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Gala2k [10]
3 years ago
10

Please help, please

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

Answer:

Total amount of fencing needed as an algebraic expression in terms of x is: <em>10x</em><em> </em><em>+</em><em> </em><em>3</em> .

Step-by-step explanation:

As it is given that each rectangle has the same dimensions, the dimensions of each rectangle must be: x units by 2x + 1 units.

Based on this, we can calculate the total amount of fencing needed.

Let width of each rectangle = x

Let length of each rectangle = 2x + 1

There are 4 widths and 3 lengths in total of fencing.

Therefore:

= 4 ( x ) + 3 ( 2x + 1 )

Expand:

= 4x + 6x + 3

Group like-terms:

= 10x + 3

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Mkey [24]

Answer:

The computer can perform 1051050 calculations in 10 seconds.

Step-by-step explanation:

1. Put the quantity of calculations the computer can perform in 1 second:

105105\frac{calculations}{1second}

2. Multiply the quantity of calculations by 10 seconds:

105105\frac{calculations}{1second}*10seconds=1051050calculations

Note that the units of seconds are cancelled as they appear on the numerator and the denominator, and the final response unit is given in calculations number.

The computer can perform 1051050 calculations in 10 seconds.

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3 years ago
Simplify completely. (w^15/w^5)^4 <br> HELP PLEASE
Umnica [9.8K]

Answer:

w^{40}

Step-by-step explanation:

To simplify recall exponent rules:

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

Use rule #3 to simplify inside the parenthesis first.

\frac{w^{15}}{w^5}  = w^{10}

Now simplify the exponent of 4 using rule 6.

(w^{10})^4 = w^{40}


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Answer:

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Step-by-step explanation:

sine = \frac{opposite}{hypotenuse}

Side z is the adjacent, since it is next to the angle you are solving for.

Side x is the opposite, since it is opposite the angle you are solving for.

The side measuring 14 is the hypotenuse, since it is across from the right angle.

sin 54 = \frac{x}{14}

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Step-by-step explanation:

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Step-by-step explanation:

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