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rjkz [21]
3 years ago
15

Jefferson's Popcorn & Roasted Nuts Shop sells cone-shaped bags of roasted cashews, shown below. What is the volume of the ba

g of nuts?

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

The volume of the bag of nuts is the amount of nuts it can contain

The volume of the bag of nuts is 84.78 cubic inches

<h3>How to determine the volume of the bag?</h3>

From the figure, we have the following parameters:

  • Radius, r = 3 in
  • Height, h = 9 in

The volume of a cone is calculated using:

V = 1/3 πr^2h

Substitute the known values

V = 1/3  * 3.14 * 3^2 * 9

Evaluate the product

V = 84.78

Hence, the volume of the bag of nuts is 84.78 cubic inches

Read more about volumes at:

brainly.com/question/1972490

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If
Tju [1.3M]

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by \sqrt{x}

b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x}  }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\

Now, find a +b

a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}

Combine like terms

= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}

Now find (a + b)²

(a +b)² = (\frac{2\sqrt{x} }{x})^{2}

          = \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}

Hint: \sqrt{x} *\sqrt{x}  =\sqrt{x*x}=x

5 0
3 years ago
AB is included between<br><br> A. BC and AC<br> B. C. &lt; A and D. AB and BC
Novay_Z [31]

Answer:

Option C.

Step-by-step explanation:

By the property of unique triangles (ASA), one side is included between the two angles.

By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.

Therefore, \bar{AB} is included between ∠A and ∠B.

Option C. will be the answer.

5 0
3 years ago
In the figure, b and c are parallel lines. Which of the following statements are true?
Helen [10]

Answer:

1. No, Joe is not correct

2. \angle 5=72^{\circ}

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. \angle 5

Solution:

1.

Sum of two angles that form a linear pair is equal to 180^{\circ}

\angle 3+72^{\circ}=180^{\circ} (linear pair)

\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

\angle 5=72^{\circ} (alternate interior angles)

4 0
3 years ago
Who spent more of their allowed on pizza? 2/5 and 0.25
zheka24 [161]

Answer:

2/5, because 2/5 is bigger than 0.25.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find m∠XYW and m∠WYZ m
makvit [3.9K]

Answer:

<XYZ = 117°

<XYW+ WYZ = 117°

(6x+44)+(-10x+65)= 117°

6x+44-10x+65= 117°

-4x+ 109= 117°

-4x= 117-109

-4x= 8

x= 8/-4

x= -2

<XYW= 6x+44= 6×-2+44= -12+44= 32°

<WYZ= -10x+65 = -10×-2+ 65= 20+65= 85°

Step-by-step explanation:

7 0
3 years ago
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