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2 years ago

Volume and surface area

Mathematics

1 answer:

Pavel [41]2 years ago

7 0

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

<h3>How to determine the volume of a composite figure</h3>

The volume of the composite figure is the sum of the volumes of the two figures: (i) a cone, (ii) a hemisphere. The volume formula of the figure is shown below:

$V = \frac{2\pi}{3} \cdot r^{3} + \frac{\pi}{3}\cdot r^{2}\cdot h$

If we know that r = 5.3 cm and h = 8.4 cm, then the volume of the composite figure is:

V = (2π/3) · (5.3 cm)³ + (π/3) · (5.3 cm)² · (8.4 cm)

V ≈ 558.900 cm³

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

To learn more on volumes: brainly.com/question/1578538

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angle c is the complement of angle 1, and angle s is the supplement of angle 1. what is the difference between the measures of a

Nataliya [291]

Hey there,

Your question/statement states: Angle $C$ is the complement of angle $1$ , and angle $S$ is the supplement of angle $1$ . what is the difference between the measures of angle $S$ and angle $C$

There is not difference between angle $S$ and $C$ The reason why would be because they both are congruent to angel $1$ . If they are both congruent to that angel, then they are both the same shape. One thing that could be the problem is that they may be a different size. Yes they can be a same shape, but there size if different. But, based on what the little excerpt above, I believe that both $S \ and \ C$ are the same.

Hope this helps.
~Jurgen

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4 years ago

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URGENT! The range of y=Arccosx is (-pi/2,pi/2). True or False?

Goshia [24]

false. range of $\cos^{-1}(x)$ is $[0,\pi]$

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3 years ago

What is 4(5n-7)=10n+2?variables on both sides

forsale [732]

Example:

About "Solving equations with variables on both sides"

Solving equations with variables on both sides :

To solve equations with variables on both sides, we have to bring the variables to the left side of equal sign and the numbers which or not having the variables, that is constants to the right side of equal sign.

Solving Equations with Variables on Both Sides - Steps

Step 1 :

Use the Distributive Property to remove the grouping symbols.

Step 2 :

Simplify the expressions on each side of the equals sign.

Step 3 :

Use the Addition and/or Subtraction Properties of Equality to get the variables on one side of the equals sign and the numbers without variables on the other side of the equals sign.

Step 4 :

Simplify the expressions on each side of the equals sign.

Step 5 :

Use the Multiplication or Division Property of Equality to solve.

If the solution results in a false statement, there is no solution of the equation.

If the solution results in an identity, the solution is all numbers.

Solving Equations with Variables on Both Sides -Examples

Example 1 :

Solve the following equation. Then check the solution.

5t - 9 = -3t + 7

Solution :

5t - 9 = -3t + 7

In order to get rid of -3t, we have to add 3t on both sides.

5t + 3t - 9 = -3t + 3t + 7

8t - 9 = 7

In order to get rid of -9, add 9 on both sides

8t - 9 + 9 = 7 + 9

8t = 16

Divide by 8 on both sides

8t/8 = 16/8

t = 2

Hope this helps you understand better!

(It is not the answer but it is an example so hope this helps and please give me Brainliest)

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4 years ago

Please help with math revision

valina [46]

Answer:

a) There are 1, 2, 3, 4, 5, 6 outcomes.

b) There are 3 odd numbers on this die, and they are: 1, 3, and 5

c) There are 3 even numbers on this die, and they are: 2, 4, and 6

a) There are 3 possible outcomes, green, blue, and red

b) There is a 1/3 chance of getting a red, because there is one red out of three possible outcomes.

c) P(R ∪/or G) = P(R) + P(G) - P(R ∩/and G)

replace those with actual values;

P(R or/∪ G) = 1/3 + 1/3 - (1/3 x 1/3) = 2/9

d) There are 2 other colors besides red out of 3, so therefore it is a 2/3 chance

e) The probability of getting a yellow is not mentioned therefore it is impossible.

a) There are 7 possible outcomes

b) There is only one 6 in the spinner out of 7 numbers, so it will be a 1/7 chance

c) There is no 8 mentioned in this spinner, hence this event is impossible.

d) P(2 ∪/or 4) = P(2) + P(4) - P(2 ∩/and 4)

replace them with actual values;

1/7 + 1/7 - (1/7 x 1/7) = 13/49

e) There are 3 even numbers in the spinner, so it is a 3/7 chance

f) There are 4 odd numbers in the spinner, so it is a 4/7 chance

g) There are 8 marbles in a bag, what is the probability of getting a marble? The event has to be certain if you're getting a probability of 1.

a) There are 5 possible outcomes.

b) There is one "T" in the word 'maths', so it would be a 1/5 chance of getting a t since there are 5 letters in total. Though, they want it in decimals so 1/5 = 0.2

c) There are 4 consonants in the word 'maths', so it would be a 4/5 chance of getting a consonant. Though, they want it in decimals so: 4/5 = 0.8

d) There are 3 letters in both 'tame' and 'maths', so 3 letters out of 5 letters (3/5) could be a letter used in 'tame' from 'maths'. Though, they want a percentage so: 3/5 = x/100, solving for x would equal 60%.

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2 years ago

Which equation is equivalent to 2x^2-24x-14=0

lana66690 [7]

Answer:

Step-by-step explanation:

I don't know what the answer is if I am not given choices, but here is one possibility.

2(x^2 - 12x - 7)

You could factor what is inside the brackets.

2(x - 12.557) (x + 0.557)

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3 years ago

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