Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the sector, its area and the angle at the center are not given.
I will solve this using the following illusration
The area of a sector is:
[tex]Area= \frac{\theta}{360} * \pi r^2[/tex]
Assume that:
[tex]\theta = 120[/tex]
[tex]Area = 20[/tex]
The equation becomes
[tex]20= \frac{120}{360} * \pi r^2[/tex]
Simplify
[tex]20= \frac{1}{3} * \pi r^2[/tex]
Take: [tex]\pi = 3.14[/tex]
[tex]20= \frac{1}{3} *3.14* r^2[/tex]
Cross Multiply
[tex]3.14 * r^2 = 20 * 3\\[/tex]
Solve for [tex]r^2[/tex]
[tex]r^2 = \frac{20 * 3}{3.14}[/tex]
[tex]r^2 = 19.11[/tex]
Take square roots
[tex]r = \sqrt{19.11[/tex]
[tex]r = 4.4[/tex]
The radius of the sector of a circle whose area is 20 square units and angle subtends at the center of 120° is 4.4 units.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The angle subtends at the center is 120 degrees.
The area of the circle is 20 units.
We know that the area of a circle is given as
[tex]\rm Area = \dfrac{\theta }{360} \pi r^2[/tex]
Then we have the radius of the sector will be
[tex]\rm r = \sqrt{\dfrac{360*20}{120*\pi}}\\\\\\r = 4.37 \approx 4.4[/tex]
The radius of the sector is 4.4 units.
More about the circle link is given below.
https://brainly.com/question/11833983
A.CED.1/A.REI.4 Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x.
help me
Answer:
Width of the rug = x feet
Length of the rug = (x + 4) feet
Step-by-step explanation:
Let
Width of the rug = x feet
The rug is 4 feet longer than it is wide.
Length of the rug = (x + 4) feet
For instance, to find the area of the rug
Area of a rectangular rug = length × width
= (x + 4) * x
= x² + 4x
Area of a rectangular rug = x² + 4x
To find the perimeter of the rug
Perimeter of the rectangular rug = 2(length + width)
= 2{(x + 4) + x}
= 2(x + 4 + x)
= 2(2x + 4)
= 4x + 8
Perimeter of the rectangular rug = 4x + 8
how many millimeters equal 1942 cm^3
Answer:
multiply the volume value by 1000
Step-by-step explanation:
¯\_(ツ)_/¯ᵐᵃʸᵇᵉe
Answer:
1942 cubic centimeter
1942000 cubic millimeter
Nevaeh invested $1,200 in an account paying an interest rate of 2⅞ % compounded quarterly. Paisley invested $1,200 in an account paying an interest rate of 2⅝ % compounded continuously. To the nearest dollar, how much money would Nevaeh have in her account when Paisley's money has tripled in value?
Answer:
[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]
choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)
Answer:
ACEStep-by-step explanation:
✓ A. (0, 0) [y < 3x + 2 → 0 < 2]
× B. (0, 2) [y < 3x + 2 → 2 < 2]
✓ C. (1, 4) [y < 3x + 2 → 4 < 5]
× D. (1, 7) [y < 3x + 2 → 7 < 5]
✓ E. (2, 6) [y < 3x + 2 → 6 < 8]
× F. (2, 8) [y < 3x + 2 → 8 < 8]
What is the volume of this figure? Round to the nearest tenth if necessary.
14 m
24 m
7 m
25 m
Answer:
V = 392 m³
Step-by-step explanation:
Volume rectangular prism
V = (1/3)AH
H is the height of the prism
A is the area of the base triangle
A = (1/2)bh
A = (1/2)(7)(24)
A = 84
V = (1/3)(84)(14)
V = 392 m³
i need answer. Please help me.
I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though
What is the shape of the cross section of the triangular prism in each situation? Drag and drop the answer into the box to match each situation.
Answer:
immma send you the link friend me on here
Step-by-step explanation:
Help plzzzz I need the correct answers ASAP and that's my last marking period 4 and I'm in grade 12th
It's homework: Comprehension Questions - 3.1 Credit Basics:
Question 10: it's part 1 multiple choice questions and Part II: Analyze: Understanding Amortization
Janet just graduated from college, has a job she’s scheduled to begin in 3 months, and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she’s thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years, so she uses a Bankrate.com loan calculator and gets the following amortization schedule:
4) How many months does it take Janet to pay off her loan?
5) What is the total amount of interest Janet will pay at the end of the loan?
Answer:
try c
Step-by-step explanation:
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answer:
Step-by-step explanation:
SSS po (side-side-side)
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
k heres the actual question
Answer:
It's most likely spposed to be 22
Step-by-step explanation:
Answer: 91.65
Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6
Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.
Let me know if this was correct!
Which of the following is an example of replication?
