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Veronika [31]
2 years ago
5

Hallenge

Mathematics
1 answer:
Vladimir79 [104]2 years ago
4 0
The tank had 1.5 liters of water at first
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The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
2 years ago
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Her conception is that the view of the sun is bright, her perception is that the bright sun has a positive impact on her, and her interpretation is that her body doesn't mind the heat yet welcomes it. The answer here is Perception.
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3 years ago
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What is the value of m in the equation 38(m−29)=434 ?
Len [333]
38(m - 29) = 434...distribute thru the parenthesis
38m - 1102 = 434...add 1102 to both sides
38m = 434 + 1102
38m = 1536....divide both sides by 38
m = 1536/38
m = 768/19 or 40 8/19
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3 years ago
State and prove De Moivre's theorem
Montano1993 [528]

Answer:

assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and

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2 years ago
20 POINTS<br> HELP ME PLEASE<br> How many solutions does the system have
finlep [7]

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

x² - 4x + 3 = 0

x² - 3x - x + 3 = 0

x(x - 3) - (x - 3) = 0

(x - 3)(x - 1) = 0

x = 1, 3

y = 4(1) + 1 = 5

y = 4(3) + 1 = 13

Two solutions: (1,5) (3,13)

3 0
3 years ago
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