Answer:
1533.88261311522
Step-by-step explanation:
Let r be the radius of the (base/circle)
and L be the slant height of the cone
Formula ………………………………………………………………………………………………………
The surface area of a cone = the (curved/lateral) surface area + the base
[tex]=\pi r^{2}\ \ \ +\ \ \ \pi Lr[/tex]
=========================================
[tex]r=\frac{21}{2} =10.5[/tex]
L = BC = 36
[tex]\text{surface area} =\pi \left( 10.5\right)^{2} +\pi \times 36\times \left( 10.5\right)[/tex]
[tex]=346.360590058275 + 1187.52202305694[/tex]
[tex]=1533.88261311522[/tex]
What is the median of the data displayed in this box-and-whisker plot?
A.42
B.49
C.54
D.57
In 1923 a certain country underwent one of the worst periods in history of hyperinflation which is extraordinary really large inflation and prices. At the peak of the hyperinflation prices for the 16000 per cent per month at this rate by what percentage would prices have risen in one year? In one day?
The prices would have risen a total of 192000% in one year.
Calculation of hyperinflation rateThe percentage rate of inflation is = 16000% per month
Therefore for one year is
= 16000× 12( 12 months makes a year)
= 192000%
Therefore, prices would have risen a total of 192000% in one year.
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Is Figure B is a scale copy of figure A
Answer: yes figure b is a scale copy of figure a
Step-by-step explanation:
figure A: 10, 10, 5 which can simplify to 2, 2, 1 while keeping the same ratio
Find sin(A), cos(A), and tan(A) for the triangle pictured
Answer:
See below ~
Step-by-step explanation:
sin (A) = opposing side / hypotenuse
sin(A) = 5√29cos(A) = adjacent side / hypotenuse
cos(A) = 2/√29tan(A) = opposing side / adjacent side
tan(A) = 5/2 = 2.53 Westbrook Elementary has 12 classes participating in field day. Each class has 24 student teams of 6 to compete in each activity. What is the minimum number of teams needed fo participate? A) 45 B) 46 47 D) 48
Answer: D 48
Step-by-step explanation:
What is the sum of all the angles that are labeled?
Image of a full circle divided into five smaller angles. Four of these angles are known. The measurements are eighty degrees, ninety two degrees, forty degrees, and twenty three degrees.
Group of answer choices
225°
235°
Based on the information provided, the sum of all the labeled angles is 235° (option b).
How to calculate the sum of all labeled angles?To calculate the sum of all the labeled angles we must add the different values of each labeled angle as shown below:
80° + 92° + 40° + 23° = 235°
According to the above, it can be inferred that the correct option is B because the result of the sum of the values coincides with this sum.
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Find the number which has the greatest difference when its square is subtracted from this number.
The number is 1.
What is a square number?when a number multiplies itself the result is said to be the square of that number.
Analysis:
The square of 1 remains 1.
if you subtract the square of 1 from 1, you will have 0.
and zero is the greatest difference in this regard because every other number gives a negative result.
Example, 3 is a number, the square of 3 is 9. and 3 - 9 = -6 smaller than 0.
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0.5 is the number.
Explanation:Let the number be x,
When this number is subtracted from its square
x - x²
In order to find the greatest number, use vertex formula: x = -b/2a
Identify the following: a = -1, b = 1, c = 0
Hence solve, x = -1/2(-1) = -1/-2 = 1/2
So, the number is 0.5
Difference: (0.5) - (0.5)² = 0.5 - 0.25 = 0.25
hey can someone help me find the area pls
Answer:
16.12 mi²
Step-by-step explanation:
The formula for the area of a trapezoid is A = 1/2h([tex]b_{1} +b_{2}[/tex]), where [tex]b_{1}[/tex] stands for base 1, and [tex]b_{2}[/tex] represents base 2. Plugging in the given values, we have A = 1/2(3.1)(8.3 + 2.1). Now we can solve.
------------------------------
A = 1/2(3.1)(8.3 + 2.1)
1/2(3.1)(10.4)
1.55(10.4)
= 16.12 mi²
hope this helps!
