Explanation:
The diameter is 64 yards
Divide it in half to get 64/2 = 32 yards as the radius.
Plug it into the formula below to get the area of the circle.
A = pi*r^2
A = 3.14*32^2
A = 3215.36
The area of the circle is approximately 3215.36 square yards.
The area is approximate since pi = 3.14 is approximate.
Aaron flips a coin three times, what is the probability of getting only one head?
3/8
1/8
1/2
3/7
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is at least 1 white rose among any 28 randomly selected roses. How many white roses are there in the tray?
Help Pleaseee!!!!
By using the second condition, we conclude that there are 23 white roses in the tray.
How many white roses are in the tray?
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
"There is at least 1 red rose among any 24 randomly selected roses""There is at least 1 white rose among any 28 randomly selected roses".The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
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what is the sum of the least and greatest amount of juice1 4/6 is the least 3 is the greatest show your work
Answer:
Min = 1 4/6
Max = 3
Sum = min + max
=> sum = 1 4/6 + 3
=> sum = 4 /4/6
Answer:
4 4/6
Step-by-step explanation:
Find the quotient 16)4.88
Answer:
if this is 4.88/16 then the answer is 0.305.
Question 1 of 10
List all the factors of 34 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
I
SUBMIT
Answer:
Hope the picture will help you.....................
Please answer the question in the picture below
Thank you!
Answer:
Question 23: 39
Question 24: 10
Question 25: Airline B
Question 26: 20 to 50
Step-by-step explanation:
part of a line having two end points
Answer:
a line segment
Step-by-step explanation:
Answer:
A line segment is part of a line that has two endpoints and is finite in length. A ray is a line segment that extends indefinitely in one direction.
Step-by-step explanation:
hope this helps
(How is the expression (7+ y) ∙9 described by its factors and terms?
A. lt is has two factors and the factor (7+ y) has two terms.
B.It has three factors and the factor (7+ y) has two terms.
C.It has three factors and the factor (7+ y) has one term.
D. It has two factors and the factor (7+ y) has one term.
The expression (7+ y) ∙9 is described by its factors and terms as; lt is has two factors and the factor (7+ y) has two terms.
Factors and terms(7 + y) × 9
63 + 9y
The factors are 7 and y and the two terms are 63 + 9y.
Therefore, the correct answer is; lt is has two factors and the factor (7+ y) has two terms.
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y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8
The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
What is Equation of parabola?
The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
The given equation is of parabola : y= x²
Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
Then, the new equation of parabola be:
y = [tex]-\frac{1}{8}[/tex] x²
Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
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divide 9 by 2, then subtract 4 from the result
Answer:
9 / 2 = 4.5
4.5 - 4 = 0.5
5. Caroline is 12 years younger than
twice Anna's age.
Caroline is 32 years old. How old is
Anna?
Answer:
10
Step-by-step explanation:
32 - 12 (because C is 12 years younger) = 20
20 / 2 (because twice Anna's age, so we do the inverse) = 10
Anna is 10 years old.
Hope this helps!
Answer:44
Step-by-step explanation:
I need help! Asap please.
Answer:
3 1/2 square units
Step-by-step explanation:
For this small triangle whose vertices are on grid points, the use of Pick's theorem will give the area with the least work.
__
theoremPick's theorem says that the area is ...
A = i +b/2 -1
where i is the number of grid points inside the boundary, and b is the number of grid points on the boundary.
applicationHere, only the given coordinates are boundary points that are on grid points. (b = 3)
The figure shows us three grid intersections inside the boundary of the triangle. (i = 3)
That means the area is ...
A = 3 +3/2 -1 = 3 1/2 . . . . square units
_____
Alternate solution
The triangle is bounded by a square 3 units on a side. From that, we can subtract a 2×3 triangle at upper left, a 1×2 triangle at upper right, and a 3×1 triangle at the bottom. That leave a figure area of ...
A = 3² -1/2(2×3) -1/2(1×2) -1/2(3×1) = 9 -3 -1 -3/2 = 3 1/2 . . . . square units
(The area of a triangle is 1/2bh, where b and h are the base and height of the triangle.)
__
Another alternate solution can be had by using a formula with the vertex coordinates:
A = 1/2|(x1)(y2 -y3) +(x2)(y3 -y1) +(x3)(y1 -y2)|
= 1/2|(-8)(3 -5) +(-5)(5 -2) +(-6)(2 -3)| = 1/2|16 -15 +6| = 3 1/2 . . . square units
** PLS HELP THIS IS GONNA AFFECT MY GRADE!! BRAINLIEST!! ANSWER ANH OF MY QUESTIONS! **
Answer:
180-108=72 72/2=36 degrees
Step-by-step explanation:
Please ad brainliest
Need help please answer ASAP!
