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3 years ago

An isometry preserves all all the following except

1 answer:

iogann1982 [59]3 years ago

5 0

The correct answer to this question is letter "C. distance." An isometry is a transformation that preserves distance. Isometry is a geometrical transformation that preserves geometrical properties such as distance. In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving injective map between metric spaces.

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I need help with this

oksian1 [2.3K]

Area of a triangle is 1/2 x base x height:

Area = 1/2 x 8 x 20.5 = 82 square cm.

It is hone-half the area of a rectangle with dimensions 20.5 by 8 cm.

3 0

4 years ago

Read 2 more answers

At a local sandwich shop the average customer spends $25 at dinner with a standard deviation of $2.30. In a simple random sample

oee [108]

Answer:

The probability that the mean receipt for dinner is between $24.50 and $25.50 is

P(24.50≤ x ≤ 25.50)= 0.8324

Step-by-step explanation:

Step(i):-

Given mean of Population(μ) = $25

Given standard deviation of the Population (σ) = 2.30

Sample size 'n' = 40

Let 'X' be the random variable in normal distribution

Given X₁ = 24.50

$Z_{1} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{24.50-25}{\frac{2.30}{\sqrt{40} } } = -1.375$

Given X₂ = 25.50

$Z_{2} =\frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{25.50-25}{\frac{2.30}{\sqrt{40} } } = 1.3751$

Step(ii):-

The probability that the mean receipt for dinner is between $24.50 and $25.50

P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)

P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)

P(24.50≤ x ≤ 25.50)= 2 A( 1.375)

= 2 × 0.4162 ( from normal table)

= 0.8324

Final answer:-

The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324

4 0

3 years ago

What's the equation?

Tasya [4]

C = 3/4T+2

16 minutes to talk

3 0

3 years ago

What is the area of a regular hexagon with a side length of 5.2 centimeters and a distance from the center to a vertex of 5.2 ce

muminat

The area of a regular hexagon is A=(3√3/2)a², a is the side length.
so A=(3√3/2)*5.2²=70.25

C is the correct answer

6 0

3 years ago

Find the surface area of the cone shown. Find the surface area of a cone with the same slant height and triple the diameter. Use

KonstantinChe [14]

Answer:

surface area = 8704.08 cm²

Step-by-step explanation:

The surface area of a cone is given by the formula;

SA = πr² + πrL

Where r is radius and L is slant height

We are given;

Diameter = 24cm

Slant height; L = 41 cm

We are told that this new cone has a diameter that is triple of the one given.

Thus, new diameter = 24 x 3 = 72 cm

Thus, Radius; r = 72/2 = 36 cm

SA = π(36)² + π(36)(41)

SA = (3.14 * 1296) + (3.14 * 1476)

SA = 8704.08 cm²

4 0

3 years ago