Number 11 please. Need help
Answer:
11a. 3,117
11b. 33
Step-by-step explanation:
11a. -165 + 3217 + 65
The easiest way to do this would be,
-165 + 65 = -100 than -100 + 3217
-100 + 3217 is the same as 3217 - 100
-100 + 3217 = 3,117
11b. 173 + (-43) + (-97)
this is the same as 173 - 43 - 97
173 - 43 = 130 and 130 - 97 = 33
20 POINTS IF YOU ANSWER THIS!!
A $249 video game system is
discounted 15%. With 6%
sales tax, what would be the
final price of the system?
Answer:
$224.35
Step-by-step explanation:
The game is originally $249.
It's discounted by 15%, meaning it went down by 15%. 100% - 15% = 85%, so the new price is 85% of what it was before.
The sales tax is 6%, meaning the final price goes up by 6%. This means it would be 106% of what it was before.
85% = 0.85 of something
106% = 1.06 of something
[tex]249 \times 0.85 \times 1.06 = 224.349[/tex]
Now, we just round it to the nearest cent, which would give us $224.35
Whats the distance between each pair of points.
Find the distance between each pair of units.
Answer:
#1 is 5
#2 is 4
#3 is 3
#4 is 6
Step-by-step explanation:
I used a graphing calculator called Desmos.
In a dice game if you roll a 2, 4, or 6 you get the value of the die. If you roll as 1, 3, or 5 you lose $5. What is the expected value of the game?
Please Need help
Answer: -$0.5
Step-by-step explanation:
event Probability
+ $2 1/6
+ $4 1/6
+ $6 1/6
- $5 3/6
E(X) = (2*1/6)+(4*1/6)+(6*1/6)+(-5*3/6) = -$0.5
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:
[tex]nPr = \frac{14!}{11!} = 2184[/tex].
The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]nPr = \frac{n!}{(n-r)!}[/tex]
In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:
[tex]nPr = \frac{14!}{11!} = 2184[/tex].
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Two side lengths of a triangle measure 8
cm and 15 cm. Select all measurements that could be the length of the third
side of the triangle.
A) 23 cm
B) 7 cm
C) 8 cm
D 30 cm
E) 16 cm
F) 20 cm
G) 12 cm
H) 15 cm
Answer:
Correct option is C)
⇒ The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.
⇒ The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.
⇒ The difference between 4cm and 7cm is
3cm and their sum is 11cm.
⇒ To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.
⇒ So from the given options 6cm is less than
11cm and greater than 3cm
∴ The length of the third side of triangle is 6cm
Step-by-step explanation:
we have 23 marbles: 6 red marbles, 5 green marbles, 3 blue marbles, and 9 yellow marbles. We are drawing one marble from the bag. What is the probability of drawing a red or a yellow marble?
Answer:
15/23
Step-by-step explanation:
What is probability?
Probability in simple terms is the likelihood of something happening.
We can say that probability = # of favorable outcomes ( what we want to happen ) / total # of outcomes ( simply what's expected to happen )
Here, we want to find the probability of drawing a red or yellow marble.
So # of favorable outcomes = drawing a red or yellow marble and total # of possible outcomes would be simply the total number of marbles
Given:
There are 23 marbles totalThere are 9 yellow marbles There are 6 red marblesGiven this we can determine what the # of favorable outcomes are as well as how many total marbles are.
So in total there are 23 marbles, so total number of outcomes = 23
And there are 6 red marbles and 9 yellow marbles, so number of favorable outcomes = 6 + 9 = 15
Plugging these values into the probability formula we get 15/23
So the probability of drawing a red or yellow marble would be 15/23
Answer:
P(red or yellow marble)= 15/23
Step-by-step explanation:
If we have 23 marbles in the bag, 6 red and 9 yellow, we add the 6 and 9 to get 15. So there are 15 marbles that are red/yellow out of the 23 in the bag. This means the probability is 15/23. Hope this helps <3
Which expression is equivalent to 9(4 + r)?
