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OverLord2011 [107]
2 years ago
8

In triangle ABC, AB= 10cm, AC=9cm and angle B=60 degrees. Let BC=x cm. Use cosine rule to show that x is a solution of x^2-10x+1

9=0
Mathematics
1 answer:
stira [4]2 years ago
3 0

Answer:

Step-by-step explanation:

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They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers wi
Lyrx [107]

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

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2 years ago
At 3:20, what is the measure in degrees of the lesser angle formed by the hour hand and the minute hand
gregori [183]

Answer: 30 degrees

Step-by-step explanation:

7 0
2 years ago
When jack���s puppy was born, she weighed 1.2 pounds. in 2 months, she weighed 11.15 pounds. how much weight did jack���s puppy
NemiM [27]
She gained 9.95 pounds 
6 0
3 years ago
If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree)
Naddik [55]

Answer:

57.5 degrees

Step-by-step explanation:

Assuming this is a triangle

a is adjacent is ∠B

b is opposite of ∠B

Use the inverse tangent equation: tan^{-1} (11/7)

This equals to 57.52880771

3 0
3 years ago
Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.
katovenus [111]

Answer:

The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2)  is y = 3/4x + 1.

Step-by-step explanation:

3x - 4y = 7 and (-4, -2)

First, solve for y in the equation:

3x - 4y = 7

-4y = -3x + 7

4y = 3x - 7

y = 3/4x - 7/4

m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)

Use the point-slope equation to find the equation that will best represent a parallel line:

y − y1 = m(x − x1)

y - -2 = 3/4(x - -4)

y + 2 = 3/4x + 3 (the 4s cancel out)

(3/4 x 4/1 = 3)

y = 3/4x + 1

The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!

6 0
2 years ago
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