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Olin [163]
2 years ago
15

Solve log base 2 of one sixteenth.

Mathematics
1 answer:
irinina [24]2 years ago
8 0

Answer:

-4

Step-by-step explanation:

log (2) (1/16)

2^4=16

fraction is negative exponent

-4

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A blimp is 1500 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those
grigory [225]
Let stadium 1 be the one on the left and stadium 2 the one on the right.

Angle above stadium 1 is 72.9° and the angle above stadium 2 is 34.1° using the angle property of alternate angles(because both the ground and the dotted line are parallel).

For the next part we need to use the trigonometric function of tangent.

As tan x = opposite / adjacent,
Tan 72.9°=1500/ adjacent ( the ground from O to stadium 1)

Therefore the adjacent is 1500/tan 72.9°= 461.46 m( to 5 s.f.)

Same for the next angle,
Tan 34.1°=1500/ adjacent ( the ground from O to stadium 2)

Therefore, the adjacent is 1500/tan 34.1° = 2215.49 m (to 5 s.f.)

Thus, the distance between both stadiums is 2215.49-461.46= 1754.03 m

Correcting the answer to whole number gives you 1754 m which is the option C.
4 0
3 years ago
The difference between a number x and 3 is no more than 2
Vlad [161]

Answer:

  • x -3 ≤ 2
  • x ≤ 5

Step-by-step explanation:

"The difference between A and B" means "A - B". "Is no more than" means "is less than or equal to." Applying these translations to your statement gives ...

  x - 3 ≤ 2

Adding 3 to both sides of this inequality tells you its solution:

  x ≤ 5

4 0
2 years ago
Read 2 more answers
Complete the sentence. 22/7 divided by 2 is ? The value of (22/7 minus 2/3)
MakcuM [25]

Answer:

11/7

Step-by-step explanation:

22/7 divided by 2 = 22/7 multiplyed by 1/2 = 22/14 = 11/7

I don't really know what the second sentence means, so plz tell me, but here 22/7 minus 2/3 is 52/21

4 0
2 years ago
The coordinates of the vertices of quadrilateral ABCD are A(-5, 1), B(-2,5), C(5, 3),
sladkih [1.3K]

Step-by-step explanation:

To calculate a slope, we need to apply: m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Applying formula to each slope:

m_{AB}=\frac{5-1}{-2-(-5)} = \frac{4}{3}  \\m_{BC}=\frac{3-5}{5-(-2)} =\frac{-2}{7}\\m_{CD}=\frac{-1-3}{2-5}=\frac{-4}{-3} =\frac{4}{3}

So, as you can see, there are equal pair of slopes, meaning that they are parallels, which<em> demonstrate that it's actually a quadrilateral figure.</em>

6 0
3 years ago
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A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?
irga5000 [103]
Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese
5 0
2 years ago
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