This is the same as 7.5pi
============================================================
Explanation:
Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.
Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below
S = (x/360)*pi*r^2
where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.
Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2
-----------------------
Plugging in the given values leads us to...
S = (x/360)*pi*r^2
S = (108/360)*pi*5^2
S = (3/10)*pi*25
S = (3/10)*25*pi
S = 75pi/10
S = 15pi/2
This is the same as 7.5pi because 75/10 = 15/2 = 7.5
I'll leave it as a fraction since the previous answer I wrote was in fraction form.
-------------------------
Side note: if the angle x is in radian mode, then you'll use this formula
S = (x/2)*r^2
Answer:
7.5π square meters
Step-by-step explanation:
The formula for the area of a sector (when angle is given in degrees) is: [tex]A=\frac{\theta}{360}\pi r^{2}[/tex]
Where r is the radius, and [tex]\theta[/tex] is the angle of the sector in degrees.
We are given the information that the radius = 5m, and [tex]\theta[/tex] = 108 degrees. So now we can just substitute these values into the equation to solve for A:
[tex]A=\frac{108}{360}\pi 5^{2}\\\\A=0.3\pi * 25\\A = 7.5\pi[/tex]
(OR approx. 23.56 square meters)
Hope this helped!
What is the slope of a line perpendicular to 3x + 4y = -2?
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The slope of the perpendicular line will be the negative reciprocal of the original slope.
For this line, the slope is [tex]-\frac{3}{4}[/tex] , whose negative reciprocal is [tex]\frac{4}{3}[/tex]
Pls help
A quadratic equation written in general form has a coefficient of −5 on the leading term, a coefficient of 2 on the first-degree term, and a constant of 3. What is the equation? Use x as the variable.
Answer:
f(x) = -5x² + 2x + 3
Step-by-step explanation:
f(x) = -5x² + 2x + 3
HELP ME WITH THIS PLEASEEEE
Please help I’ll give brainliest
Answer:
13%
Step-by-step explanation:
Interest Amt = Principal x Interest Rate x Time (in years)
780 = 4000·r·1.5
780 = 6000r
780/6000 = r
r = .13 which is 13%
Plsss Answer 100% will mark as brainlist!!!
In the following figure ABCD, find the value of x
Answer:
80°
because its diagnol so the one in the top corner is the same as x
Answer:
x = 140°
Step-by-step explanation:
Sum of exterior angles of polygon is 360°
That is, x + 70 + 80 + 70 = 360
x + 220 = 360
x = 360 - 220 = 140°
Help please help with the question ♥️
Answer:
39 ft^2
Step-by-step explanation:
area of small rectangle
length = 3 ft
breadth = 1 ft
area of rectangle = l*b
=3*1
=3 ft^2
area of big rectangle
length = 12 ft
breadth = 3 ft
area of rectangle = l*b
=12*3
=36 ft^2
area of the figure = area of small rectangle + area of big rectangle
=3 + 36 ft^2
=39 ft^2
pls help pls help pls help
si 30 cuadernos cuestan 120 Bs ¿ cuantos costaran 18 cuadernos
Please help me to do the other answers
Answer:
in = - 9.5
Step-by-step explanation:
- 9.5 × 2 = -19
-19 - 1 = -20
Which expression gives the measure of angle ABC?
Answer: 1/2 (110 degree + 20 degree)
Step-by-step explanation:
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
Select all of the true statements about the sides of a right triangle.
A. The legs are the sides next to the 90 (right) angle.
B. The hypotenuse is the longest side
C. Side “a” is always longer than side “b”.
D. The hypotenuse is opposite the 90 (right) angle.
Answer:
It should be options B and D
If 2 to the power of x is 1/32. Find the value of x...
Step-by-step explanation:
2 to the power x =1/32
2 to the power x =1/2 to the power 5
2 to the power x = 2 to the power -5
then,
x = -5
Please help! I’m begging lolll
Answer:i think is C
Step-by-step explanation:
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.
