Answer: The formula for sector area is simple, multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2. So you want to do that for every problem like this
Step-by-step explanation:s
=========================================================
Explanation:
Let's ignore the area of the shaded slice for now. Instead, we'll find the area of the full circle
We plug in the radius r = 1 to find that
A = pi*r^2
A = pi*1^2
A = pi
The exact area of that full circle is pi square meters. You can think of an actual pie (the baked pastry, not the constant) with this area as a way to help conceptualize things.
If we wanted the whole circle, then we'd say pi is the answer. However, we only want a slice of that circle. The fractional amount 66/360 represents the slice we want. This fraction reduces to 11/60 after you divide both parts by 6. If you were to cut the pizza up into 60 slices, then you would shade 11 of them in to represent the green area.
Multiply 11/60 with the area pi to get the final answer 11pi/60
This answer is exact in terms of pi
To get an approximate value, you could replace pi with 3.14 to get 11pi/60 = 11*3.14/60 = 0.57567 meaning the green shaded area is roughly 0.57567 square meters. Use more decimal digits of pi to get a more accurate shaded area.
please help thank you i will give brainliest for the first correct answer
Answer:
Step-by-step explanation:
Answer:
79, I hoped that helped:)
Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card.
Answer:
1/4
Step-by-step explanation:
Let's call the aces for hearts, diamonds, clubs, and spades. So, are red and [tex] c, s[/tex] is black.
Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple
There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favor to deduce the probability of winning:
If we want a player to draw two cards of the same color, the following couples are good:
so 8 possible couples over 16. This means that a player's probability of drawing two cards of the same color is 8/16 = 1/2.
Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:
which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.
This equation shows how the total number of pieces Lamar has learned depends on the number of weeks he has taken piano lessons. P = w The variable w represents the number of weeks he has taken piano lessons, and the variable p represents the total number of pieces he has learned. In all, how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Answer:
19 weeks
Step-by-step explanation:
Given equation:
P = w
Where,
w = the number of weeks he has taken piano lessons
p = the total number of pieces he has learned
how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Find w when p = 19
P = w
p = 19
Since P = w
19 = w
Therefore,
w = 19
Lamar need 19 weeks before he will be able to play a total of 19 pieces
What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?
Answer:
(3,13)
Step-by-step explanation:
Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)
(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).
What is distance?Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.
As the point A(3,1) and point B(3,19) is 18 units away,
2/3 X 18 then add that to point A
2/3 X 18 = 12 so the point we are looking for is (3,13)
To learn more about distance refer to:
https://brainly.com/question/17273444
#SPJ2
can someone help please !! giving brainlist to anyone who answers
3 is the correct one!
The volume of the cylinder
Answer:
15550.88
Step-by-step explanation:
the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.
Answer:
15550.88
Step-by-step explanation:
You use πr^2 h
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
Question 15 of 43
A bag of marbles has 12 red, 7 yellow, 5 blue and 1 white. Find the probability
of selecting 4 marbles from the bag where all 4 are red.
9
A.
o
B.
1
C.
75900
o
D.
Answer:
Option A
Step-by-step explanation:
[tex] \frac{12}{25} \times \frac{11}{24} \times \frac{10}{23} \times \frac{9}{22} [/tex]
we start with 12 red marbles out of 25 marbles, that's the probability for the first.
in the second step we have one red marble less, wich also means one marble less overall
and so on
[tex] \frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22} [/tex]
[tex] = \frac{11880}{303600} [/tex]
can be reduced by 1320 (step by step) to
[tex] \frac{9}{230} [/tex]
I need help on both questions!
Answer:
9 sq.m
Step-by-step explanation:
because the area of triangle is 1/2 *b*h
Answer:
The area of the triangle is 9 sq. m.
Step-by-step explanation:
The formula of a triangle is 1/2 BH (Base times height divided by two) therefor 6x3/2 is 9, so your answer is 9 sq. m.
Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them.
Answer:
25 and 26
Step-by-step explanation:
25+26=51
Hope this helps! :)
Answer and Step-by-step explanation:
We can represent the equation like this:
x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.
