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Alexxandr [17]
3 years ago
15

Giải phương trình : 8cos 4 x – 4cos2x + sin4x – 4 = 0

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

Step-by-step explanation:

8(1+cos2x/2)^{2} -4c0s2x+sin4x-4=0\\2(1+2cos2x+cos^{2}2x )-4cos2x+sin4x-4=0\\2cos^{2} 2x+sin4x-2=0\\1+cos4x+sin4x-2=0\\cos4x+sin4x=1\\sin(4x+\pi /4)=sin\frac{\pi }{4} \\\left \{ {{4x+\frac{\pi }{4} =\frac{\pi }{4}+k2\pi  } \atop {4x+\frac{\pi }{4} =\frac{3\pi }{4} +k2\pi \\

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Please help me , at least do one and explain it please .
Len [333]

9514 1404 393

Answer:

  1. 113.0 cm²
  2. 2464.0 in²
  3. 95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

<em>Additional comment</em>

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

7 0
2 years ago
Vx4=4 what is the answer
Volgvan

Step-by-step explanation:

v=4÷4

v=1 Ans

Do by transposition

hope it helps

8 0
3 years ago
Solve the following proportion for v. V/13=11/13
NeX [460]

Answer:

V = 11

Step-by-step explanation:

All you have to do here is to multiply both sides of this equation by 13.  This will eliminate the fractions.  You'll be left with V = 11.

8 0
3 years ago
PLEASE HELP!!! GEOMETRY<br><br><br> (see attached images)
olasank [31]

Answer:

The Proof and Explanation  for

Part C ,

Qs 9 and

Qs 10  are below.

Step-by-step explanation:

PART C .

Given:

AD || BC ,

To Prove:

ΔAED ≅ ΔCEB

Proof:

Statement                             Reason

1. AD || BC                           1. Given

2. ∠A ≅ ∠C                        2. Alternate Angles Theorem as AD || BC

3. ∠AED ≅ ∠CEB               3. Vertical Opposite Angle Theorem.

4. AE ≅ EC                         4. Given

5. ΔAED ≅ ΔCEB               5. By A-S-A congruence test....Proved

Qs 9)

Given:

AB ≅ BC ,

∠ABD ≅ ∠CBD

To Prove:

∠A ≅ ∠C

Proof:

Statement                             Reason

1. ∠ABD ≅ ∠CBD              1. Given

2. AB ≅ CB                       2. Given      

3. BD ≅ BD                       3. Reflexive Property

4. ΔABD ≅ ΔCBD             4. By S-A-S congruence test

5. ∠A ≅ ∠C                       5. Corresponding parts of congruent Triangles Proved.

Qs 10)

Given:

∠MCI ≅ ∠AIC

MC ≅ AI

To Prove:

ΔMCI ≅ ΔAIC

Proof:

Statement                             Reason

1. ∠MCI ≅ ∠AIC       1. Given

2. MC ≅ AI              2. Given

3. CI ≅ CI                3. Reflexive Property

4. ΔMCI ≅ ΔAIC     4. By S-A-S congruence test

3 0
3 years ago
Im going to buy huaraches in womens (7.5) so do i order that size or order an 8?
lord [1]
Depends on your foot size. I’d go with the 8 as when you hike etc your feet can “swell” some.
3 0
3 years ago
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