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anyanavicka [17]
3 years ago
7

if the sin of angle x is 4/5 and the triangle was dilated to be two times as big as the orginal, what would be the value of the

sin of x for the dilated triangle
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer:

There will be no change. It will still be 4/5

Step-by-step explanation:

When one performs a dilation of a triangle, all sides get affected. In this case, since the dilation is by a factor of two, the sides will double their lengths.

But recall that dilations will create similar triangles, which means that their angles at the vertices remain the same.

The trig functions of angles depend only on the actual angle they are applied to, so, since the angles remain the same, the sine value will stay the same: "4/5".

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Find the diameter(s) of circle O.
schepotkina [342]

Answer:

The diameter of the circle O is <em>12 units</em>

Step-by-step explanation:

There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of  

BC=6\sqrt{2}

and the triangle B0C is right

<u>Relations in the Circle</u>

The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.  

Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r

Applying Pythagoras's theorem:

BC^2=r^2+r^2=2r^2

Thus we have

2r^2=(6\sqrt{2})^2

2r^2=72

r^2=36

r=6

The diameter of the circle O is D=2(6) = 12 units

5 0
3 years ago
Dafes stickball team has six players.how many different six player battling lineups can they make ifdave must bat second and eit
aalyn [17]
Let us name the players A,Dave,Zack,Paul,E and F 
For the first position there are two candidades ( Zack / Paul ) 
For the second position there is only one candidate i.e. Dave 
For the third place there will be 4 candidates (out of Zack and Paul - 1 as one of them is already taken for the first position and A, E and F total-4) 
For the fourth place there will be 3 candidates ( out of the four available candidates in the 3rd place, one will be taken up for 3rd place ) 
For the fifth place there will be 2 candidates 
Finally, for the last place there will be only one candidate left. 
On multiplying the no. of available cadidates, we get 2 * 1 * 4 * 3 * 2 * 1 = 48 i.e. option (A) 
Please mention minor spelling mistakes 
For the second question: 
Let the no of dotted marbles be 'x' and no of striped marbles be 'y' 
then the equation will become as follows 
(y+6)/x = 3 
and 
(x+6)/y = (2/3) 
On solving the equations, we will get x = 10 and y = 24 
Total balls = 10+24+6 = 40 (option E) 
Answer 3 will be ) For the first edge, he can choose 3 paths 
For the second edge he can choose 2 paths for each path of its first edge's path 
For the third , he is bounded to move on the paths created by the first and the second edges hence 1 path for each path created by the first and the second edge together 
It will be multiplication of all the possibilities of the paths of the three edges differently......... 
i.e. 3 * 2 * 1 = 6 
6 0
4 years ago
3(x+1) + 1 + 2x = 2(2x + 2) + x
WARRIOR [948]
0 = 0
The input is an identity: it is true for all values
3 0
3 years ago
Jay is hanging 160 feet of Christmas garland on the three sides (two on the width and one on the length) of fencing that enclose
Setler [38]

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Given,

The measurement of the Christmas garland = 160 feet

The width of the fencing = w

The length of the fencing, l = 4w - 8

We have to find the length and width of the fencing.

Here,

Perimeter can be taken as 160. Because garland will cover the entire fencing.

Perimeter = 2(l + w)

160 = 2(4w - 8 + w)

160 = 2(5w - 8)

160/2 = 5w - 8

80 + 8 = 5w

88/5 = w

width = 17.6 feet

Now,

l = 4w - 8

l = 4 × 17.6 - 8

l = 70.4 - 8

length = 62.4 feet

That is,

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Learn more about perimeter here:

brainly.com/question/13023749

#SPJ1

3 0
1 year ago
What is the midpoint between 0.13 and .014
scoundrel [369]
First you add them together and divide by two,
cuz midpoint is basically the middle of two points

i am not quite sure if you are trying to say 0.14 or 0.014, is it a typo?
so i did both, see which one helps

(0.13 + 0.14) ÷ 2= 0.135

(0.13 + 0.014) ÷ 2 = 0.072
4 0
3 years ago
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