Which statements are true about finding the volume of the soup cans? Check all that apply.
A) The diameter is squared to find the area of the base of a cylinder.
B) The volume is the area of the base times the height.
C) Given the radius or the diameter, you can calculate the area of the base of a cylinder.
D) The height of a cylinder is the distance between the 2 parallel bases.
E) The radius is half the distance of the height.

Answers

Answer 1

Answer:

the answers are B, C, and D.

Answer 2
Answer:

The given item soup can is a cylinder.

The volume of the cylinder is given as :

[tex]V=\pi r^{2} h[/tex]

Here 'h' is the height and 'r' is the radius.

So, the true statements are:

B) The volume is the area of the base times the height - The base of the cylinder is circular and the area of the circle is [tex]\pi r^{2}[/tex], so the volume is the area of base multiplied by height.

C) Given the radius or the diameter, you can calculate the area of the base of a cylinder - Yes as the area is [tex]\pi r^{2}[/tex] where 'r' is the radius.

D) The height of a cylinder is the distance between the 2 parallel bases. Yes this is right.


Related Questions

Need help:(.... Simplify (b^5)^2

Answers

b^10 would be the correct answer :)

For this case we must indicate an expression equivalent to:

[tex](b ^ 5) ^ 2[/tex]

We have that by definition of properties of powers that is fulfilled:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

Now, we can rewrite the given expression as:

[tex](b ^ 5) ^ 2 = b ^ {5 * 2} = b ^ {10}[/tex]

ANswer:

[tex]b^{10}[/tex]

Option A

Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.

Answers

Answer:

860.55 mm²

Step-by-step explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

x^2+y^2-16x-161=0 factor it

Answers

(x-8)^2+y^2=225 I'm not able to factor it

(30 points of my grade) Emil would like to estimate the probability of 2 or more heads coming up in 3 coin flips.

To do this, he has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 12 trials are shown in the table.

111 011 000 010 100 111
010 111 111 101 000 111
What is Emil's estimated probability, based on this simulation?

Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

Answer is 5/12 :)

About 14 out of 36 or 7 out of 18 because it’s selecting three numbers 12 times and 14 of them are 0s. And 14 out of 36 simplified is 7 out of 18.

(17 points)
Determine if line AB is tangent to the circle

Answers

1. If AB is tangent to the circle, then

[tex]18^2=(2\cdot7.2)^2+10.8^2[/tex]

We have

[tex]18^2=324[/tex]

[tex](2\cdot7.2)^2+10.8^2=324[/tex]

so AB is indeed tangent to the circle.

2. The unlabeled leg is another radius of the circle so it has length 8. Then if AB is tangent to the circle,

[tex](10+8)^2=8^2+15^2[/tex]

but we have

[tex](10+8)^2=324[/tex]

[tex]8^2+15^2=289[/tex]

so that cannot be a right triangle and AB is not tangent to the circle.

What is 4n squared plus n squared?

Answers

Answer:

Step-by-step explanation:

Itś 5n²

A jacket is on sale for 70% of the original price. If the discount saves $45, what was the original price of the jacket? What is the sale price?

Answers

I believe it is $64.28
First you divide 45/7 to find out what 10% of 45 is since 70% is $45
45/7= 6.42, so now you multiply 6.42 by 3 to fin out what the 30% is
6.42(3)= $19.28
Now you add $19.28+45 to add the 30% and the 70%, which is $64.28

100 - 70% = 30

0.30 × p (p=45)

0.30 × 45 = 13.5

the sale price is $13.50

plss help me! will give brainliest

Answers

Answer:

15. Radius

16. CF is parallel to AH , Option C

17. Option A , AB congruent to ST

Step-by-step explanation:

15.  The line joining the center and any point on the circumference of a circle is the radius if the circle. Here Center is O and is being joined by B which lies on circumference hence OB makes a radius.

16. In  a cuboid , all the heights are parallel to each other. Hence CF ║AH ║ BE ║ DG

Hence the right answer is option C

17. If we observe the two quadrilaterals we see that

A overlaps to S , B to T , C to U and D to V

Hence

AB is congruent to ST

A car travels in the direction of 135°. What is its compass heading?

Answers

SE ( South East) is the answer I believe

A car travels in the direction of 135° its compass heading is South and East.

We have given the direction of 135°.

North 315 West East ASE South Car travels in a direction of 315.

