Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.

Answer:

15 white cubes

Step-by-step explanation:

Given

[tex]White\ Cubes = -1[/tex]

[tex]Black\ Cubes = +1[/tex]

[tex]Number\ of\ Black\ Cubes = 15[/tex]

Required

Determine the number of white cubes needed to represent 0

To solve this question, we make use of the following equation.

[tex]Black\ Cubes +White\ Cubes = 0[/tex]

If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15

Substitute +1 * 15 for the Black Cubes

[tex]+1 * 15 +White\ Cubes =0[/tex]

[tex]+15 +White\ Cubes =0[/tex]

Collect Like Terms

[tex]White\ Cubes = 0 - 15[/tex]

[tex]White\ Cubes = - 15[/tex]

Recall that 1 white cube is worth -1

So, the number of white cubes is:

[tex]Number = \frac{-15}{-1}[/tex]

[tex]Number = 15[/tex]

Hence, the student needs 15 white cubes

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

Answer:

13.4

27.1

8.8

Step-by-step explanation:

hope that helps

Answer: h = 4 and k = 1

Step-by-step explanation:

Just took the test aye

Answer:

64

Explanation:

If the garden is a square shape then all sides are equal.

One and all sides are 8 meters.

8 times 8 is 64

Answer:

-3/4

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The slope goes up one over three. if u need a whole equation then it would be y=1/3x

if you need a slope intercept equation then it would be y=1/3x-4.

Answer: -5,3

Step-by-step explanation: the bottom boxes on the left are negative so i counted until the dot was and thats how i got my negative five. For the three I did the same thing just the right side inst negative so that is how i got 3.

Answer:

42sq

Step-by-step explanation:

       5:7

30 sq: x sq

30/5=6 sq for 1 of the ratio

6*7=42 sq for 7 of the ratio

Answer: 2/3

Step-by-step explanation:

Number of red cubes = 2

Number of green cubes = 1

Total cubes in the bag = 3

The question relates to a probability with replacement. The probability of getting two reds will be the probability of picking red the first time multiplied by the probability of picking red the second time. This will be:

= 2/3 × 2/3

= 2/3

Answer:

It is in static equilibrium

Explanation:

edge 2021

The box is in static equilibrium, with a net force of 0 N.

Option D is the correct answer.

Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.

In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.

We have,

The box is at rest and is not moving.

This means that the net force acting on the box is zero.

From the free-body diagram,

We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.

Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.

So,

The box is in static equilibrium, with a net force of 0 N.

Thus,

The box is in static equilibrium, with a net force of 0 N.

Learn more about static equilibrium here:

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Answer:

Step-by-step explanation:

Let's solve for x.

y+2x=−1

Step 1: Add -y to both sides.

2x+y+−y=−1+−y

2x=−y−1

Step 2: Divide both sides by 2.

2x

2

=

−y−1

2

x=

−1

2

y+

−1

2

Answer:

x=

−1

2

y+

−1

2

Answer:

Answers below

Step-by-step explanation:

Q1.  2x=−1−y

=

​2

​

​−1−y

​​

Q2.     −x=4−3y

x=−4+3y

x=3y−4

Answer:

The three sides have the same length.

Step-by-step explanation:

Answer:

B. Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

I think,  :-P

Answer:

5 = 25

3 = 15

Step-by-step explanation:

25/5 = 5

So, 5 x 5 = 25

      3 x c =

Then, 3 x 5 = 15

5 = 25

3 = 15

Answer: With what??? I don't see nun

Answer:

I do not see any files or papers attached.

Step-by-step explanation:

Answer:

tornado bc they are narrow and can cause great destruction :) hope I helped !

A tornado is the storm that is likely to cause quick destruction along a narrow path.

A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.

Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.

They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.

While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.

Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.

Hence,  tornado is the storm that is likely to cause quick destruction along a narrow path.

To learn more on Storms click:

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Answer:

x= 19/7

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

she gained 45 pounds which is 15/7 of 145

Answer:

Find each product: 12x × -44

I hope this helps!

Answer:

0) 12x-44

1) 12x-44

2) 12

Step-by-step explanation:

Hope it help, please give me brainlest! :)

Answer:

The amount charged for a hamburger is $11

Step-by-step explanation:

The function relating the amount d charged with the number of hamburgers is;

d = 3h + 8

The amount charged for a hamburger can be calculated by substituting the value 1 for h

Thus, we have;

d = 3(1) + 8 = $11

Answer:

I do not understand thank you for asking

Step-by-step explanation:

thank you

Answer:

B (2,22)

Step-by-step explanation:

Answer:

can we have more info please?

Step-by-step explanation:

Answer:-17

Step-by-step explanation:

45-28=17

Answer:

12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12

Answer:

9x$1.92

Step-by-step explanation:

Answer:

c=5b-25

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

-5,-13

I hope this helps

Step-by-step explanation:

7x+3 = 8x +1

x=2

the answer is 2

Answer:

0.45

Step-by-step explanation:

Divide 9 by 20.

Answer:

[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]

[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]

                                                                               [tex]\frac{1}{2}[/tex]  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]

[tex]Remainder =-9[/tex]