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3 years ago

Find tan of 45 degrees

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

Answer:

tan(45°) = 1

Step-by-step explanation:

We know that sin (45°) = √2/2, and cos(45°) = √2/2.

Given that tan(x) = sen(x) / cos(x), we get:

tan(45°) = (√2/2) / (√2/2) = 1

Therefore, tan(45°) = 1

Attached you will find the important angles summary

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4 years ago

Sam saved 135$ in June . She only planned to save 75$ that month. What decimal represents the fraction of the amount of money Ti

melamori03 [73]

Answer: 1.8

Step-by-step explanation:

Amount saved= $135

Amount planned to save= $75

Fraction= 135/75 = 9/5

Decimal= 1.8

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3 years ago

The perimeter of a room is pm and height hm write the formula to calculate the area of four walls

Arisa [49]

Answer:

Volume of Cube = length cube

Total surface area=2(lb+lh+bh)

Volume of Cuboid=l×b×h

I think it will help you.

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2 years ago

A recipe calls for 2/3 cups of sugar. I have 5 1/2 cups of sugar. How many batches can I make, assuming I have a large quantity

grandymaker [24]

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

$5\frac{1}{2}\div\frac{2}{3}$

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

$=\frac{11}{2}\div\frac{2}{3}$

To divide fractions, we keep, change, and flip. Therefore:

$=\frac{11}{2}\times\frac{3}{2}$

Multiply straight across:

$=\frac{33}{4}=8.25$

So, we can make 8.25 batches.

Or, we can make 8 full batches.

8 0

3 years ago

Find the area of a regular hexagon with the given measurement 6 inch radius

tino4ka555 [31]

We are told the radius is 6 inches, this distance refers to the distance from the center to a vertice of the hexagon. A regular hexagon is made up of 6 equilateral triangles. The sides of these triangles inside the hexagon are 6 inches. Since these are all equilateral, all sides of the triangle of 6 inches making the 6 outer sides of the hexagon also equal to 6 inches.

We can determine the total area of the hexagon if we know the area of one of the triangles. The area of a triangle is found using the following formula:

A = 1/2 (b x h)

b = the outsider of the hexagon
h = distance from center to the bisection of a side.

We can solve for h by using the pythagorean theorem. We know two sides of the right triangle formed. The adjacent side is 3 inches (half of 6 since the side was bisected) and the hypotenuse is 6 inches.

3² + h² = 6²
h² = 36 - 9
h² = 27
h = √27
h = 3√3

Solving for the area of one triangle is as follows:

A = (1/2)(bh)
A = (1/2)(6)(3√3)
A = 9√3

The total area of the hexagon will be the total of all 6 equilateral triangles.

A = 6(9√3)
A = 54√3

The area of the hexagon is 54√3 or 93.5 in².

7 0

3 years ago