315 = 270'+ 45".

What is the measure of angle?

The degree measure of an angle is determined by the amount of rotation in degrees from the initial side to the terminal side.

The angle 315" lies between south and east. Making an angle of 45 towards south and east.

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I NEED HELP ASAP PLZZZZ LOOK AT THE PIC

Answers

Answer:

The red line is g(x)

Step-by-step explanation:

* To solve this problem you must to know some fact about

  transformation

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

- A vertical stretching is the stretching of the graph away from

 the x-axis

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each of its y-coordinates by k.

- A vertical compression is the squeezing of the graph toward

 the x-axis.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or compress is

 followed by a reflection across the x-axis.  

* Now lets solve the problem

- g(x) = -1/2f(x + 2)

# x + 2 ⇒ means the graph moved 2 units to the left

# -1/2 ⇒ means the graph has vertical compressed followed

 by a reflection across the x-axis, then multiply

 each y-coordinate by -1/2

- The graph of f(x) intersects x-axis at point (3 , 0)

∴ The point will be (1 , 0) on g(x)

- The graph of f(x) intersects y-axis at point (0 , -6)

∴ The point will be (-2 , 3) on g(x)

* Look to the graph

# The red line is g(x)

# The blue line is f(x)

- To check your answer

# The equation of f(x) is f(x) = 2x - 6

∵ g(x) = -1/2f(x + 2)

∴ g(x) = -1/2[2(x + 2) - 6] = -1/2[2x + 4 - 6] = -1/2[2x - 2] = -x + 1

* g(x) intersect x-axis at point (1 , 0) and y-axis at point (0 , 1)

Please expla your answer as well. THX!!!

Answers

Answer:

[-7,5]

Step-by-step explanation:

The range is all the permitted values of y in the function. The lowest to the highest.

Looking at the function, the lowest y value is -7

and

the highest y value is 5

So we can say the range is [-7,5], the last choice

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus two.

Answers

Answer:

[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]

Step-by-step explanation:

We have the following limit

[tex]\lim_{x \to 0}\ x^2 -2[/tex]

To solve this limit using direct substitution to substitute the value that tends x into f(x) and simplify.

In this case x tends to zero, then we substitute x = 0 in the function and simplify

[tex]\lim_{x \to 0}\ x^2 -2= (0)^2 -2= -2[/tex]

Therefore

[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]

When x approaches 0 then f(x) it tends to -2

how wide can a 5 m load be to fit under a parabolic underpass that is 7 m wide and 7 m at its highest point

Answers

Answer:

[tex]\boxed{\text{3.74 m}}[/tex]

Step-by-step explanation:

This is equivalent to finding the equation of a parabola from three points.

Let's call the ground-level points (-3.5, 0) and (3.5, 0).

The axis of symmetry will be the y-axis, so the vertex is at (0, 7).

Part 1. Find the equation of the parabola

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

If the vertex is at (0, 7),  

h = 0 and k = 7

The equation is

y = ax² + 7

Insert the point (0, -3.5)

0 = a(0 + 3.5)² + 7

0 = a(3.5)² + 7

0 = 12.25a + 7

-7 = 12.25a

a = -0.5714

The equation in vertex form is

y = -0.5714x² + 7

Part 2. Calculate the width when y = 5

 5 = -0.5714x² + 7

-2 = -0.5714x²

x² = 2/0.5714

x² = 3.5

x = ±√3.5 = ±1.87  

So, on the graph, the coordinates of the truck at ground level are x = -1.87 and x = +1.87.

The maximum width of the load is 1.87 – (-1.87) =[tex]\boxed{\textbf{3.74 m}}[/tex]

In the diagram below, the red parabola represents the underpass, and the blue box is the truck going through it.

yo I need this as soon as possible

Answers

Answer:

Step-by-step explanation:

So, if we know that 25 is the area of the square, that means that each side is 5.  That also means the diameter of the circle is 5, so the radius is 2.5.  Now, we can input the radius into the circumference formula for a circle, which is 2πradius.  So, 2π2.5 which equals 5π, or about 15.71

kate has 2/3 yards of fabric to make small flags each flag requires 1/6 yards of fabric how many flags cane kate make​

Answers

Answer:

THE ANSWER IS 7

Step-by-step explanation:

CAUSE UR MOM IS A TRASHIE                 i'm sorry i meant YO MAMA

Final answer:

Kate can make 4 small flags from 2/3 yards of fabric since each flag requires 1/6 yards of fabric.

