An oblique cylinder has a radius of 10 units and slant
length of 26 units.
What is the volume of the cylinder?
2,400 cubic units
2,500 cubic units
2,600 cubic units
2,700 cubic units

The volume of Duante's bedroom is 1080 cubic feet.

Given that, the area of the floor is 90 square feet, and the height of the bedroom is 12 feet.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

Volume of a rectangular prism = Area of a base × Height.

Here, volume of a rectangular prism = 90 × 12

= 1080 cubic feet

Therefore, the volume of Duante's bedroom is 1080 cubic feet.

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There were 100 student tickets sold

Step-by-step explanation:

The given is:

We need to find how many student tickets were sold

Assume that the number of student tickets is x and the number of adult tickets is y

∵ The number of student tickets is x

∵ The number of adult tickets is y

∵ They sold 300 tickets

∴ x + y = 300 ⇒ (1)

∵ The price of the student ticket = $4

∵ The price of the adult ticket = $6

∵ The total sales = $1600

- Add the prices of the students tickets and the adult tickets

  and equate the sum by the total sales

∴ 4x + 6y = 1600 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -6 to eliminate y

∵ -6x - 6y = -1800 ⇒ (3)

- Add equations (2) and (3)

∴ -2x = -200

- Divide both sides by -2

∴ x = 100

There were 100 student tickets sold

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Answer:

[tex]\large\boxed{slope=\dfrac{7}{2}=3.5}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (3, 1) and (5, 8).

Substitute:

[tex]m=\dfrac{8-1}{5-3}=\dfrac{7}{2}[/tex]

Answer:

[tex]\boxed{\bold{Slope \ \frac{7}{2} \ = \ 3.5 }}[/tex]

Explanation:

Slope Intercept Form: y = mx + b

Slope Formula: [tex]\bold{\frac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\bold{\left(x_1,\:y_1\right)=\left(3,\:1\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)}[/tex]

[tex]\bold{m=\frac{8-1}{5-3}}[/tex]

[tex]\bold{m=\frac{7}{2}}[/tex]

[tex]\bold{Slope \ in \ fraction \ form: \frac{7}{2} }[/tex]

[tex]\bold{Slope \ in \ decimal \ form: \ 3.5}[/tex]

Answer:

The midpoints are ( 6, 5 ).

Step-by-step explanation:

Given that the endpoints are  A ( 3, 7) and B (9, 3)-

As we know that-

If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex] ) and  ( [tex]x_{2}, y_{2}[/tex] then the mid points C are-  

C = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex], [tex]\frac{ y_{1} + y_{2}  }{2}[/tex]  )

Here,

A ( 3, 7 ) and B ( 9, 3 )-

Then the  midpoints C are-

C = ( [tex]\frac{ 3 + 9}{2}[/tex], [tex]\frac{ 7 + 3 }{2}[/tex] )

C= ( 12/2 , 10/2 )

C = ( 6, 5 )

Hence the midpoints are (6, 5).

Answer:

4.94

Step-by-step explanation:

Subtract

9.03 - 4.09 = 4.94

Hope this helps :)

Answer:

4.94

Step-by-step

9.03 - 4.09= 4.94

Answer:

1/3

Step-by-step explanation:

Answer: 96mm²

Step-by-step explanation:

c=31 mm

m=6mm

b=8mm

d=10mm

l=24 mm

-----------------------

c=31 mm

a=24+6=30 mm

b=8mm

A of ΔM=30*8/2=

120 mm²

A of ΔS=b*m/2=8*6/2=24mm²

Area od shaded triangle is=area of ΔM-area ofΔS=120-24=96mm²

The probability of drawing two green marbles, with replacement is [tex]\frac{9}{25}[/tex]

Given that There are 4 red and 6 green marbles in a jar

To find: probability of drawing two green marbles, with replacement

The probability of an event is given as:

[tex]\text {probability }=\frac{\text { number of favourable outcomes }}{\text { total number of possible outcomes }}[/tex]

Here total number of possible outcomes = 4 red + 6 green marbles = 10

Favourable outcome is drawing two green marbles with replacement

So favourable outcome = 6

So probabilty of choosing green marble:

[tex]probability = \frac{6}{10} = \frac{3}{5}[/tex]

Now given that with replacement, so we get

[tex]\text { probability }=\frac{3}{5} \times \frac{3}{5}=\frac{9}{25}[/tex]

Thus probability is [tex]\frac{9}{25}[/tex]

Answer:

OPTION A: [tex]$ \frac{1}{2^{15}} $[/tex]

Step-by-step explanation:

We should know that:

[tex]$ (a^b)^c = a^{b . c} $[/tex]

So, [tex]$ (2^3)^{-5} = 2^{3 . (-5)}} $[/tex]

[tex]$ = 2^{-15} $[/tex]

This is equivalent to [tex]$ \frac{1}{2^{15}} $[/tex]

Hence, OPTION A is the answer.

