by-step explanation:
R = .34
S = .66
.30 is less than R and less than S
.70 is greater than R and greater than S
.75 is greater than R and greater than S
.45 is the only one that is greater than R and less than S
Hope this helped <3 brainliest please :)
how many solutions does 8B + 7v - 5 equals -11 + 15b
Answer: No solutions
- by graphing-
First I will simplify:
8B + 7v - 5 equals -11 + 15b
8b + 7v - 5 = -11 + 15b
7v = -6 + 15b
7v = -6 + 7b
Let's graph this and see what happens!
-> I will graph y = 7x and y = 7x - 6
-> See attached.
-> Since there are no points of intersection (they have the same slope), there is no solutions.
HELP What is the surface area of the square pyramid?
Step-by-step explanation:
AnswerA = a²+2aUnderoute of a²by 4+ha) a = base edge
b) h = height
pls vote me as a branliestKate has five sandwiches to share with three of her friends. If each person gets the same amount of sandwich, how much will each person get?
Answer: Each person gets 1 1/4 of a sandwich.
Step-by-step explanation: Kate is sharing five sandwiches, and there are three friends with her too. Each person gets a sandwich, but you have to cut the last one three times to make fourths for everyone. So, each person gets 1 and 1/4 of a sandwich.
Hope this helps! :)
If each person gets the same amount of sandwich then each person get
is 5/3.
What is Fraction?
The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.
We have,
Total sandwiches = 5
Total number of people = 3
Now, we have to equally divide 5 sandwiches among 3 Friends.
So, Each person get
= 1 full sandwich and 2/3 part
= 1 2/3 parts
= 5/3
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I don’t understand this
7 yd 2 ft =_____ft
Answer:
23 ft
Step-by-step explanation:
What does the 6 in 2/6 mean?
Hey there!
Here we have a fraction
2/6.
The 2 is the numerator, and 6 is the denominator.
How to remember where the numerator and the denominator is?
Well, please remember the following:
The Denominator is Down
Hence, 6 is the denominator of this fraction.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
What decimal is equivalent to 85/99?
0.76
0.767676...
0.85
0.858585...
Answer:
The repeating decimal is 85/99 = 0.858585...
Step-by-step explanation:
A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator. For example, this is how we get 0.75 = 3/4: (first screenshot)
Now let's divide 85.0000... by 99. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. (second screenshot) Since the number 850 repeats itself, this is a repeating decimal.
Divide 2.875 x 106 by 2.3 x 103.
Answer:
1.25 x 10^3
Step-by-step explanation:
i took the test
i need help fast pls
Answer:
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I'd like someone to help me, please!
Julie has 9 rings in her jewelry box. Five are gold and four are silver. If she randomly
selects 3 rings to wear, find each probability:
a) P(exactly 2 silver)
b) P(at least 2 gold)
c) P(all 3 gold or all 3 silver)
d) P(at least 1 silver)
Jen bought a cinnamon bun for $3. 42 and a giant candy cane for $5. 76. She then used the rest of her money to buy a notebook. She spent a total of $12. 83. How much money did Jen spend on the notebook? (5 points)
$9. 41
$7. 07
$3. 65
$2. 34
Answer:
She spent $3.65 on the notebook
Step-by-step explanation:
5.76 + 3.42 = $9.18
12.83 - 9.18 = $3.65
Work out the value of x
2x
7x
this is a Co-intirior angle
Step-by-step explanation:
The sum of co-interior angle = 180°
Now,
2x + 7x = 180°
9x = 180°
x = 180° ÷ 9
x = 20°
Answer:
x = 20
Step-by-step explanation:
Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.
Same-side interior angles theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).
Therefore, if 2x and 7x are co-interior:
⇒ 2x + 7x = 180
⇒ 9x = 180
⇒ x = 20
Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°
Answer:
A
Step-by-step explanation:
80 degree becaue a triangle = 180 degress
180 - 100 = 80
Compare to 0:
-x^2 + 10x - 25
Answer:
x = 5
Step-by-step explanation:
-x² + 10x - 25 = 0
x = {-10±√((10²)-(4*-1*-25) / (2*-1)
x = {-10±√(100-100)} / -2
x = {-10)/-2
x = 5
Comprobación:
- (5²) + 10*5 - 25 = 0
-25 + 50 - 25 = 0
Sylvie bakes 4 trays of muffins. Each tray contains 8 muffins. She gives away 12 muffins to friends.
Let m represent the number of muffins Sylvie has left.
Which equation could be used to find the value of m?
4+8−12=m
4 + 8 + 12 = m
4 × 8 + 12 = m
4×8−12=m
Answer:
4x8-12=m
Step-by-step explanation:
4 trays x each containing 8 muffins - 12 muffins(giving away)
What is one sixth of 2.00
Do I subtract the fractions or divide or do something else with them please help
Answer:
7/6
Step-by-step explanation:
in order to find the answer you have to -5/6 by 1/3 and then you get 7/6 so technically you have to minus it