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2 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

fenix001 [56]2 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

a^2 + b^2 = c^2

The hypotenuse (c) and a side length is already given, so:

x^2 + 12 = 13

x^2 = 1

Square root of 1 = 1

So, x = 1

You can check it by 1+12=13

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A positive angle less than 360 degrees that is coterminal with -5 degrees is

nadya68 [22]

Answer:

$\theta = 355$

Step-by-step explanation:

Given

Let the angle be $\theta$

$\theta < 360$

$\theta$ is co-terminal with -5

Required

Find $\theta$

Start by dividing 5 by 360 (ignore the negative)

$\frac{5}{360} = 0.0138$

The nearest integer greater than 0.0138 is 1.

<em>This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time</em>

So, $\theta$ is calculated as:

$\theta = -5 + 1*360$

$\theta = -5 +360$

$\theta = 355$

7 0

3 years ago

Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

german

X = 6 cos(t)
y = 3 sin(t)

we can rewrite these equations as:

$\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)$

Taking squares of both equations we get:

$( \frac{x}{6})^{2}=sin^{2} (t) \\ \\ 
( \frac{y}{3})^{2}=cos^{2}(t)$

Adding both the equations, we get:

$\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t) \\ \\ 
 \frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=1$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B8%20%7D%5E%7B2%7D%20%20%2B%20%20%7B10%7D%5E%7B3%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20

Maslowich

Use PEMDAS

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

$8^2+10^3\div5^2=64+1000\div25=64+40=104$