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Ainat [17]
3 years ago
12

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil

l? Do not round your answer.
Mathematics
1 answer:
garik1379 [7]3 years ago
8 0

Answer:

72\pi\ in^{3}

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

V=\pi r^{2}h

we have

r=6/2=3\ in -----> the radius is half the diameter

h=12\ in

substitute the values

V=\pi (3)^{2}(12)=108\pi\ in^{3} ------> exact value

step 2

Calculate  2/3 of the volume

V=(2/3)108\pi=72\pi\ in^{3}

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2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.
Alexeev081 [22]

Answer:

\frac{18}{40}=0.45

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

\frac{18}{40}=0.45

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

S_{80}=0.503\\S_{120}=0.50

6 0
3 years ago
In what career would you most likely apply concepts from geometry?
Nitella [24]

Answer:

- Architect

- Cartographer and Photogrammetrist

- Drafter

- Mechanical Engineer

- Surveyor

- Urban and Regional Planner

Step-by-step explanation:

Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.

Cartographers utilize geographic data to create or update maps for use in education, as well as environmental presentations.

Using the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.

Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures.

Surveyors use geometry to take exact measurements of boundaries for different types of property.

Urban and regional planners rely on the same geometry practices used by surveyors when examining the positives and negatives of introducing new and updated plans for a community.

* Not my own words. This is the website if you need more info;

https://study.com/articles/jobs_that_involve_geometry.html

8 0
2 years ago
Read 2 more answers
In the
muminat

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

4 0
2 years ago
(8y²)(-3x²y²)(2/3xy⁴)<br><br> HELP PLEASEEEEEEEE
IRINA_888 [86]

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

−

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

6 0
2 years ago
5. Simplify the expression 49. (1 point)
padilas [110]

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

4 0
2 years ago
Read 2 more answers
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