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3 years ago

Write your answer in its simplest form, please

Mathematics

2 answers:

TEA [102]3 years ago

8 0

Answer:

r = 16, q = 16√2

Step-by-step explanation:

This is a 45° 45° 90° triangle. In this type of triangle, the legs of said shape will be equal and the hypotenuse will be the leg length multiplied by √2.

Therefore, r = 16 and q = 16√2.

maks197457 [2]3 years ago

5 0

Answer:

r = 16, c = 22.63

Step-by-step explanation:

tan 45° = 16/r

r = 16/ tan 45°

r = 16

c² = a² + b²

c² = 16² + 16²

c² = 256 + 256

c² = 512

c = 22.63

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Katherine bought snacks for her team's practice. She bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total c

Naddika [18.5K]

1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.

2. From the equation, x = $1.09.

<h3>What is an equation?</h3>

An equation is a mathematical statement that shows that two values are equal.

A system of equations uses numbers and variables.

<h3>Data and Calculations:</h3>

The cost price of a bag of chips = $2.70

The total cost of snacks = $15.78

The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)

Therefore, a bottle of juice = $1.09 ($13.08/12)

<h3>Equations:</h3>

Let a bottle of juice = x

Total cost of snacks = $15.78

2.70 + 12x = 15.78

or 12x + 2.70 = 15.78

12x = 13.08

x = 1.09 (13.08/12)

Learn more about equations at brainly.com/question/2972832

#SPJ1

7 0

2 years ago

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

Ghella [55]

Answer:

That is the solutions are:

$\frac{\pi}{3}+2\pi \cdot k$ , $\frac{5\pi}{3}+2\pi \cdot k$

Step-by-step explanation:

The period of $\cos(x)$ or $\sin(x)$ is $2\pi$ .

Let's look at the first rotation to see when $\cos(\theta)=\frac{1}{2}$ happens.

This happens at $\frac{\pi}{3}$ and also at $\frac{5\pi}{3}$ . (Notice I just looked at the x-coordinates because that is what cosine is. Sine is the y-coordinate.)