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olga nikolaevna [1]
3 years ago
11

The spinner is divided into 10 equal sections.

Mathematics
2 answers:
WITCHER [35]3 years ago
7 0

Answer:

spinning a 4 or 5, spinning a number less than 3, spinning a number greater than 8

Step-by-step explanation:

The spinner has 10 spaces, if we took a 4/5 (2) and made it into a fraction (2/10) then simplified is (1/50---Less than 3, so that means not 3 itself either, so a 1 or a 2, so (2/10), then simplify it, (1/5)--- Greater than 8, so not 8 itself, so 9 or a 10 (2/10) then simplified, (1/5)

Vikki [24]3 years ago
4 0

Answer:

A, B and D

Step-by-step explanation:

Total numbers on spinner=10

We have to find the event that has theoretical probability of exactly 1/5.

A.Spinning a number less than 3

Number less than 3 = 1  and 2

Favorable cases=2

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}=\frac{2}{10}=\frac{1}{5}

Hence,It is true.

B.Spinning a 4 or 5

Favorable cases=2

Probability ,P(E)=\frac{2}{10}=\frac{1}{5}

Hence,It is true.

C.Spinning odd number

favorable cases=1,3,5,7,9=5

Probability,=\frac{5}{10}=\frac{1}{2}

D.Spinning a number greater than 8

Number greater than 8=9 and 10

Favorable cases=2

Probability ,P(E)=\frac{2}{10}=\frac{1}{5}

Hence,It is true.

E.Spinning a number less than 8

Number less than 8=7

Probability,P(E)=\frac{7}{10}

Option A, B and D are true.

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1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

6 0
2 years ago
Simply<br> (2k-9)^2+(k+2)^2=(2k+1)^2+(k-8)^2
vova2212 [387]

The square of a binomial expands as follows:

(a+b)^2=a^2+2ab+b^2

Expanding all the binomials, we have

4k^2-36k+81+k^2+4k+4=4k^2+4k+1+k^2-16k+64

Sum like terms:

5k^2-32k+85=5k^2-12k+65

Simplify terms appearing on both sides:

-32k+85=-12k+65

Move all terms involving k to the left and all numbers to the right:

-20k=-20

Divide both sides by -20:

k=1

6 0
3 years ago
A square has a perimeter of 52cm , what is the area ?
UNO [17]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The area is 169 square cm.

Find the value of each side (a square has 4 sides so divide by 4 ):

52/4 = 13

To find the area of a square, you only need 2 sides so multiply 2 sides:

13 x 13 = 139

Area = 139 square cm

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
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