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il63 [147K]
3 years ago
12

Beth and Sarah are selling candy for a school fundraiser. Customers can buy small boxes

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
1 year ago
Write 15 1/4% as a fraction in simplest form
Helga [31]

Rewrite 15 1/4% as 15.25%.   To obtain the desired fraction, divide this 15.25% by 100%:

0.1525

This could be reduced to 61/400, which was obtained by first writing 0.1525 as 1525/10000.

3 0
3 years ago
How do you use the slope to prove lines are parallel or perpendicular?
Vesna [10]
For this, there is two rules. The common slope-intercept form is y=ax + b. For parallel, b can change, but a, or the slope, can't change. But for perpendicular, the a should be -1/a, where the answer for times the original equation, or a, and the second equation, or -1/a, is -1. To prove these two rules, you can graph it using random numbers but follow these two rules. if you have any part that don't understand for this answer, feel free to ask in the "Ask for details" section.
8 0
3 years ago
Iron has a density of 7.9 g/cm³. Gold has a density of 19.3 g/cm³.
alexandr402 [8]
Density = m/v
3.86kg=3860g
d= 3860/200
= 19.3g/cm^3
therefore it is gold.
7 0
1 year ago
Write an equation of a line parallel to y=1/3x +4
andreyandreev [35.5K]

Answer:

There can be infinite possibilities as long as the slope is the same (1/3)

Step-by-step explanation:

For example; y=1/3x+5(+/-)

8 0
3 years ago
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