#34.
If one's price be d
The expression is 20-2d#35
20% means 0.2 or 2/10So old area=150(100)=15000
New area increase
15000(2/10)=3000New area
15000+3000=18000Option C
#36
Prime numbers inbetween
2,3,5Probability=3/6=1/2#37
3(x-2)=2x+63x-6=2x+6x=12#38
1hr additional=1.5(2)=3$
Equation is
y=5+3xSo
12.5=5+3x7.5=3xx=2.5hoursOption A
Answer:
here i have tried 2 question hope it help u
1. Use the data points about the distance and elevations of the camps to graph the data points where the x-coordinate is the total distance traveled from the base camp and the y-coordinate is the elevation. Use the grid below or include a screenshot of the data plotted from a calculator.
Can someone please help/explain! I'm super confused and bad with word problems! The info is shown below!
You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.
What is a graph?A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).
How to plot this graph?In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.
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Question 1 (1 point)
Consider this right triangle. Determine whether each equation is correct. Select Yes or No fo
each equation
А
5
3
4
4
С
00
B
COS(A)
5
3
O Yes
ONO
Next Page
Yes
Step-by-step explanation:
[tex] \cos( \alpha ) = \frac{base}{hypoteneuse} [/tex]
Its just correct..
What is the simplified value of the exponential expression 16 Superscript one-fourth?
2
4
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex] {16}^{ \frac{1}{4} } \: is \: the \: same \: as \\ \\ \sqrt[4]{16} = \sqrt[4]{ {4}^{2} } [/tex]
Note we broke down the 16 into 4 squared*. This is because 4 squared is the same as 16. The four and the two would cancel each other leaving:
[tex] \sqrt[2]{4} \;\\ or \\ \: \sqrt [2]{{2}^{2}} [/tex]
Like before the two and the two would cancel each other out leaving:
[tex]2[/tex]
Answer:
C. 2
Step-by-step explanation:
edge
help asap????????!!!
Answer:
................
Step-by-step explanation:
Jar a contains the 8 letters in the word colorado. jar b contains the 11 letters in the word connecticut. what is the probability of randomly drawing an o from jar a, then an o from jar b?
Answer:
4/19
Step-by-step explanation:
Jar a: 3/8
Jar b: 1/11
8+11 = 19
3+1= 4
4/19
Given the following formula, solve for I.
P = 2(1 + 6)
PLEASE HELP!!!
Step-by-step explanation
Here ...I'm not too sure about the question as you have written
P = 2 ( 1 + 6 ) and ask to solve for L ...
.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.
...So let me correct the question....
P = 2 ( l + 6 )
P = 2l + 12
P - 2l = 12
- 2l = 12 - P
- 2l = - P + 12
Change the sign of both side of the equation...
2l = P + 12
divide both side by the same number...
L = ( P + 12 ) ÷ 2
[tex]l = \frac{1}{2} p - 12 \times \frac{1}{2} \\ [/tex]
Calculate the product of rational numbers...
[tex]l = \frac{1}{2} p - 6 \\ [/tex]
Please I really need help with this question!!!!!
To solve this problem, we must consider all the trigonometric equations:
⇒ (see image below)
Let's examine the diagram:
the side adjacent to ∠A ⇒ AC ⇒ 35 metershypotenuse ⇒ 53 metersThus we can use:
[tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]
Answer: 49 degrees (as rounded)
Hope that helps!
X/3 + 1 = ×/8 + 1/11
solve the question please pls
Answer:
x/3+3=x/8+1/11
x+9/3=11x+8/88
88(x+9)=3(11x+8)
88x+729=33x+24
88x-33x=729-24
55x=705
x=705/55
x=12.80
simplify PLEASE HELP ASAP
Answer:
[tex]0 < x < 6[/tex]
Step-by-step explanation:
This question asks to solve an inequality which can be written as:
[tex]\sqrt{x^2-6x+9} < 3[/tex]
Solve for x:
[tex]\sqrt{x^2-6x+9} < 3\\x^2-6x+9 < 9\\x^2-6x < 0\\x(x-6) < 0[/tex]
From here we can deduce that the inequality is [tex]0[/tex] when:
[tex]x = 0[/tex] or [tex]x = 6[/tex]
We can write the solution as:
[tex]0 < x < 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 3x - 3x+ 9 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{}(x - 3) - 3(x - 3) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 3)(x - 3) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 3) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: { (x - 3) {}^{} } [/tex]
Now, we have been given that value of x :
[tex]\qquad \sf \dashrightarrow \:x < 3[/tex]
So, let's plug the value of x as 3 in the given expression ~
[tex]\qquad \sf \dashrightarrow \:3 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
Therefore, we can conclude that :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } < 0[/tex]
Value of the expression should be less than 0
A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake....,,
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.
