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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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Write as a product 27a^3−(a−b)^3
jarptica [38.1K]

Answer:

  (2a +b)·(13a^2 -5ab +b^2)

Step-by-step explanation:

The factorization of the difference of cubes is a standard form:

  (p -q)^3 = (p -q)(p^2 +pq +q^2)

Here, you have ...

  • p = 3a
  • q = (a-b)

so the factorization is ...

  (3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q

  = (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit

  = (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms

6 0
3 years ago
Two variables are correlated with r = 0.44.
butalik [34]
It's moderate positive because when the number is closer to zero the weaker it is and the closer to one its stronger so since 0.44 is in more in the middle it moderate and since there is no negative sign which is - then it moderate positive. Btw I took the test and it was right. 
3 0
3 years ago
Today, Jay ran 6 3/4 miles around the track and Nick ran 4 1/2 miles. How many times the length of Nick's was Jay's run?
lord [1]

Answer:

!

Step-by-step explanation:

4 0
3 years ago
Find the slope of every line that is parallel to the line on the graph.​
melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : Slope=\frac{y_2-y_1}{x_2-x_1}

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

Slope=\frac{-2-(-1)}{0-5}

==> simplify numerator and denominator

slope = \frac{1}{-5}

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0
2 years ago
What is the slope of a line that is perpendicular to the line represented by the equation 3x+4y=12
S_A_V [24]
Since x=8/3 is a vertical line,the slope is undefined,
7 0
3 years ago
Read 2 more answers
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