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Mumz [18]
3 years ago
9

When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0
50 beats per minute
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Solve for x. Round to the nearest tenth, if necessary.
e-lub [12.9K]

Answer:

\boxed {\boxed {\sf x \approx 1.9}}

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

  • sinθ= opposite/hypotenuse
  • cosθ= adjacent/hypotenuse
  • tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

sin \theta = \frac {opposite}{hypotenuse}

  • θ= 54
  • opposite= x
  • hypotenuse = 2.3

sin (54)= \frac{ x}{2.3}

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

2.3* sin (54)= \frac{x}{2.3}*2.3

2.3* sin (54)=x

2.3*0.8090169944=x

1.860739087 =x

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

1.9 \approx x

x is approximately <u>1.9</u>

7 0
3 years ago
Mr. Quentin asks his students to describe a circle. Which description can be used as a mathematical definition of a circle? the
mr_godi [17]

Answer:

D. The set that all points in a plane equidistant from a common point.

Step-by-step explanation:

8 0
3 years ago
Joe mauer throws a baseball from first base to second at a rate of 90 miles per hour. How fast did Joe throw the ball in feet pe
deff fn [24]
Lol that's me ...........
6 0
3 years ago
You are researching the price of MP3 players. You found an average price of $58.80. One MP3 player costs $56 and another costs $
Butoxors [25]

The price of third MP3 player is $58.40

Step-by-step explanation:

Given,

Cost of one MP3 palyer = $56

Cost of another MP3 player = $62

Average price of MP3 player = $58.80

Let,

Cost of third MP3 player = x

Average = \frac{Sum\ of\ costs}{Number\ of\ items}

{58.80}=\frac{56+62+x}{3}

Multiplying both sides by 3

3*{58.80}=\frac{56+62+x}{3}*3\\176.40=118+x\\176.40-118=x\\58.40=x\\x=58.40

The price of third MP3 player is $58.40

Keywords: average, division

Learn more about division at:

  • brainly.com/question/8907574
  • brainly.com/question/8790374

#LearnwithBrainly

8 0
3 years ago
15 POINTS!! PLEASE HELP ASAP!!
insens350 [35]

Answer:

Total number of kilometers in the ride = 5 km

Number of kilometers Garret has already biked = k km

Number of kilometers Garret left to ride = 5 - k km

Number of minutes Garret takes per kilometer = 4 minutes.

Step-by-step explanation:

1. It takes 4 minutes for Garret to go a kilometer. Then

Number of minutes Garret takes per kilometer = 4 minutes.

2. Suppose the variable k is the number of kilometers Garret has already biked.

3. Garret is partway through a 20-minute bike ride. It takes 4 minutes for him to go a kilometer. Then

Total number of kilometers in the ride is

20\div 4=5\ km

4. Suppose the variable k is the number of kilometers Garret has already biked. Then 5-k km is the number of kilometers Garret left to ride.

6 0
3 years ago
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