Find the whole. 10% of is 14.

HURRY PLEASE!!!!! Triangle RST is translated 2 units left and then reflected over the y-axis.

AVprozaik [17]

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).

If triangle translated 2 units left,

$(x,y)\rightarrow (x-2,y)$

and then reflected over the y-axis,

$(x-2,y)\rightarrow (-x+2,y)$

The relation between image and preimage is

$(x,y)\rightarrow (-x+2,y)$ ..... (1)

The vertices of image are

$S(-4,4)\rightarrow S'(6,4)$

$T(-1,4)\rightarrow T'(3,4)$

$R(-1,1)\rightarrow R'(3,1)$

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 5 is incorrect.

6. A reflection over the x-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 6 is incorrect.

Therefore the correct options are 1 and 2.

8 0

2 years ago

Read 2 more answers

two observers, Anna and Bryan. sight a kite at angles 44 degrees and 66 degrees. respictively. if anna is located 20m from the k

Arada [10]

Answer:

28.6m

Step-by-step explanation:

this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.

so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.

but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.

as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.

but again, we assume he is exactly on the other side of the kite.

anyway, each person creates a right-angled triangle with the kite:

there is the direct line of sight as the base line or Hypotenuse (c).

there is the line on the ground from the person to the point on the ground directly under the kite as one side.

there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.

and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).

let's start with Anna.

the side a of Anna's triangle is

a = 20m

angle between a and c = 44 degrees

we know the angle between a and b is 90 degrees.

therefore the angle between b and c = 180-90-44 = 46 degrees.

now we use the law of sines :

a/sin(bc) = b/sin(ac) = c/sin(ab)

we know sin(ab) = sin(90) = 1

20/sin(46) = b/sin(44)

b = 20×sin(44)/sin(46) = 19.31... m = height of the kite

now to Bryan.

now we know his b (height of the kite) = 19.32... m

his angle between a and c is 66 degrees.

his angle between a and b is also 90 degrees.

therefore his angle between b and c = 180-90-66 = 24 degrees.

19.31/sin(66) = a/sin(24)

a = 19.31×sin(24)/sin(66) = 8.6 m

based on our assumption that they are standing opposite from each other in relation to the kite their distance is

20 + 8.6 = 28.6m

3 0

3 years ago

Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out

baherus [9]

Step-by-step explanation:

subtract-13 from -13 get zero

then, subtract 13 from 77 =64

then do divide 15 from 15

then divide 15 from 64 = 4.26 repeat

8 0

2 years ago

Hamburger is on sale for 20% off the normal $3.70 price. How much can you save per pound by buying the meat on sale? Explain you

Nitella [24]

Answer:

$0.75

Step-by-step explanation:

Given

Normal price - $3.70

If Hamburger is on sale for 20% off the normal price

The amount that can be saved will be 20% of $3.70

Amount that can be saved = 20/100 * 3.70

Amount that can be saved = 1/5 * 3.70

Amount that can be saved = 3.7/5

Amount that can be saved = 0.75

Hence the Amount that can be saved on $3.70 is $0.75

3 0

3 years ago

Solve for n: -6(n -8) = 4(12 -5n) + 14n.

Alexxx [7]

Answer:

infinite solutions

Step-by-step explanation:

Given

- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides

- 6n + 48 = 48 - 20n + 14n, that is

- 6n + 48 = 48 - 6n ( add 6n to both sides )

48 = 48 ← True

This indicates that the equation is true for any value of n

5 0

3 years ago

Read 2 more answers