C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?

Answer:

Step-by-step explanation:

I'm going to go out on a limb here and guess that you are looking for the answer to the measure of arc DAB, since we already know that angle DAB is 78. Angle DAB is an inscribed angle. That inscribed angle intercepts arc DCB, and the theorem for that is that an inscribed angle is half the measure of the arc it intercepts. That means that arc DCB measures twice 78, so arc DCB measures 156 degrees. Since the measure around the outside of any circle is 360 degrees, arc DAB is 360 - 156 which is 204 degrees. If this is not what you are looking for, sorry and be more specific next time.

9514 1404 393

Answer:

  ∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

  V = 1/3πr²h

  V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

  100 m³ = 2πr³

  r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

  s² = r² +(6r)² = 37r²

  s = r√37

Then the lateral area is ...

  LA = πrs

  LA = π(∛(50/π) m)(∛(50/π) m)√37

  LA = ∛(2500π)√37 m² ≈ 120.911 m²

The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².

The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.

As we know that the volume of the cone is given by the formula,

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

Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,

 [tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]

Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,

[tex]V = 2\pi r^3[/tex]

Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,

[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]

We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as

[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]

Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,

[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]

Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².

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Answer:

24.6 ft

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

a^2 + (22 ft)^2 = (33 ft)^2

a^2 + 484 ft^2 = 1089 ft^2

a^2 = 605 ft^2

a = 24.6 ft

Answer: 24.6 ft

Answer:

It's C, 4/3! Just did the question and got it right

Step-by-step explanation:

The limit of f(x) as x approaches negative 1 is four thirds.

Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.

Given function is,

[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]

We have to find the value of the limit as x approaches to negative 1.

This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.

We have,

f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1

Substitute x = -1 in the above equation

x² - [tex]\frac{1}{3}[/tex] x  = (-1)² - (1 / 3) (-1)

            = 1 + [tex]\frac{1}{3}[/tex]

            =  [tex]\frac{4}{3}[/tex]

[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]

Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.

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Answer:

2 is scalene

3 is right

4 is right

5 is equalatirel

6 is scalene

7 is isocoles

8 is equalatirel

9 is right

Step-by-step explanation:

Answer:

2: scalene

3: right

4: right

5: equilateral

6: scalene

7: isosceles

8: equilateral

9: right

Step-by-step explanation:

2: A scalene triangle has no congruent sides

3: A right triangle has a 90 degree angle

4: A right triangle has a 90 degree angle

5: An equilateral triangle has 3 congruent sides

6: A scalene triangle has no congruent sides

7: An isosceles triangle has 2 congruent sides

8: An equilateral triangle has 3 congruent sides

9: A right triangle has a 90 degree angle

Answer:

From -6 to positive 1 the length is 7

Step-by-step explanation:

you still add'em.

Answer:

length of BD is 18

just count on the number line and ×2 because it is counting on by 2

Answer:

ok then

Step-by-step explanation:

Answer:

Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Answer:

5(8+12)

Step-by-step explanation:

0 = 2c +2.

Subtracting 2 from both sides, we get

0-2 = 2c +2 -2

-2 = 2c

Dividing both sides by 2, we get

-2/2 = 2c/2

-1 =c.

Plugging c=-1 in first equation,

k=2(-1) = -2.

So the answer is -2.

Answer:

B. 4 square feet

Step-by-step explanation:

The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.

Answer: 4

Base 4

hight 2

4x2=8 ÷ 2 or 1/2 Equals 4

Formula L x W ÷ 2 or 1/2

Answer:

y = 50x+40

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

First find two points on the line

(0,40) and (2 ,140)

The slope is

m= (y2-y1)/(x2-x1)

   = (140-40)/(2-0) = 100/2= 50

The y intercept is where it crosses the y axis which is 40

y = 50x+40

4y + 3y + 2y = 9y

9y is the answer

Plz mark me brainliest

answer is 100% correct

9514 1404 393

Answer:

  1.64 kg of pears

Step-by-step explanation:

If 4/5 of the weight is apples, the remaining 1/5 is pears.

  (1/5)(8.2 kg) = 1.64 kg

She sold 1.64 kg of pears.

Answer:

Weight of pears = 1 - Weight of apple

=> 1 - 4/5

=> 5 - 4/5

=> 1/5

Now

Weight of pears = ⅕ × 8.2

Weight of pears = 1.64 kg

[tex] \\ [/tex]

Answer:

Final volume, V2 = 8.57 liters

Step-by-step explanation:

Given the following data;

Initial volume, V1 = 7.7 liters

Initial pressure, P1 = 6.9 atm

Final pressure, P2 = 6.2 atm

To find the new volume V2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

[tex] PV = K[/tex]

[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]

Substituting into the equation, we have;

[tex] 6.9 * 7.7 = 6.2*V_{2} [/tex]

[tex] 53.13 = 6.2V_{2} [/tex]

[tex] V_{2} = \frac {53.13}{6.2}[/tex]

[tex] V_{2} = 8.57 [/tex]

Final volume, V2 = 8.57 liters

Therefore, the new volume is 8.57 liters.

