We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.
When can we find the volume of a considered figure?For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.
Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.
Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?
Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.
Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.
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-4 (x +3) = 8 can somebody help me
Answer:
x= -5
Step-by-step explanation:
-4 (x +3) = 8
-4x - 12 = 8
-4x = 20
x= -5
The diameter of a circle is 6 centimeters. What is the circle's area?
Use 3.14 for pi
Step-by-step explanation:
diameter=
[tex]2 \times\pi \times r = 6 \\ r = \frac{6}{2 \times 3.14} = 0.955 \\ area = \pi \times {r}^{2} = 3.14 \times {0.955}^{2} \\ = 2.87\: {cm}^{2} [/tex]
When using a one-sample t-procedure to construct a confidence interval for the mean of a finite population, a condition is that the population size be at least 10 times the sample size. The reason for the condition is to ensure that the sample size is large enough the sample size is large enough A the central limit theorem is applicable for the sample mean the central limit theorem is applicable for the sample mean B the sample standard deviation is a good approximation of the population standard deviation the sample standard deviation is a good approximation of the population standard deviation C the degree of dependence among observations is negligible the degree of dependence among observations is negligible D the sampling method is not biased
Answer:
C. The degree of dependence among the observation is negligible.
Step-by-step explanation:
The conditions for performing a t-procedure when constructing a t-interval are;
1) The samples observation should be independent of each other
2) The use of a random sample or experiment for the procedure
3) Ensure the normality of the data of the dependent variable
Given that surveys usually involve sampling without replacement from a population which is finite can not be taken as independent Bernoulli trials however, it is allowable to still consider samples independent when they are less than 10% the size of population
Therefore, the reason for the condition is to ensure that the population to sample size ratio is large enough and that the degree of dependence among the observation is negligible.
Need help with the correct answer please! Thank you. Which two triangles are congruent by the SSS Theorem? I picked D but that is the wrong answer.
Answer:
B
Step-by-step explanation:
RQ=TV
QS=VU
RS=TU
While proving that 2 triangles are congruent you have to consider the same side for both triangles.
The mistake you made was that you presumed that since both have equal sides they are equal,
In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.
B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched
Happy to help :)
If you need any more help, you can ask me
What is measure of the missing angle? HELP
(2x - 7) + ( x + 4) = 90°
2x + x - 7 + 4 = 90°
3x - 3 = 90°
3x = 90 + 3
3x = 93
x = 93/3
x = 31°
▪2x - 7
= (2 . 31) - 7
= 62 - 7
= 55°
▪x + 4
= 31 + 4
= 35°
#CMIIWUse the number line below to determine which of the following answer choices has statements that are all true
Answer: the last one
Step-by-step explanation: B REPRESENTS
-2 ½ . POINT D REPRESENTS 1 ¾ .
1 ¾ is bigger than -2 ½
The answer choice that has the statement that is true about the number line can be seen in the first option.
What is a number line?A number line is a pictorial representation of lines on a calibrated straight line that serves as a basis for expressing real numbers on a straight line.
We should equally note that:
The left-hand side is the negative x-axis and,The right-hand side is the positive x-axis.From the given figures;
Point A lies to the negative axis direction on point scale 4 i.e -4Point D lies extremely to another point scale so we can say it is [tex]\mathbf{1 \dfrac{3}{4}}[/tex]Since 3/4 is roughly 0.75 = 1 + 0.75 = 1.75Therefore, we can conclude that Point A represents -4, Point D represents [tex]\mathbf{1 \dfrac{3}{4}}[/tex] and [tex]\mathbf{1 \dfrac{3}{4}}[/tex] > -4.
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In which step did Daniela make the first error?
PLEASE HELP THIS IS AN EMERGENCY!! Given f(x) = 3x2 - 6x + k, and the
remainder when f (x) is divided by X – 1
is 1, then what is the value of k?
Answer:
The values of
k are
(-4,2)
Step-by-step explanation:
sorry if wrong
Mark is putting a round fountain in his backyard. He decides to place bricks around the edge of the fountain. If the radius of the fountain is 1.5 feet, what is the length of the brick edge?
Answer: 9.42ft :)
Step-by-step explanation: Your Welcome!!!
Which trigonometric expression is to equal to the ratio 12/13 in the right triangle?
A. tan X
B. cos X
C. tan W
D. cos W
Answer:
[tex]\Huge\boxed{D}[/tex]
Step-by-step explanation:
Hello There!
To find the answer we want to find the trigonometric ratio for each answer choice
important note;
[tex]sin =\frac{opposite}{hypotenuse} \\\\cos=\frac{adjacent}{hypotenuse} \\\\tan=\frac{opposite}{adjacent}[/tex]
for A,
the opposite of angle X is 12 and the adjacent of angle x is 5
so [tex]tanX=\frac{12}{5}[/tex] therefore A is not the answer
for B,
the adjacent of angle x is 5 and the hypotenuse is 13
so [tex]cosX=\frac{5}{13}[/tex] therefore B is not the answer
for C,
the opposite of angle W is 5 and the adjacent of angle W is 12
so [tex]tanW=\frac{5}{12}[/tex] therefore C is not your answer
for D,
the adjacent of angle W is 12 and the hypotenuse is 13
so [tex]cosW=\frac{12}{13}[/tex] therefore D is your answer
Please help me with this
Answer:
Step-by-step explanation:
[Inequalities]
Please help and thanks. 1
write the inequality pls.