Answer:

53.33%

Step-by-step explanation:

(16/30)*100=0.5333333333*100=53.33%

Answer:53.3%

Step-by-step explanation:

Answer:

3a²  

Step-by-step explanation:

least common denominator of a² and 3a

a²  = a *a

3a = 3 * a

least common denominator = 3 * a*a =3a²  

Answer:

The answer is 3a², where a ≠ 0

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Rational expressions are 4/a² and 5/3a

2. Find the least common denominator for these two rational expressions.

Denominators of the expressions are:

a² and 3a ⇒ a² = a * a, 3a = 3 * a

The least common denominator will be:

3a², where a ≠ 0

3a²/a² = 3 and 3a²/3a = a

Answer:

Option A does not give the right expression.

Step-by-step explanation:

On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by  

d = |a - b| ......... (1)

which is independent of the position of the points.

Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by  |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by  |7.4-3.5|.

Hence, option A does not give the right expression. (Answer)

Answer:

-13x + 6y

Step-by-step explanation:

combine like terms

-7x + 6y - 6x

-7x - 6x = -13x

-13x + 6y

Answer:

Step-by-step explanation:

-7x+6y-6x

Solution:

Put like terms together from left to right; that is the equation will assume a new order from -7x+6y-6x to

-7x-6x+6y

Sum the figures with like terms

= -13x+6y (answer)

a)The scale of the number line is 1 unit represents 8 units.

b) On both x and y axes 1 unit represents 4 units.

How to find scale of a graph.

a) The difference between 64 and 32 is

= 64 - 32 = 32

On the number line there are 4 divisions between 32 and 64

Each division = 32/4 = 8

Therefore,the scale of the number line is 1 unit represents 8 units.

b) vertical axis (y axis)

From 0 to 12 there are 3 divisions

Each unit of the division = 12/3 = 4

Therefore, 1 unit represents 4 units on the y axis.

Horizontal axis (x axis)

From 0 to 20, there are five divisions

Each division = 20/5 = 4

Therefore, each 1 unit of division represents 4 unit

Complete question

Answer:

1/3

Step-by-step explanation:

The slope of a line in slope-intercept form, y=mx+b, is m.

This means the slope of y=-3x-2 is -3.

If a line is perpendicular to the one given, it will have the opposite reciprocal slope.

The opposite of -3 is 3.

The reciprocal of 3 is 1/3.

Therefore, the opposite reciprocal of -3 is 1/3.

Answer:

48 units cubed

Step-by-step explanation:

length × height × width

4 × 6 × 2 = 48

Answer: -9r+3

Step-by-step explanation:

In order to simplify this expression, all you have to do is combine the like terms. However, because there is an addition and a subtraction sign next to each other, we have to multiply them together to find which sign will stay.

Positive x Positive = Positive

Positive x Negative = Negative   <---

Negative x Negative = Positive

Because we know that multiplying a negative sign by a positive sign will give us negative, we have to keep the subtraction sign and remove the addition sign. This leaves us with 4-9r-1. All that is left to do is simplify.

Combine the like terms: 4-1 = 3

Answer: -9r+3

Hope this helps!

Answer:

Step-by-step explanation:

Group Like Terms:

A: -9r + 4 - 1,

Add/Subtract numbers:

If you have any questions feel free to comment below.

Best of Luck to you.

Answer:

Step-by-step explanation:

It will take you 2 hours since ur going 70 mph divide the 140 mph by 70mph . Hope this helps :)

Answer:

There will be no pieces of paper left over. Each student will receive 15 pieces of paper.

Step-by-step explanation:

If you divide the 345 pieces of paper between the 23 classmates, you will end up with 15. There is no remainder or decimal, just 15, a whole number. That means that there will be no pieces of paper left over.

Answer:

Step-by-step explanation:

X={0,12,23}

Y={3,12,15}  

X \ Y = { 0 , 23}

X/Y means the element should be only in X. We have remove the element in X if it is in Y

In this 0 and 23 is only in X

12 is X and Y. So it wont come in X/Y

The set X \ Y represents the difference of two sets, indicating all the elements that are in set X but not in set Y. For X={0, 12, 23} and Y={3, 12, 15}, the elements that are in X but not in Y are '0' and '23', so X \ Y = {0, 23}.

In set theory, the notation X \ Y represents the difference of two sets. This indicates all the elements that are in set X but not in set Y. In this case:

X={0, 12, 23}, Y={3, 12, 15}

So the elements that are in X but not in Y are '0' and '23'.

Therefore, X \ Y = {0, 23}.

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Answer:

b.18

Step-by-step explanation:

18/4=4.5

Answer: The answer would be b, or 18. 4x4.5 is 18, but you are not multiplying it by a whole number. so it CAN'T be B.

Hope this helps!

