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inysia [295]
2 years ago
10

Simplify as far as possible. 2 √ 75 + 3 √ 12

Mathematics
2 answers:
wariber [46]2 years ago
8 0

Answer:

2 \sqrt{75}  + 3 \sqrt{12}  \\ 2 \sqrt{25 \times 3}  + 3 \sqrt{4 \times3}  \\ 2 \times 5 \sqrt{3}  + 3 \times 2 \sqrt{3}  \\ 10 \sqrt{3}  + 6 \sqrt{3}  \\  \sqrt{3} (10 + 6) \\    16 \sqrt{3}

Hunter-Best [27]2 years ago
3 0
16√3 or ≈27.71…
Hope it helps!
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From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab
Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
Graph the inequality below on the number line.<br> a&gt;4
aev [14]

Answer:

Open dot on 4 with arrow going to the right.

Step-by-step explanation:

4 is open because it is not part of the set.

6 0
3 years ago
In the regual nonagon shown, what is the measure of angle x?
andre [41]
The sum of the interior angles of a polygon is (n-2)*180, n being the number of sides.
a nonagon has nine sides, so the total of interior angles is (9-2)*180=7*180
this is a regular nonagon, so each interior angle has the same degrees:
7*180/9=7*20=140
the exterior angle=180-the interior angle=180-140=40
40 is the correct answer.
4 0
4 years ago
What number makes the equation true? Enter the answer in the box.<br> 3<br> X<br> = 27
VARVARA [1.3K]

Answer:

9

Step-by-step explanation:

easy question, 3x9=27

5 0
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