30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you

Answer:

Mean: 3.1

Median: 3

Mode: 2.25 appears 3 times

Range: 5 - 1.5 = 3.5

Mean = (4.75+2.25+3+3.5+1.75+2.25+1.5+5+4.5+2.25+2+3+2.65+4.8+3.5)/16

= 3.56625

Median = 3.50

Mode = 2.25

Range = 9.10

Answer:

length * width * height = volume

10 * 2 * 5.5 = 110 cubed inches

Answer:

24

Step-by-step explanation:

So, Dersan's path is a right triangle. You have to find the last side. You can use the triples or 6^2+8^2=c^2 but I'll use a triple.

3,4,5.

The last side is 10.

6+8+10=24

hope this helped!

Answer:

1 and 3

Step-by-step explanation:

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

The Euler's formula is given as,  F + V = E + 2, where:

Given that the pentagonal prism has the following dimensions:

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

https://brainly.com/question/1178790

Answer: 9 is mean and median is 6

Step-by-step explanation:

Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

Answer: Option 2

Step-by-step explanation:

At x=2

And

So the function is

The type of triangle defined by the following set of side lengths is an obtuse triangle

Triangles are 2-dimensional shapes with 3 sides and angles.

The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.

The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.

This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.

This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle

Learn more on obtuse triangle here: https://brainly.com/question/5023725

Answer:

Mean: 54
Median: 61.5
Mode: 0
Range: 54

Step-by-step explanation:

Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)

Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5

Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)

Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)

Answer:

X= (-c+b)÷b

or

X= -b×(c-b)

Step-by-step explanation:

C=b-bx

b-bx=c

-bx= c-b

-x=(c-b)÷b

x= -(c-b)÷b

or

-x= b×(c-b)

x= -b×(c-b)

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property formula:

A(B+C)=AB+AC

6(2f + 2)

Multiply.

6*2f=12f

6*2=12

Rewrite the expression down.

12f+12

I hope this helps! Let me know if you have any questions.

Answer:

12f + 12

Step-by-step explanation:

Step 1:  Distribute

6(2f + 2)

(6 * 2f) + (6 * 2)

12f + 12

Answer: 12f + 12

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

Answer:

Step-by-step explanation:

hello : 12=4x   and   x-3=0

Answer:

Volume of a sphere = 4/3 πr³

4/3 * 3.14 * r³ = 4000

4.19 * r³ = 4000

r³ = 4000 / 4.19

r = ∛1058

r = 10.19

Now, surface area = 4πr² = 4 * 3.14 * (10.19)²

S.A. = 12.56 * 104

S.A. = 1307

In short, Your Answer would be Option D) 1307 m²

Hope this helps!

Step-by-step explanation:

Answer:

[tex]\frac{1}{12}[/tex] Km

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

here A = [tex]\frac{1}{144}[/tex] , then

s² = [tex]\frac{1}{144}[/tex] ( take square root of both sides )

s = [tex]\sqrt{\frac{1}{144} }[/tex] = [tex]\frac{1}{\sqrt{144} }[/tex] = [tex]\frac{1}{12}[/tex]

Answer:

side= 1/12 km = 0.083km

Step-by-step explanation:

The formula of area of a square is: A=side²

To get the length of each side, square root each side of the formula as shown below:

√A=√(side)²

√(1/144)=side

side= √(1/144) = 1/12 = 0.083km

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.

Answer:

the top answer should be stretched

Answer:

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]

[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]

An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:

1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.

2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.

The first part...

[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]

[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]    

[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]

[tex]\sqrt{25} = 5 < --Solve[/tex]

[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]

[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]

The second part...

[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]

[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]

Combine both parts...

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.

Data;

H_o = μ1 = μ2

H_o = μ1 ≠ μ2

This is a two-tailed test and population standard deviation will be used.

The z-stat is

[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]

The significance level is  α = 0.1 and the critical value for a two-tailed test is

[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.

Learn more on null hypothesis here;

https://brainly.com/question/15980493

Answer:

heya! ^^

so the question demands us to calculate what is 20% of 60.

that's quite simple. so let's see how we gótta do this question.

[tex]\\\\ \fbox{20\% \: \: of \: \: 60} \\ \\ \dashrightarrow \: \frac{2\cancel0}{\cancel{100}} \times 6\cancel0 \\ \\ \dashrightarrow \: 2 \times 6 \\ \\ \dashrightarrow \: 12[/tex]

hope helpful :D

Answer:

12

Hence, the answer is 12

Answer:

Step-by-step explanation:

1. Solve

12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality

12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality

x<-11.25 <=== negative divided by positive is always negative

2. Graph

1) you find -11.25 on the number line

2) you put an ray with an empty/hollow circle facing towards the negative side