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iogann1982 [59]
3 years ago
9

Using a compass and straight edge, construct a tangent line to a circle from a given exterior point. Evidence of your constructi

on must be shown to earn credit.

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0
In the figure attached, red circle A and red point B are the circle and external point of interest. Note that we must know where the center of circle A is. If we don't know that, there are construction techniques for finding it, but that is beyond the scope of this answer.

Step 1. Set your compass to a radius greater than half the length of segment AB. Here, we have made the radius AD.

Step 2. Draw arcs above and below the center of segment AB centered at A and B using the radius of Step 1. Here the "arc" is shown a a full (green) circle. Only the points where the arcs intersect (E and F) are of interest, so it is not necessary to draw the full circle.

Step 3. Identify the points of interesection (E and F) of the arcs of Step 2, then draw a line segment between them. This segment (EF) is the perpendicular bisector of AB. Mark point G where it intersects segment AB. As with the green circles, it is not necessary to draw the whole line EF, since we are only interested in the location of the midpoint of AB, which is point G.

Step 4. Using G as the center, and GA or GB as the radius, draw semicircle AHB. The point of intersection H is the only part of that (blue) circle of interest, so it is not necessary to draw the whole thing.

Step 5. Finish the consruction by drawing tangent line BH.

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Whats the volume of the solid?
tatuchka [14]

The volume of the solid will be equal to V=64 Cubic inches.

<h3>What is volume?</h3>

The space occupied by any solid object in the three-dimension is called as the volume.

Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.

So the volume of one cube will be:

V=a³=2³=8 cubic inches

Since total number of the cubes are 8 so total volume will be:

V=8x8=64 cubic inches

hence the total volume will be equal to 64 cubic inches`

To know more about volume follow

brainly.com/question/1972490

#SPJ1

3 0
2 years ago
Basher collected 4 1/3 basket of peaches and Orchard if each basket holds 21
miv72 [106K]
To do this you times 3 by 4 and add it on to the numerator of the fraction, to turn it into a top heavy fraction:
3*4 = 12
1+12/3 = 13/3

Then you multiply the numerator by 21 to work out what 21 times the fraction is:
13*21/3 = 273/3

Then you can divide 273 by 3 to get the final answer:
273/3 = 91

He will have 91 peaches overall.
Hope this helps! :)
6 0
3 years ago
PLEASE HELP ME!!!!!!
Sonja [21]

Answer:

\huge \red{ c_3 = - 1}

Step-by-step explanation:

c_1 = 1 \\  \\ c_n= - 2c_{n-1}+5 \\  \\ c_2 = - 2c_{2-1}+5 \\  \\ c_2 = - 2c_{1}+5 \\  \\ c_2 = - 2(1)+5 \\  \\ c_2 = - 2+5 \\  \\  \huge \purple{c_2 =3} \\  \\ c_3 = - 2c_{3-1}+5 \\  \\ c_3 = - 2c_{2}+5 \\  \\ c_3 = - 2(3)+5 \\  \\ c_3= - 6+5 \\  \\ \huge \red{ c_3 = - 1}

6 0
3 years ago
Please answer! I crossed out the ones you don’t have to complete.
Nina [5.8K]

Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

5.  x^-6 = \frac{1}{x^6}

6. 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7. a^{-3}b^0c^4=\frac{c^4}{a^3}

Step-by-step explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as: =5^{1+1+1}=5^3

a.a as a^{1+1}=a^2

b.b.b.b as: b^{1+1+1+1}=b^4

So, our result will be:

5^3a^2b^4c

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

Question:

Rewrite using positive exponent:

The rule used here will be: a^{-1}=\frac{1}{a^1} which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5) x^{-6} = \frac{1}{x^6}

6) 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7) a^{-3}b^0c^4=\frac{b^0c^4}{a^3}

We know that b^0=1 so, we get

a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}

4 0
3 years ago
URGENT <br> WILL GIVE BRAINLIEST ANSWER
Fynjy0 [20]
The major axis is 4 units long andyhe vertices are 4 units to the left/right.
3 0
3 years ago
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