Answer:
29.30cm^3Step-by-step explanation:
If the two cone are similar then the heights are the same
let us find the height of the bigger cone
[tex]volume of cone= \frac{1}{3} \pi r^2h[/tex]
For the bigger cone
r= 3cm
v= 66cm^3
[tex]66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm[/tex]
For the smaller cone
r=2cm
v=?
h=7cm
[tex]v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3[/tex]
Answer:
19.6
Step-by-step explanation:
[tex]66=(\frac{3}{2} )^{3} =\frac{27}{8}[/tex]
[tex]\frac{66 x8}{27} = 19.5555555556=19.6[/tex]
[tex]x=[/tex] · [tex]( multiplication symbol )[/tex]
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half of the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Answer:
C
Step-by-step explanation:
PLATO
So, sin E=0.5. Therefore, option C is the correct answer.
Given that, AB║DE and sinA= 0.5.
We need to find the value of sin E.
How to find the value of sin?The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.
Now, sinA = 0.5
⇒∠A=30°
∠A=∠E=30° (∵∠A and ∠E are alternate angles)
Therefore, option C is the correct answer.
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The points (-3, 5) and (3,5) are two verticles of a square. list all other order pairs that could be the other two verticles of the square.
Answer:
((-3,-1),(3,-1)),((-3,11),(3,11))
Step-by-step explanation:
The distance between the two vertices is 6
So, add 6 and minus 6 to the y coordinates.
Answer:
( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )
Step-by-step explanation:
Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );
[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]
If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;
[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]
[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]
Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;
[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]
[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]
Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )
Please help guys please
Answer: The answer is A
Step-by-step explanation:
For a polynomial function y = f(x), where f(1/3)=0, one of the factor would be
Answer:
(x-1/3) is one of the factors
Step-by-step explanation:
Using the reverse of the zero product property
(x-a) = 0 where a is one of the roots
x-1/3 = 0
(x-1/3) is one of the factors
Answer:
x-1/3) is the answer
Step-by-step explanation:
zero product property
What is the value of x?
0
va units
1v3 units
2/3 units
3/2 units
Answer:
Step-by-step
In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form. explanation:
Factorise 28x+30......
Answer:
2(14x +15)
Hope it helps
......
What is the slope of the line whose equation is
y = - 3x + 6?
A. -1/2
B. 2
C. -3
D. 6
Answer:
-3
Step-by-step explanation:
Because it is multiplied by x
Answer:
C. -3
Step-by-step explanation:
The equation of the line is in point slope form.
y=mx+b
where m is the slope and b is the y-intercept.
The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.
We have the equation:
y=-3x+6
-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.
Therefore, the slope is -3 and the y-intercept is 6.
Since -3 is the slope, C is the correct answers.
PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.
Answer:
Angle
Step-by-step explanation:
*
1. Find the measure of the indicated angle to the nearest degree.
?
O A. 31
O B. 51°
O C.37°
O D. 59°
Answer:
The answer is 37° (C)
Step-by-step explanation:
Solve for x in the diagram below.
200
(3x + 10°
Answer:
x = 20°
Step-by-step explanation:
4x + 10 = 90
4x = 80
x = 20
Answer:
[tex] \boxed{x\degree = 20\degree} [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]
X-9 = -27
2
0-24
0-12
11
O 12
______________________________
Hey!!
Solution,
x-9=-27
or, X= -27+9
x=-18
So the value of X is -18
hope it helps..
Good luck on your assignment
__________________________
Help……………………………………….
Answer:
The second option
Step-by-step explanation:
Adding n to the x inside of the parentheses moves the graph n units to the left
Answer:
5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.
Step-by-step explanation:
pls help me with this if you know it also to explain it thanks Solve the equation -21 + 70n = 77 for n.
Answer:
n = 1 2/5
Step-by-step explanation:
-21 + 70n = 77
Add 21 to each side
-21+21 + 70n = 77 +21
70n = 98
Divide each side by 70
70n/70 = 98/70
n =98/70
n = 70/70 +28/70
n = 1 + 2/5
n = 1 2/5
Answer:
This would also be known as 7/5
Step-by-step explanation:
The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!
pls help me with my work
Answer:
I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.
Step-by-step explanation:
The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor
Answer:
477 yards
Step-by-step explanation:
1 foot to a yard is 0.333333.
1431 times 0.333333=477yards
Order these numbers from least to greatest.
