Please help solve this

Which type of transformation maps trapezoid PQRS onto trapezoid P'Q'R'S'? reflection rotation translation dilation

Keith_Richards [23]

Answer:

Dilation.

Step-by-step explanation:

From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .

Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.

But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.

Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".

7 0

3 years ago

Read 2 more answers

Translate the sentence into an equation.

Ainat [17]

I'm not sure if interpreted your wording correctly but this is what I got...

w(4)+6=8

4 0

3 years ago

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

<u>Solution:</u>

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

<em><u>The total area of pyramid is given by:</u></em>

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

<em><u>The area of base is given as:</u></em>

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

<em><u>The lateral area is given as:</u></em>

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

<em><u>Summarizing the results:</u></em>

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0

3 years ago

A shipment of inexpensive digital watches, including that are defective, is sent to a department store. The receiving departme

Wittaler [7]

0.8926 percent of the time, the shipment will be rejected.

<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

<h3>According to the given information:</h3>

A delivery of 50 cheap digital watches, 10 of which are flawed.

A digital watch's likelihood of malfunctioning

P = 10/50

= 0.2

Size of sample: n = 10

Additionally, if they find one or more samples to be defective, they reject the entire cargo.

Making use of the binomial probability formula:

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

The random variable x should stand in for the quantity of defective watches.

The chance that the delivery will be refused is:

$\begin{aligned}&P(x \geq 1)=1-P(0) \\&=1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}\end{aligned}$

= 1 - (0.8)

= 0.8926

As a result, 0.8926 percent of the time, the shipment will be rejected.

To know more about binomial probability visit:

brainly.com/question/13072083

#SPJ4

I understand that the question you are looking for is:

A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected

3 0

2 years ago

Are these lines parallel or not: L1: (1,2), (3,1), and L2: (0,-1), (2,0)

Phoenix [80]

First find the slope of the first line

L1

m = ( y2-y1)/(x2-x1)

m = ( 1-2)/(3-1)

= -1/2

Now find the slope of the second line

L2

m= ( y2-y1)/(x2-x1)

= ( 0 - -1)/(2 -0)

= (0+1)/(2-0)

= 1/2

Parallel lines have the same slope

These lines do not have the same slope, they are different by a negative sign.

These lines are not parallel.

5 0

1 year ago