Students Who Feel More Focused after Exercise
20%
20%
20%
20%
20%
How many students said they feel more focused after exercising?
Answer:
760
Step-by-step explanation:
Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.
Answer:
x
=
7
2
,
−
8
3
Step-by-step explanation:
Answer:
o9
[tex]x = - 44 \div 5[/tex]
hope to help you
A play is being presented on a circular stage. The two main characters are
at positions A and B at the back of the stage. What angle of view between
the main characters does an actor at position C at center stage have? *
Answer:
The angle of view between the main characters is 80°.
Step-by-step explanation:
The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.
f(x) = x +1 g(x) = x^2 - 3
find f 3
find gf3
What is the output (y) if the input (x) is -10?
plz exsplain
Answer:
y = -5
Step-by-step explanation:
y = x / 2
For x = -10
Plug -10 into the equation
y = -10/2
y = -5
------------------
For the remaining values
x y
0 0
4 2
10 5
25x + 22x + 9 = 180.......
[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅
Step-by-step explanation:-
[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]
To verify:-
[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Find the missing side
Answer:
x = 54.40883769
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 37 = 41/x
x tan 37 = 41
x = 41/ tan 37
x = 54.40883769
Thank you show your work<3
x=
y=
Answer:
[tex]x=-5,\\y=\frac{13}{2}[/tex]
Step-by-step explanation:
[tex]\begin{cases}x+2y=8,\\x=-5\end{cases}[/tex]
Substitute the second equation into the first ([tex]x=-5[/tex]):
[tex]-5+2y=8,\\2y=13,\\y=\boxed{\frac{13}{2}}[/tex]
The second equation already denotes [tex]x=-5[/tex]. Therefore,
[tex]\boxed{x=-5,\\y=\frac{13}{2}}[/tex]
Answer:
x=-5
y=6.5
Step-by-step explanation:
if x=-5 then x+2y=8 could be rewriten as -5+2y=8 then you add 5 on both sides and you get 2y=13 then divide both sides by 2 and you get y=6.5
find the eighth term of an arithmetic sequence if the first term is 5 and the common difference is 6
Answer:
47
Step-by-step explanation:
Formula for finding nth term of an arithemetic sequence is:
tn = t1 + (n-1) d
Where t1 is the first term, n is the specific term, and d is the common difference.
Plug numbers into the formula and solve:
t8 = 5 + (8-1)6
t8 = 47
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answer:
[tex]y = 12.25[/tex]
Step-by-step explanation:
Area of parallelogram = [tex]49 {cm}^{2} [/tex]
∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]
[tex]∴ \: s = y[/tex]
[tex]y = \frac{49}{4} [/tex]
[tex]y = 12.25[/tex]
Hope it is helpful...What’s the answer?????
Answer:
19.3
Step-by-step explanation:
d=m/v
d=2316/120
d=19.3 g/cm^3
Answer:
19.3g/cm^3
Step-by-step explanation:
The product of two 2-digit numbers is 3774. What is the smaller of the two numbers?
Please help quick
Answer:
In factored form: 3774 = 2 · 3 · 17 · 37
Creating two two-digit numbers: 3 · 17 = 51 and 2 · 37 = 74.
So, the two numbers are: 51 and 74.
Find the value of x. Round your answer to the nearest tenth.
Answer:
9.30
Step-by-step explanation:
Using SOHCAHTOA
tan=opposite/adjacent
tan25°=x/20
tan 25°=0.4663
0.4663=x/20
cross multiply
x=0.4663*20
x=9.326
to the nearest tenth=9.30
if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please
Step-by-step explanation:
x2+1/x2=27
x2+1=27x2
1=26x2
x2 = 1/26
x = √(1/26)
x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3
x3+1/x3 = 134
Please find attached photograph for your answer
HELPPP PLEASEEEEEEE!!
Answer:
We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.
There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?
Answer:
0.0152 probability
Step-by-step explanation:
first there are 12 marbles: odds are 2/12 = 1/6
Then, there are 11 marbles: odds are 1/11
So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152
Please give brainliest thanks!