Answer:

just greeting so that the other one can get a brainliest (would be kind if the favor would be returned :D )

Answer:

b = $375

Step-by-step explanation:

b = cost of the bench

t = cost of the table

t = b - 78

b + b - 78 = 672

2b = 750

b = $375

Answer:

Hello! answer: 13/16

Hope that helps!

the answer in the photo check it

Answer:

26 ÷ r

Step-by-step explanation:

Is your expression.

Using the keywords divide you can identify the expression, its showing you divide 26 by r, r in this case is your unknown value(variable). This expression is showing what you divide. You can also consider this as 26/r

Answer:

26/r

Step-by-step explanation:

So when they say a number they are meaning r.

Now lets break this into two simpler pieces.

When they say dividing by r they mean over r, or:

[tex]\frac{}{r}[/tex]

They say 26 is what is being divided by, which means 26 over, or:

[tex]\frac{26}{}[/tex]

Now we just need to combine these two pieces together:

[tex]\frac{26}{r}[/tex]

So this is your answer!

Hope this helps!

Answer: It's B, C, F Hope it helps!

Step-by-step explanation: -3(t-7+5t+8) collect like terms -3(6t+1)

which would give you -18t-3

It C to because 1. expand by distributing terms -(18t+9)+6

2. Remove parentheses -18t-9+6

3. Collect like terms -18t+(-9+6) simplify and it would give you -18t+3  it also F because I collect like terms (-3t-15t)+(21-24) and you simplify and that would give you -18t-3 as well can you make me brainliest bye!

Answer:

A

Choice A point is just above (4,-1) by an increase of y by 2

Answer:

the last one: f(x) = 1/(x-3)

Step-by-step explanation:

Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).

The price of the rain jacket after a 20% discount will be 0.2r and the price of the rain jacket after a 40% discount will be 0.4r.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

A rain jacket that usually costs r dollars is available at a discount.

Drag and drop two expressions to show the correct price of the rain jacket in the spaces provided.

The price of the rain jacket after a 20% discount will be

→ 0.2r

The price of the rain jacket after a 40% discount will be

→ 0.4r

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Answer:

The answer is 6.32

Step-by-step explanation:

According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.

CD= Altitude

CD^2= 4 times 10

or

CD= The square root of 4 times 10

Square root of 4 times 10 is 6.3245553203

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

In ΔBDC and ΔABC, the two angles are given,

∠D = ∠C = 90°

∠B = ∠B {Common}

Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,

CB / AB = CD / AC = DB / CB

Now, the ratio can be solved as,

CB / AB = DB / CB

CB / 14 = 10 / CB

CB² = 14 × 10

CB = √140

Further, in triangle ABC using the Pythagorean theorem, we can write,

AB² = CB² + AC²

14² = (√140)² + AC²

196 - 140 = AC²

AC = √56

Again, using the ratio of the similar triangle, we can write,

CD / AC = DB / CB

CD / √56 = 10 / √140

CD = (√56 × 10)/√140

CD = 6.32 units

Hence,  the length of CD is 6.32 units.

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Answer:

Step-by-step explanation:

$24-$18

-6$

it is decrease

so,

decrease %=$6/$24*100

=600/24

=25%

Answer:

its a decrease of 25%

Step-by-step explanation:

1/4 of 24 is 6 and if you subtract 6 from 24 its 18 and 1/4 is 0.25 so its 25%.

Answer:

The additive inverse of 36 is −36.

Step-by-step explanation:

Answer:

-36.

Step-by-step explanation:

Additive inverses are basically the opposite of the number, for example, since 36 in this case was positive you need to make it negative.

Answer:

A. 16 × 10¯⁷

B. 2 × 10⁷

Step-by-step explanation:

A. 8×10¯³ × 2×10¯⁴

Recall:

Mᵃ × Mᵇ = Mᵃ⁺ᵇ

Thus,

(8×10¯³) × (2×10¯⁴) = (8×2) × 10¯³ ⁺ ¯⁴

= 16 × 10¯³¯⁴

= 16 × 10¯⁷

Therefore,

(8×10¯³) × (2×10¯⁴) = 16 × 10¯⁷

B. (6×10²) ÷ (3×10¯⁵)

Recall:

Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ

Thus,

(6×10²) ÷ (3×10¯⁵) = (6/3) × 10² ¯ ¯⁵

= 2 × 10²⁺⁵

= 2 × 10⁷

Therefore,

(6×10²) ÷ (3×10¯⁵) = 2 × 10⁷

Answer:

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Step-by-step explanation:

From the given information:

Let assume the population is denoted by L

The rate of change of the young adults per year given  can be represented as;

[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]

where;

x = 0 since 2010

[tex]dL = -x^2 +90x -200 dx[/tex]

[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]

[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]

here;

L(0) = 31000

∴

[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]

C = 31000

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]