What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

Answer:

Here we have the function:

y = f(x) = 3^x

Using the values:

x and (x + 1)

We need to find that the y-value increases by a factor of 3.

So we need to prove that:

f(x + 1) = 3*f(x).

Or we can see the quotient:

f(x + 1)/f(x) = 3

Here we can find the values:

f(x + 1) = y = 3^(x + 1)

f(x) = y' = 3^x

If we take the quotient, we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]

Here we can use the properties:

[tex]a^n*a^m = a^{n + m}[/tex]

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

Using these in the quotient equation we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]

Then:

[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]

[tex]f(x + 1) = 3*f(x)[/tex]

So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.

Answer:

(-9, -12)

Step-by-step explanation:

Given the expressions

y=x+3

y=1/3x-5

Equating both expressions;

y = y

x + 3 = 1/3x - 5

x - 1/3x = -5 -3

2/3 x = -8

x/3 = -4

x = -12

Since

y = x+ 3

y = -12 + 3

x = -9

Hence the required solution is (-9, -12)

Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

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Answer:

below.

Step-by-step explanation:

408 = 2*2*2*3*17

1032 = 2*2*2*3*43

So the HCF is 2*2*2*3 = 24

24 = 2/1032 + p/408

24 - 2/1032 = p/408

p = (24 - 2/1032) * 408

p = 9791.21 to nearest hundredth.

Answer:

x = 3

Step-by-step explanation:

Let the altitude from B to AC intersect at point D.  Then BD is a height of the triangle with base AC

ΔABD is a 30-60-90 triangle since m∠A = 30

Therefore, AB = 2(BD)  or BD = AB/2 = (x+3)/2

Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)

= x(x + 3) = 18

[tex]x^{2} + 3x = 18[/tex]

[tex]x^{2} + 3x - 18 = 0[/tex]

(x + 6)(x - 3) = 0

x = -6  or x = 3

x cannot equal -6, so x = 3

In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:

[tex]X=3[/tex]

In this way, we can write the treated area of ​​the triangle as:

[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]

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Answer:

that does not make sense ?????????????????????????????????????????

Step-by-step explanation:

let AB when products meet the ground at c.

Answer:

3/20 1.5/10 15/100 15%

Step-by-step explanation:

done

Answer:

I think the answer is 15%

Step-by-step explanation:

15%of the marbles are blue.

[tex] \frac{3}{20} \binom{ \times }{ \times } \frac{5}{5} = \frac{15}{100} [/tex]

[tex] \frac{15}{100} = 15\%[/tex]

Answer:

Step-by-step explanation:

Answer: hi

Step-by-step explanation:

ha lol imma waste your time now

Answer:

Choice A

Step-by-step explanation:

y-intercept = -3

double-checked on calculator

Answer:

Total surface area = 536.6 cm²

Step-by-step explanation:

Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)

Area of rectangle (1) = Length × Width

                                  = 10 × 15

                                  = 150 cm²

Area of rectangle (2) = 10 × 15

                                   = 150 cm²

Area of rectangle (3) = 10 × 15

                                   = 150 cm²

Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                               = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Total surface area = 150 + 150 + 150 + 43.3 + 43.3

                               = 536.6 cm²

Answer:

 2 1/2 o 10 1/2

Step-by-step explanation:

q podría estar 6.5 unidades a la derecha ... oa la izquierda ... del punto p.

a la derecha: p + q ⇒ -4 + (6 1/2) = 2 1/2

a la izquierda: p - q ⇒ -4 -(6 1/2) = -10 1/2

Answer:

ooo me vengo xd

Step-by-step explanation:

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

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Answer:

the answer is 880 yards more

Step-by-step explanation:

1 mile is equal to 5280 feet or 1760 yards.

then subtract your two numbers that have the same unit (yards)

1760 yards - 880 yards = 880 yards

Answer:

Ask every tenth customer over the period of a week.

Step-by-step explanation:

Required

Select which of the options is true

(a) Every 5th male customer

This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample

(b) Every customer after 5:00pm

This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample

(c) Every 10th customer over the week

This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Answer:

Positive

Step-by-step explanation:

Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.

Answer:

Decreased by 4%

Answer:

556.5 cm²

Step-by-step explanation:

Area of trapezium :

Area = 1/2 (a + b)h

a = base length 1

b = base length 2

h = height

From the information given :

Distance between MN and PQ = Height, h = 21 cm

Base MN, a = 28 cm

Base PQ, b = 25 cm

Hence,

Area = 1/2 (28 + 25) * 21

Area = 1/2 (53) * 21

Area = 556.5 cm²

Answer:

DL

Step-by-step explanation:

Answer:

i believe it is skewed. sorry if its wrong

Step-by-step explanation:

Answer:

★ The answer is $5

Step-by-step explanation:

Hope you have a great day

Answer:

S

angle S would also be an obtuse angle measuring 118°

corresponding angle

Step-by-step explanation:

Answer:

s.

Step-by-step explanation:

s is a corresponding angle to the 118 angle.

Answer:

Option C: b is parallel which is; y = ½x - 1

Step-by-step explanation:

We know that if the slope of a line is m, then the slope of the line that is perpendicular to it would have be; -1/m.

In this question, m = ½

Thus, the slope of the line that is perpendicular to it is; -1/(½) = -2

However, to find the slope of the line parallel to it would mean that the value of m which is the original slope will remain the same. Original slope = ½, thus the only option with slope as ½ is option C where b is parallel with the equation; y = ½x - 1

Answer:

=2

Step-by-step explanation:

Answer: 2, 5

Step-by-step explanation:yes

Answer:

5+4+6=51 yes

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

14

Step-by-step explanation: