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just olya [345]
3 years ago
10

3. [3.04] Describe a process for finding the measure of angle 2.

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

<em>m<2 = 145</em>

<em>See process below.</em>

Step-by-step explanation:

Lines b and c are parallel.

m<4 = 55 by corresponding angles.

m<3 = 90 since lines a and d are perpendicular.

m<2 = m<3 + m<4  by the exterior angle of a triangle theorem.

m<2 = 90 + 55

m<2 = 145

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The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+1
ra1l [238]

Answer:

A current of 5 amperes will produce the maximum power.

Step-by-step explanation:

Let be p(x) = -12\cdot x^{2}+120\cdot x, where p(x) is measured in watts and x in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:

First derivative

p'(x) = -24\cdot x + 120

Second derivative

p''(x) = -24\cdot x

Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)

-24\cdot x + 120 = 0

x = 5\,A

The only critical point is x = 5\,A.

As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)

p(5)'' = -24\cdot (5)

p''(5) = -120

Which indicates that critical point leads to an absolute maximum.

A current of 5 amperes will produce the maximum power.

6 0
3 years ago
11.5<br> Radius:<br> Circumference:<br> Area:
qwelly [4]

Answer:

Radius: 5.75

circumference:36.13

area:103.87

There you go!!

7 0
3 years ago
Read 2 more answers
I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the gr
igor_vitrenko [27]

Answer:

8, 2, 8, 2

7, 3, 7, 3

6, 4 6, 4

9, 1, 9, 1

Step-by-step explanation:

In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.

So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.

Since there are 18 numbers, I'm assuming we don't have to use all of them.

3 0
3 years ago
Read 2 more answers
3(x-5)-15=48 how would this be solved?
natita [175]
<span>Problem: 3(x-5)-15=48

1. Multiply what's in the parenthesis
3x-15-15=48

2. Combine like terms
3x-30=48

3. Switch the sides
3x=48+30
3x=78

4. Divide

x=26

Answer: 26

</span><span>
</span>
5 0
3 years ago
Explain how you can use equivalent fractions to find the quotient of 2 3 ÷ 4.
Virty [35]

Answer:

see below

Step-by-step explanation:

2/3 ÷ 4

We use copy dot flip

The flip means make a reciprocal of the second number

2/3 * 1/4

Multiply the numerators

2*1 = 2

Multiply the denominators

3*4 =12

Put the numerator over the denominator

2/12

Simplify

1/6

8 0
4 years ago
Read 2 more answers
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