Answer:

x<103/40

Step-by-step explanation:

-13(6x-15)+6x>8x-11

-78x+195+6x>8x-11

-78x-8x+6x+195>-11

-78x-2x>-11-195

-80x>-206

80x>206

x>206/80

x>103/40

x<103/40

when rounding up, decimals tend to lose accuracy, thus the rounding, due to that, fractions will always be the most accurate to represent the value, but let's go ahead

3/5 = 0.6 <- rounded up to one decimal

3/4 = 0.75

      = 0.8 <- rouned up to one decimal as well

if we add them up 0.6 + 0.8 = 1.4.

[tex]\bf \cfrac{3}{5}+\implies \cfrac{3}{4}\implies \stackrel{\textit{using an LCD of 20}}{\cfrac{(4)3+(5)3}{20}}\implies \cfrac{12+15}{20}\implies \cfrac{27}{20} \\\\\\ 1.35\implies \stackrel{\textit{rounded up}}{1.4}[/tex]

in this case, rounding up each result to 1 decimal, we end up with the same value, mind you that the instructions never said to round it to a certain amount of decimal places, if we do round it to two decimal places, the value will be 1.35 for both cases, and accurate on each.

Answer:

Step-by-step explanation:

(2/5 * 30) * 6^2 - 3^2           Reduce 2/5 * 30

180 * 6^2 - 3^2                    Raise the bases of the power

180 *36 - 9                           Multiply 36 and 180

6480 - 9                               Subtract 9

6471

Answer:

Draw a line on you paper, go to the start of the line and place your Protractor. Look for the 40 degree mark and place a little slash there. Take away the protractor and draw a line going through the slash. (Use a ruler too)

Step-by-step explanation:

For this you need a protractor

Joanie used a protractor to draw the angle 40° that Joanie will use on her map​ can follow the steps provided here.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Steps of Construction:

1. Draw ∠BAC=40° using protractor. By taking A as Centre draw an arc which cuts AB and AC at P and Q.

2. Now take O as centre on another line segment EF and taking the same radius PQ draw an arc which cuts OF at R. Now again take R as Centre and draw the arc which cut at S.

3. Join O to S which is the required ∠ROS=40°.

Therefore, Joanie used a protractor to draw the angle 40° that Joanie will use on her map​ can follow the steps provided here.

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Answer:

d.) 81

Step-by-step explanation:

f(2) would be 27 and 27x3 is 81.

81/3=27

27/3=9

Answer:

81

Step-by-step explanation:

For the recursive function, f(n+1) = one-half(n)

Thus, when n = 2,

f(3) = 9

If n = 1,

f(2) = 9×3

f(2) = 27

If n = 0,

f(1) = 27 ×3

f(1) = 81

Answer:

Part 1) [tex]-\sqrt{15}[/tex]

Part 2) [tex]x=\frac{b+ac}{2c-ab}[/tex]

Step-by-step explanation:

Part 1) we know that

To put factor back into the square root, we have to put squared value

we have

[tex]-5\sqrt{0.6}[/tex]

Remember that

[tex]5=\sqrt{5^2}[/tex]

substitute in the expression above

[tex]-5\sqrt{0.6}=-\sqrt{(5^2)(0.6)}=-\sqrt{25*0.6}=-\sqrt{15}[/tex]

Part 2) we have

[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]

Solve for x

That means----> Isolate the variable x

Multiply in cross

[tex](2x-a)c=(ax+1)b[/tex]

Apply distributive property

[tex]2cx-ac=abx+b[/tex]

Group terms

[tex]2cx-abx=b+ac[/tex]

Factor x left side

[tex]x(2c-ab)=b+ac[/tex]

Divide by (2c-ab) both sides

[tex]x=\frac{b+ac}{2c-ab}[/tex]

===============================================

How I got that answer:

r = radius

h = height

LA = lateral surface area of cylinder

LA = 2*pi*r*h

Let's find the lateral surface area of each silo. The smallest lateral surface area will lead to the lowest total cost.

-------------

Silo A

LA = 2*pi*r*h

LA = 2*pi*6*60

LA = 720pi

-------------

Silo B

LA = 2*pi*r*h

LA = 2*pi*8*50

LA = 800pi

-------------

Silo C

LA = 2*pi*r*h

LA = 2*pi*10*34

LA = 680pi

-------------

Silo D

LA = 2*pi*r*h

LA = 2*pi*12*20

LA = 480pi

-------------

If we ignore the "pi" terms for each of the four answers above, we see that 480 is the smallest value. Silo D has the smallest lateral surface area at 480pi square feet.

-------------

Side note: to determine the total cost, you multiply the surface area by the cost per square foot ($1.20)

For example, the total cost to paint silo D is

cost = (surface area)*(price per square foot)

cost = (480*pi)*(1.20)

cost = 1809.557

cost = 1809.56

This section is optional as your teacher isnt requiring you to find the actual costs, but rather just the silo with the least amount of area. You could go the longer route to find each surface area, compute the total cost, and then compare the total costs. You should find that silo D's cost is the lowest.