A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.75 inches.
(a)
Find the volume (in cubic inches) of the regular ice cream cone to the nearest tenth.


cu. in
(b)
Find the volume (in cubic inches) of the waffle cone to the nearest tenth.


cu. in
(c)
How much more ice cream (in cubic inches) fits in the waffle cone compared to the regular cone? Round your answer to the nearest tenth.


cu. in

9514 1404 393

Answer:

  73.5 km

Step-by-step explanation:

The magnitude can be found from the law of cosines. The angle between the two vectors is 140°, so the magnitude is ...

  c^2 = a^2 + b^2 -2ab·cos(C)

  c^2 = 32^2 +46^2 -2·32·46·cos(140°) ≈ 5395.2348

  c = √5395.2348 ≈ 73.452

The magnitude of the resultant vector is about 73.5 km.

Answer: 5982

Step-by-step explanation:

The area of the rectangle is L*w so 100*50= 5000

the area of the semi-circle on top is

[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]

Total area is 5000+981.75= 5981.75

round up to 5982

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

Answer:

I think A

Step-by-step explanation:

   But im not sure

Answer:

C

Step-by-step explanation:

Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.

The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.

To find the right angle triangle it should satisfy the Pythagoras theorem

a. 12, 16, 20

[tex]12^{2} +16^{2} = 144 + 256[/tex]

               = 400

[tex]20^{2}[/tex] = 400

Since it follows the Pythagoras triplet, it is a right-angle triangle.

b. 15, 36, 39

[tex]15^{2} +36^{2} \\= 1521[/tex]

[tex]39^{2} =1521[/tex]

Since it follows the Pythagoras triplet, it is a right-angle triangle.

c. 20, 24, 26

[tex]20^{2} + 24^{2} \\= 976[/tex]

[tex]26^{2} = 676[/tex]

Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.

d. 30, 40, 50

[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]

Since it follows the Pythagoras triplet, it is a right-angle triangle.

Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.

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Answer:

r = 29.82

Step-by-step explanation:

r/7.1 = 4.2

r = 7.1 x 4.2

r = 29.82

Answer:

29.82

Step-by-step explanation:

First, we multiply all terms by the same number to get rid of the denominators.

71 x /71/10 = 71 x 42

Next, we cancel the multiplied terms in denominator.

10 = 71 x 4.2

Solve!

10 = 29.82

Answer:

Step-by-step explanation:

The equation of the line that passes through the points (1, 50) and

(3, 120) is y = 35x + 15.

We have,

The point-slope form of a linear equation is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope of the line.

The slope (m) using the given points:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values from the given points (1, 50) and (3, 120).

m = (120 - 50) / (3 - 1)

= 70 / 2

= 35

Use (1, 50)) and substitute its coordinates into the point-slope form:

y - y₁ = m(x - x₁)

y - 50 = 35(x - 1)

Simplifying further:

y - 50 = 35x - 35

y = 35x - 35 + 50

y = 35x + 15

Therefore,

The equation of the line that passes through the points (1, 50) and

(3, 120) is y = 35x + 15.

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Answer:

729

Step-by-step explanation:

[tex]\frac{1}{2}log_{2}x=3log_{2}3 \\[/tex]

[tex]log_{2}\sqrt{x} =log_{2}3^{3}[/tex]

[tex]\sqrt{x} =27 \\[/tex]

x=27²=729

Answer:

15000000.00 mcg

Step-by-step explanation:

Answer: [tex]9 \frac{1}{2} x+5[/tex]

Step-by-step explanation:

In order to find the Perimeter, we add all the segments up.

