Answer:
Option C
Step-by-step explanation:
Circumference of a circle = [tex]2\pi r[/tex]
Circumference of a circle with radius 3 ft= [tex]2\pi *3 = 6\pi[/tex]
Circumference of a circle with radius 8 ft or 16 ft= [tex]2\pi *8/2 = 16\pi/2 = 8\pi[/tex]
The difference between the two circle
[tex]8 \pi - 6\pi = 2\pi \\= 2 * 3.14\\= 6.28\\[/tex]
Hence, option C is correct
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answer: A
Step-by-step explanation:
58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved
Answer:
23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.
Step-by-step explanation:
___________Plan I___ Plan II ___Neither
Ages 26–35__ 19_____ 14_______ 17
Ages 36–45__ 14 _____28_______ 8
Ages 46–55__ 27 _____21_______ 2
Total Number who prefer plan 1 = (19 + 14 + 27) = 60
Number in the 36 - 45 age group = 14
Percentage = 14 / 60 = 0.2333 = 23%
Number of people in the 46-55 age group = (27 + 21 + 2) = 50
Number on the age group who prefer plan II = 21
Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%
Please help im confused on the last question on my warm up!
Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
What is the mode of 5, 9, 4, 7, 6, 2, 1, 8, 4, 9, 3, 4, 6, 4, 2, 4?
2
4
6
Answer:
2-2 times
4-5 times
6-2 times
4 is the mod
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The choices are 2, 4, or 6, and the mode is the number that appears most frequently. The number of each is as follows:
2-2
4-5
6-2
4 appeared most often, so it is the answer.
PLEASE HELP ME PLEASE!!!!
Answer:
45\
Step-by-step explanation:
it will be 8 units
hope it helps
Describe the event as impossible, unlikely, equally likely, likely, or certain.
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
first to answer gets brainlyest
Answer:
likely
Step-by-step explanation:
100% is certain, likely is around 75%, equally is around 50%, and unlikely is around 25%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
[tex]\sf{\dfrac{75}{100} }[/tex] [tex]\sf{\dfrac{3}{4} }[/tex]The probability of rain is 3/4
AreA of a circle pls help
Answer:
28.26[tex]in^{2}[/tex]
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for [tex]\pi[/tex]
Area formula = [tex]\pi r^{2}[/tex]
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26[tex]in^{2}[/tex]
Therefore the area of the circle is 28.26[tex]in^{2}[/tex]
Hope it helps :)
Answer:
28.26
Step-by-step explanation:
You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.
What are 3 ways you could use arts and music outside school
I know the selected answer is correct but I'm not too sure how to get that answer.
Could someone please explain.
[tex]\tt{ Hey \: there , \: Mr.Panda \: ! } [/tex] ;)
♨[tex] \large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}: [/tex]
⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle ( [tex] \theta \: , \alpha \: ,\beta [/tex] ) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
☄ [tex] \large{ \tt{REMEMBER}} : [/tex]
[tex] \bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }[/tex][tex]\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }[/tex][tex] \bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }[/tex]In the above cases , [tex] \theta[/tex] is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ [tex] \large{ \tt{GIVEN}} : [/tex]
Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16✧ [tex] \large{ \tt{TO \: FIND} : }[/tex]
Value of tan [tex] \theta[/tex]✎ [tex] \large{ \tt{SOLUTION}} : [/tex]
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃ [tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex] [ Pythagoras theorem ]
[tex] \large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
[tex] \large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 324 - 256}}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 68}}[/tex]
[tex] \large{⇢ \sf{p = \sqrt{68}}} [/tex]
[tex] \large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}[/tex]
Okey, We found out the perpendicular i.e [tex] \tt{2 \sqrt{17}} [/tex] . Now , We know :
❊ [tex] \large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }[/tex]
[tex] \large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}} [/tex]
[tex] \large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}[/tex]
[tex] \large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}} [/tex]
⟿ [tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}} [/tex]
۵ Yay! We're done!
♕ [tex] \large\tt{RULE \: OF \:SUCCESS }: [/tex]
Never lose hope & keep on working ! ✔ツ Hope I helped!
