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:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Answer:

Step-by-step explanation:

Can you please specify on that question

Answer:

Integers are numbers that include the negatives, zero and positives.

Step-by-step explanation:

If you ever get confused there's a big circle chart to help you remember look for it online!! What I use to remember is visualizing a number line!

First is the real numbers, so the numbers we were taught since we were little like 1, 2 ,3, 4, 5, 6 and so on. So that's the first part of the number line.

Next is the whole numbers so you just add a zero to that number line. Whole numbers is just all of the real numbers + the number zero.

Then it's the integers so you add the left side of that number line. Integers are real numbers, whole numbers, and negatives. So basically on the number line it's the negatives , zero, and the positives.

Last it's the radicals so all parts of a number like fractions and decimals. So you can add .5 in between the numbers of that numberline.

I hope this strategy helped and if it didn't here's that circle chart!!

I really hope this did help tho!!

Answer:

im not sure

Step-by-step explanation:

hy

Answer:

what butt to not answer

Step-by-step explanation:

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

Given:

Consider the population of California = [tex]3.9\times 10^7[/tex]

Consider the population of Maine = [tex]1.3\times 10^6[/tex]

To find:

The difference between the population of California and Maine.

Solution:

We have,

Population of California = [tex]3.9\times 10^7[/tex]

Population of Maine = [tex]1.3\times 10^6[/tex]

Difference between the population of California and Maine is

[tex]\text{Difference}=3.9\times 10^7-1.3\times 10^6[/tex]

[tex]\text{Difference}=3.9\times 10^7-(0.13\times 10)\times 10^6[/tex]

[tex]\text{Difference}=3.9\times 10^7-0.13\times 10^7[/tex]

[tex]\text{Difference}=(3.9-0.13)\times 10^7[/tex]

[tex]\text{Difference}=3.77\times 10^7[/tex]

Therefore, the correct option is D.

Answer:

a = 9

Step-by-step explanation:

First we need to add  (x^2+3x)  to (3x^2+ax),

(x^2+3x)+(3x^2+ax)

Expand

= x^2+3x+3x^2+ax

Collect the like terms

= x^2+3x^2+3x+ax

= 4x^2 + 3x + ax

= 4x^2+(3+a)x

Equate the solution to 4x^2+12x

4x^2+(3+a)x = 4x^2+12x

Comparing the like terms on both sides

(3+a)x =12x

3 + a = 12

a = 12 - 3

a = 9

Hence the value of a is 9

Answer:

119 square units

Step-by-step explanation:

To find the area of a trapezoid, use this formula: (a+b)/2 * h

Substitute 24, 10, and 7 for a, b, and h, respectively.

((24 + 10)/2) * 7

Step 1: Add 24 and 10 to get 34.

(34/2) * 7

Step 2: Divide 34 by 2 to get 17.

17 * 7

Step 3: Multiply 17 by 7 to get 119

119

The area of this trapezoid is 119 square units.

Answer:

119

Step-by-step explanation:

I took the quiz

Answer:

56.52

Step-by-step explanation:

Circumeference Equation=2πr

Answer:

C

Step-by-step explanation:

Answer: 235.5 cm³

Step-by-step explanation: Volume of a cylinder is the area of the circular base times the height of the cylinder:

V = π r² h

Given r = 5 cm and h = 3 cm:

V = (3.14) (5 cm)² (3 cm)

V = 235.5 cm³

Answer:

the answer is 49

Step-by-step explanation:

Answer: [tex]\$25[/tex]

Step-by-step explanation:

Given

Mr. Cole has $200

He keeps three-fourth of money i.e.

[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]

Remaining money is [tex]=200-150=\$50[/tex]

If $50 dollar is distributed among two-child, then each child will get

[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]

Answer:

Area= height x width = (x + 6) (x+ 2) = x^2 + 2x + 6x + 12= x^2 + 8x + 12

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

Answer:

44.4

Step-by-step explanation:

7 4/10x5=37

37+7 4/10=44.4

Answer:

3024

Step-by-step explanation:

3024

Option (D) 3024 is the permutation value is the correct answer.

A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.

For the given situation,

The value of 9P4

The formula to find permutation is

[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]

Here, n = 9 and r = 4

⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]

⇒ [tex]\frac{9!}{5!}[/tex]

⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]

⇒ [tex](6)(7)(8)(9)[/tex]

⇒ [tex]3024[/tex]

Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.

Learn more about permutations here

https://brainly.com/question/1216161

#SPJ2

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4

Answer:

it ends at 10:30 am

Step-by-step explanation:

if you add 2 hours to 8:30 am it equals 10:30 am

Answer:

0.0416667

Step-by-step explanation:

Answer: -7

Step-by-step explanation: y+3x=8x-7

subtract 3x from both sides y=5x-7

y=Mx+b

b=-7

Answer:

Its easy 45×9=405 simple Mental math

Answer:

A pair of socks is two socks, therefore a pair of verticle lines would be two vertical lines. A verticle line is the y intercept on the graph, or a stright line going from the floor to the roof. Your legs for example is a pair of verticle lines.

Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

[tex] \bf \huge 61.25[/tex]

Step-by-step explanation:

we have,

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

⟼ for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

⟼ $ 61•23

∴ maddy cost $ 61•23 for buys both.

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204