Answers
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
__
Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
Related Questions
If triangle LMN is similar to triangle XYZ, then side LN corresponds to side
Answers
Answer:
The side it corresponds to is XZ
PLS HELP BRAINLIEST !!!! BE SERIOUS PLS
dont want to report anyone :((
Answers
I say the answer would be No because the triangles are not the same Width, length or height..
I need help please help me
Answers
Answer:
8×3x - 8×y
Step-by-step explanation:
24x-8y this is the answer
In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.
Answers
Answer:
276 meters in the first 2 hours
Step-by-step explanation:
Given that,
Professional climbers climb 828 meters in 6 hours.
Let us assume we need to find how far did they climb in the first 2 hours.
6 hours = 828 m
⇒ 1 hour = 138 m
So, in 2 hours,
2 hours = 138 × 2 m
= 276 m
So, the climber climb 276 meters in the first 2 hours
What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)
Answers
Please help due in 5 minutes !
Answers
Amanda bought tickets for a concert for $218. Jamie bought tickets to the same concert but paid 14% less than Amanda. What were the price of Jamie's tickets?
Answers
Answer:
Jamie's tickets = $187.48
Step-by-step explanation:
The amount for which Amanda bought tickets = $218
Jamie bought tickets to the same concert but paid 14% less than Amanda.
Jamie's tickets = [tex]218-14\%\ of\ 218[/tex]
We can solve it as follows :
[tex]218-14\%\ of\ 218=218-\dfrac{14}{100}\times 218\\\\=218-30.52\\\\=\$187.48[/tex]
So, the price of Jamie's tickets is $187.48.
Whats the answer to this i can't figure it out can someone help.
Answers
Answer:
D!
Step-by-step explanation:
TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!
find the distance round to the nearest tenth (-8, -6) (-3,-2)
Answers
Answer:
[tex]\displaystyle d \approx 6.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-8, -6)
Point (-3, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 6.40312[/tex]Round: [tex]\displaystyle d \approx 6.4[/tex]Answer:
6.4
Step-by-step explanation:
d=√((−3−(−8))^2+(−2−(−6))^2)
d=√((5)^2+(4)^2)
d=√(25+16)
d=√(41)
d=6.403124
d=6.4
Points a and b both on line y=3x+7 work out the missing y coordinate for a and the missing x coordinate for b
Answers
Answer:
Missing [tex]y[/tex] coordinate for [tex]a[/tex] is [tex]3x+7[/tex]
Missing [tex]x[/tex] coordinate for [tex]b[/tex] is [tex]\frac{b-7}{3}[/tex]
Step-by-step explanation:
Given: Equation of a line is [tex]y=3x+7[/tex]
To find: missing [tex]y[/tex] coordinate for [tex]a[/tex] and the missing [tex]x[/tex] coordinate for [tex]b[/tex]
Solution:
First find missing [tex]y[/tex] coordinate for [tex]a[/tex]
Put [tex]x=a[/tex] in [tex]y=3x+7[/tex]
[tex]y=3(a)+7=3a+7[/tex]
Now find the missing [tex]x[/tex] coordinate for [tex]b[/tex]
Put [tex]y=b[/tex] in [tex]y=3x+7[/tex]
[tex]b=3x+7\\3x=b-7\\\\x=\frac{b-7}{3}[/tex]
Which of the following occurs within the solution process for sqrt 3(5x-2)- sqrt 3 (4x) = 0 asquaring both sides once
squaring both sides twice
cubing both sides once
cubing both sides twice
Answers
Answer:
C
Step-by-step explanation:
cubing both sides once
Answer:
C is correct
Step-by-step explanation:
Jus did it on EDGE!!!!
[tex]\frac{2y+1}{3}[/tex]=[tex]\frac{y-2}{4}[/tex]
Answers
7th grade and 30 points
i have to show work
Answers
Answer:
Step-by-step explanation:
amount of discount = $10
percentage discount = $10/$39.99 ≅ 0.25 = 25%
amount of sales tax = $1.95
sales tax rate = $1.95/$29.99 ≅ 0.065 = 6.5%
cost of jeans × 1.60 = $39.99
cost of jeans = $39.99/1.60 ≅ $24.99
discounted selling price = $29.99
markup = $29.99/$24.99 ≅ 1.20 = 20%
Will GIVE BRAINLIEST
A ganza is a percussion instrument used in samba music.
a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.
Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?
The weight of the larger ganza is about
pounds.
Answers
Answer:
1036.2 sq. cm
Step-by-step explanation:
The surface area of the smaller ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10
surface area = 76.93+ 219.8
surface area = 296.73 sq. cm
The surface area of the larger ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5
surface area = 189.97+846.23
surface area = 1036.2 sq. cm
a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]
The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]
b. The weight of the larger ganza is [tex]3.84[/tex] pounds.
