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3 years ago

7

How do I solve 14=-(p-8)

1 answer:

anastassius [24]3 years ago

6 0

First you need to distribute the negative into the ().
Then you will have 14=(-p+8) now you can drop the (), so it will be 14= -p+8.
Next subtract 8 from both sides, 6= -p.
Now you have to divide both sides by -1 to get rid of the negative value of p. -6=p.
Answer: -6= p

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What is the median of the data?<br>30,29,16,11,16,20,21,12,13,15,15,23,30

tia_tia [17]

Answer:

16

Step-by-step explanation:

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3 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

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3 years ago

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natulia [17]

Answer:

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3 years ago

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