Given:
Radius of the circle = 4 meters
Measure of arc = 135 degrees
To find:
The area of the sector bounded by the given arc.
Solution:
Formula for area of a sector is:
[tex]A=\pi r^2\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta[/tex] is the central angle or measure of intercepted arc.
Putting [tex]r=4,\ \theta =135^\circ[/tex] in the above formula, we get
[tex]A=\pi \times (4)^2\times \dfrac{135^\circ}{360^\circ}[/tex]
[tex]A=\pi \times 16\times \dfrac{3}{8}[/tex]
[tex]A=\pi \times 2\times 3[/tex]
[tex]A=6\pi [/tex]
Therefore, the exact area of the given sector is [tex]6\pi [/tex] square meters.
Answer:
the answer is just 6π
Step-by-step explanation:
(5p-6pq+2q) (2p2+372)expand.
Answer:
(7p_6pq+) 2p2+ 372 =11p_6pq+372
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
110
Step-by-step explanation:
Multiply 2*6 to get 12 then 7*14 to het 98 add those together and you get 110
Can someone simplify? I'm confused-
If f(x) = 5x – 2,
find f(3)
f(3) = 13
find f(-4)
|(-4) =
Enter your next step here!
Answer:
Step-by-step explanation:
f(x)=5x-2
f(3)=5*3-2
=15-2
=13
f(-4)=5*-4-2
=-20-2
=-22
Answer:
the answer is -22
Step-by-step explanation:
5*(-4)-2
= -22
ILL MARK AS BRAINLESS PLS HELP
Answer:
95-3^4=14
Step-by-step explanation:
3^4=81
95-81=14
Part A: 176
Part B: First, I did is multiple 3 to the common denominator by 4 times with the same number and that would give you a positive number of 81, then I combined 81 with 95 and your solution is 176.
Step-by-step explanation:
Part A:
-3^4 = -3x-3x-3x-3
-3^4 = 81
95+81 = 176
What is the range of 149 111 171 166 152 129 162 144
Um terreno retangular possui o comprimento cinco vezes maior que a largura. Sabendo que o perímetro desse terreno é igual a 180 metros, a largura e o comprimento medem, respectivamente: * 30 m e 150 m 75 m e 15 m 15 m e 75 m 150 m e 30 m 90 m e 90 m
Responder:
15 m e 75 m
Explicação passo a passo:
Deixar :
Largura = x
Comprimento = 5x
Perímetro = 180
Já o terreno tem uma forma retangular; usamos a relação;
Perímetro = 2 (comprimento + largura)
180 = 2 (5x + x)
180 = 2 (6x)
180 = 12x
180/12 = x
15 = x
Largura = x = 15 metros
Comprimento = 5x = 15 * 5 = 75 metros
Medida de largura e comprimento, respectivamente:
15 m e 75 m
find the value of a and b in x^2+2x=13
Answer:
a =1 and b =2
Step-by-step explanation:
The standard quadratic is written in the form
ax^2 +bx+c =0
x^2 +2x -13 =0
a =1 and b =2
Of the first fifteen kindergartners, four of them select treat bags containing bubbles, and eleven of them select treat bags containing sidewalk chalk.
The next kindergartner in line is ____ to select a treat bag containing bubbles than of sidewalk chalk
Equally likely
Less likely
More likely
30°
Noah is trying to draw a triangle with a angle and side lengths
of 4 cm and 6 cm.
.
He uses his ruler to draw a 4 cm line segment.
30°
• He uses his protractor to draw a angle on one end of the line
segment.
ANSWER BOTH QUESTIONS ILL GIVE BRANLIEST AND LOTS OF POINTS .
Noah could draw a triangle with side lengths 4 cm, 6 cm, and approximately 10.39 cm, with angles of 30°, 30°, and 120°.
How to solveYes, there is a different triangle Noah could draw. Since Noah has only drawn one side and one angle, he can create two different triangles using the Angle-Side-Side (A S. S) ambiguity
To find the other possible triangle, we need to calculate the angle opposite the 6 cm side. In this case, the given angle is 30°. Using the sine rule, we can find the sine of the opposite angle (let's call it θ):
sin(θ) / 6 = sin(30°) / 4
sin(θ) = (6 * sin(30°)) / 4
sin(θ) ≈ 0.5
θ ≈ 30°
Since the sum of angles in a triangle is 180°, the other angle in the triangle is:
180° - 30° - 30° = 120°
Now, we can use the sine rule again to find the length of the side opposite this new angle:
x / sin(120°) = 6 / sin(30°)
x ≈ 6 * sin(120°) / sin(30°)
x ≈ 10.39 cm
Therefore, Noah could draw a triangle with side lengths 4 cm, 6 cm, and approximately 10.39 cm, with angles of 30°, 30°, and 120°.
Read more about geometry here:
https://brainly.com/question/19241268
#SPJ1
use the least common denominator to enter an equivalent fraction for each fraction
1/2,1/7
The least common denominator of the fraction is __
1/2=
1/7=
help please due in 20 mins
Answer:
The least common denominator of the fraction is 14
1/2= 7/14
1/7= 2/14
The graph below represents which system of inequalities?
Answer:
Graphing Systems of Linear Inequalities
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. ...
If the inequality is strict ( < or > ), graph a dashed line. ...
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not.
Sabe-se que o preço a ser pago por uma corrida de táxi inclui uma parcela fixa, que
é denominada bandeirada, e uma parcela variável, que é função da distância percorrida. Se o preço
da bandeirada é R$4,60 e o quilômetro rodado é R$0,96, calcule a distância percorrida por um
passageiro que pagou R$19,00 para ir de sua casa ao shopping. me ajudem por favor.