Answer:
1. x≥-2
2. x<-2
Step-by-step explanation:
Answer:
1. n≥=-2
2. n<=-2
Step-by-step explanation:
hope this helps!! <33
1) f(x)=(x - 3)(x - 5)
A f(x) = x2 - 8x+15
B. f(x) = x2 -15x-8
C. $(x) = x? - 8x-15
which is the equivalent?
Answer:
Step-by-step explanation:
f(x)= (x - 3)(x - 5)
f(x) = x^2 - 5x - 3x + 15
f(x) = x^2 - 8x + 15
Answer is A
You deposit 10,000 into a savings account that compounds quarterly. The account has an interest rate of 3.7%. What would be the value of the investment after 30 year
Answer:
30189.155
Step-by-step explanation:
Recall the compound interest formula :
A = P(1 + r/n)^nt
P = principal = 10000
r = rate = 3.7% = 0.037
n = quarterly = 4
t = 30
A = 10000(1 + 0.037/4)^30*4
A = 10000(1 + 0.00925) ^120
A = 10000(1.00925)^120
A = 10000 * 3.0189155
A = 30189.155
In a bowl there are 15 candy bars.
6 are Snickers
5 are Kit Kat
The rest of the candy bars are Milky Ways
If you eat a candy bar and then choose another candy bar, what is the probability that the first bar will be a Snickers and the second will be a Milky Way?
Answer:
The answer should be 10/27, good luck!
I need help in the answer it’s math
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Step-by-step explanation:
lolkyuhgt5jjnnnnnnneeeee
In the following equation, what number represents the y-intercept?
y = 2x – 10
1) 0
2) -1
3) 2
4) 10
Answer:
4) 10
Step-by-step explanation:
The number with x is slope and the other number is y-intercept so it's 10
What value of x satisfies this equation, x2−12=13?
Answer:x=5 and x=-5
Step-by-step explanation:
How many deli sandwiches did she make?
Please help me.
Answer: 6 sandwiches
Step-by-step explanation:
To get the amount of roast beef that Marissa used you would have to subtract 2 3/4 from 5...which is 2.25 pounds of beef that she used.
Then you would divide 2.25 by 3/8 which is 6... meaning Marisa made 6 sandwiches!
Kenya is trying to find matching socks. There are 4 red socks, 6 blue socks, and 2 white socks in her drawer. What is the probability that Kenya will pull out a blue sock, put it on, and then pull out another blue sock to put on?
Answer:
1/3 is the probaility
Step-by-step explanation:
since there are 3 different socks the answer would be 1/3
Answer:
The probability of her pulling of a blue sock the first time is 6 out of 12
The probability of her pulling out a blue sock the 2nd time would be 5 out of 11
10 POINTS PLEASE HURRY
Answer:
Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. When the circle is folded over a line of symmetry, the parts of the circle on each side of the line match up. This means that the parts of the circle on each side of the line must have the same area.
Step-by-step explanation:
What is 16% of 80?
PLEASE DO NOT SOLVE, I KNOW THE ANSWER IS 12.8. JUST WRITE A PROPORTION ON HOW YOU GET THE ANSWER
Answer:
12.8
Step-by-step explanation:
(16÷100)×80 = 12.8
what is the measurement of GAB
Step-by-step explanation:
option B 52 is the correct answer of this question.
plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.
In the equation: y=3x, what is the 3 called?
3 is the Coefficient in the following expression.
What is the value of this expression?
{12÷(9−6)}+4×6
Answer:
12/9-6+(4)(6)
=12/3+(4)(6)
=4+(4)(6)
=4+24
=28
Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?
Answer:
the desired range is 2 < t < 12.
Step-by-step explanation:
If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).
Since triangle ABC is acute, all its angles are between 0 and 90 degrees. So the third side can be 12 but not greater. The smallest possible length of the third side is 2, since 5 + 2 = 7.
Thus, the desired range is 2 < t < 12.
what is 1/10 (3n+50)=35?
Answer:
100
Step-by-step explanation:
1/10(3n+50)=35
3n+50=35*10
3n+50=350
3n=350-50
3n=300
n=300/3
n=100
5y + 3y + 5 ≤ ‐2(2y + 4) ( pls show work)
Answer:
y<-13/12
Step-by-step explanation:
12y<-8-5
12y<-13
I need number 1 and 2 and 3 and 4 pleaseeeeer
Answer:
this is a test im not helping
Step-by-step explanation:
Need help.
Find the value of each variable.