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OLEGan [10]
3 years ago
14

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=40°, and EF = 75 feet. Find the length of GE to the nearest tenth of a foot.

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

57.453 ft

Step-by-step explanation:

Glad to help ! :)

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The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12
Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

P(x)=-12x^2+120x

To find:

The current that will produce the maximum power.

Solution:

We have,

P(x)=-12x^2+120x

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-12 and b=120. So,

-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}

-\dfrac{b}{2a}=-\dfrac{120}{-24}

-\dfrac{b}{2a}=5

Putting x=5 in the given function, we get

P(5)=-12(5)^2+120(5)

P(5)=-12(25)+600

P(5)=-300+600

P(5)=300

Therefore, 5 watt current will produce the maximum power of 300 amperes.

6 0
3 years ago
Solve the equation, -3(7 + 5g)
Leya [2.2K]

Answer:

<em>-21-15g</em> you cant solve you can simplify

5 0
3 years ago
Factor the following expression:<br><img src="https://tex.z-dn.net/?f=6x%5E5-11x%5E4-10x%5E3-54x%5E3%2B99x%5E2%2B90x" id="TexFor
nataly862011 [7]

Answer:

  (3x+2)(2x-5)(x³ -9)

Step-by-step explanation:

I like to use a graphing calculator to assist with factoring higher-degree polynomials. This polynomial has roots at -2/3, +5/2, and an irrational number near 2.08. The factors corresponding to the rational roots are (3x +2) and (2x -5).

Polynomial long division or synthetic division can be used to divide these out.

In each case, the divisor has a coefficient other than 1, so both dividend and divisor polynomials need to be divided by that coefficient before proceeding with synthetic division. (That is why there are fractions in the tableaux.)

The result is that the factorization in integers is ...

  6x^5-11x^4-10x^3-54x^2+99x+90=\bf{(3x+2)(2x-5)(x^3-9)}

_____

The irrational roots are the three cube roots of 9, two of which are complex.

_____

Any of several different algorithms can tell you that the real roots will lie in the interval [-6, 6] or smaller. The rational roots will be of the form ...

  ±(divisor of 90)/(divisor of 6)

7 0
3 years ago
Even when mixed, elements and molecules still keep their unique properties. Explain why.
Luba_88 [7]

Mixing is a physical reaction, which does not change any chemical properties of elements and molecules because it does not change the number of protons.

It is the number of protons that determine the unique properties of each element (hence why the periodic table sorts elements by increasing the number of protons).

4 0
3 years ago
Find the area of this circle. Use 3 for pi please
alukav5142 [94]

Answer:

108 cm²

Step-by-step explanation:

A = πr²

A = 3 * 6²

A = 3 * 36

A = 108

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
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