A. Assigning test subjects to test groups arbitrarily
B. Studying the effects of both therapy and no therapy on students
C. Performing five different studies of the same drug
D. Testing patients by giving them either a new drug or no drug
Answer:
Step-by-step explanation:
Robert paid $41.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents? Type in your answer without the '$' sign.
Answer:
10.25
Step-by-step explanation:
hope this helps with the problem
The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as a table or chart that shows the required data is not given.
To answer this, I will make use of the following frequency table
[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]
From the above table.
[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]
[tex]3\ miles \to 5\ students[/tex]
So:
[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]
[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]
From the above table.
[tex]1\ miles \to 10\ students[/tex]
[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]
So:
[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]
[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]
The difference (d) is then calculated by subtracting the number of students in both categories
[tex]d = 15\ students - 10\ students[/tex]
[tex]d = 5\ students[/tex]
Pleaseeeee helppppppppppppppp
Answer:
B
Step-by-step explanation:
a biconditional is if and only if
a person's heart beats approximately 10^5 times each day. a person lives approximately 81 years. Work out an estimate for the number of times a person's heart beats in their lifetime
Answer:
29565x(10^5)
Step-by-step explanation:
heartbeat in 1 day=10^5.
we have 365 days in a year. it means that;
365x(10^5)=365x(10^5). this is heartbeat for 1 year.
then for 81 years,we multiply the value of 1 year heartbeat by 81.
=29565x(10^5).
Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
A function is a relation where each input value is assigned to only one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
Which A, B, & C are wrong. So D, is the one that makes the most sense.
Plz help ASAPPPPP :(
No Links Or Files
Answer:
the anwser is H
Step-by-step explanation:
frist x^2=16 it means the radical of 16 is xthe radical of 16 is《 4》
♧x^3 it means 4^3=64
the radical of 4 is 2
then 64+2=66–3(c – 1) = 33
please help me
Answer:
c = -10
Step-by-step explanation:
Divide both sides by -3
simplify
c - 1 = -11
add 1 to both sides
c - 1 + 1 = -11 + 1
simplify
c = -10
Which alternative is the NEGATIVE reciprocal of -1/8?*
A-8
B. -1/8
C. 1/8
D. 8
Answer:
Reciprocal simply means... swap the denominator for the Numerator...
Now negative Reciprocal now means... Swap the denominator by the numerator and Multiply by -1
So
1/-8 becomes
-(-8/1)
=8.
Option D
Part A A
Select the number that is greater
15x15x15 or
13x13x13
Help!
Answer:
15x15x15
Step-by-step explanation:
13x13x13= 2197
15x15x15= 3375
What are the measures of ∠1 and ∠2?
Answer:
Angle 1 = 102
Angle 2 = 40.9
Step-by-step explanation:
[tex]1)\ 180 - 121.8 = 58.2[/tex]
[tex]2)\ angle\ 2 = 58.2 - 17.3 = 40.9[/tex]
[tex]3)\ angle\ 1 = 180 - 40.9 - 37.1 = 102[/tex]
Answer:
m∠1 = 67.4° m∠2 = 104.5°
Step-by-step explanation:
17.3 + m∠2 = 121.8
m∠2 = 104.5°
m∠1 + 37.1 = m∠2 = 104.5
m∠1 = 67.4°
Show all work. 5. Find the surface area of the composite figure.
Answer:
4130 m²Step-by-step explanation:
[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]
In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
15 points, Trigonometric ratios. Please write your answers as it says on the mandate, Thanks!
Step-by-step explanation:
sec X = WX/XY = 37/12 = 3 1/12
or 3.083
What is the slope of a line through (-2,5) and (4,6)?
Answer:
1/6
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 5 / 4 - (-2)
1 / 6
1/6
Give me anime recommendations, hope you had a good day!
Answer:
I just started watching My Hero Academia recently, and I'm already on season four! I love it, you should check it out if you haven't already!
Answer:
cowboy bebop
Step-by-step explanation:
A pattern of ordered pairs is shown below.
(1,3), (3, 6), (5, 12), (7, 24)
If this pattern continues, what is the sixth ordered pair in the pattern?
please answer this fast
Answer:
(9,48)
Step-by-step explanation:
The x's are being added by 2, while the y's are being multiplied by 2.
In Stacia's town, 60% of registered people vote
regularly. A spinner with equal-sized sections
numbered 0 to 9 can be used to represent those
who do and
do not vote.
a. What numbers can be assigned to represent
those who do vote and those who do not vote?
Answer:
6 Voted , 4 Not Voted
Step-by-step explanation:
10 sections, so 0.60 * 10 = 6 sections Voted
0.40 * 10 = 4 sections not Voted
anyone know this equation ????
Answer:
c (-2,1)
Step-by-step explanation:
use y= and substitute into 2nd equation which will give you x. Then take x value and substitute into first equation which will give you y value and theres your answer