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soldier1979 [14.2K]
3 years ago
11

What is the length of BC? Round to the nearest tenth.

Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{BC}{16} ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

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Which transformation(s) were used to go from the parent graph (red) to the transformed graph (blue)? Check all that apply!
UNO [17]
<h3>2 Answers: </h3><h3>Choice B) Shift down</h3><h3>Choice C) Shift right</h3>

===================================================

Explanation:

Start with the point (-2,-4). Let's try to move it to (2, -9)

To do so, we need to shift down and to the right (in either order).

Specifically we shift 4 units to the right to go from x=-2 to x=4

Note how x=-2 moves to x+4 = -2+4 = 2

Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below

y ---> y-5 = -4-5 = -9

So the translation rule is (x,y) \to (x+4,y-5)

Let's see what happens when we apply the translation rule to (2,4)

(x,y) \to (x+4, y-5)\\\\(2,4) \to (2+4, 4-5)\\\\(2,4) \to (6, -1)\\\\

which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)

We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.

3 0
3 years ago
Name: Co
White raven [17]

Answer:

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

Step-by-step explanation:

Let us first analyse the given information in the question:

→ Small paints (lets call them s) sell for $25.80 Per Painting, thus:

  25.80s gives as the profit for s number paints sold.

→ Large paints (lets call them l) sell for $56.25 Per Painting, thus:

  56.25l gives as the profit for l number paints sold.

We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:

s=3\\l=6         Eqn(1).

Thus the total profit of all paintings sold would be:

PROFIT= 25.80s+56.25l       which by pluggin in Eqn(1) values gives

PROFIT=25.80*3+56.25*6\\PROFIT=414.90

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

5 0
3 years ago
Helppppppppppppppppppppppppp
Rasek [7]

Answer:

A  40

Step-by-step explanation:

We can find angle K

J + K + L = 180  The angles of a triangle add to 180

50 + K + 90 =180

140 +K = 180

Subtract 140 from each side

140-140 + K = 180-140

K = 40

Since the triangles are congruent

J = P

K = N

L = M

We want to find N

K = N = 40

K = N

4 0
3 years ago
What is 5 tenths -2 tenths?
zimovet [89]

Answer:

0.3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Help please problem is worded weird
Vadim26 [7]

Answer:100

Step-by-step explanation:

Expand

x = 150 - 0.5x

Add 0.5x to both sides

x + 0.5x = 150

Simplify x + 0.5x to 1.5x

1.5x = 150

Divide both sides by 1.5

x = 150/1.5

Simplify 150/1.5 to 100

x = 100

5 0
3 years ago
Read 2 more answers
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