Use pythagorean theorem to solve the questions

Answer:

One of these numbers is a cube number which means that it could be 1,8, or 27 because those are the first three cube numbers.

If you go with one then you have to find two more numbers that add up to 35 and are a factor of 20, which is not possible.

Then you use 8, which means you have to find two numbers that add up to 26, and are factors of 20, which could be nothing, there aren't any.

Last you do 27 which means you need to find two numbers that add up to 9 and are factors of 27, which can be 4 and 5, because 4+5=9 and 4*5=20.

27,4,5

Hope this helps ;)

So, the triangle is equilateral, all its sides are equal⇒

AB=BC=AC=8

In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒

AO=OC=8:2=4

by the Pythagorean theorem

[tex]8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}[/tex]

Answer: BO=4√3

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

Answer:

(9,-6)

Step-by-step explanation:

The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.

6+3=9

-2+(-4)=-6

So the coordinates are (9,-6)

Answer:

196

Step-by-step explanation:

12*13+8*5

Answer:

$196

Step-by-step explanation:

First, you have to know how many total there are for each. In total, there are 13 books and 8 magazines. We also need to know how much all of these cost. So, you multiply 13 by 12 to find the total cost of the books. 13 books times 12 dollars each is $156. Now, we do the same for the magazines. 8 magazines times 5 dollars each is $40. To find how much she spent in all, you have to add the two numbers.

$156 plus $40 is $196.

Answer:

98.4

Step-by-step explanation:

Multiply 3.28 by 30

Answer:

$98.40

Step-by-step explanation:

3.28x30=98.4

Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

Juan would need to use his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour. This is solved by multiplying the number of quarters (4) in a cup with the total cups Juan needs (6).

In order to understand the problem, we need to consider that each cup contains 4 quarters. So, if 1 cup equals 4 quarters, then 6 cups, the amount Juan needs for his recipe, would be 6 multiplied by 4, which is 24. Therefore, Juan would need to fill his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour.

This is a problem of mathematics, precisely about ratios and proportions, commonly taught in middle school.

https://brainly.com/question/26974513

#SPJ3

Answer:

g(x)=9

Step-by-step explanation:

use a vertical line to determine what the y value is for g(x)

g(x)=9

Step-by-step explanation:

use a vertical line to determine what the y value is for g(x)

Answer:

Step-by-step explanation:

purple goes to the first

green goes to the third

teal goes to the last

orange goes to second

x = 41 cm

Here is why:

For this question we have to use the pythagorean theorem, which is used for right triangles. The hypotenuse will always be the last in this theorem.

[tex]a^2+b^2=c^2[/tex]

Plug in.

[tex]9^2+40^2=c^2[/tex]

[tex]81+1,600=c^2[/tex]

Add together.

[tex]1,681=c^2[/tex]

Now we will find the square root of 1,681, since c is squared.

[tex]\sqrt{1,681}[/tex]

= 41 cm

Answer:

b. 504

Step-by-step explanation:

In this case, we have to apply the permutation formula, since the order is important and it cannot be repeated. The formula is as follows:

nPr = n! / (n-r)!

From 0 to 9, there are 10 digits, but we must remember that the number 7 has already been used and cannot be repeated, therefore n = 9. And they are 4 digits but only 3 are needed, therefore r = 3.

Replacing:

9P3 = 9! / (9-3)!

nPr = 504

Therefore the answer is b.

Answer:

BF = 30

Step-by-step explanation:

Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus

BF = 0.5 × 60 = 30

The value of BF will be, 30 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In this picture;

B, D, and F are midpoints.

And, AC = 50, CE = 60 and BD = 35.

Here, C is midpoint of CE.

Hence, We get;

⇒ CD = 1/2 × 60

           = 30

Here, The length of BF is equal to the length of CD.

Hence, The value of BF = 30 units.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ5

Answer:

57.8  and 32.2 degrees

Step-by-step explanation:

Complementary angles = 90 degrees

90-57.8= 32.2

The solution to the system of linear equations represented by D and Dx is (x,y,z) = (5, 4, -11), which corresponds to option A.

To solve for Dx in the given system of linear equations, we multiply matrix D by the unknowns (x, y, z). So let's assume that Dx = (x, y, z).

By comparing the results of Dx and the given matrix, we can write the system of equations as:

By solving this system of equations, we can find that the solution is (x,y,z) = (5, 4, -11), which corresponds to the multiple-choice option A.

https://brainly.com/question/33609849

#SPJ11

To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ. By calculating the inverse of matrix D and substituting the values of Dx, we find that the solution is (5, 7, -9).

To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ

Let's use matrix inversion to solve for x. We know that Dx = Dⁿⁿ can be rewritten as x = Dⁿⁿ −1 Dx. To find Dⁿⁿ −1, we need to calculate the inverse of matrix D:

After calculating the inverse of matrix D, we can substitute the values of Dx into the equation x = Dⁿⁿ −1 Dx to find the solution.

Plugging in the values of Dⁿⁿ and Dx, we get x = (5, 7, -9).

https://brainly.com/question/34777099

#SPJ3

Answer:

D) 37 cars/hour

Step-by-step explanation:

148/4=37

Answer:

you can not plant 1 and a half of a seed

Step-by-step explanation:

Answer: the answer is the answer cannot be a whole number

Step-by-step explanation:

your welcome

Answer:

48°

Step-by-step explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° =  [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

[tex]x = arctan (\frac{10}{9})[/tex]

Using a calculator, the answer would be:

[tex]x = 48.0128[/tex]

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.

