How many sides do 4 pentagons and 3 nonagons have in all?

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer:

2197:729

hope it helps

please mark brainliest

Answer:

12

Step-by-step explanation:

your welcome :)

In logic, an inference is a process of deriving logical conclusions from premises known or assumed to be true. The term derives from the Latin term, which means "bring in." An inference is said to be valid if it's based upon sound evidence and the conclusion follows logically from the premises.

hope this helped <3

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Explanation:

Refer to the diagram below. I've added the variables b, c and d to the drawing you posted.

The variable b is an inscribed angle, while variables c and d are arc measures.

For any inscribed quadrilateral, the opposite angles always add to 180. They are supplementary angles. This means the 110 degree angle and the angle b add to 180, so,

110+b = 180

b = 180-110

b = 70

Inscribed angle b is 70 degrees.

Next, we apply the inscribed angle theorem. This theorem says that the inscribed angle doubles in value to get its corresponding central angle measure (and therefore it's arc measure as well).

In other words, inscribed angle b = 70 doubles to 2*70 = 140 degrees. This represents the combination of arcs c and d. Therefore, c+d = 140. Note how inscribed angle b cuts off this longer arc.

We don't need to find the measure of arc c or arc d individually. We just need to find the measure of arc 'a'.

The four arc measures (161, a, c and d) all combine to a full 360 degree circle. Let's add those four parts, and set that equal to 360. We'll keep in mind that c+d = 140 as well.

So...

a+c+d+161 = 360

a = 360-161 - (c+d)

a = 360-161 - (140) ..... replaced "c+d" with "140"

a = 59

Arc 'a' is 59 degrees

Step-by-step explanation:

I really want to help you but there's no question.

Answer:36.36%

Step-by-step explanation:

%change=100 X (final-inital value) divided by initial

Answer:

-1, 3, -3

Step-by-step explanation:

I don't see the graph, but you can solve by factoring:

[tex]x^3+x^2-9x-9=0\\x^2(x+1)-9(x+1)=0\\(x+1)(x^2-9)=0\\(x+1)(x+3)(x-3)=0[/tex]

By the factor theorem, the solutions of f(x) are -1, 3, and -3.

The requried solutions of x³ + x² - 9x - 9 = 0 is x = -3, -1, 3. Option C is correct.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
To find the solutions of equation x³ + x² - 9x - 9 = 0, we need to find the x-intercepts of the graph of the function f(x) = x³ + x² - 9x - 9.

From the graph, we can see that the function intersects the x-axis at three points, which are approximately -3, -1, and 3. Therefore, the solutions of the equation are x = -3, x = -1, and x = 3.

Thus, the correct answer is x = -3, -1, 3.

Options A, B, and D are incorrect because they either do not include all three solutions or include additional solutions that are not present in the graph of the function.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

Answer:

[tex]\dfrac{x+y}{2}[/tex]

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

[tex]R=\dfrac{x+y}{2}[/tex]

So,

If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.

Answer:

Percent- 30

decimal-0.3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

2 laborers and 33 ops

Step-by-step explanation:

Given

Let:

L = Laborers

P = Ops

From the statements, we have:

[tex]L + P = 35[/tex] -- total people hired; and

[tex]140P + 100L = 4820[/tex] ---number of hirees

Required

Solve for L and P

Make L the subject in: [tex]L + P = 35[/tex]

[tex]L = 35 - P[/tex]

Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]

[tex]140P + 100(35 - P) = 4820[/tex]

[tex]140P + 3500 - 100P = 4820[/tex]

Collect like terms

[tex]140P - 100P = 4820 - 3500[/tex]

[tex]40P = 1320[/tex]

Solve for P

[tex]P = 1320/40[/tex]

[tex]P = 33[/tex]

Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]

[tex]L = 35 - 33[/tex]

[tex]L = 2[/tex]

Answer: the length of the base is 50 cm

Step-by-step explanation:

Answer:

yy

Step-by-step explanation:

bi

Answer:

The Degree of the polynomial is 3

Answer:

A for ever I  P=25

b. 5.76

Step-by-step explanation:

Answer:

Answer is in the image below

Answer:

P is simply the mark or letter that the point will be called. In this case we have -3,-5. You will move left 3 spaces from the origin and down 5 places from the spot you marked -3. After that will be point P

Answer:

6 ft

Step-by-step explanation:

The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.

hope is helped!

Answer:

I completely forgot how to do this I'm sorry

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

brainliest?

Answer:

Change

Step-by-step explanation:

I call what I get back in return, change. The money we get back if you pay extra for something you buy.

Hope this helps!

Answer:

The answer is c It is hard to explain so sorry

Answer:

C

Step-by-step explanation:

The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.

Answer:

4x-5y=10

Step-by-step explanation:

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

Answer:

2.25kg

Step-by-step explanation:

500g+850g+900g=2250

2250/1000=2.25kg

Answer:

9

my bad I realized mistake

Answer:

perimeter of square =4×side

36 inches =4×side

36 inches/4 =side

9 inches =side

Answer:

a=7

Step-by-step explanation:

These two angles are complementary and the sum of their measures is 90°.

Therefore, we can create the equation: (5a+3)+52=90.

1. combine like terms. the equation becomes 5a+55=90.

2. -55 to both sides of the equation. the equation becomes 5a=35.

3. /5 to both sides of the equation. we can reach the conclusion that a=7

Answer:

here go the answer hope it help

Step-by-step explanation:

Answer:

Yes, that is correct.

Step-by-step explanation: