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3 years ago

The diameter of a circle Garden is 16 feet what is the approximate area of the garden

1 answer:

5 0

Area of a circle is pi times radius squared.
Diameter is basically radius times 2
16 divided by 2 is 8
So you do pi times 8 squared
8 squared is 64
You do pi times 64
or 3.14 times 64
the area is 200.96

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Verify the following identity and show steps<br><br> (Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)

Paul [167]

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

5 0

3 years ago

If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is

slega [8]

So,

All you have to do is find the total labor cost and put it over the revenue.

We have two workers each earning $8/hr. (lousy), and they work 40 hrs./week.

2 * $8 = $16/hr.

$16/hr. * 40 hrs. = $640

$\frac{640}{2000}$

Cross out zeros.
$\frac{64}{200}$

Simplify.
$\frac{2^6}{2^35^2}$
$\frac{2^3}{5^2}$
$\frac{8}{25}$

Convert the denominator to 100.
$\frac{8}{25} * \frac{4}{4} = \frac{32}{100}$
$\frac{32}{100}$
=
32%

The labor cost is 32% of the revenue.

7 0

3 years ago

What times what equels -54?

Nastasia [14]

1,54 3,8 6,9
multiply the pairs of numbers

5 0

4 years ago

A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path. which number line cor

Fynjy0 [20]

Given :

A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.

To Find :

Which number line correctly models this situation and the total number of distance markers.

Solution :

It is given that their are markers every 1/4 part of mile.

So, their are 4 markers per mile.

Numbers of markers in 3 miles long path is :

$n = 3\times 4\\\\n = 12$

Therefore, the total number of distance markers in 3 mile path is 12.

Hence, this is the required solution.

5 0

3 years ago

Write each number as a fraction or Mixed number.<br> (Please help! I'm trying to promote!)

aivan3 [116]

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

6 0

3 years ago