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3 years ago

How do you prove a right angle?

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

If the angle is a perfect 90 degrees then it’s a right angle

dimulka [17.4K]3 years ago

6 0

If it has 90 degrease

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I really need help please!!

Allisa [31]

Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.

By the Pythagorean Theorem, $12^2+y^2=x^2$ . Since x^2=192, we know that $144+y^2=192$ . Subtracting 144 from both sides, we see that $y^2=48$ , so y= $4 \sqrt{3}$ .

5 0

3 years ago

What is 2/6 simplified?

m_a_m_a [10]

1/3 is the answer. Hope this helps

3 0

3 years ago

What is the volume of the cone?

Pavlova-9 [17]

Answer:

$Volume = 1017.36\ in^3$ -- Cone

$Volume = 3052.08\ in^3$ -- Cylinder

$Volume = 3052.08\ in^3$ -- Sphere

<em>Best Buy: Sphere Clay</em>

Step-by-step explanation:

Given

Solid Shapes: Cone, Cylinder, Sphere

Cost of Cone Clay = $12

Cost of Cylinder Clay = $30

Cost of Sphere Clay = $28

Required

Determine the volume of each shape

Which is the best buy

<h2>CONE</h2><h3>Calculating Volume</h3>

The volume of a cone is calculated as thus;

$Volume = \frac{1}{3}\pi r^2h$

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = \frac{1}{3} * 3.14 * 9^2 * 12$

$Volume = \frac{3052.08}{3}$

$Volume = 1017.36\ in^3$

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 1017.36\ in^3$

$Total\ Cost = \$12$ (Given)

$Volume:Price = \frac{1017.36\ in^3}{\$ 12}$

$Volume:Price = 84.78 in^3/\$$

$Volume:Price = 84.78 in^3:\$1$

<h2>CYLINDER</h2><h3>Calculating Volume</h3>

The volume of a cylinder is calculated as thus;

$Volume = \pi r^2h$

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = 3.14 * 9^2 * 12$

$Volume = 3052.08\ in^3$

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 3052.08\ in^3$

$Total\ Cost = \$30$ (Given)

$Volume:Price = \frac{3052.08\ in^3}{\$ 30}$

$Volume:Price = 101.736\ in^3/\$$

$Volume:Price = 101.736\ in^3:\$1$

<h2>SPHERE</h2><h3>Calculating Volume</h3>

The volume of a sphereis calculated as thus;

$Volume = \frac{4}{3}\pi r^3$

From the attached diagram

Radius, r = 9 inches; and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = \frac{4}{3} * 3.14 * 9^3$

$Volume = \frac{9156.24}{3}$

$Volume = 3052.08\ in^3$

<h3>Calculating Volume-Price ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 3052.08\ in^3$

$Total\ Cost = \$28$ (Given)

$Volume:Price = \frac{3052.08\ in^3}{\$ 28}$

$Volume:Price = 109.003\ in^3/\$$

$Volume:Price = 109.003\ in^3:\$1$

Comparing the Volume:Price ratio of the three clay;

<em>The best buy is the sphere because it has the highest volume:price ratio.</em>

<em>Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay</em>

3 0

3 years ago

An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years,

insens350 [35]

Let's call X the amount in the beginning.

we have X*1.03^6 = 1819.77

X = 1819.77 / 1.03^6

X ≈ 1524.03

6 0

3 years ago

How do I solve these equations

Sever21 [200]

You need to know the properties of each function.
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is
$\sqrt{\frac{1+cos}{2} }$
By following the formula, cos=3/5 then:
$\sqrt{ \frac{1- \frac{3}{5} }{2} }$ Multiply everything (inside the square $\sqrt{ \frac{5+3}{10} }$ root) by 5
$\frac{2 \sqrt{2} }{ \sqrt{10} }$
$\frac{2 \sqrt{20} }{10}$ Then just simplify
$\frac{ \sqrt{20} }{5}$ The answer is Square root of 20 over 5

3 0

3 years ago