Explanation:

Kate has 2/3 yards of fabric and each small flag requires 1/6 yards of fabric. To find out how many flags Kate can make, you divide the total amount of fabric by the amount needed for one flag:

2/3 yards \/ 1/6 yards = 4 flags.

Here's the step-by-step calculation:

First, recall that dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of 1/6 is 6/1.

So, multiply 2/3 by the reciprocal of 1/6:

2/3 × 6/1 = 12/3 = 4.

Thus, Kate can make 4 small flags from the fabric she has.

Help please help ,,,,,

Answers

Answer:

18 cm²

Step-by-step explanation:

The area labelled A is a triangle.

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 9 and h = 4 ( the same height as the rectangle ), thus

A = [tex]\frac{1}{2}[/tex] × 9 × 4 = [tex]\frac{1}{2}[/tex] × 36 = 18 cm²

Write the phrase "twelve more than the product of seventeen and a number" as a mathematical expression.
A. 12 – 17x
B. 12 + 17x
C. 12 > 17x
D. 17 + 12x

Answers

Answer:

The answer is B. 12+17x

Step-by-step explanation:

Twelve more stands for +12 and the product of seventeen and a number is equal to 17*x or 17x.

Answer: OPTION B.

Step-by-step explanation:

You need to remember that a product is the result of a multiplication.

Let be the number mentioned in the problem "x", "the product of seventeen and a number" means that:

[tex](17)(x)=17x[/tex]

 Now "twelve more than the product of seventeen and a number" indicates that you need to add 12 to [tex]17x[/tex].

Therefore, you can write the phrase in the following mathematical expression:

[tex]17x+12[/tex] or  [tex]12+17x[/tex]

This matches with the option B.

___ cosb =1/2 sin(a+b)+sin(a-b)?

Answers

Answer:

That would be sina.

Step-by-step explanation:

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb -  cosasinb

Adding we get  sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

Answer:

sina

Step-by-step explanation:

We have

          sin(a+b) = sina cosb + cosa sinb ---------------------eqn 1

           sin(a-b) = sina cosb - cosa sinb ---------------------eqn 2

eqn 1 + eqn 2

          sin(a+b) + sin(a-b) = sina cosb + cosa sinb + sina cosb - cosa sinb

          sin(a+b) + sin(a-b) = 2sina cosb

          [tex]sina\times cosb =\frac{1}{2}(sin(a+b) + sin(a-b))[/tex]

So answer is sina

Jasmine wants to make a path from one corner of her yard to the other as shown. The path will be 3 feet wide. What is the area of the path?

Answers

Answer:

The answer is 90.

Step-by-step explanation:

Area of the path will be 90 square feet.

How to find the area of the path?The yard is rectangular in shape.In the figure, there are two right angles triangles on two sides of the pathArea of the path = (Area of the rectangular yard) - (Area of two right angled triangles)The width of the path is 3 feet.  So, the base of the right angled triangle = (12-3) feet = 9 feet Area of the right angled triangle =  base x height/2

= (9 x 30/2) square feet = 135 square feet

Area of the yard = ( length x breadth)

= ( 30 x 12) square feet = 360 square feet

Area of the part = {360 - 2(135)} square feet

                                  = 90 square feet

Area of the path will be 90 square feet.

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How to simplify 11/3

Answers

3 2/3 the answer because....

11 cant fit into three so, if you divide 11%3 = 3 2/3 now let’s see, how much times can you multiply 3 into 11 only 3 times 3,6 and 9 (things) then the 2/3 is there because, if add 1 more 0.1 you get 12/3 but it’s not it’s 2/3 of the value

Final answer:

11/3 is already in its simplest fractional form as there are no common factors between 11 and 3. However, it can be expressed as a mixed number, which is 3 2/3 in this case.

