Answers
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:
Related Questions
Which point is located on the x-axis of a coordinate grid?
Answers
I don't see the grid? did you attach a photo?
Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?
Answers
4/1=8/2
Help me!
I promise will chose Brainliest..
Answers
Answer:
IDR 3,651.04
Step-by-step explanation:
4x24=96
96x2,400=230,400
230,400+50,000=280,400
280,400x1.25=350,500
350,500/96=3,651.04
IDR 3,651.04
Answer:
3651 IDR
Step-by-step explanation:
I need to make some assumptions, as the problem description is sometimes too vague.
I assume the delivery charge to cover all 4 boxes as one lump sum.
4 boxes with 24 pouches each.
=> Roma has 96 pouches total.
each pouch cost 2400. that is in total
96×2400 = 230400 IDR
then there is the delivery charge of 50000 for everything.
so, the total costs for Roma are
230400 + 50000 = 280400 IDR
25% profit means that the total sales (assuming all pouches are sold) is 25% higher than the costs.
profit = 280400 + 25%
25% is 1/4 of the total (as 25%×4 = 100%).
25% = 280400 / 4 = 70100.
so, in order to make 25% profit the total sales price (for all pouches sold) has to be
280400 + 70100 = 350500 IDR
now, we have 96 pouches. after selling all 96 pouches we need to have an income of 350500 IDR.
the price for each pouch has to be an equal share of the 350500.
pouch price = 350500 / 96 = 3651 IDR.
Ayuda Porfavor !!!!!!!!
Answers
Answer:
44
Step-by-step explanation:
10 x 3 = 30
8 + 6 =14
30 + 14 = 44
Answer:
110ft²
Step-by-step explanation:
Area of figure=(10×8)+(1/2×6×8)
=80+24
=112 ft²
=110 ft² (to nearest tenth)
pls help in the middle of my final lol
Answers
Answer:
x+133 =131
x. =131-133
x. =(-2)
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answers
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
Which cone has a volume of 24 x cm?
Answers
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
In circle P, PQ = 3 in. What is the circumference of the circle?
Answers
Answer:
6π
Step-by-step explanation:
Formula: C=2πr
C=2π3
C=6π
What is the value of x?
Answers
Answer:
Step-by-step explanation:
Corresponding angles are congruent
x² - 72 = 6x
x² - 6x - 72 = 0
Sum = -6
Product = -72
Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}
x² + 6x - 12x -72 = 0
x(x + 6) - 12(x + 6) = 0
(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}
x - 12 = 0
x = 12
URGENT
PLEASE ANSWER!!!!
Answers
Answer:I honestly don’t know.....
im so sorry
Step-by-step explanation:
Let h(x) = x*2 + kw - 8. If h(-1) = -5, what is the value of h(4)?
Help
Answers
Answer:
h(4) = 0
Step-by-step explanation:
Hoping its ' kx '
[tex]h(x) = x^2 + kx -8 \\\\h(-1) = (-1)^2 + k(-1) - 8\\\\-5 = 1 - k -8\\\\-5 = -k -7\\\\-5 + 7 = -k\\\\2 = -k\\-2 = k[/tex]
Now we have k = -2. We will find h(4).
[tex]h(4) = (4)^2 + (-2)(4) - 8 = 16 -8 - 8 = 0[/tex]
Answer:
h(4) = 0
Step-by-step explanation:
GIVEN :-
A quadratic function h(x) = x² + kx - 8h(-1) = -5TO FIND :-
Value of h(4)SOLUTION :-
To find the value of h(4) , you need to find 'k' first by using the given facts.
[tex]h(-1) = (-1)^2 + k(-1) - 8 = -5[/tex]
[tex]=> 1 - k - 8 = -5[/tex]
[tex]=> -k - 7 = -5[/tex]
Add both the sides by 7.[tex]=> -k - 7 + 7 = -5 + 7[/tex]
[tex]=> -k = 2[/tex]
Multiply both the sides by -1.[tex]=> -k(-1) = 2(-1)[/tex]
[tex]=> k = -2[/tex]
Putting the value of k,
[tex]h(4) = (4)^2 + (-2)(4) - 8[/tex]
[tex]= 16 - 8 - 8[/tex]
[tex]= 16 - 16[/tex]
[tex]= 0[/tex]
Which of the following statements justifies why the triangle shown below is not a right triangle?
Answers
Answer:
C.
Step-by-step explanation:
15^2 not = 6^2 + 11^2.
Im taking my algebra 1 final exam today... I'm nervous. Any advice? (I'm an 8th grader taking algebra and its challenging to me)
Answers
Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!
Quick!! I need an answer fast! worth 40 POINTS!
Choose all the equations which are correctly solved.
A) x2 − 5x + 5 = 0 {2, 3}
B)x2 − 7x − 8 = 0 {−1, 8}
C) x2 + 12x + 20 = 0 {−2, −10}
D) x2 − 3x − 10 = 0 {2, 10}
E) x2 + x + 20 = 0 {4, 5}
Answers
Answer:
B) & C)
Step-by-step explanation:
___________________
A DVD case contains 4 comedies and 6 action movies. Suppose you select a movie at random on Friday night, don’t replace the movie because you don’t want to watch it again, and then select another movie on Saturday. What is the probability that you select a comedy on Friday and an action movie on Saturday? I HAVE 5 MINS
Answers
Step-by-step explanation:
P(C) = 4/10 = 2/5
P(A) = 6/10 = 3/5
What is 6574893 + 7?????
