greatest number formed from 3 and 4

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

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

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):

[tex] V_{m} = V_{e} - V_{i} [/tex]

[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]    

The external radius is given by the sum of the internal radius with the tickness:

[tex] r_{e} = t + r_{i} [/tex]

Hence, the volume is:

[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

Answer:

We conclude that the train can travel 2240 miles in 16 hours.

Step-by-step explanation:

Given that a  super train traveled 420 miles in 3 hours.

Step 1 of 2

Determine distance per hour

Important Tip:

Distance per hour = Distance Covered / Time taken

              = 420 / 3

              = 140 miles per hour

Step 2 of 2

Determine the distance traveled in 16 hours

We already know that a super train travels 140 miles per hour. In other words, the speed of the super train is 140 miles per hour.

Important Tip:

Distance traveled in 16 hours = Distance per hour × 16

                                                 =  140 × 16

                                                 = 2240 miles

Conclusion:

Therefore, we conclude that the train can travel 2240 miles in 16 hours.

Answer:

x = 1

y = 2

Step-by-step explanation:

the intersecting point is (1,2)

Answer: B

Step-by-step explanation:

3x - 4 = 11

add 4 to both sides so it cancels out

3x = 15

Now divide by 3

x = 5

Answer:

x=5

Step-by-step explanation:

3x - 4 = 11

4 + 11 = 15

3x = 15

x = 5

Answer:

yes

Step-by-step explanation:

Answer: 17600

Step-by-step explanation: 16000*10% is the same as 16000*0.1, then you get 1600. 16000+ 1600 is 17600

Answer:

4/25

Step-by-step explanation:

The total number of marbles is 2+3=5 total

P(1 red, then a second red) = (2/5) * (2/5) = 4/25

Answer: The slope is 2/3.

Step-by-step explanation: From (-1,6) to (-7,-3), the x goes up 6, and the y goes down 9. This makes the fraction -6/9. This would reduce to -2/3, but the direction the slop is headed is upwards to the right, meaning it's a positive slope.

Step-by-step explanation:

[tex] {2.7}^{12.2} = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95[/tex]

Answer:

$3,993

Step-by-step explanation:

Answe

Step-by-step explanation:

Answer:

$8.76*x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I believe it is A because according to the theorem it states the other pair of opposite sides are parallel.

"Here's the game plan. Assume that ¯BC ‌ ‌ ¯AD and ¯BC ~= ¯AD. By definition, a parallelogram is a quadrilateral with both pairs of opposite sides parallel. You already know that one pair of opposite sides is parallel. You need to show that the other pair of opposite sides is parallel. In other words, you need to show that ¯AB ‌ ‌ ¯CD."

Given:

Scale factor [tex]s=\dfrac{1}{3}[/tex]

Center of dilation = (4,2)

To find:

The coordinates of the points C' and A.

Solution:

We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

The scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).

[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex]            ...(i)

Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using rule (i), we get

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]

[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]

[tex]C(-2,11)\to C'(2,5)[/tex]

Hence, the coordinates of Point C' are C'(2,5).

Let us assume that point A is A(m,n).

Using rule (i), we get

[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]

From the given figure it is clear that the image of point A is (8,4).

[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{3}(m-4)+4=8[/tex]

[tex]\dfrac{1}{3}(m-4)=8-4[/tex]

[tex](m-4)=3(4)[/tex]

[tex]m=12+4[/tex]

[tex]m=16[/tex]

And,

[tex]\dfrac{1}{3}(n-2)+2=4[/tex]

[tex]\dfrac{1}{3}(n-2)=4-2[/tex]

[tex](n-2)=3(2)[/tex]

[tex]n=6+2[/tex]

[tex]n=8[/tex]

Therefore, the coordinates of point A are (16,8).

Answer:

1 for each friend

Step-by-step explanation:

Answer:

I think it's would be D

Step-by-step explanation:

1/2 is 50% So you add 19 and 50 to get 69% or 69/100

Answer:

102.4

Step-by-step explanation:

hope that helps beautiful ;-)

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

Answer:

congruent by side angle side so the triangle is congruent

Answer:

Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.

Or you can do it using the Pythagorean Theorem directly:

9^2 + 12^2 = 15^2

and that is true.

Answer:

yes it is.

Step-by-step explanation:

pythagorean theorem. A^2 + B^2 = C^2

Ex 9^2 + 12^2 = 15^2

Step-by-step explanation:

(A²)⁴ = A⁸

(D³)² = D⁶

(5⁴)² = 5⁸

Answer:

no clue

Step-by-step explanation:

lol

Answer:

b) 2017

c) Quarter 2

Step-by-step explanation:

Answer:

estimated 260 seventh graders use computer 5 to 10 hours a week and 300 seventh graders for 10 hours or less a week

Step-by-step explanation:

260 out of 300

300 our of 360

these numbers because it's an estimate it's what you think there is no correct answer just an estimation

Answer:

4.415525546*10 to the power of 15

Step-by-step explanation:

Answer:

[tex]2^{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

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

note that 8 = 2³ and so

8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]