☃ Have a wonderful day / evening! ☼
# StayInAndExplore ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
√(17)/8
Step-by-step explanation:
We are given with hypotenuse and base. We can have any ratio related to it, such as secant.
secA = hypotenuse/base
secA = 18/16 = 9/8
sec²A = 81/64
Using sec²A - 1 = tan²A
=> 81/64 - 1 = tan²A
=> 17/64 = tan²A
=> √(17)/8 = tanA
______________________
Using cosine of angle A.
cosA = base/hypotenuse
cos²A = (16/18) = (8/9)² = 64/81
sin²A = 1 - cos²A = 1 - 64/81 = 17/81
Hence,
tanA = √(tan²A) = √(sin²A/cos²A) = √((17/81)/(64/81)) = √(17)/8
This looks complex, either go with the 1st or one Or directly find the value of height using Pythagoras theorem,
18² = 16² + height²
√17 = height
tanA = height/base = √17/8
8. A car dealer buys a luxury car for $45,800, and sells it for $61,830. Find the percent of change.
A. 35%
B. 26%
C. -35%
D. -40%
Which situation is best represented by the equation y = 5x + 10?
Answer:
i will say its A
Step-by-step explanation:
-Cuántos números 2 veras si cuentas de del 10 al 22?
Answer:
12
Step-by-step explanation:
Which values are equivalent to the fraction below? Check all that apply.
Please help me
The answer choices are on the photo
Answer:
c
Step-by-step explanation:
hope this hellpppeedd
In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm
Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ3
What is the median of the following numbers: 9, 10, 4, 6, 3, 7, 8, 2, 5. 54 8 7 6
If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2
Answer:
Half of 20 is 10(new radius)
10^2(radius being squared) = 100
Next step is to multiply by pi
100π cm2
Step-by-step explanation:
Formula of area of a circle:
πr^2
pi x radius squared
Can someone help me
Answer:
Step-by-step explanation:
use the slope formula
Answer:
1) 3/2 2) 1 3)-5/3 4) 5/4 5) -5/9 6) 4/5 7) 8/5 8) 1/4 9) 1/2 10) 2/3 11) 0 12) -1/3 13) 1 14) -1
Step-by-step explanation:
2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
How to solve a linear equation
If two angles are alternate exterior, then both angles have the same measure. Thus, we have the following expression:
2 · x + 19 = x + 23 (1)
Now we proceed to solve for x:
x = 4
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
To learn more on linear equations: https://brainly.com/question/14695009
#SPJ1
How do you divide fractions?
Answer:
I'm about to share an image with you that explains how to divide fractions!!
Answer:
KCF (Keep Change Flip) 3/4 divided by 2/3. Keep 3/4 change the division sign to mulitplication and flip the 2 and the 3 to an improper fraction of 3/2 and then solve. Just remember KCF and you'll be good. I used to be trash at fractions and now I'm very good thanks to KCF.
Step-by-step explanation:
The Slow Ball Challenge or The Fast Ball Challenge.
The Slow Ball Challenge: There will be 7 pitches, each at 60 mph. Diego estimates
that he will hit each individual pitch 80% of the time. If Diego can hit all 7 pitches, he
will win a total of $60; otherwise he will lose $10.
The Fast Ball Challenge: There will be 3 pitches, each at 90 mph. Diego estimates
that he will hit each individual pitch 70% of the time. If Diego can hit all 3 pitches, he
will win a total of $60; otherwise he will lose $10.
Which challenge should he choose?
