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3 years ago

What is the multiplicative inverse of 1.5

Mathematics

1 answer:

Valentin [98]3 years ago

8 0

Since 1.5 can also be written as 3/2, and inverse is 2/3

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The

svet-max [94.6K]

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

6 0

3 years ago

What is 2(5-3v)+9v=28?

almond37 [142]

10-6v+9v=28
10+3v=28
-10 -10
3v=18
3 3
v=6

7 0

3 years ago

Read 2 more answers

In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level o

ANTONII [103]

Let n = required random sample size.

Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.

6 0

3 years ago

romanna [79]

<h3>Answer:</h3>

room 3 or 4

<h3>Explanation:</h3>

We assume the inequalities tell the rooms that were checked and found empty.

The solution to 3) is ...

... 2x + 3 > 11

... 2x > 8 . . . . . subtract 3

... x > 4 . . . . . . .divide by 2

The solution to 4) is ...

... -3x > -9

... x < 3 . . . . . . divide by -3

Thus, rooms greater than 4 and less than 3 were found empty. Rooms 3 and 4 were not checked, so either one could hold Nessie.

_____

The other inequalities have solutions that are already covered by the solutions to these.

1) x < -1 . . . . after subtacting 4

2) x > 5 . . . . after multiplying by 5

8 0

2 years ago