Answer:

A, the first one

Step-by-step explanation:

Answer:

I BELIEVE THAT THE ANSWER IS A.

The answer is D, because -2/3/2 = -4/3.

Answer:

the answer is D

Step-by-step explanation:

-2/ 3/2

= -2 × 2/3

= -4/3

Answer:

See below.

Step-by-step explanation:

First check that f(x) has a real value at x = 3:

f(3) = 3^2 + 5(3 - 2)^7

=  9 + 5 * 1^7

=  14,

So the first condition is met.

Now we check if limit as x approaches 3 exists.

As x approaches 3 from below f(x) approaches 14 and at x = 3 = 14.

As x approaches 3 from above f(x) approaches 14 and at x = 3 = 14.

These 3 conditions  shows that f(x) is continuous at x = 3.

The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 because it meets all the conditions of continuity: it is defined at x = 3, the limit of the function as x approaches 3 exists, and the limit equals the function's value at x = 3.

The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 if it satisfies the following three properties: the function is defined at x = 3, the limit of the function as x approaches 3 exists, and the function value at x = 3 is equal to the limit as x approaches 3.

Step 1

The function is defined at x = 3. When we substitute x = 3, we get f(x) = 3^2 + 5(3 - 2)^7= 9 + 5*1^7 = 14.

Step 2

The limit of the function as x approaches 3 exists. As x approaches 3 from both the left and right sides, the function takes the value 14.

Step 3

Finally, the limit as x approaches 3 is equal to the function's value at x = 3. In other words, the limit is 14, which is equal to the function's value when x = 3 (which is also 14).

Since the function satisfies all these conditions, we can say that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3.

https://brainly.com/question/32522941

#SPJ2

Answer:

12.57

Step-by-step explanation:

(╯°□°)╯︵ ┻━┻ ᶠᴸᴵᴾ ᵀᴴᴬᵀ ᵀᴬᴮᴸᴱ.

┻━┻ ︵ ヽ(°□°ヽ) ᶠᴸᴵᴾ ᵀᴴᴵˢ ᵀᴬᴮᴸᴱ.

┻━┻ ︵ ＼(`0`)/／ ︵ ┻━┻ ᶠᴸᴵᴾ ᴬᴸᴸ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ

ಠ_ಠ ᶜᴴᴵᴸᴰ. . .

ಠ_ಠ ᴾᵁᵀ.

ಠ__ಠ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ.

ಠ___ಠ ᴮᴬᶜᴷ.

(╮°-°)╮┳━┳

(╯°□°)╯︵ ┻━┻ ᴺᴱᵛᴱᴿ

(•_•)

<) )╯ᴮᴱᶜᴬᵁˢᴱ ᴵ'ᴹ

/ \

⊂_ヽ

 ＼＼ ＿

  ＼(　•_•) ᶠ

   <　⌒ヽ ᴬ

 　/   へ＼ ᴮ

  /  /　＼＼ ᵁ

  ﾚ　ノ   ヽ_つ ᴸ

 /　/ ᴼ

 /　/| ᵁ

　(　(ヽ ˢ

　|　|、＼

　| 丿 ＼ ⌒)

　| |  ) /

`ノ )  ᴸﾉ

(_／

Answer:

4pi

Step-by-step explanation:

Pi * r^2 = area of circle

r = 2

pi*2^2 =

4pi

Answer:

-11/3

Step-by-step explanation:

Answer:

C =56.52 ft

Step-by-step explanation:

The circumference is found by

C = 2*pi*r  where r is the radius

C = 2*3.14 * 9

C =56.52 ft

Answer:

choice C. y = 4

Step-by-step explanation:

Simplify  11^-4 / 11^-8

=  11^(-4 - (-8) ) =  11^(-4+8)  =  11^4

so

11^4 = 11^y

means  y = 4

Answer:

radious 7

diameter 14

Step-by-step explanation:

Final answer:

The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle.

Explanation:

The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle. Since the value of π is approximately 3.14159, you can divide the circumference of the circle by 2π to find the radius.

For example, if the circumference of the circle is 10 units, the radius would be 10/(2π) units.

Remember to use the appropriate units for both the circumference and the radius.

Answer: sac fungi

Step-by-step explanation:

Answer: fraction = 1/20 or 0.05

Step-by-step explanation:

Let's first convert metre to centimeter

1 metre = 100 centimeters

Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:

1/4 × 100 = 25

Then divide 25 into 5 places

25/5 = 5cm

If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?

The fraction = 5/100 = 1/ 20 or 0.05

Answer:

The had read the books for 12 minutes.

Step-by-step explanation:

Let the number of minutes be x.

Tess = 51 + 1x

Ronald = 15 + 4x

When both read the same number of pages :

51 + 1x = 15 + 4x

3x = 36

x = 12

Answer:

52

Step-by-step explanation:

Of means multiply and is means equals

25% * W = 13

Changing to decimal form

.25W =13

Divide each side by .25

.25W/.25 = 13/.25

W =52

Answer:

C =75.36 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2 *3.14 *12

C =75.36 cm