Fast: 4.68
Slow: 4.68
Fast: 14.01
Slow: 14.01
G
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
[tex]Pitches = 7[/tex]
[tex]P(Hit) = 80\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Fast Ball Challenge
[tex]Pitches = 3[/tex]
[tex]P(Hit) = 70\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 7[/tex] --- pitches
[tex]x = 7[/tex] --- all hits
[tex]p = 80\% = 0.80[/tex] --- probability of hit
So, we have:
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
[tex]P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}[/tex]
[tex]P(7) =1 * 0.80^7 * (1 - 0.80)^0[/tex]
[tex]P(7) =1 * 0.80^7 * 0.20^0[/tex]
Using a calculator:
[tex]P(7) =0.2097152[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.2097152[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 -0.2097152[/tex]
[tex]P(Lose) = 0.7902848[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.2097152 * \$60 + 0.7902848 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$20.48576[/tex]
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 3[/tex] --- pitches
[tex]x = 3[/tex] --- all hits
[tex]p = 70\% = 0.70[/tex] --- probability of hit
So, we have:
[tex]P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}[/tex]
[tex]P(3) =1 * 0.70^3 * (1 - 0.70)^0[/tex]
[tex]P(3) =1 * 0.70^3 * 0.30^0[/tex]
Using a calculator:
[tex]P(3) =0.343[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.343[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 - 0.343[/tex]
[tex]P(Lose) = 0.657[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.343 * \$60 + 0.657 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$27.15[/tex]
So, we have:
[tex]Expected = \$20.48576[/tex] -- Slow ball
[tex]Expected = \$27.15[/tex] --- Fast ball
The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.
whats the quadratic curve of best fit for the data. estimate what the value of will be when = −4.
(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)
Answer:
64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
Number 2
Step-by-step explanation:
Predation refers to a flow of energy between two organisms, predator and prey. In this interaction, the prey loses energy, and the predator gains energy
What are some numerical expressions for 9 times x?
Answer:
9x
9 • x
9(x)
9*x
I think that's what the question means?
Which line segment is congruent to BC?
GEOMETRY HELP PLS!!!
Answer:
PR
Step-by-step explanation:
A circular sheet was cut to make cone without a base of slant height equal to 7 m. If the net of the cone has a perimeter of 47 m, what percentage of the circular sheet of paper was used to make the cone?
a. 80%
b. 25%
c. 75%
d. 60%
Answer:
75%
Step-by-step explanation:
On a number line 8.29 would be located..... choose all answers that make the statement true
A)between 8 and 9
B) between 8.2 and 8.3
C) to the right of 8.39
D) between 8.28 and 8.30
Answer:
B and D
Step-by-step explanation:
D is being more detailed then A
please help!! i need 15 & 17!
Answer:
15. Answer: length = 15 ft; width = 3 ft
16. Answer: base = 14 cm; height = 5 cm
17. Answer: x² - 5x - 24 = 0
Step-by-step explanation:
15.
area of rectangle = length * width
length = x - 2
width = x - 14
area = (x - 2) (x - 14)
We are shown the area to be 45 ft².
We set the expression of the area equal to the given area and solve the quadratic equation for x.
(x - 2)(x - 14) = 45
x² - 14x - 2x + 28 - 45 = 0
x² - 16x - 17 = 0
(x - 17)(x + 1) = 0
x - 17 = 0 or x + 1 = 0
x = 17 or x = -1
We discard the negative answer, x = -1, since it would give negative length and width.
x = 17
length = x - 2 = 17 - 2 = 15
width = x - 14 = 17 - 14 = 3
Answer: length = 15 ft; width = 3 ft
16.
area = ½bh
area = ½(x - 5)(x - 14)
area = 35
½(x - 5)(x - 14) = 35
(x - 5)(x - 14) = 70
x² - 14x - 5x + 70 = 70
x² - 19x = 0
x(x - 19) = 0
x = 0 or x - 19 = 0
We discard x = 0 since it would give negative dimensions.
x = 19
base = x - 5 = 19 - 5 = 14
height = x - 14 = 19 - 14 = 5
base = 14
height = 5
Answer: base = 14 cm; height = 5 cm
17.
A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.
[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24
Answer: x² - 5x - 24 = 0
Please help me with this
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
A box plot is drawn with end points at 0 and 16. The box extends from 2 to 12 and a vertical line is drawn inside the box at 7
40
60
70
80
Answer:
It should be 40
Step-by-step explanation:I took the test
Answer:
40:)
Step-by-step explanation:
I don’t understand what to do because this is worded very strangely. Could somebody help?
In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are
summarized in the following table
Is there evidence that college students who don't own a car tend to not live on campus more than students who live on
campus?
A. Yes, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
B. Yes, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
C. No, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
D. No, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.