1.4, 1.103, 1.1322, 1.13
Answer:
1.103,1.13,1.1322,1.4
Step-by-step explanation:
find the decimal places and u can figure out with they are greater than this decimal or less
Answer:
1.103, 1.13, 1.1322, 1.4
Step-by-step explanation:
hope that helped:D
Hello, i would love help since math is my worst subject ;
Answer:
4,5,6
Step-by-step explanation:
(x)+(x+1)+(x+2)= 15
3x + 3 = 15
3x = 12
x = 4
Answer:
Three consecutive numbers are: 4, 5, 6,
Step-by-step explanation:
Let three consecutive numbers be x , (x +1) , (x +2 )
x + x + 1 +x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Three consecutive numbers are: 4, 5, 6,
Given a normal distribution of the lengths of wing-spans of a certain butterfly has a mean of 20 mm and standard deviation 3.5 mm. Find, ROUNDING YOUR ANSWERS TO 4 DECIMAL PLACES. A) What wing-span has an area of 0.1005 on it left side under the standard normal curve? B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
Answer:
a) 15.52mm
b) 25.8275mm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.
A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?
This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = -1.28*3.5[/tex]
[tex]X = 15.52[/tex]
This wing-span is 15.52mm.
B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.665 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = 1.665*3.5[/tex]
[tex]X = 25.8275[/tex]
This wing-span is 25.8275mm.
It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)
Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
PLEASE HELP!!Write an algebraic expression to represent the following verbal expression.
eight more than the product of a number and 100
Select one:
O a. 100x + 8
O b. 100x - 8
O c. 100 + 8x
O d. 8 - 100x
Answer:
work is pictured and shown
An expression to represent the given verbal expression is,
⇒ 100x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The verbal expression is,
''Eight more than the product of a number and 100.''
Let an number = x
So, We can formulate;
⇒ Eight more than the product of a number and 100.
⇒ 8 + x × 100
⇒ 8 + 100x
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Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushups until he is doing a total of 303030 pushups each day. Which equation can we use to determine xxx, the number of days that it will take Keenan to reach his goal? Choose 1 answer: Choose 1 answer:
Answer:
222x + 888 = 303030
Step-by-step explanation:
If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.
Hope this helps!
Answer:
8+2x=30
Step-by-step explanation:
did it on khan its correct
I NEED HELP! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER + 30 POINTS!!!!
Answer:
l = 20 cm
w = 12 cm
Step-by-step explanation:
P = 64 = 2w + 2l
2w = 4 + l
64 = 4 + l + 2l
64 - 4 = 3l
3l = 60
l = 20 cm
2w = 20 + 4
2w = 24
w = 12 cm
Please help! Correct answer only please! I need to finish this assignment by today.
Sweet Dreams Bakery recently sold 4 brownies and 14 other desserts. What is the experimental probability that the next dessert sold will be a brownie?
Simplify your answer and write it as a fraction or whole number.
P(brownie) =
Answer:
2/9
Step-by-step explanation:
If the bakery sold 4 brownies and 14 other desserts, then they sold a total of +14=18 desserts. This means that the experimental probability that the next dessert is a brownie is 4/18=2/9. Hope this helps!
Yoooooo help me out pls
-ayyyyy
Answer:
probably a. metres
Step-by-step explanation:
hectometres are huge and the other two are super small so thats my guess lol
Answer:
Step-by-step explanation:
A square meters-
Millimeters are super small
And the other ones are to huge
Dats easy
Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of sugar, how many teaspoon of salt will she need?
Answer: B. 3 3/4
Step-by-step explanation:
From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:
= 1/2 × 1 1/2
= 1/2 × 3/2
= 3/4 teaspoon of salt.
We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:
= 3/4 × 5
= 15/4
= 3 3/4
85 percent of 2500cm
Answer:
2125
Step-by-step explanation:
of means multiply
85% * 2500
Change to decimal form
.85* 2500
2125
Factor completely. 7 +14 x + 7 x^2
Answer:
(7x+7 )(x+1 )
Step-by-step explanation:
7x²+14x+7
(7x+7 )(x+1 )
7x²+7x+7x+7
7x²+14x+7
Answer: 7(1+x)^2
Step-by-step explanation: I got it wrong because of that person at the top your welcome
Angle sum theorem
25°
30°
Answer:
x = 125°
y = 180-125 = 55°
Step-by-step explanation:
The angles should sum to 180 in a triangle.
Since the other two are 25 and 30, for the third one, 180-25-30 = 125 is left, which is x.
Now y and x are supplementary angles, which means that x+y is also 180°.
So y = 180-x = 55°
Answer:
y = 55°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 25° + 30° = 55°
Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n
Answer:
(2n + 1)[(2n + 1) � 1]
(2n + 1)(2n + 1 � 1)
(2n + 1)(2n), or 2n(2n + 1)
2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number
Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER
Step-by-step explanation: