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ELEN [110]
3 years ago
13

what is the distance between point S and U? Round to the nearest tenth of a unit? A 3.3 B 6.4 C 8.1 D 12.0

Mathematics
1 answer:
ki77a [65]3 years ago
8 0
The distance between the points (d) is found using the Pythagorean theorem.

Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
   d² = 4² + 7²
   d² = 16 + 49
   d² = 65
   d = √65 ≈ 8.1

The distance between the points is
   C  8.1


_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.

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Answers choices<br> &lt;1<br> &lt;4<br> &lt;2<br> &lt;3
Maslowich

Answer:

B) 4

Step-by-step explanation:

1. <em>It is either 3 or 4</em>, since those are only two angles comparing the lighthouse and the boat.

2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, <em>4 is the only angle that is below its corresponding horizontal</em>.

So, the angle of depression from the lighthouse to the boat is 4.

7 0
3 years ago
The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa
Eduardwww [97]

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2.  Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So:  subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

7 0
3 years ago
X + 2 = 1 what is it
Alexus [3.1K]
-1 as a negative would = X
8 0
3 years ago
Read 2 more answers
A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get
GaryK [48]

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

7 0
2 years ago
The price of pair of shoes is $63.20. The sales tax rate is 4.5 percent. How much sales tax would you pay if you bought these sh
VMariaS [17]

Answer:2.84

Step-by-step explanation: 4.5% of 63.20

7 0
3 years ago
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