Answer:
Acho que talvez 200 $ Não tenho certeza, mas espero que ajude
Step-by-step explanation:
Help what is the equation
Answer:
y=-5x
Step-by-step explanation:
take two points, I took 0,4 and 1-,1 and do
y2-y1 over x2-x1
The graph shows the cost of pizzas, including delivery, at a local pizza restaurant.
What is the cost of 4 pizzas, including delivery?
a.
$35.00
b.
$40.00
c.
$45.00
d.
$30.00
9514 1404 393
Answer:
d. $30.00
Step-by-step explanation:
Read the value from the graph. The cost for 4 pizzas delivered is $30.00.
The local muffler replacement shop charges $75 for parts and $25 per hour for labor. Write a expresstion with parentheses to describe the cost, in dollars, of a replacement if the job takes 4 hours.
Answer:
Step-by-step explanation:
75+ 25x
75+25(4)
75+100
175
Dan earns £8.50 per hour. how much will he learn for 8 hours work?
Answer:
68
Step-by-step explanation:
Write the equivalent percent for each fraction.
72
%
41,000
%
1025
%
38
%
72%=18/25
41000%=410/1
1025%=41/4
38%=19/50
Answer:
72% = 18/25
41000 = 410/1
1025 = 41/4
38 = 19/50
Step-by-step explanation:
I put into the calculator...if that makes sense
Question 3(Multiple Choice Worth 2 points)
(07.02 LC)
What is the missing numerator?
two over three plus blank over six equals one and one sixth
3
5
6
9
Answer:
The answer is 3 for the above question
How did I get this????
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
The two populations will be the same after
years.
Answer:
3 years
Step-by-step explanation:
Let y = number of orangutans, and let x = number of years.
For each study, the population, y, after x years is:
First study:
y = 784 - 25x
Second study:
y = 817 - 36x
We set the populations equal and solve for x, the number of years.
784 - 25x = 817 - 36x
Add 36x to both sides. Subtract 784 from both sides.
11x = 33
Divide both sides by 11.
x = 3
Answer: 3 years
Find the center and the radius of the circle given this equation:
2
x + 4x + y ² -10y +20=0
Answer:
vertex: (5/6,5)
focus: (- 2/3, 5)
axis of symmetry: y = 5
directrix: x = 7/3
Step-by-step explanation:
use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix
The cost of 6 pounds
of coffee is $3.
Answer:
ok 2 pound per 1 doller and 1 pund per0.50 cent
Step-by-step explanation:
You are planning to work in the summer (13 weeks). You
are deciding between working as a lifeguard or a camp counselor. The lifeguard job
pays $12 per hour and a $500 signing bonus. The camp counselor job pays $15 per
hour with no signing bonus.
Answer:
(a) Equations for both
[tex]y = 500 + 12x[/tex] --- lifeguard
[tex]y = 15x[/tex] --- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
[tex]x \to hours[/tex]
[tex]y \to total\ pay[/tex]
Given
Lifeguard job
[tex]Signing\ bonus = \$500[/tex]
[tex]Rate = \$12/hr[/tex]
Camp counselor job
[tex]Signing\ bonus =\$0[/tex]
[tex]Rate = \$15/hr[/tex]
Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard
[tex]y = 500 + 12*x[/tex]
[tex]y = 500 + 12x[/tex]
Camp counselor
[tex]y = 0 + 15 * x[/tex]
[tex]y = 15x[/tex]
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
[tex]x = 5hrs/day * 5days[/tex]
[tex]x = 25hrs[/tex]
So, the pay for each is:
[tex]y = 500 + 12x[/tex]
[tex]y =500 + 12*25[/tex]
[tex]y =800[/tex] --- Lifeguard
[tex]y = 15x[/tex]
[tex]y = 15 * 25[/tex]
[tex]y = 375[/tex] --- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
[tex]800 > 375[/tex]
Hence, lifeguard job pays more
Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?
a
\large y=3x
b
\large y=3+x
c
\large x=3y
d
\large x=y+3
what is the slope of (8,4), (4,4)?
Answer:
0
Step-by-step explanation:
We have two points, so we can use the slope formula
m = ( y2-y1)/(x2-x1)
= (4-4)/(4-8)
= 0/-4
0
Answer:
zero
Step-by-step explanation:
(4-4) / (8-4) = 0/4
slope is zero which means it is a horizontal line which crosses the y-axis at 4
The expression 9.99d + 11.99c can be used to find the total cost of d pounds of ham and c pounds of turkey. How much does it cost to buy 1 pounds of ham and 2 ; pounds of turkey? A. $21.98 B. $19.96 C. $32.97 D. $44.96
9.99(1) + 11.99(2) = 32.97
C. $32.97
help me please {8×25}-{35+11}
Answer:
Step-by-step explanation:
[8*25]-[35+11]
=200-[35+11]
=200-46
=154
Answer:
154
Step-by-step explanation:
(8*25)-(35+11)
=200-46
=154
What is the value of x?
Answer:
x=4
Step-by-step explanation:
from first trangle we found LJsin(30)×8×√2 = length of LJ
And then find x from[tex] \sin(45) = \frac{x}{4×√2} [/tex]
x = 4Elaine opens a checking account with a deposit of $20.00 and wants to put the same amount of money
into the account each week for 10 weeks. She wants a balance of $200 at the end of the 10 weeks.
Write the equation that will help Elaine determine how much money she needs to deposit each week?
Answer: 200 = m x 10 + 20
Step-by-step explanation:
She wants a balance of 200 with the same amount of money (m) going into the account for 10 weeks plus the amount she began with
