Answer:
see explanation
Step-by-step explanation:
(1)
The distance walked ( arc length ) is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 45 × [tex]\frac{21}{36}[/tex]
= 90π × [tex]\frac{7}{12}[/tex]
≈ 165 ft ( to the nearest foot )
(2)
The area (A) covered is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{122}{360}[/tex]
= π × 18² × [tex]\frac{61}{180}[/tex]
= 324π × [tex]\frac{61}{180}[/tex]
≈ 345 in² ( to the nearest square inch )
(3)
The area (A) is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )
= π × 75² × [tex]\frac{8}{36}[/tex]
= 5625π × [tex]\frac{2}{9}[/tex]
≈ 3927 ft² ( to the nearest square foot )
Answer:
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=
360
∘
θ
⋅2πr
Replace 360° with 2π radians.
\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}
360
∘
θ
=
2π
θ
Replace the angle ratio in degrees with the angle ratio in radians.
\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=
2π
θ
⋅2πr
Simplify by cancelling
\textit{Arc Length}=\theta rArc Length=θr
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.
6__________ = 170______
To find:
The correct units from grams and ounces for these blanks.
Solution:
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!
Answer:
259,459,200 ways.
Step-by-step explanation:
That is the number of permutations of 8 from 15.
= 15! / 15-8!
= 15! / 7!
= 15*14*13*12*11*10*9*8
= 259459200
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
[tex]Base\ Snow = 75in[/tex]
[tex]Rate = 1in[/tex] hourly
Mt. Winterpark
[tex]Base\ Snow = 68in[/tex]
[tex]Rate = 2in[/tex] hourly
First, we need to illustrate the amount of snow as an equation in both cases.
[tex]Amount = Base\ Snow + Rate * Time[/tex]
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
When [tex]x = 0[/tex]
Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]
When [tex]x = 2[/tex]
Ski Resort: [tex]y = 75 + 2 = 77[/tex]
Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]
When [tex]x = 3[/tex]
Ski Resort: [tex]y = 75 + 3 = 78[/tex]
Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
Ski Resort: [tex]y = 75 + 5 = 80[/tex]
Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
Ski Resort: [tex]y = 75 + 6 = 81[/tex]
Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
Ski Resort: [tex]y = 75 + 8 = 83[/tex]
Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9
Answer: -6 and 6
Step-by-step explanation:
Possible factors that could produce 3x² + 6x +3 are (x + 1)(3x + 3)
the solution for values of x: x+1=0, x= -1 3x+3=0, 3x= -3 . x= -1 . Same.
Possible factors that could produce 3x² - 6x +3 are (x - 1)(3x - 3)
the solution for values of x: x-1=0, x= 1 3x-3=0, 3x= 3 . x= 1 . Same.
From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.
The equations with -6 and +6 each touch the x-axis at only one point each.
rename 1/4 and 1/8 using the least common denominator ( help pls )
Answer:
2/8 and 1/8
Step-by-step explanation:
I need some help on this
Answer:
b, k = -4
Step-by-step explanation:
3/2 = k + 11/2
=> 3/2 - 11/2 = k
=> -8/2 = k
=> k = -4
Answer:
the answer to this problem is -4
Solve the inequality
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:
They have room for 166 more people.
Step-by-step explanation:
485 - 319 = 166
Answer:
166 people.
Step-by-step explanation:
If there is room for 485 and 319 people are coming, just subtract. 485-319=166.
please answer fast :(((
Answer:
KP = 6
Step-by-step explanation:
From the information given, K is the centroid.
Therefore, based in the centroid theorem:
KP = ⅓(AP)
AP = 18
Plug in the value of AP into the equation
KP = ⅓(18)
KP = 6
Help please it’s supposed to be turned in
Answer:
30 i believe
Step-by-step explanation:
hope this helps. i say 30 because thats the only common multiple in those numbers :P
what does x equal?
4x+7=31
Answer:
x = 6
Step-by-step explanation:
First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .
Then divide both sides by 4 to remove the coefficient of x. That means x = 6.
4x+7=31
-7 -7
4x=24
÷4 ÷4
x = 6
Question 17 options:
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data.
sleep hours data.xlsx (8.6
8.3
7.6
6
7.1
5.6
5.1
6
Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between
Answer:
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Step-by-step explanation:
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]
Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.
The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:
[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]
*Use a t-table.
Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
3m + 3
m= -7
A: -18
B: 24
c: -12
Answer:
Step-by-step explanation:ambient temperatures. This tape withstands a temperature range of 32 to 356 ° F (0 to 180 °C). ... 3M™ PTFE Film Electrical Tape 62, 3/8 in x 36 yd, 24 Rolls/ Case. Part Number 62 ... 3M 60 PTFE Film Tape B. 1 of 1. 3M 60 PTFE ... 32.9 m. Overall Width (Imperial). 0.375 in. Overall Width (Metric). 9.53 mm. Product Color.
Marcus graphed a point on the number line. A number line going from 0 to 1 with 8 equal spaces between 0 and 1. A point is marked on the line half-way between 0 and 1. What fractions did he graph? Check all that apply.
Answer:
A,C,D
Step-by-step explanation:
I got it right :D
What is proportional reasoning and how does it help you solve percent equations?
Answer:
We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x
Step-by-step explanation:
Solve each equation. Check your solution.
3(n - 7) = -30
70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there
Answer:
21 moats
Step-by-step explanation:
.70 x 30 = 21
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon? Show your work.
Answer:
9 inches; 4.5 inches.
Step-by-step explanation:
Given the following data;
Length of sides of the equilateral triangle = 1.4x + 2 inches.
Length of sides of the hexagon = 0.5x + 2 inches.
We know that the perimeter of a hexagon is given by the formula;
P = 6 * length of sides
Substituting into the equation, we have;
P = 6*(0.5x + 2)
P = 3x + 12
Perimeter of an equilateral triangle is given by the formula;
P = 3 * length of sides
Substituting into the equation, we have;
P = 3(1.4x + 2)
P = 4.2x + 6
Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;
3x + 12 = 4.2x + 6
Rearranging the equation, we have;
12 - 6 = 4.2x - 3x
6 = 1.2x
x = 6/1.2
x = 5
I. To find the length of each sides of the equilateral triangle;
Length of a side = 1.4x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 1.4*(5) + 2
Length of sides = 7 + 2
Length of sides = 9 inches.
II. To find the length of each sides of the hexagon;
Length of sides = 0.5x + 2
Substituting the value of "x" into the equation, we have;
Length of sides = 0.5*(5) + 2
Length of sides = 2.5 + 2
Length of sides = 4.5 inches.
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given tha the perimeters are equal.
So,
[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
Learn more: https://brainly.com/question/13532036
Help please *an image is attached*
Is chewing gum independent of having a cavity filled recently?
A.
B.
C.
D.
Answer:
did you figure out the answer I'm sorry they don't have a comment section on ur photo
Answer:
P(Gum) ≠ P(Gum/Cavity)
Step-by-step explanation:
Answer on Edge
7•7•7•7+1+1 exponent
Answer:
The right answer is 2,403
Step-by-step explanation:
help me.............
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation:
(b) 25% of what number is 17?
Answer:
68
Step-by-step explanation:
derive that 25 percent of 68 equals 17.
Answer:
25 percent of 68 equals 17.
Step-by-step explanation:
What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown?
A. 0.04
B. 0.16
C. 0.47
D. 0.84
Answer:
Probability = 0.04 (Approx)
Step-by-step explanation:
Given:
High school diploma = 0.03
Total holder = 0.03+0.44+0.26+0.11 = 0.84
Find:
Probability
Computation:
Probability = 0.03 / 0.84
Probability = 0.0357
Probability = 0.04 (Approx)
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
Marta used a coupon to save $3.50 on a book she bought. when marta bought the book,she gave the Clark a $20.00 bill,and the coupon.the sales gave Marta $9.01 in change.
Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!
Step-by-step explanation: Thanks for the points!!!! :)
Tabitha used canvas fabric to make a tent for her dog. The number line shows the number of yards she used.
Answer:
7/8 because there are 4 dashes and the point is right in the middle of them, making it so the denominator is 8, you figure out the 7 because 8/8 would be 1, and the point is right before 1 so it has to be 7/8
Step-by-step explanation:
Answer:
D) 7/8
Step-by-step explanation:
I'm also on Edge and am on this same question. Credit to the other person for also saying 7/8 and being right :D
9/10 of alien races think invading Earth is a bad idea.
What percentage of alien races think invading Earth is a bad idea?
____%