Please help ASAPPPP !!!! Pleaseeeeeeee

Given that,

The cone and the sphere have the same volume.

___________________________________________

Volume of the cone

[tex] = \frac{1}{3}\pi {r}^{2} h[/tex]

[tex] = \frac{1}{3} \times \frac{22}{7} \times 2.4 \times 2.4 \times 8.3[/tex]

[tex] = 1 \times \frac{22}{7} \times 0.8 \times 2.4 \times 8.3[/tex]

[tex] = \frac{22}{7} \times 1.92 \times 8.3[/tex]

[tex] = \frac{22}{7} \times 15.93[/tex]

[tex] = 22 \times 2.27[/tex]

[tex] = 49.94[/tex]

[tex] = 50 {cm}^{3} (rounded)[/tex]

Also,

Volume of the sphere

= 50cm³

[tex] = \frac{4}{3} \pi {r}^{2} = 50[/tex]

[tex] \pi {r}^{2} = 50 \times \frac{3}{4} [/tex]

[tex]\pi {r}^{2} = 37.5[/tex]

There is only one value of c that satisfies the requirements.

=======================================================

Work Shown:

Let's compute the function value at the given endpoints of the interval.

[tex]f(x) = 4\sin(x)\\\\f(\pi) = 4\sin(\pi) = 0\\\\f(0) = 4\sin(0) = 0\\\\[/tex]

Which means,

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(\pi)-f(0)}{\pi-0}\\\\f'(c) = \frac{0-0}{\pi}\\\\f'(c) = \frac{0}{\pi}\\\\f'(c) = 0\\\\[/tex]

We want to find all values of c such that the derivative is 0.

This can be rephrased into wanting to solve [tex]4\cos(x) = 0\\\\[/tex] since the derivative of sine is cosine

In other words, [tex]f(x) = 4\sin(x)\\\\[/tex] turns into [tex]f'(x) = 4\cos(x)\\\\[/tex]

Solving that equation leads to:

[tex]4\cos(x) = 0\\\\\cos(x) = 0\\\\x = \frac{\pi}{2}\\\\[/tex]

Use a reference table or the unit circle to determine this.

This is the value of c that satisfies f ' (c) = 0, such that [tex]0 < c < \pi[/tex]. No other value of c works.

If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.

Side note: this is an application of Rolle's Theorem

The property of equality that justifies the statement where the statement is given as "If VR + TY = EN + TY, then VR = EN" is the subtraction property of equality

The statement is given as

If VR + TY = EN + TY, then VR=EN

In the above statement, we have the following equation

VR + TY = EN + TY

By applying the subtraction property of equality, we have the following equation

So, we have

VR + TY - TY = EN + TY - TY

Evaluate the  difference in the above equation

So, we have

VR = EN

Hence, the property of equality that justifies the statement where the statement is given as "If VR + TY = EN + TY, then VR = EN" is the subtraction property of equality

Read more about subtraction property at

https://brainly.com/question/1601404

#SPJ1

Answer:You have 2 cards upfront, so the constant term in this linear equation is 2.  The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection).  ;)

y = 2 + (rate of acquisition of cards)(time)

y = 2 + rt

Answer:

$99.91

Step-by-step explanation:

If the markup is 60.5%, then the selling price would be 160.5% of the original price.

160.5%=1.605

$62.25*1.605=$99.91125

Since you can't have 0.00125 dollars, lets round to the nearest hundredth.

The selling price is $99.91

Answer:

9/3 or 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9/12 divided by 1/4 is 9/12 x 4/1=36/12=3

Answer:

m=81

Step-by-step explanation:

14 x 1.5 = 21

54 x 1.5 = 81

Answer:

m = 81

Step-by-step explanation:

divide by 54/14 from both sides.

you'll remain with 81/m

then divide with m/1 on both sides giving you m= 81

Answer:

28.125 hours

Step-by-step explanation:

250- the 25 dollar bonus=225

225/8 dollars an hour= 28.125 hours

Answer:

6.25

Step-by-step explanation:

250/8= 31.25

then take away the added bonus

31.25-25= 6.25

Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

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

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

[tex]c^{2} - b^{2} = a^{2}[/tex]

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

Answer:

30

Step-by-step explanation:

c=√a^2+b^2

a=√c^2-b^2 = √50^2-40^2 = 30

Answer: C, D, E

Step-by-step explanation: sub in -3 for x and 6 for y in all equations. Only c and d are true. In the graphs, E is the only one that has the point (-3,6)

Answer:

c, d, and e

Step-by-step explanation:

Answer:

54 students

Step-by-step explanation:

90× 60% = 54

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

4(2y - 3)

y = 2

Step 2: Evaluate

Answer:

4

Step-by-step explanation:

Substitute y for 2

4((2×2)-3)

Simplify

4(4-3)

Simplify further

4×1

4×1=4

Answer:

0

Step-by-step explanation:

ndjejdge Hell wkdbs hru osdhdvgd

Answer: i have no clue

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

We know that if we multiply 3 and 4, we get 12.

In other words, 3 × 4 = 12

Thus, 3 and 4 are factors of 12.

now

Given the expression

[tex](a+b+c)(d+e+f)[/tex]

The given expression consists of two factors which are:

We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.

For example, in the expression, 4b + 2, 4b and 2 are terms.

so,

Answer:

120

Step-by-step explanation:

Exterior angle theorem

50 + 70 = 120

Answer:

120

Step-by-step explanation:

the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer

Answer:

the answer is 9.85

Step-by-step explanation:

the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2

Answer:

The second table shows a linear function

Step-by-step explanation:

The linear function intersect at -2

Answer:

26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + y + 5

x = 6

y = 15

Step 2: Evaluate

Answer:

AAS

Step-by-step explanation:

im bad at this stuff you can take your risk or look at other answers

Therefore  [tex]\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

Ax=-2.54 Ay=2.32

The sum of two or more vectors is called the Resultant.

The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.

[tex]$$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$[/tex]

[tex]$\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$[/tex]

[tex]$\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

learn more about Vector sum: brainly.com/question/10435343

#SPJ4

Answer:

All real numbers greater than or equal to 0.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see that our x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:

[0, ∞) or x ≥ 0 or All Real Numbers greater than or equal to 0.

Answer:

He had 3 2/5 pies left when he got home.

Step-by-step explanation:

Hope this helped have an amazing day!

The fraction of candy cane pies that Dasher left is 8/5.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

Number of candy cane pies that Dasher order = 4

Fraction he ate = 3/5

Left = 4 - ate

Left = 4 - (3/5)4

Left = 4(1 - 3/5)

Left = 4(2/5)

Left = 8/5

Hence "The fraction of candy cane pies that Dasher left is 8/5".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Answer:

195 = 3 mph

Step-by-step explanation:

This is probly wrong but I tried