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Anettt
8 days ago
12

What are the measures of EBG and EBC? Classify each angle as acute,right, abtuse or straight

Mathematics
1 answer:
Leona [4.1K]8 days ago
3 0

A. EBG is 45 degrees, EBG falls in the acute category

(1. C 2. A 3. B 4. B 5. B)

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An electrolyte solution has an average current density of 111 ampere per square decimeter \left( \dfrac{\text{A}}{\text{dm}^2}\r
Svet_ta [4296]
The solution's average current density is 1 ampere per square decimeter.

We need to convert this value to ampere per square meter.

Since 1 decimeter equals \frac{1}{10} meters,
squaring gives us:

1 square decimeter equals \frac{1}{100} square meters.

Hence, the current density now is 1 \frac{A}{dm^{2} } =1 \frac{A}{ \frac{1}{100} m^{2} } =100Am^{-2}.

Therefore, the current density of the electrolyte solution is 100 amperes per square meter.
6 0
9 days ago
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The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic. Which s
Zina [3893]


The count of people serves as the independent variable. The picnic's starting cost (initial fee) is $40. When more people attend, the picnic's overall expense rises. 
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15 days ago
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On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1),
lawyer [3979]

Answer:

(1, 3)

Step-by-step explanation:

Provided:

A circle containing these specified points-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.

The function's input is characterized as the domain, and the output corresponds to its range.

The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.

This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.

In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.

Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.

Therefore, choosing (1, 3) is the right answer.

5 0
15 days ago
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What is the simplified form of the following expression ? Assume a _>0 and c >_0
tester [3895]
14 \sqrt[4]{a^{5} b^{2 }c^{4}} -7ac \sqrt[4]{a b^{2}}
= 14ac \sqrt[4]{a b^{2}} -7ac \sqrt[4]{a b^{2}}
= 7ac \sqrt[4]{a b^{2}}.... pertains to the first choice
3 0
17 hours ago
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Find a vector parametrization of the ellipse centered at the origin in the xy-plane that has major diameter 8 along the x-axis,
zzz [4002]

Answer:

E(t) = [ 4cos(t), 2 sin(t) ]

Step-by-step explanation:

The equation for the ellipse can be represented as:

 (x² ÷ a² ) + (y² ÷ b² ) = 1    Here, a and b symbolize the semi-major and semi-minor axes.

In this specific instance, we have    x²/16 + y²/ 4 = 1

This expression indicates that it follows the form of (x/a)² + (y/b)² =1

Specifically in our case,    x²/16  + y²/4 = 1, which resembles                 sin²α + cos²α = 1.

By setting x = 4 cos(t), we can proceed to calculate y.

Utilizing the equation x²/16  + y²/4 = 1, we find that:

x²/16  + y²/4 = 1   ⇒    (x²  +  4y²) ÷ 16  = 1

Solving for y yields: (x²  +  4y²)  = 16    ⇒  y²  = ( 16 - x²) ÷4

Substituting x = 4 cos(t) gives us y²  =  (16 - 16cos²(t)) ÷ 4, leading to y = √4 (1 - cos²(t)).

Consequently, we have y = 2 sin(t).

Thus, the vector parameterization of the ellipse can be stated as:

E(t) = [ 4cos(t), 2 sin(t) ]

3 0
6 days ago
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