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2 years ago

How is the volume of a composite figure calculated? Describe the process for finding the volume of a composite figure.

Mathematics

2 answers:

Ivanshal [37]2 years ago

8 0

Answer: Calculate the volume of each individual figure and add them.

Step-by-step explanation:

1. A composite figure is formed by two or more figures.

2. Then, to calculate the volume of the composite figure you must calculate the volume of each individual figure and then you must add all the volumes obtained.

3. For example, if a composite figure has a cylinder and a cone, the volume of the composite figure will be the sum of the volume of cylinder and the volume of the cone:

$V=V{(cylinder)}+V{(cone)}$

Marrrta [24]2 years ago

4 0

Sample Response: First, each three-dimensional shape that makes the composite figure needs to be identified. Apply the formulas for each shape to determine its volume. Finally, find the sum of the shape’s volumes.

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Solve for x????????????????????

12345 [234]

$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\: Concept }}}$

➣ Given two paris are linear pairs
➣ We know that sum of linear pairs is equal to 180⁰
➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.

$\large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}$

➣ let given two angles be p and q that is
➣ angle p is 3x-4
➣ angle q is 3x-8
➣ we have to find "x" in the given expressions

$\large\underline{ \boxed{ \sf{✰\: let's\:solve }}}$

$\rm\angle \: p + \angle \: q = 180 \degree \\$

★ Substituting values

$\rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}$

$\qquad \qquad\rm { \pink➾6x = 192} \\ \qquad\qquad\rm { \pink➾ \: x = \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}$

★ Hence the value

$\boxed{↪\underline{ \boxed{ \rm{\: x = 32\green✓}}}↩}$

$\rule{70mm}{2.9pt}$

Hope it helps !

5 0

1 year ago

if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence $n = 9$ .

Of the six sides, 2 are 3 or 4, hence $p = \frac{2}{6} = 0.3333$

The desired probability is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

$P(X < 2) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026$

$P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117$

Then:

$P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857$

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0

2 years ago

30km=?miles 44,000in=?cm 21ft=?m 0.75miles=?dam 133yards=mm Please show your work

kherson [118]

So there is this chart my teacher showed me to help find the answers to your questions I will send a picture but here are the answers

30km is 18.642m
44,000in is 111760cm
21ft is 6.401m
0.75m I’m not for sure sorry but
133yards is 121615.2mm

I hope that helps sorry I did not understand the one question 0.75m

5 0

3 years ago

The regression equation for predicting number of speeding tickets (Y) from information about driver age (X) is Y = -.065(X) + 5.

ivolga24 [154]

Answer:

c. 4.27

Step-by-step explanation:

We have been given the regression equation of for predicting number of speeding tickets (Y) from information about driver age (X) as $Y=-0.065(X)+5.57$ .