Answer:
You infer that mean weight of catfusf in the lake is close to 2.2lbs
Step-by-step explanation:
Because it's a random sample of 50.
So plenty of catfishes left out of surveySo it lends to variation of mean .But mean remains closer to 2.2Please help me find the value of x
Check the picture below.
NEED HELP IM NOT SURE ILL GIVE BRAINLY !!! PLEASE SOMEONE
In how many ways can we color the $8$ vertices of an octagon each red, green, or blue, so that no two adjacent vertices are the same color
There are 258 ways to color the octagon such that no two adjacent vertices are the same color
How to determine the number of ways?The given parameters are:
Sides, n = 8 --- the sides of an octagonColors, r = 3 i.e. red, green and blueSince no two adjacent vertices are the same color, we use the following chromatic polynomial of an octagon equation
Ways = (r - 1)⁸ + (r -1)
Substitute 3 for r
Ways = (3 - 1)⁸ + (3 -1)
Evaluate
Ways = 258
Hence, there are 258 ways to color the octagon
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Can someone help me?
Answer:
[tex]2x - 2y = 24 \\ 2(x - y) = 24 \\ x = 12 + y......eq(1) \\ 4x + 7y = - 40......eq(2) \\ substituting \: the \: value \: of \: x \: in \: eq(2) \\ 4(12 + y) + 7y = - 40 \\ 48 + 4y + 7y = - 40 \\ 11y = - 40 - 48 \\ y = \frac{ - 88}{11} \\ y = - 8 \\ putting \: the \: value \: of \: y \: im \: eq(1) \\ x = 12 - 8 \\ = 4[/tex]
Step-by-step explanation:
3x-2y=24......eqi
x+2y=48........eqii
now solving eq i&ii
4x=72
x=72/4
x=18
now putting the value of x in eqii
18+2y=48
2y=48-18
y=30/2
y=15
find x - and - y intercepts of the following equation. a. 4x - 3y = 12 b. y = 1/3x c. y = 2x + 5 d. y = 6
✒️ Equation
••••••••••••••••••••••••••••••••••••••
A. To find the x - intercept, let y = 0.
[tex]\tt \: \: \large \tt \: \begin{array}{|c|} \hline \tt \: 4x \: - \: 3y \: = \: \tt\underline{\green{ 12 }} \\ \tt 4x \: - \: 3(0) \: = \: \tt\underline{\blue{ 12 }} \\ \tt4x \: - \: 0 \: = \: \tt\underline{\pink{ 12 }} \\ \tt \tt\underline{\red{ \: x \: = \: 3 }} \\ \\ \tt \: x ↬\: the \: intercept\\ \tt\\ \hline\end{array} \: \\ [/tex]
[tex] \\ [/tex]
To find the y - intercept, let x = 0
[tex]\large \tt \: \begin{array}{|c|} \hline \tt 4x \: - \: 3y \: = \: \tt\underline{\green{ 12 }} \\ \tt 4(0) \: - \: 3y \: = \: \tt\underline{\blue{ 12 }} \\ \tt \: 0 \: - \: 3y \: = \: \tt\underline{\pink{ 12 }} \\ \tt \tt\underline{\red{ y \: = \: - 4 }} \\ \\ \tt \: x ↬\: the \: intercept \\ \ \\ \hline\end{array} \: [/tex]
[tex] \\ [/tex]
B. Replace x with 0 and solve for y. Then replace y with 0 and solve for x.
[tex]\large \tt \: \begin{array}{|c|} \hline \tt y \: - \: intercept: \: y \: = \: \frac{1}{3}(0) \\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \tt = \tt\underline{\red{ 0 }} \\ \\ \tt \: x \: and \: y ↬ intercepts: (0,0)\\ \\ \tt \: x \: ↬ \: intercepts: \: 0 = \: \frac{1}{3} x \\ \quad\quad \quad \quad\quad\quad\quad\quad\quad \: \tt \tt\underline{\red{ \: 0 \: = \: x }} \ \\ \\ \hline\end{array} \\ [/tex]
[tex] \\ [/tex]
The equation in b is a linear equation in the form y = mx, where m is any real number. the graph of any equation in the form y = mx is always a line that passes through the origin, which means that both the x - and - y - intercepts are (0,0).
