the perimeter of the rectangle shown is 76 cm. it is rotated about line b.
which best describes the resulting three-dimensional figure?
•a cone with a base radius of 26cm
•a cone with a base radius of 14cm
•a cylinder with a base radius of 26cm
•a cylinder with a base radius of 14cm
Answers
If a rectangle is rotated about the line b, then the three-dimensional figure formed is cylinder with a circle base.
One side of the rectangle has lenght of 24 cm. Let the second side has length of x cm. The perimeter of the rectangle is 76 cm, then
24 + x + 24 + x = 76,
2x + 48 = 76,
2x= 76 - 48,
2x= 28,
x = 14 cm.
Then the three-dimensional figure is a cylinder with a base radius of 14 cm.
Answer: correct choice is D
Answer: •a cylinder with a base radius of 14cm
Step-by-step explanation:
From the given picture it can be seen that the side of rectangle is adjacent to line B is the longer side.
If the rectangle is rotated about line b, then it will create a cylinder such that
the radius of the cylinder= smaller(width) side of the rectangle
The measure of the longer side (length) of rectangle= 24 cm
Perimeter of rectangle=[tex]2[length+width][/tex]
[tex]\\\Rightarrow\ 76=2[24+w]\\\Rightarrow\ 24+w=38\\\Rightarrow\ w=14[/tex]
hence, the measure of smaller side is 14 cm.
Therefore, the base radius =14 cm
Related Questions
Given that x is a positive number, Niram conjectured that x3>x2 .
What value is a counterexample to Niram's conjecture?
−5
110
1
5
Answers
An ion has a charge of +7. How far is it from being neutral?
A. -0.07
B. -7
C. 7
D. 70
E. 0.7
Answers
Your answer is E. Sorry if wrong hope this helped
(Might be wrong!)
Answer:
B. -7
Step-by-step explanation:
An atom has a neutral charge with equal numbers of positive and negative particles,
That is, an atom with no chargen or 0 charge is called neutral.
Given,
The ion has a charge of +7,
Also, + 7 - 7 = 0,
Thus, for being neutral the ion needs -7 charge,
Hence, option 'B' is correct.
In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance? In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?
Answers
Answer:
The weight loss program is statistically significant.
Step-by-step explanation:
We can define a statistically significant difference or result as a result which is not attributed to chance. In other words we can say that a statistical significance shows if the difference observed between groups is real or if it has occurred simply due to chance.
Here, given is that 40 subjects lost a mean of 3.0 lb after 12 months.
So, here the weight loss program is statistically significant as the results are unlikely to occur by chance.
Please help me with this!!
Answers
--------------------------------
Explanation:
The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65
To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on
Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on
Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer
The drama club can wash 9 cars in 40 minutes. At this rate, how many cars can they wash in 2 hours?
Answers
2Hr=120min 120/40=3 9*3=27
they can wash 27 cars in 2 hours
A set of positive and negative rational numbers are shown. 715 , –215 , 1115 , 415 , –815 What is the difference between the largest and the smallest numbers in the list?
Answers
The smallest -815
to get the range, subtract smallest from largest
1115 - (-815) = x
x = 1930
The difference is 1930
hope this helps
Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.
Answers
The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.
The ratio of female students to the total number of students:
11 female students to 21 total students: 11/21
Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?
n; n - 4; 4n
n; 4 - n; n + 4
n; n/4; n + 4
Answers
"The sum of three numbers is 62..." translates to the expression:
? + ? + ? = 62
We aren't given any modifications to the first number, so let's just pick a variable n to represent it.
n + ? + ? = 62
The second number is "equal to the first number diminished by 4. We can interpret "diminished by 4" as meaning "subtracted by 4," so we now have:
n + (n - 4) + ? = 62
And finally, we have that the third number is "four times the first," which evidently implies multiplication of the first number by 4. Which gives us:
n + (n - 4) + (4n) = 62
At this point, we don't even need to solve for n, since we already have our three expressions, and those are n, n - 4, and 4n.
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
Enter your answer in the box.
Answers
Answer:
the slope is 3/4
Step-by-step explanation:
the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
The given line equation is:
3y = -4x + 2
Express the equation in the point-slope form of a line equation
The point-slope form of the equation of a line is y = mx + c
where m represents the slope
and c represents the y-intercept
3y = -4x + 2
[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]
Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:
The slope, m = -4/3
The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:
[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
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Which is the quadratic variation equation for the relationship y varies directly with x^2 and y=72 when x=3
Answers
y =72
x = 3
X^2 = 3^2 = 9
k = y/x = 72/9 =8
so you should have an option of:
y =8x^2
Thursday is 3 days before 2 days before today. what was yesterday?
Answers
Thursday is 3 days before 2 days before today.
So Thursday was 5 days ago..
5 days after Thursday is tuesday
If today is tuesday tomorrow is wednesday
"Thursday is 3 days before 2 days before today. "
This means Thursday is 5 days before Today.
So, what is 5 days after Thursday?
It is Tuesday [which is Today].
If today is Tuesday, what was yesterday? It was Monday.
ANSWER: Monday
What is 2(6+5•2)=5(4-2•5)
Answers
..................................
Answer: Not true
Step-by-step explanation: 2(16)=5(-6)
32=-30
This is not true
A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.
Answers
Work:
Prob(ace or black card)= Prob(ace) + Prob(black card) - P(ace and black card)
=4/52 + 26/52 -2/52
=28/52
The probability that the card is an ace or a black card is 7/13
Probability is the likelihood or chance that an event will occur.
