Short Answer
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Are the two triangles similar? How do you know?

Answer:

169.56m^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Area is:

[tex] \bf \underline{ \underline{Given : }}[/tex]

[tex] \bf \underline{ \underline{To \: Find \: Out:}}[/tex]

Find the area of given rectangle.

[tex] \bf \underline{ \underline{Solution:}}[/tex]

As we know that,

Area of rectangle = Length × Width

[tex] \rightarrow \: 4 \sqrt{2} \times 3 \sqrt{2} [/tex]

[tex] \rightarrow \: 12 (\sqrt{2}) {}^{2} [/tex]

[tex] \rightarrow \: 12 \times 2[/tex]

[tex] \rightarrow \boxed{24 \: sq. \: inches}[/tex]

Answer:

D. (2,5)

Step-by-step explanation:

Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.

Probabilities are used to determine the chances of an event. The true statements from the 5 options are:

Given that:

[tex]Die =\{1,2,3,4,5,6,7,8\}[/tex]

[tex]Number = \{1,2,5,7,8\}[/tex]

The possible outcomes are:[tex]S = \{(1,1),(1,2),(1,5),(1,7),(1,8),(2,1),(2,2),(2,5),(2,7),(2,8),(3,1),(3,2),(3,5),(3,7),(3,8)\\(4,1),(4,2),(4,5),(4,7),(4,8),(5,1),(5,2),(5,5),(5,7),(5,8),(6,1),(6,2),(6,5),(6,7),(6,8),\\(7,1),(7,2),(7,5),(7,7),(7,8),(8,1),(8,2),(8,5),(8,7),(8,8)\}[/tex]

The sum of the outcomes are:

[tex]S = \{2,3,6,8,9,3,4,7,9,10,4,5,8,10,11,5,6,9,11,12,6,7,10,12,\\13,7,8,11,13,14,8,9,12,14,15,9,10,13,15,16\}[/tex]

Rearrange

[tex]S = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,\\12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(S) = 40[/tex]

Next, we test the options

(1) The game is unfair

The question implies that the eight sided die is fair. This means that the game is fair.

Option (1) is false.

(2) Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]

The multiples of 3 in the sample space are:

[tex]3's = \{3,3,6,6,6,9,9,9,9,9,12,12,12,15,15\}[/tex]

[tex]n(3's) =15[/tex]

The probability is then calculated as:

[tex]P(3's) = \frac{n(3's)}{n(S)}[/tex]

[tex]P(3's) = \frac{15}{40}[/tex]

Simplify

[tex]P(3's) = \frac{3}{8}[/tex]

Option (2) is true

(3) Probability of even sum is [tex]\frac{1}{2}[/tex]

The even outcomes are:

[tex]Even =\{2,4,4,6,6,6,8,8,8,8,10,10,10,10,12,12,12,14,14,16\}[/tex]

[tex]n(Even) = 20[/tex]

The probability is then calculated as:

[tex]P(Even)= \frac{n(Even)}{n(S)}[/tex]

[tex]P(Even)= \frac{20}{40}[/tex]

Simplify

[tex]P(Even)= \frac{1}{2}[/tex]

Option (3) is true

(4) Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

The outcomes of a sum greater than or equal to 12 are:

[tex]Sum \ge 12 = \{12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(Sum \ge 12) = 11[/tex]

The probability is then calculated as:

[tex]P(Sum \ge 12) =\frac{n(P(Sum \ge 12)}{n(S)}[/tex]

[tex]P(Sum \ge 12) =\frac{11}{40}[/tex]

Option (4) is true

(5) Probability of a sum less than 10 is [tex]\frac{21}{40}[/tex]

The outcomes of a sum less than 10 are:

[tex]Sum < 10 = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9\}[/tex]

[tex]n(Sum < 10) = 22[/tex]

The probability is then calculated as:

[tex]P(Sum < 10) =\frac{n(P(Sum < 10)}{n(S)}[/tex]

[tex]P(Sum < 10) =\frac{22}{40}[/tex]

Option (5) is false

Hence, the true statements are: options 2, 3 and 4.

Read more about probabilities at:

https://brainly.com/question/20954641

Answer:

2.) The probability of getting a sum that is a multiple of 3 is 3/8

3.) The probability of getting a sum that is even is 1/2.

4.) The probability of getting a sum that is greater than or equal to 12 is 11/40

Explanation:

-5x + 42 = -8

-42 -42

-5x = -50

-5 -5

x = 10

Answer:the answer is a

Step-by-step explanation:

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

Answer:

all of it

Step-by-step explanation:

Answer: 1, 2, 3, 4, 5

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

421.88 cubic units

Step-by-step explanation:

The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 7.5 units? Round to the nearest hundredth when necessary

V =s³

s = 7.5 units

V = (7.5 units)³

V = 421.875 cubic units

Approximately = 421.88 cubic units

Answer:  24.75

Step-by-step explanation:

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

Answer:

A

Step-by-step explanation:

Fill in the x and y into the equation you provided, A is the only one that is true

Answer:

A) (0,0)

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

Find the price of the sweater by dividing 1.45 by 0.0725

1.45/0.0725

= 20

So, the sweater was $20

Answer:

you added 6

Step-by-step explanation:

how the number order goes.

Answer:

72ft^2 is the answer hope it helps

Answer:

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

take out the parantheses

2x + 6 = x - 4

Put the variable on the left side of the ecuation with the opposite sign

2x + 6 -x = -4

Put the six on the right side of the equation and change the sign

2x - x = - 4 - 6

simplify

x = - 4 - 6

x = -10

Answer:

Scott is wrong because he did not add the diameter that connects the arc

the fence is 41.12 feet. He would buy 42 feet

Step-by-step explanation:

Circumference of a semicircle = πr + d

π = pi = 3.14

d = diameter = 16

r = radius = 16/2 = 8

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

( 3.14 x 8) + 16 = 41.12 feet

Answer:

153 batches

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Each of the provided angles are also a part of linear pairs, so 180-145=35

180-100=80

35+80=115

To solve for the final angle/the one they are wanting

180-115=65

Answer:

12 dollars

Step-by-step explanation:

100%-15%=85%

68÷85%=80

The original price was 80 dollars.

Answer:

Squares have equal sides

Step-by-step explanation:

If LN is 46 then:

OM is also 46

PN is half of that so 23

ON and MN would be 32.53

Answer:

0.8906 ( 4 decimal places)

Step-by-step explanation:

With an equal probability of landing in either blue or red, then

Probability of success, p = 0.5

Number of trials, n = 6

Probability of landing on red atleast twice Can be obtained using a cumulative binomial probability ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x ≥ 2) = p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6)

Obtaining the individual probabilities and summing them up or we could use a cumulative probability option on either a calculator, excel or an online binomial probability distribution.

Using an online binomial probability calculator :

P(x ≥ 2) = 0.890625

P(x ≥ 2) = 0.8906 ( 4 decimal places)

Answer:

What do you mean?

Step-by-step explanation:

i guess a skill I want to improve is algebra..?

Answer:

Division ➗

Step-by-step explanation:

it not good at division ➗

Answer:

( x , y ) = ( 2 , 4 )

Step-by-step explanation:

Hope this helps!

Answer:

21w

Step-by-step explanation: