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galina1969 [7]
3 years ago
14

Old Faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height o

f a nearby tree that casts a shadow 63 feet long? Assume the triangles are similar.

Mathematics
1 answer:
Rudiy273 years ago
5 0
It will be 90 feet considering the water triangle as shown as the figure
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faltersainse [42]

The value of x in the given expression is; x = wz/y

<h3>How to change subject of formula?</h3>

We are given the expression;

w/x = y/z

Now, we want to find the value of x which means we want to make x the subject of the formula. Thus;

Multiply both sides of the given expression by x to get;

(w/x)*x = (y/z)*x

⇒ w = xy/z

Now, multiply both sides by z/y to get;

w(z/y) = (xy/z) * (z/y)

wz/y = x

Thus, the value of x in the given expression is;

x = wz/y

The correct question is;

If w/x = y/z, then what is the value of x

Read more about Subject of Formula at; brainly.com/question/10643782

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5 0
2 years ago
Which digit makes 345 ___ divisible by 2? <br> 1<br><br> 8<br><br> 3<br><br> 7
storchak [24]
8. You can tell a number is divisible by 2 if it ends in a 0,2,4,6, or 8
7 0
3 years ago
Calculate the slope of a line that intersects points(6,2) and (-4,_3).
Aleks04 [339]
If that is a negative three then the slope is .5 But if the three is not a negative then the answer is -0.1
4 0
4 years ago
If sin θ = 1 over 3 and tan θ &lt; 0, what is the value of cos θ?
alexira [117]

Answer:

2√2 / 3 (first answer choice)

Step-by-step explanation:

If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.

If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.

Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:

adj² + 1² = 3²,  or

adj² + 1 = 9, or    adj² = 8.  Since Ф is in Quadrant II, adj is negative.

The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3

3 0
3 years ago
What is the slope of (0,1) and (5,4)
mote1985 [20]

Answer:

3/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-1)/(5-0)

m=3/5

3 0
4 years ago
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