Answer:
36+9r
by multiplying 9 &4 you get with 36. countinue multiplying and you also get 9r
Step-by-step explanation:
hope this helps
The ratio of girls to boys in a room is 3/4. What are other ways to represent this ratio? Select each correct answer. 3 to 4 3:4 4 to 3 4:3
Answer:
a) 3 to 4
b) 3 : 4
Given:[tex]\sf \dfrac{girls }{boys} = \dfrac{3}{4}[/tex]
Notice that girls = 3, boys = 4
So, Ratio of girls to boys can be rewritten as 3 : 4 and 3 to 4
Fractions are usually represented in ratio like
a/ba:ba to bSo
here
3/43:43 to 4A student researches the average cost of electricity, in cents per kilowatt-hour, in the United States since 2000 and creates the scatter plot
below
Electricity Costs
14
12
10
Cost per kilowatt-Hour
(cents)
8
2 4 6 8 10
Years Since 2000
Which of the following best models a linear function fitted to the data in the scatter plot?
A graph which best models a linear function fitted to the average cost of electricity (data) in the scatter plot is shown in the image attached below.
What is a linear function?A linear function can be defined as a type of function with an algebraic equation of the first order that has two (2) variables, with each of its term having an exponent of one.
In Mathematics, the resulting points of a scatter plot shows any association (correlation) between the data plotted on the graph.
Based on the average cost of electricity, a graph which best models a linear function fitted to the data in the scatter plot is shown in the image attached below.
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What is the value of x in the isosceles trapezoid below?
с
14x"
O A. 30
O B. 40
(3x+10)
А
B
O
C. 20
O D. 10
The sum of the opposite angle of the Isosceles trapezoid is supplementary. The value of x from the given diagram is 10
Isosceles trapezoidThe sum of the opposite angle of the Isosceles trapezoid is supplementary. According to the theorem;
14x + 3x + 10 = 180
17x = 180 - 10
17x = 170
Divide both sides by 17
17x/17 = 170/17
x = 10
Hence the value of x from the given diagram is 10
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34. x-y=3 Slope-Intercept Form
Answer:
y=x-3
Step-by-step explanation:
Slope intercept form: y=mx+b
x-y=3
-y=-x+3
y=x-3
The number of toys owned by eight classmates is shown below:
4, 3, 4, 5, 6, 6, 8, 4
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
PLEASE HELP. I WILL GIVE BRAINLIEST IF YOU DO PART B.
Answer:
A. 4+5/2= 6,5 mean
Step-by-step explanation:
I don't get the second question. Sorry! But at least I tried to help part A.
Answer:
Part A Answer: 5 Part B Answer: 1.25
Step-by-step explanation:
Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.
Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!
Tyler wants to buy some cherries at the farmer’s market. He has $10 and cherries cost $4 per pound. How many pounds of cherries could he buy?
pounds
Answer:
2-and-a-half pounds
10 / 4 = 2.5
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a face card for the second card drawn, if the first card, drawn without replacement, was a king? Express your answer as a fraction or a decimal number rounded to four decimal places.
The decimal value is approximate.
==========================================================
Explanation:
The face cards are Jack, Queen, King.
We have 3 face cards for each suit, and 4 suits, giving 3*4 = 12 face cards out of a 52 card deck.
The first card is a king, which is not put back. This means have 12-1 = 11 face cards left out of 52-1 = 51 cards left.
The probability of getting another face card is 11/51 = 0.2157 approximately
This is about a 21.57% chance
Note: if the first card was put back, or replaced with an equal copy, then the answer would be 12/52 = 3/13 = 0.2308 = 23.08%
Answer:
The probability of choosing a face card for the second card drawn if the first card was a king, drawn without replacement, is 11/663 or .0166.
Step-by-step explanation:
There are 52 cards and 12 of these are face cards.
The probability of drawing a king for the first card is the number of kings divided by the total number of cards:
4/52The probability of drawing a face card after the first card was drawn without replacement is:
11/51When we take the king card out of the deck, we remove 1 from both the denominator and the numerator since it is also a face card.Since these events are dependent (drawing without replacement), we can use this basic probability formula:
[tex]P(A \cap B)=P(A) \cdot P(B)[/tex]This formula tells us the probability of first drawing the king card, then drawing a face card afterward since 2 cards are being drawn. We must calculate the probability of both of these events occurring one after the other.
