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Soloha48 [4]
4 years ago
8

A piece of tile is 4 1/2 inches long and 3 1/4 inches wide. What is the area of the tile? A. 7 3/4 square inches B. 12 square in

ches C. 12 1/8 square inches D. 14 5/8 square inches. I will give 20 points! I need it now!
Mathematics
1 answer:
mario62 [17]4 years ago
8 0
First change the 4\frac{1}{2} to 4\frac{2}{4} .
Then multiply 4\frac{2}{4} and 3\frac{1}{4}
The answer would be D) or 14\frac{5}{8} in².
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The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −
marysya [2.9K]

Given:

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

P(x)=-15x(x-8)

To find:

The current which will produce the maximum power.

Solution:

We have,

P(x)=-15x(x-8)

P(x)=-15x^2+120x

Differentiate with respect to x.

P'(x)=-15(2x)+120(1)

P'(x)=-30x+120      ...(i)

To find the extreme point equate P'(x)=0.

-30x+120=0

-30x=-120

Divide both sides by -30.

x=4

Differentiate (i) with respect to x.

P'(x)=-30(1)+(0)

P'(x)=-30 (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

7 0
4 years ago
Which number produces an irrational number when multiplied by 1/3
MArishka [77]

We can simply observe that.

  1. 0.777... is rational, because it is a number with infinite but repeating decimal part.
  2. 1/3 is rational, because it's the division between two integers
  3. -\sqrt{16}=-4, so this is rational as well.

Since the product of two rational numbers is always rational, we have that

0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}

are all rationals, since they are the product of two rationals.

On the other hand, we have

\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}

and thus

3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}

which is irrational.

3 0
3 years ago
The proof that HG ≅ EG is shown.
MariettaO [177]
ASA is the answer ghhh
3 0
3 years ago
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A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
9966 [12]
<h2><u>Answer</u></h2>

Volume = \sf{\pi r^2 h}

= \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3}

6 0
3 years ago
What is (4/5)x (2/3)please help me out
Vikentia [17]

Answer:

\frac{8}{15}

Step-by-step explanation:

\frac{4}{5} × \frac{2}{3} ( multiply values on numerators/ denominators together )

= \frac{4(2)}{5(3)} = \frac{8}{15}

3 0
3 years ago
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