Surface area :From given figure,
Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]
height of smaller ganza, [tex]h_{1}=10cm[/tex]
a. The surface area of the smaller ganza is,
[tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]
[tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]
The surface area of the larger ganza
[tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]
[tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]
b. Since, the surface area is proportional to the weight.
and The weight of the smaller ganza is 1.1 pounds.
[tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]
Learn more about the surface area here:
https://brainly.com/question/16997207
One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?
Answers
Answer:
fesgqwa
Step-by-step explanation:
Answer:
254 cm
Step-by-step explanation:
multiply the 100 by the 2.54
A class used cars and vans to go on a field trip because all of the buses were already in use. They Used 10 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 82 students went on the trip, then how many of each type of vehicle did the class use?
Answers
Answer:
4 vans, 6 cars
Step-by-step explanation:
On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m
Answers
Answer:
1.6cm
Step-by-step explanation:
1cm=4m
=6.5m
6.5÷4=1.625 round it off to the nearest tenths=1.6
Find C. Leave your answer in simplified radical form.
Answers
9514 1404 393
Answer:
7√2
Step-by-step explanation:
The triangle is a "special triangle", an isosceles right triangle. The side lengths of this triangle have the ratios 1 : 1 : √2. Multiplying these ratio values by 7, the length of the leg, you find ...
c = 7×√2
c = 7√2
_____
If you like, you can go through the Pythagorean theorem and/or trigonometry to find the same thing.
7/c = sin(45°)
c = 7/sin(45°) = 7/(1/√2) = 7√2
Or ...
c² = 7² + 7² = 98 . . . . using the Pythagorean theorem*
c = √98 = 7√2
__
* This requires you recognize the triangle is isosceles, so the other leg is also 7. Of course, you know that as soon as you see a 45° acute angle in a right triangle.
ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?
Answers
Answer:
1. 200
2. 78
3. 50%
4. 20%
5. 14.52
6. 72
7. 30
8. 27
9. 50%
10. 20%
I hope this helps:D
plz help fast i have to find the surface area of a 3d shape
Answers
label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible
Step-by-step explanation:
Hi, could someone help me with these two questions please? Thank you!
Answers
8 is option A
Which one is the correct answer please please.
Answers
Answer:
option 1
plz mark as brainiest
Step-by-step explanation:
Answer:
1/2 (option 1)
Step-by-step explanation:
the equation is in y=mx+b form (slope-intercept form)
y: y-axis
m: slope
x: variable
b: y-intercept
help I will give brainiest it will mean alot. find the scale factor
Answers
Answer:
Step-by-step explanation:
16:1
What is the equation of a circle with a radius of 7 and centered at point (3, -4)? please help fast!
Answers
Answer:
Vertex (3, –4) r = 7
Step-by-step explanation:
[tex](x -3)^{2} + (y+4)^{2} = 49[/tex]
what is the answer for this question ?:A set of multiples of 5 less than 30
Answers
Answer:
A = {5,10,15,20,25}
Step-by-step explanation:
Write an inequality to represent a number is at most two".
Answers
Answer:
Step-by-step explanation:
X<= 2
Which is x is less than or equal to 2.
Answer:
[tex]n\leq 2[/tex]
Step-by-step explanation:
Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.
Answers
Answer: I think that the sandwich is $4.25 (I'm not sure)
Answer:
s=4.25
Step-by-step explanation:
look at the screenshot for the steps! :)
Someone please help me?
Answers
Answer:
Option 2 (open circle at 6 with arrow going to the right.
Step-by-step explanation:
Open circle means "excluding that number". Since x>6, x cannot be 6 so we have an open circle at 6. x>6 also means x has to be greater than 6, so we have the arrow going to the right since 7 is greater than 6, 8 is greater than 6, and so on so forth.
Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system
Answers
Answer:
consistent
Step-by-step explanation:
Tell whether the equation has one, zero, or infinitely many solutions.9(x − 3) + 15 = 9x − 11.
Answers
Answer:
Zero solutions; there are no variables and thus there are no solutions
Step-by-step explanation:
We start out with the equation 9 (x - 3) + 15 = 9x - 11
Which simplifies to 9x - 27 + 15 = 9x - 11
The 9x terms cancel each other out, and we're left with 15 - 27 = -11
And we end up with -12 = -11, which is not true.
This tells us that the equation has zero solutions, because no matter what value we substitute for x, the equation will not be true.
Answer:
No solution
Step-by-step explanation:
9(x-3)+15= 9x-11
9x-27+15=9x-11
-15 on both sides
9x-27=9x-26
add 26 on both sides
9x -1=9x
add 1 on both sides
9x=9x+1
divide 9 on both sides
x=x+1/9
No solution