 (2x-1)+(4x+3)+(x+2)+(2x+2)+(1/10x-1)+(2/5x)

=2x-1+4x+3+x+2+2x+2+1/10x-1+2/5x ⇔ Expand Parenthesis

=2x-1+4x+3+x+2+2x+2+1/10x-1+4/10x ⇔ Convert fractions into same                              

                                                                  denominator

=(2x+4x+x+2x+1/0x+4/10x)+(3-1+2+2-1) ⇔ Put like terms together

=(9x+1/2x)+5 ⇔ Combine like terms

=9 1/2 x +5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

i believe the answer is y =5

(13)^2 = (12)^2 +( y)^2

169= 144 + y^2

169-144= y^2

25= y^2

5 = y

Answer:

Step-by-step explanation:

Using the expression for calculating the sum of an AP as:

Tn = Sn - Sn-1

When n = 10

T10 = S10 - S9

Given that;

Sn = n²-3n

S10 = 10²-3(10)

S10 = 100 - 30

S10 = 70

S9 = 9² - 3(9)

S9 = 81 - 27

S9 = 54

Substitute the given values

T10 = S10 - S9

T10 = 70 - 54

T10 = 16

Hence the 10th term of the sequence is 16

Answer:

Step-by-step explanation:

1895 x 7895 + 6575 - 1.753

14961025 + 6575 - 1.753

14967600 - 1.753

14,967,598.247

Answer:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](c)\ 9, 12, 15[/tex]

Step-by-step explanation:

Required

Side lengths that form a right triangle

Applying Pythagoras theorem

[tex]a^2 = b^2 + c^2[/tex]

Where a is the longest side.

So, we have:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]

[tex]31 = 25 + 6[/tex]

[tex]31 = 31[/tex]

This forms a right triangle

[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]

[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]

[tex]2500 = 5 + 5[/tex]

[tex]2500 \ne 10[/tex]

This does not form a right triangle

[tex](c)\ 9, 12, 15[/tex]

[tex]15^2 = 12^2 + 9^2[/tex]

[tex]225 = 144 + 81[/tex]

[tex]225 = 225[/tex]

This forms a right triangle

Answer:

It is important because it allows you to calculate the surface area of a trapezoidal prism

Step-by-step explanation:

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

C. X > -1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−2x + 5 < 7

Step 2: Subtract 5 from both sides.

−2x + 5 − 5 < 7 − 5

−2x<2

Step 3: Divide both sides by -2.

−2x/−2 < 2/−2

x > −1

Answer:

k

Step-by-step explanation:

The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

Liam and Michael are going to play video games this afternoon.

Then, Liam going to play video games = 38

Michael going to play video games = 2

In 38 video games and 2 video games are exactly what Liam and Michael need.

So,

We can write,

Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]

As only one case is possible,

That is, [tex]2C_{2}[/tex] = 1

Probability = 1/(38!/(38-2)!2!)

= 1/(38!/36!2!)

=( 2! * 36! )/38!

= (2! * 36! )/38!*37!*36!

= 2!/38!37!

= 1/19!37!

= 1/703

= 0.001422

Rounding to nearest million ( 5 decimal )

Required probability = 0.001422

Therefore,

The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

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Answer:

reflect over the y axis, move two units to the left and 8 units down

Answer:

2oz are 1/4 cup

done easy.

Step-by-step explanation:

Answer:

1 1/2 pinyt

Step-by-step explanation:

9514 1404 393

Answer:

  WX = 33

  (x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

  WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

  WX = 33

__

The hash marks also tell you ...

  PW = WS

  y +4x = 18 . . . . . . substitute the given expressions

and also

  QX = XR

  2y +x = 22 . . . . . substitute the given expressions

__

If you solve the first equation for y, you get ...

  y = 18 -4x

Substituting that into the second equation gives ...

  2(18-4x) +x = 22

  36 -7x = 22 . . . . . . . simplify

  14 = 7x . . . . . . . . . . . add 7x-22 to both sides

  2 = x . . . . . . . . . . . . divide by 7

  y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

__

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

Answer:

I think 1

Step-by-step explanation:

Maybe not 100% $ure

Answer:3

because yeah that the answear and stuff

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83

Answer:

The answer to this question is 13

Answer:

u = 10.88

Step-by-step explanation:

u - 6.46 = 4.42

u - 6.46 + 6.46 = 4.42 + 6.46

u = 10.88