P(A) refers to the probability of getting a king on the first draw, 4/52, and P(B) refers to the probability of getting a face card on the second draw, 11/51.
Let's multiply these probabilities together.
[tex]\displaystyle \frac{4}{52} \cdot \frac{11}{51} =\frac{11}{663}=.0166[/tex]The probability of choosing a face card for the second card drawn, if the first card drawn without replacement was a king, is 11/663 or .0166.
(x-10)2 + (1 - 5)2 = 28
Radius:
Circumference:
1) Radius: 2√7
2) Center: (10, 5)
3) Circumference: 33.25
Explanation:(x-10)² + (x - 5)² = 28Circle formulae:
(x - h)² + (y - k)² = r²where (h, k) is the center coordinates, r is radius
Rewrite the equation into standard form:
(x-(10))² + (x - (5))² = (√28)²Identify following of the circle:
h = 10, k = 5, radius = √28 = 2√7In order to find the Circumference of circle:
Use the formula: 2π(radius)radius: 2√7
Circumference: 2π(2√7) = (4√7)π = 33.2475 = 33.25General equation
(x-h)²+(y-k)²=r²Now
(x-10)²+(y-5)²=28r²=28
r=√28r=2√7So
Circumference
2πr2(2√7)π4√7\piGIVING BRAINLIEST AND 50 POINTS plssss HELLPLPLLPLLPLLP Select all of the expressions that are equal to
8X35 THERE ARE MORE THAN 1 AWNSER
A 8X(30+5)
B 5+3x35
C (8X30)+(8X5)
D (8+30)+(8X5)
E 8X(20+15
Answer:
alA, C, E would all be correct
Step-by-step explanation:
the explanation is quite simple just put them all together they all come out to 280.
Answer:
A, C, E
Step-by-step explanation:
If we separate 35 into tens and units then:
8 × 35 = 8 × (30 + 5)
We can use the distributive property to expand the above:
8 × (30 + 5) = (8 × 30) + (8 × 5)
We can also separate 35 into 20 + 15:
8 × 35 = 8 × (20 + 15)
Therefore, the expressions that are equal to 8 × 35 are A, C and E
a bag contains 3 black,3 yellow ,2 green marble what is the probability
Answer:
1/8 for everything
Step-by-step explanation:
add all together and thats the probability
Define the binary operator ∇ by: a ∇ b = 4 Simplify each of the following. Do the order of operations (do what is in parentheses first). ( 4 ∇ 3 ) ∇ 6 = ( 7 ∇ 2 ) ∇ 5 =
Given that a ∇ b = 4, it doesn't matter what values you choose for a and b, the result of the ∇ operation is always 4.
So, unless your question is missing some additional details, we have
(4 ∇ 3) ∇ 6 = 4 ∇ 6 = 4
and
(7 ∇ 2) ∇ 5 = 4 ∇ 5 = 4
Which equation represents the relationship between x and y in the table above?
y=x+2
y= 3x
y=x+3
y=2x
Answer:
A
Step-by-step explanation:
when you look, you see the y value is always bigger by 2 than the x value.
so, the function is clearly to take the x value, add 2 to it and deliver this as the functional result (y value).
only A fits.
f(x)=4x 2 +2x+6 What is the value of the discriminant of f
Answer: -92
Step-by-step explanation:
discriminant formula: [tex]b^2-4ac[/tex]
[tex]f(x) = 4x^2+2x+6[/tex]
a = 4
b = 2
c = 6
[tex]b^2-4ac\\2^2-(4(4)(6))\\4-(96)\\4-96\\-92[/tex]
Since the discriminant equals -92, and -92 is less than 0, we know the equation will not have real solutions
Which of the following is NOT a skill-related fitness test?
A. The skin fold test
B. The alternate hand ball test
C. The ruler drop test
D. The stork and stand test
Option - A) The skin fold test .
Step-by-step explanation:
Skin fold test is not a skìll related fitness test. Skill related fitness test includes skills that person have to show by doings various tests. It includes various skills such as skill of reaction, skill of balancing, skill of catching, bouncing etc. _______________Skin fold test is a test to check the Lipids or thickness of the body .It is measured by Calipers.