A standard card contains 52 cards. Hence the total outcome is 52.
Since there are 4 aces, the expected outcome is 4The total number of black cards is 26The total card that is ace and black is 2Get the required probability;
Prob(ace or black card) = Prob(ace) + Prob(black card) - P(ace and black card)
Prob(ace or black card) = 4/52 + 26/52 -2/52
Prob(ace or black card) = 28/52
Hence the probability that the card is an ace or a black card is 7/13
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What is the value of x
Answers
This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.
How do we find the missing angles?
The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.
We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.
Well, all we have to do is follow the rules.
They say we need to add all the angles together.
40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
The correct answer is 70.
----------------------------------
Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180
I hope this helps!
Dani is working a sample booth at the national soda and beverage convention. She is paid $1.50 for each of the first ten tastings $2.50 for each of the next twenty tastings and $4.00 for each tasting beyond thirty she conducts each day. Today Dani conducted 36 tastings. How much total pay did Dani earn today?
Answers
10 tastings are in the category of the first 10 tastings.
10 * $1.50 = $15.00
36 - 10 = 26
Out of the remaining 26 tastings, 20 are int eh category of "the next 20 tastings."
20 * $2.50 = $50.00
This accounts for 10 + 20 = 30 tastings.
36 - 30 = 6
She did 6 tastings beyond the 30 tastings, so for the last 6 tastings, she gets paid
6 * $4.00 = $24.00
The total pay is:
$15.00 + $50.00 + $24.00 = $89.00
Complete the point-slope equation of the line through (-4,8) and (4,4)
Answers
[tex]y-y_{1} = m(x-x_{1})[/tex]
First, we need to find the m value, or slope. We can do this by using this equation:
[tex]y_{2} - y_{1 }= x_{2} - x_{1}[/tex]
4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2
Now, select one of the coordinate points, input those values and m, and solve for b.
4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b
y = -1/2x + 6
Now, input any number for x (I prefer 0, the y-intercept), and solve for y.
y = -1/2(0) + 6
y = 6
(0, 6)
After doing that, you can input that coordinate point into Point-Slope Form.
y - 6 = -1/2(x - 0)
Answer:
Step-by-step explanation:
How many solutions are there?
Answers
Factor this expression: ab + 4 + a + 4b
Answers
Grouping method works best on this one:
ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)
Answer:
Grouping method works best on this one:
ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)
Step-by-step explanation:
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
Answers
we know that
The equation of the line into slope-intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]2x+3y=6[/tex]
Isolate the variable y
[tex]3y=-2x+6[/tex]
[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]
[tex]y=-\frac{2}{3}x+2[/tex]
the slope is [tex]m=-\frac{2}{3}[/tex]
the y-intercept is [tex]b=2[/tex]
the answer in the attached figure
The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2
A linear equation is given by:
y = mx + b;
Where y,x are variables, m is the slope of the line and b is the y intercept.
Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:
2x + 3y = 6
3y = -2x + 6
Dividing through by 3:
y = (-2/3)x + 2
The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2
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How to solve it using the system of substitution
Answers
How to tell if an equation has no solution without solving?
Answers
x+3=5+x-2
find an angle measure that is supplementary to this angle 126 degrees
Answers
Answer:
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
The sum of the measures of two supplementary angles is 180°.
180° - 126° = 54°
Answer: 54°
At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item
Answers
Y -2 > -11 what is the answer to this
Answers
150 adults complete a survey. 80 are women. Write the ratio men:women in its simplest form?
Answers
Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.
Given :
Total number of adults = 150.
Total number of Women = 80.
Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:
Step 1 - Let the total number of men be x.Step 2 - Now, the total number of adults is 150 that is:150 = x + 80 ---- (1)
Step 3 - Subtract 80 from both the sides of the equation (1).150 - 80 = x + 80 - 80
70 = x
Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:
[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]
[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]
So, the ratio men:women in its simplest form is 7:8.
For more information, refer the link given below
https://brainly.com/question/22687297
The coefficients of the expression 5x^4-4x^2+3 are??
Answers
A ray that contains a point that is equidistant from both sides of the angle. *
Answers
Find the point on the line y = 92x closest to the point (1, 0)
Answers
[tex]L=\sqrt{(x-1)^2+(92x-0)^2} \\ \\ =\sqrt{x^2-2x+1+8464x^2}=\sqrt{8465x^2-2x+1}[/tex]
For shortest distance,
[tex] \frac{dL}{dx} =0[/tex]
[tex] \frac{dL}{dx} =0 \\ \\ \Rightarrow \frac{16930x-2}{2\sqrt{8465x^2-2x+1}} =0 \\ \\ \Rightarrow16930x=2 \\ \\ \Rightarrow x= \frac{1}{8465} [/tex]
and [tex]y=92\left(\frac{1}{8465}\right)=\frac{92}{8465}[/tex]
Therefore, the required point is [tex]\left(\frac{1}{8465},\ \frac{92}{8465}\right)[/tex]
5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the plywood.
Answers
You would multiply the width (w) by 5 because it's 5 times more than twice it's width. Then w (Width) would be to the power of 2 because it's 5 times more than twice its width. And this will all equal the Area (a)
How to turn a repeating decimal into a fraction 0.1515?
Answers
take the first 2 numbers and put them over 99
so 0.151515 would become 15/99