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lidiya [134]
3 years ago
9

Find the length of side BC give your answer to three significant figures

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

19.4 cm

Step-by-step explanation:

Hi there!

This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:

cos\theta=\frac{adj}{hyp}

Plug in the given angle and side

cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4

Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.

I hope this helps!

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A quadrilateral with no sides parallel and diagonals that are perpendicular
Drupady [299]
<h3>Answer:  Quadrilateral</h3>

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

Explanation:

Of your original given list, let's write down the parallelograms. They are:

  • Parallelogram
  • Rectangle
  • Rhombus
  • Square

So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.

We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.

Lastly, we can rule out the kite because any kite has perpendicular diagonals.

The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.

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3 years ago
pam deposited $6,900 in a savings account with simple interest. Four months later she had earned $23 in interest. What was the i
3241004551 [841]

Answer:

1%

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.

6923=6900(1+r(0.33))\\6923=6900(1+0.33r)\\\frac{6923}{6900} =\frac{6900(1+0.33r)}{6900} \\1.0033=1+0.33r\\1.0033-1=1-1+0.33r\\0.0033=0.33r

Our final step is to divide both sides by 0.33.

\frac{0.0033}{0.33} =\frac{0.33r}{0.33} \\0.01=r

This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.


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3 years ago
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4 years ago
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19%  
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Step-by-step explanation:

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