Answers
Answer:
6574900
Step-by-step explanation:
Answer:
6,574,900
Step-by-step explanation:
have a good day
If a = -9 and b= -4, what is the value of a + b? -5, 5, -13, 13.
Answers
Answer:
-13
Step-by-step explanation:
simply add
Answer:
Step-by-step explanation:
a+b
-9+(-4)
-9-4
-13
Solve this problem on paper using all four steps.
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they
doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell
each week?
Answers
Answer: 104 boxes were sold in 1 week.
Step-by-step explanation:
I think I'm right sorry if I'm not, good luck!
Answer: First Week: 104 Second Week:109 Third Week: 218
sorry for being a year late
7(-6 1/8) or 7 x -6 1/8=?? brainilist
Answers
Answer:
Step-by-step explanation:
[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]
Answer:
-343/8 or -42 7/8
Step-by-step explanation:
7(-49/8) = -343/8 or -42 7/8
Find the value of x. Round to the nearest tenth.
Answers
Answer:
10.
Step-by-step explanation:
According to Pythagoras,
14^2 = 10^2 + x^2
196 = 100 + x^2
x^2 = 196-100
x^2 = 96
x = 9.8
x = 10 (nearest tenth)
Hope, this will help and please mark me as brainliest.
PLEEEEEEEEEASE HELLLPPP TEACHER IS TERRIBLE AND WONT HELP MEEEEEE
Answers
Answer:
A(-1,1) B(-3,2) C(-3,4) D(-1,5)
Step-by-step explanation:
when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.
Evaluate the expression for p = 8.
4p =
Answers
Answer:
Answer = 32
Step-by-step explanation:
p= 8
4p
(4)(8)
=32
Answer:
I got, 8 x 4 = 32
help finding the area
Answers
Answer:
[tex]112m^{2}[/tex]
Step-by-step explanation:
formula L * H =A
8*14=112
I need help for today :( plz
Answers
Answer:
Step-by-step explanation:
Part C: (Explanation with steps)
Let the length of the swimming pool = l feet
And width of the pool = w feet
Perimeter of the pool = 2(l + w) feet
Since, perimeter of the pool = 8 feet
2(l + w) = 80
l + w = 40
l = (80 - w) -------(1)
Area of the pool = Length × width
A(w) = l × w
By substituting the value of l from equation (1)
A(w) = (80 - w) × w
A(w) = 80w - w²
To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.
A'(w) = 80 - 2w
(80 - 2w) = 0
w = [tex]\frac{80}{2}[/tex]
w = 40 feet
Therefore, for width (w) = 40 feet area of the pool will be maximum.
From equation (1),
l = 80 - 40
l = 40 feet
Therefore, maximum area of the pool = l × w
= 40 × 40
= 1600 square feet
Part A:
Function representing area of the pool,
A(w) = -w² + 80w
Part B:
Maximum area of the surface of the pool = 1600 square feet
The measures of two interior angles in a triangle are 108 degrees and 24 degrees. Find the measure of the third interior angle and the measures of the exterior angles.
Please give only real answers. I will give 50 points for who answered it right.
No docs/No files only type in the answer.
Answers
Answer:
A= third interior angle
108+24+A=180
A=180-24-108
A=48
Step-by-step explanation:
the graph of g(x) ,shown below, is a vertical shift of the graph of f(x) = 2^x. write the equation for g(x).
Answers
Answer:
it B
Step-by-step explanation:
just took the test.
shsnwnzjdbsbxfn
Answer: g(x) =2^x -1
Step-by-step explanation: I took the test
Given that a : b= 8:5 and 6: c= 3: 4,
find the ratio a : 6:c
Give your answer in its simplest form.
(3 marks)
Answers
a=8
b=5
c=8 since 6/2=3 and 8/2=4
a/6/c = 8/6/8
Divide by 2
4/3/4 or 4:3:4
Help! Geometry Triangle Congruence
Answers
Answer:
Step-by-step explanation:
Thank your for revising and improving the image.
Assuming DF is a straight line,
Given E is the mid-point of DF
mCE = mGF
CE || GF
Then
mDE = mEF (E midpoint of DF)
Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)
mCE = mGF (given)
Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)
Help please...no links...
Answers
Answer:
a
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 4² + 7² = 16 + 49 = 65 ( take the square root of both sides )
x = [tex]\sqrt{65}[/tex] → a
Answer:
hopes this helps
Step-by-step explanation:
D 28
What is the surface area of the triangular prism?
Answers
Answer:
9 x 24 x 1/2(basically dividing by 2) = 108 , 108 x 2(two triangles) = 216
40 x 15 = 600, 600 x 2(two slanted rectangles) = 1200
40 x 24 = 960 (area of base)
Add given areas:
216 + 1,200 + 960 = 2,376 square feet, B.
Answer:
(B) 2,376
Step-by-step explanation:
I was the first person to actually answer since the other person used you for points but it is B