4 years ago

Its operations with complex number " find the difference of 13 - 7i and -4 + 4i

Mathematics

1 answer:

irina [24]4 years ago

5 0

Answer: 17-11i
(13-7i) - (-4+4i)
Distribute the - to get
13-7i+4-4i and then combine like terms

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A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe

jonny [76]

Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.

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3 years ago

Which of the following sets refer to vertical angles from the diagram?

natita [175]

Answer:

The correct answer to the question is:

∠BOF and ∠HOD

Step-by-step explanation:

Both of the sets of angles are vertical.

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3 years ago

What is limit of (startstartfraction negative sine (startfraction pi x over 3 endfraction) overover 3 endendfraction) as x appro

Nutka1998 [239]

I'm guessing your limit is

$\displaystyle \lim_{x\to5} \frac{-\sin\left(\frac{\pi x}3\right)}3$

The limand is continuous at x = 5, so we can evaluate the limit directly by substituting x = 5:

$\displaystyle \lim_{x\to5} \frac{-\sin\left(\frac{\pi x}3\right)}3 = -\frac13 \sin\left(\frac{5\pi}3\right) = -\frac13 \times \left(-\frac{\sqrt3}2\right) = \boxed{\frac1{2\sqrt3}} = \boxed{\frac{\sqrt3}6}$