[tex]\large \tt \: \begin{array}{|c|} \hline \tt intercept \: for \: m \: of \: y \: = \: \tt\underline{\red{ mx }} \\ \hline\end{array}[/tex]
[tex] \\ [/tex]
C. Replace y with 0, then solve for the x.
[tex]\large \tt \: \begin{array}{|c|} \hline \tt x ↬ \: intercept : \: 0 \: = \: 2x \: \ + 5 \\ \\ \tt - 5 \: = \: 2x\\ \\ \tt \: \frac{ - 5}{2} \: = \: x\\ \\ \tt \: x \: ↬ \: intercept \ \\ \hline\end{array}[/tex]
Now, replace x with 0, and then solve for y.
[tex]\large \tt \: \begin{array}{|c|} \hline \tt y ↬ \: intercept: \: y \: = \: 2(0) \: + \: 5 \\ \\ \tt \: y \: = \: 0 \: + \: 5 \\ \\ \tt \: y \: = \: 5 \\ \\ \tt y ↬ \: intercept \ \\ \\ \hline\end{array}[/tex]
The equation in 11c is written in the form y = mx + b. note than in the form, when x is replaced by 0 to find the y↬intercept. you are left with the constant b.
[tex]\large \tt \: \begin{array}{|c|} \hline \tt \: the \: y ↬ intercept \: of \: y \: = \: mx \: + \: b \\ \hline\end{array}[/tex]
If the equation is in the form y = mx + b, where m and b are real numbers, then the y ↬intercept is b.
[tex] \\ [/tex]
D. Remember that the graph of y = 6 is horizontally line parallel to the x axis that passes through the y axis at (0,6). since the line is parallel to x axis, it will not incest tha x-axis. Hence, there is no x ↬ intercept.
[tex] \\ \\ \\ [/tex]
[tex]\pmb{(ノ‥)ノ}\qquad\qquad\qquad\qquad\boxed{\tt{[05-12-2022]}} \\ \qquad\qquad\qquad\qquad\qquad\qquad\boxed{\tt{[03:11 \: am]}}[/tex]
The base of a prism has n sides. Find the numbers of faces, edges, and
vertices of the prism. Explain your reasoning.
Answers:
faces = n+2edges = 3nvertices = 2n===========================================================
Explanation:
Think of a hexagonal room with n = 6 walls, i.e. the floor is a hexagon with n = 6 sides. The floor and ceiling are parallel to each other, and congruent hexagons. That's 2 faces so far. Then we have another 6 faces to account for the walls. This gives 2+6 = 8 faces of a hexagonal prism.
In more general terms, a prism with a base of n sides will have 2 parallel and congruent base faces, and n walls or lateral faces. This gives n+2 total faces.
------------------------
Let's go back to the hexagonal prism. The floor has 6 sides to it, and so does the ceiling. We have 6+6 = 12 edges so far. Then we have another 6 edges where each of the rectangular walls meet up. That gives 12+6 = 18 edges total of this hexagonal prism room.
For any more general case, each base has n sides. That gives 2n sides so far for just the bases. Then add on another n for the lateral edges and we get 3n total edges.
--------------------------
Once again lets revisit the room with the hexagonal floor and ceiling. The floor has 6 vertices and the ceiling has the same vertex count. Therefore, this prism has 6+6 = 12 vertices.
For the general case, each base has n vertices. There are 2 such identical bases giving 2n vertices total.
---------------------------
One way to check the answer:
We could use Euler's Polyhedron Formula which is
F+V-E = 2
where,
F = number of facesV = number of verticesE = number of edgesFor the hexagonal prism we found
F = 8V = 12E = 18Then notice how
F+V-E = 2
8+12-18 = 2
20-18 = 2
2 = 2
This confirms the formula works for a hexagonal prism.
Now let's check it for the more general case
We found earlier that,
F = n+2V = 2nE = 3nSo,
F+V-E = 2
n+2+2n-3n = 2
3n-3n+2 = 2
0n+2 = 2
0+2 = 2
2 = 2
This helps confirm the answer for any prism with the base of n sides.