Select the exclusion that fits best with this problem.

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

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P.S. Hello from Russia :^)

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.

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Answer:

-4.

Step-by-step explanation:

I am assuming that x means times here.

(4-2)^3-3x4

= 2^3 - 12

= 8 - 12

= -4.

Answer:

The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm

Step-by-step explanation:

I did it on the assignment

Answer:

The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm

Step-by-step explanation:

Answer:

y=1/4x-4

Step-by-step explanation:

Answer:

y=x+3

Step-by-step explanation:

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:

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:

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:

(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:

12.57

Step-by-step explanation:

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Answer:

4pi

Step-by-step explanation:

Pi * r^2 = area of circle

r = 2

pi*2^2 =

4pi

Answer:

Lee's house.

Step-by-step explanation:

Plot (-5, -1) on a graph and Lee's house is the closest and in the same quadrant.

Answer: LEE

Step-by-step explanation:

because its a negative and a negative.

Answer:

6 square feet

Step-by-step explanation:

Carpet has w= 8 ft and l = 12 ft

Reduced carpet has w' = 2 ft

Reduction factor is

Then

Area of small carpet

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:

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.

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Answer:

-9x + 6

Step-by-step explanation:

-6x−3(x−2)

Solution:

-6x−3(x−2)

-6x−3x+6

-9x + 6

Answer: $2.40

Step-by-step explanation:

$7.20 divided by 3.

Answer:

They will get $2.4 each

Step-by-step explanation:

Mrs Golub haas $7.20 to share between 3 grandchildren

To share it equally, she should divide the amount by 3, which is

$7.20/3 = $2.4

40.

Step-by-step explanation:

Base times height. This is a rhombus. 4 x 10 = 40. If you chop off the triangle to the right and place it on the left where 5 is, it'll be a rectangle. Formula for a rhombus is B x H, Base is 10, height is 4, and you get 40.

Answer:

x = 3.33

y = 0.33

Step-by-step explanation:

to evaluate for y in this system of linear equation we would say that let

4x-2y=6 ........................................................... equation 1

2x+y=7 ..............................................................equation 2

from equation 2

2x+y=7 ..............................................................equation 2

y = 7 - 2x........................................... equation 3

substitute for y in equation 1

4x-2y=6 ........................................................... equation 1

4x -2( 7 - 2x) = 6

4x - 14 + 2x = 6

6x = 6 +14

6x = 20

divide both sides by 6

6x/6 = 20/6

x = 3.33

put x into equation 3

y = 7 - 2x........................................... equation 3

y = 7 -2( 3.33)

y = 7 -6.667

y = 0.33

Final answer:

To solve for y using the Addition Method, first manipulate the equations to have opposite coefficients for y, add them to find x, and then substitute x back into one of the original equations to solve for y. The solution is x = 2.5 and y = 2.

Explanation:

The student is asking how to solve for y in a system of linear equations using the Addition Method. The given system of equations is:

4x - 2y = 6

2x + y = 7

To use the Addition Method, we aim to eliminate one variable by adding the equations. First, we manipulate the equations to have opposite coefficients for the y variable. Multiply the second equation by 2:

(2x + y) × 2 → 4x + 2y = 14

Now we have:

4x - 2y = 6  (Equation A)

4x + 2y = 14 (Equation B)

Add Equation A and Equation B:

4x - 2y + 4x + 2y = 6 + 14

8x = 20

x = 20 / 8

x = 2.5

Substitute x back into the second original equation to solve for y:

2(2.5) + y = 7

5 + y = 7

y = 7 - 5

y = 2

Hence, the solution to the system of equations is x = 2.5 and y = 2.

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:

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.

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Answer:21

Step-by-step explanation: The median is the number in the middle sorted from least to greatest, here 21 is the middle number.

Answer:

21

Step-by-step explanation:

Final answer:

To determine the amount of cheese used per pizza, divide the total amount of cheese (4.375 pounds) by the number of pizzas (50), which equals 0.0875 pounds of cheese per pizza.

Explanation:

To find out how many pounds of cheese are used per pizza, we calculate the cheese usage rate by dividing the total pounds of cheese by the number of pizzas. The given information tells us that 4.375 pounds of cheese are used for every 50 pizzas. To find the amount of cheese used per pizza, we divide 4.375 pounds by 50.

4.375 pounds ÷ 50 pizzas = 0.0875 pounds per pizza

Thus, the restaurant uses 0.0875 pounds of cheese for each pizza made.

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:

98.4

Step-by-step explanation:

Multiply 3.28 by 30

Answer:

$98.40

Step-by-step explanation:

3.28x30=98.4