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kondaur [170]
3 years ago
6

Take a factor out of the square root √(48x^2) , where x≤0

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

The expression \sqrt{48x^2} can be simplified,

\sqrt{48x^2}=\sqrt{48}\sqrt{x^2}=x\sqrt{3\cdot4^2}=4x\sqrt{3}.

Hope this helps.

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An observer in tower A sees a boat 1538 yd away at an angle of depression of 35°. To the nearest yard, how far is the boat away
Thepotemich [5.8K]
From my own solution, my answer is closest to D<span>. 1951 yd; 27°
</span><span>
The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27</span>°.<span>

Pls. see my attachment. 

In it I divided the big triangle into two small right triangles. 
I solved for the common leg of the right triangles by using sin theta formula. sin </span>θ = opposite / hypotenuse
<span>
sin 35</span>° = opposite / 1538 yd
<span>sin 35</span>° * 1538 yd = opposite
<span>882.16 yd = opposite

From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle. 

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

tan(y) = opposite / adjacent
tan(y) = 1538 yd / 3000 yd
tan(y) = 0.513
y = 0.513/tan
y = 27.14</span>°<span>

</span>

8 0
3 years ago
A conjecture and the paragraph proof used to prove the conjecture are shown.
arlik [135]

Answer:

1. DF (option 3)

2. segment addition postulate

3. segment congruence postulate

4. DF (option 5)


6 0
3 years ago
Read 2 more answers
Describe the transformations of how the graph y=x^2 can be transformed into y= -1/5 (x-4)^2 + 2
Orlov [11]

Answer:

Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis

<em>b</em> is horizontal stretch or shrink and reflection over y-axis

<em>h</em> is horizontal movement left (if positive) or right (if negative)

<em>k</em> is vertical movement up (if positive) or down (if negative)

Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2

<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)

Nothing has changed <em>b</em>, so no horizontal stretch/shrink

<em>h</em> = -4, so horizontal movement right 4 units

<em>k</em> = 2, so vertical movement up 2 units

8 0
3 years ago
2.36 to the nearest whole number. Help please
melisa1 [442]

Answer:

2

Step-by-step explanation:

Since if it's 5 or higher you go up but if it's 4 or lower you stay the same. And since 2.36 doesn't have the .5 it would round to 2

7 0
3 years ago
Read 2 more answers
Please help me it is very much appreciated
pshichka [43]
<h2>C</h2>

Hope it helps you!

-miraculousfanx-

7 0
3 years ago
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