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andreyandreev [35.5K]
3 years ago
5

Evaluate

Mathematics
1 answer:
pochemuha3 years ago
6 0

Answer:

  f(0) = 1/2

Step-by-step explanation:

At x=0, the inequality tells you ...

  1/2 ≤ 1 -f(0) ≤ 1/2

That is, ...

  1 - f(0) = 1/2

  f(0) = 1/2

  \boxed{\lim\limits_{x\to 0}{f(x)}=\dfrac{1}{2}}

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What is the product of 5/12 and 8/15​
Nadusha1986 [10]

Answer: 2/9

Step-by-step explanation:

Simplify the expression.

6 0
2 years ago
5c + 3 ≥ 6x -8<br><br> Solve the following inequality for cc. Write your answer in simplest form.
irina [24]

Answer:

c≥2(x-2) ÷ 5

Step-by-step explanation:

5c+3≥6x-8

5c ≥6x-8-3

5c≥6x-12

c≥(6x-12) ÷ 5

c≥ 2(x-2) ÷5

3 0
2 years ago
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi &gt; 0 what is theta ? Repeat for sin phi &lt; 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0
3 years ago
Anyone know how to do this with a explanation ?
storchak [24]

Answer:

30 degrees

Step-by-step explanation:

Since we know that all triangles equal 180 degrees, we can add the 2 given angles and subtract that from 180 to find the remaining angle.

90+60=150

180-150=30 degrees

8 0
3 years ago
8x= -14 Give your answer as an improper fraction in its simplest form. please help its due now! AWARD = BRAINLIEST!!!
Mrrafil [7]

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

6 0
3 years ago
Read 2 more answers
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