Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone has a radius of r, a slant length of c, and a height of b. The second cone has a radius of r, a height of a, and a slant length of b. Is Erik’s statement correct? Why or why not? Yes, the solids are both cones and appear to have the same volumes. Yes, the area of the bases and the heights of the cones are the same, so the volumes are equal. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Answer: 1404

Step-by-step explanation:

V=πr^2h

(3)(6)^2(13)

(3)(36)(13)=1404

Answer:

area of 150° segment = 188.5 km²

Step-by-step explanation:

area of full circle = πr² = (3.14)(12²) = 452.16 km²

area of segment = (150°/360°)(452.16) = 188.5 km²

the area of each sector is C

Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2

Answer:

d. 2x+3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ffggddaafvvcgghv de ryhvg

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

it's a yw

Step-by-step explanation:

Answer:

7x²+ 25x

Step-by-step explanation:

Answer:

Step-by-step explanation:

by using formula (a+b)^2=a^2+2ab+b^2

in these two we have to just open the formula

(3x+2y)^2

=(3x)^2+2(3x)(2y)+(2y)^2

=9x^2+12xy+4y^2

(3y+2x)^2

=(3y)^2+2(3y)(2x)+(2x)^2

=9y^2+12xy+4x^2

Answer:

1. isn't a reflection

2. is a reflection

3. is a reflection

Answer:

35g^2 +38g +8

Step-by-step explanation:

Answer:

a = 5120

b = 1.25

Step-by-step explanation:

Let the exponential function representing the given table is,

f(x) = [tex]a(b)^x[/tex]

Here, f(x) = Number of views

x = Number of weeks

We choose two points from the given table and satisfy the equation of the function.

Let the points are (0, 5120) and (1, 6400)

For a point (0, 5120),

f(0) = a(b)⁰ = 5120

a = 5120

Now for the second point (1, 6400),

6400 = 5120(b)¹

b = [tex]\frac{6400}{5120}[/tex]

b = 1.25

Therefore, a = 5120 and b = 1.25 are the values.

Answer:

f(x)=8(0.5)^x

Step-by-step explanation:

Answer: B / 2,6,10,14,18

Step-by-step explanation:

you were given the equation next input 1 for n.

Solve and a = 2

Then you input 2 for n. Solve and you get a =6.

Do  this up until you get to 5.

Answer:

3

Step-by-step explanation:

f(x)=5x-7

for f(2) just put 2 in place of x

so,

f(2)=5(2)-7

f(2)=10-7

f(2)=3

Given:

Let us consider,

Length of a rectangular prism = 8 inches

Width = [tex]6\dfrac{3}{4}[/tex] inches

Height = [tex]5\dfrac{1}{4}[/tex] inches

To find:

The volume of the rectangular prism.

Solution:

The volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting the given values, we get

[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]

[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]

[tex]V=\dfrac{567}{2}[/tex]

[tex]V=283.5[/tex]

Therefore, the volume of the rectangular prism is 283.5 cubic inches.

Answer:

Volume   =   π • r² • height

Volume   =   3.14 • 13² • 45

Volume = 23,879.7 cubic millimeters

Volume = 23,880 cubic millimeters (to nearest millimeter)

Step-by-step explanation:

Answer:

There are 70 trucks

Step-by-step explanation:

trucks : cars:  

5            8      

Take 112 cars and divide by 8 cars

112/8 =14

We need to multiply each number by 14

trucks : cars:  

5*14            8*14

70                112

There are 70 trucks

Answer:

C, $60

Step-by-step explanation:

It is where the graph starts even with 0 minutes.

Answer:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]

Required

Solve

Express [tex]x^2-4[/tex] as difference of two squares

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Factorize [tex]x^4 - 2x^3[/tex]

[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Cancel out x - 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]

Expand [tex]x^2 - 3x - 10[/tex]

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]

Factorize:

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]

Factor out x + 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]

Cancel out x - 5 and x + 2

[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]

[tex]\frac{1}{x^3}\cdot 1[/tex]

[tex]\frac{1}{x^3}[/tex]

Hence:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Answer:

where is the picture i cant see anything except find the surface area! correct gets brainliest!

Step-by-step explanation:

Answer:

x= [tex]3\frac{2}{5}[/tex] or x=3.4

Answer:

Standard form: 2c^4 + 6c^2 - c

Degree: 4th

Leading coefficient: 2

Classification: Trinomial

Step-by-step explanation:

In standard form, you have to put the term with the highest exponent first.

With finding the degree, you just look at the highest exponent and that's the degree. 4 is the highest exponent, so it is to the 4th degree.

The leading coefficient is the number attached to the highest exponent. 4 is the highest and the number attached to it is 2.

Classification goes by how many terms there are. Since there are 3, it's trinomial. Tri as in three.

Answer:

Acute

Step-by-step explanation:

and angle lower than 90 is acute exactly 90 is an right angle from 90 to 180 obtuse 180 to 360 reflex angle and equalateral is 60 degrees on each angle

Answer:

There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.

This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.

Related diagram is attached below :

Answer:

No

Step-by-step explanation:

The height, h of the tent attached below can be obtained using Pythagoras rule, as the shape forms a right angle triangle.

Length of base , = 24 / 2 = 12 feets

Hypotenus = 15 feets

The height, h = √(hypotenus² - Base²)

h = √15² - 12²

h = √225 -144

h = √81

h = 9 feet

Tent shouldn't be rented as it is below 10 feets

Answer:

70

Step-by-step explanation:

35 times 4 = 140. 210-140= 70

Answer:

The probability of picking an orange is 8/18, or 4/9.

8/18 of the fruits are oranges, so 10/18 of the fruits are not oranges. The complement of picking an orange is 10/18 or 5/9.

Step-by-step explanation:

There are 4 apples, 6 pears, and 8 oranges. That adds up to 18 fruits. 8 of those are oranges, so the probability of picking an orange is 8/18, or 4/9 simplified.

The complement means all outcomes that are NOT the favorable outcome, or in this case, all outcomes that are not oranges. There are 8 oranges out of 18, so there are 10 fruits that are not oranges. This makes the complement 10/18, or 5/9 simplified.

Answ2/6 or 33% chance of getting an apple, 3/24 or 13% of getting a pear and 13/24 or 54% chance of getting an orange hope that helps.er:

Step-by-step explanation:

Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation: hope this helps