Explanation:

To simplify 11/3, you must first understand what it means to simplify a fraction. Simplifying a fraction means to reduce it to its simplest form, or to a form that can no longer be reduced. However, 11/3 is a fraction that cannot be simplified any further as there are no common factors between the numerator (11) and the denominator (3). It is in its simplest form. But, if we're looking to express this as a mixed number, we would divide 11 by 3. The result is 3 with a remainder of 2. Hence, 11/3 can be expressed as the mixed number 3 2/3

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simplify the expression for the length? A) x + 6 B)x – 6 C)x + 2 D)x – 2

Answers

Answer:

A on edge

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Find the distance from the origin to the graph of 4x-y+8=0

Answers

Answer:

[tex]x=\frac{1}{4}y-2[/tex]

Step-by-step explanation:

x= 1 over 4y-2

Answer:

B. 1.94

Step-by-step explanation:

Give me Brainliest

Find the perimeter of each figure in questions. use 3.14 pi​

Answers

Answer: 10.5

Step-by-step explanation:Find the perimeter of the figure. Use 3.14 for the pie and round your answer to one decimal.

This looks like a square with a line going from the right corner slanted down to the bottom left, but there is a half circle there so it doesnt actually touch the bottom left. on the right half of the line is 13 in.

what is the value of the expression below 3 1/4 - 1 78​

Answers

Answer:1 3/8

Step-by-step explanation:

3 1/4 = 3 2/8

1 7/8 =1 7/8

3 2/8 = 2 10/8

1 7/8 = 1 7/8

2 10/8-1 7/8 =1 3/8

Answer: =1 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

First, Rewriting our equation with parts separated:

=3 + 1/4 − 1 − 7/8

Then, Solving the whole number parts:

3 − 1= 2

After, Solving the fraction parts

1/4−7/8=?

Find the LCD of 1/4 and 7/8 and rewrite to solve with the equivalent fractions.

LCD = 8

2/8−7/8=−5/8

Then, Combining the whole and fraction parts

2 − 5/8=1 3/8

Next, converting mixed numbers to fractions, our initial equation becomes,

134−158

Finally, doing all the work you answer is going to be :

=1/38* Hopefully this helps:)

Mark me the brainliest:)!!

∞ 234483279c20∞

Please help me asap!! Will mark as brainliest!!!200 points !!!!!!!! Find the area of the trapezoid given the coordinates: -3,3 -1,-3 1,-2 3,-3

Answers

what are we using ? feet, inches, etc.

Answer:

The answer is 4

Hope this helped

I need to master all skills 8 left a lot of questions coming for math lovers

Answers

2 hours and 33 minutes have passes

In a symphony orchestra, there are 2 vacancies for cellists only, 4 vacancies for violinists only and 4 vacancies for any of these musicians. In how many ways can these vacancies be filled from 15 applicants, of whom 7 are violinists and 8 are cellists?

Answers

Answer:

123480

Step-by-step explanation:

We have to choose:

2 cellists from 8 cellists;4 violonists from 7 violonists;4 cellists or violonists from 9 remaining musicians (8-2=6 - cellists left, 7-4=3 - violonists left, 6+3=9 - left musicians in total)

1. 2 cellists from 8 can be chosen in

[tex]C_8^2=\dfrac{8!}{2!(8-2)!}=\dfrac{8!}{2!6!}=\dfrac{6!\cdot 7\cdot 8}{2\cdot 6!}=28[/tex]

different ways.

2. 4 violonists from 7 can be chosen in

[tex]C_7^4=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!3!}=\dfrac{4!\cdot 5\cdot 6\cdot 7}{4!\cdot 2\cdot 3}=35[/tex]

different ways.

3. 4 musicians from 9 can be chosen in

[tex]C_9^4=\dfrac{9!}{4!(9-4)!}=\dfrac{9!}{4!5!}=\dfrac{5!\cdot 6\cdot 7\cdot 8\cdot 9}{5!\cdot 2\cdot 3\cdot 4}=126[/tex]

different ways.

In total, there are [tex]28\cdot 35\cdot 126=123480[/tex] differnt ways to fill all vacancies.

what is 22 * 19 + area model​

Answers

Answer:

(20+2)(10+9)

Step-by-step explanation:

The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.

For example 22*19 becomes (20+2)(10+9).

Identify the following as exponential or linear and growth or decay

Answers

This would be linear growth because the y values are increasing, but not at an exponential rate.

Which statistical question could the data below answer ? Cost of toys

Answers

The statistical question that could be answered by the data is "maximum cost of toys".

The graph shown is a line graph which is a type of chart that displays data points connected by a line. It's a common way to visualize how a particular quantity changes over time or across different categories.

Line graphs makes it easy to determine statistical measures including minimum and maximum values of a category or data.

Here, the maximum cost of toys is 10 and the minimum is 5.

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