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3 years ago

What are the domain and range of this relationship?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

3 0

Answer:

domain 0 ≤ y ≤ 72 and the range is 0 ≤ y ≤ 6

Step-by-step explanation:

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Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape

zaharov [31]

Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape, then five different ways are shown.

<h3>Further explanation </h3>

Area is the number of squares inside a two-dimensional shape.

Here are two important principles for finding area:

If two figures can be placed one on top of the other, then they have the same area so that they match up exactly.
We can decompose a figure (break a figure into pieces) and rearrange the pieces (move the pieces around) to find its area.

A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. For rectangle, shapes can be decomposed and rearranged back to rectangles to find the area. When decomposing and rearranging shapes the area of the polygon does not change.

The rectangle is shown in the picture below. After decompose the rectangle along the diagonal, we can varied the pieces to make various different shape. Picture below also shown the five different ways pieces from the rectangle.

<h3>Learn more</h3>

Learn more about rectangle brainly.com/question/2810576
Learn more about Decomposing and Rearranging brainly.com/question/3026941
Learn more about Area and Surface Area brainly.com/question/9265968

<h3>Answer details</h3>

Grade: 9

Subject: Mathematics

Chapter: Area and Surface Area

Keywords: Area, Surface Area, Decomposing, Rearranging, rectangle

5 0

3 years ago

8. Sheila buys two concert tickets from her friend.

dalvyx [7]

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52 x 2 = 105

Hence, markdown or discount Sheila's friend gave her is =

105 - 90 = 15

The answer is $15.

7 0

2 years ago

Read 2 more answers

A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s

Naddik [55]

Change=new-original
change=32 and 1/4-20 and 5/6
32 and 1/4-20 and 5/6=
32+1/4-(20+5/6)=
32+1/4-20-5/6=
32-20+1/4-5/6=
1/4 and 5/6
LCD=12
1/4 times 3/3=3/12
5/6 times 2/2=10/12

32-10+3/12-10/12=
12-7/12=
11+12/12-7/12=
11+5/12
the turtle went down so the change is negative

the change is -11 and 5/12 inches

5 0

3 years ago

Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

$1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297$

4 0

2 years ago

What is the volume (in cubic units) of a cone with a radius of 6

kykrilka [37]

Evaluate the volume with the given measurements.

Answer: 376.8 m^3

3 0

2 years ago