Solve for x.
Add the x's together.
2x + 1 = 51
Subtract 1 from both sides of the equation.
2x = 50
Divide 2 on both sides of the equation.
x = 25
So, the numbers are 25 and 26.
25 + 26 = 51
#teamtrees #PAW (Plant And Water)
Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}
Answer:
Step-by-step explanation:
S={1,2,...,20}
A={1,2,3,4,5,6,7,8,9,10}
A^c={11,12,13,...,20}
B={2,4,6,8,7,10,12,16,18}
A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}
Answer my question its urgent
Answer:
Step-by-step explanation:
Hope this helps u!!
⚠️6TH GRADE MATH⚠️
Six percent of the sale price of a home
goes to the real estate agents as their
commission. The buyer's agent and
the seller's agent split the commission
evenly. How much commission does
each agent get when they complete
the sale of a $340,000 house?
Answer:
10200
Step-by-step explanation:
0.06*340,000=20400
20400÷2=10200
Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has
Answer:
Robert can feed 13 cats.
Step-by-step explanation:
To solve this we simply divide.
3.38 divided by 0.26 = 13
Therefore Robert can feed 13 cats.
8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.
Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
If someone could help that would be great. Brainliest and thanks!
Answer:
D does not show an equivalent rate
Step-by-step explanation:
we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)
75 ÷ 3 = 25
25 word per 1 minute
now we need to multiply the minute by 25 to get the number of words typed
25(words) x 1(minute) = 25 words in 1 minute(so A is correct)
25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)
25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)
25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)
25+ POINTS WILL MARK BRAINLIEST
Answer:
Point A = (-6,0)
Point B = (0,4)
Answer:
Your Answer is this
Step-by-step explanation:
area of the triangle ABC
Answer:
180
Step-by-step explanation:
hope this answer be right :)
In the triangle above a = 12 and c = 26. Find the value of b to the nearest hundredth.
If f(x) = 2x - 6 and dx) = 3x + 9, find (f - g(x).
O A. (f- g)(x) = -x- 15
O B. (f- g)(x) = x + 15
O C. (f- g)(x) = -x+ 3
O D. (f - g)(x) = 5x + 3
Answer:
A
Step-by-step explanation:
Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):
[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
pls help me on this i don't know what to do
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
Find the measurements of angle WXZ, XZW, and XWZ
Answer:
WXZ = 123
XZW = 28.5
XWZ = 28.5
Step-by-step explanation:
Find the missing angle measurements of LJK ? , fill in the boxes
Answer:
Angle LJK = 75 degrees
Step-by-step explanation:
Here, we want to fill the boxes
From the diagram;
angle HJL and LJK are supplementary (they add up to 180 degrees)
Angle HJL + Angle LJK = 180
angle LJK = 180-105
Angle LJK = 75 degrees
[tex]\huge\mathfrak\green{please \: help...} \\ \\ \huge\mathfrak\red{5 {}^{2} + 6 {}^{2} = {?} ...}[/tex]
61 is a required answer.
Answer:
[tex]\boxed{5²+6²=5*5+6*6=25+36=61}[/tex]
Which of the following is(are) the solution(s) to 16x-51- 7?
O A. X=
3
O B. x= -2
O C. X= 2-
OD. x = 2
Answer:
C
Step-by-step explanation:
Given
| 6x - 5 | = 7
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
OR
- (6x - 5) = 7 ← distribute parenthesis on left side by - 1
- 6x + 5 = 7 ( subtract 5 from both sides )
- 6x = 2 ( divide both sides by - 6 )
x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C
Help me with area, please.
Answer:
Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80
Step-by-step explanation:
I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.
For number 2:
First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.
Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.
Now, simply multiply 2.5 by 10, and you have the area for number 2.
The area for number 2 is 25.
For number 3:
This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.
For number 4:
This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.
Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
you save 2/5 of your allowance every week. if you receive $40 per week
how much money will you have after 8 weeks
Answer:
$128
Step-by-step explanation:
2/5 × $40= $16
$16×8= $128