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3 years ago

How to find angle measures of a triangle with side lengths?

1 answer:

4 0

<span>Step 1: Begin by using the cosine rule to find the largest angle.
Step 2: Use the sine rule to find one of the remaining angles.
<span>Step 3: Use the 'sum of internal angles' rule to find the third angle... The sum of the internal angles equals 180º
</span></span>

The sum of the internal angles equals 180º ...

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A rectangle has vertices at these coordinates.

kompoz [17]

(6,2) is the fourth vertex

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3 years ago

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How many pints are in 15 gallons

lesya692 [45]

There 60 pints in 15 gallon

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4 years ago

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Anyone who knows how to do this right please

Elan Coil [88]

Answer:

13. 9.77 inches (rounded to 3 s.f.)

14. 249m² (rounded to 3 s.f.)

Step-by-step explanation:

13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2

$\frac{80}{360}$ × pi × 7 × 2 = 3 $\frac{1}{9}$ pi

= 9.77 inches (rounded to 3 s.f.)

14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r

$\frac{285}{360}$ × pi × 10 × 10 = 79 $\frac{1}{6}$ pi

= 249m² (rounded to 3 s.f.)

5 0

3 years ago

36 is the same as _____ radians.

Over [174]

The formula is (degree)x(pi÷180)
36 x pi ÷ 180
0.63 rad

6 0

3 years ago

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1. |4n-15|=|n|<br> 2. |2c+8|=|10c| <br> can you please show the work for both

Alja [10]

Problem 1

<h3>Answers: n = 3 or n = 5</h3>

---------------

Work Shown:

$|4n - 15| = |n|\\\\4n - 15 = n \ \text{ or } \ 4n-15 = -n\\\\-15 = n-4n \ \text{ or } \ -15 = -n-4n\\\\-15 = -3n \ \text{ or } \ -15 = -5n\\\\-3n = -15 \ \text{ or } \ -5n = -15\\\\n = \frac{-15}{-3} \ \text{ or } \ n = \frac{-15}{-5}\\\\n = 5 \ \text{ or } \ n = 3\\\\$

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

Problem 2

<h3>Answers: c = 1 or c = -2/3</h3>

-----------------------

Work Shown:

$|2c+8| = |10c|\\\\2c+8 = 10c \ \text{ or } \ 2c+8 = -10c\\\\8 = 10c-2c \ \text{ or } \ 8 = -10c-2c\\\\8 = 8c \ \text{ or } \ 8 = -12c\\\\8c = 8 \ \text{ or } \ -12c = 8\\\\c = \frac{8}{8} \ \text{ or } \ c = \frac{8}{-12}\\\\c = 1 \ \text{ or } \ c = -\frac{2}{3}$

8 0

3 years ago