Answer:
Step-by-step explanation:
Since Θ is in fourth quadrant then cosΘ > 0, as is secΘ
Given
sinΘ = - , then
cosΘ =
= = =
Hence
secΘ = =
The answer is
B, C, and D
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 270 cm³
height = 5 cm
length = ?
width = ?
Formula
Volume of a rectangular prism = height x length x width
- Solve for Area of the base (height x length)
Area of the base = Volume / height
-Substitution
Area of the base = 270 / 5
-Result
Area of the base = 54 m²
2.- Find the prime factors of 54
54 2
27 3
9 3
3 3
1
3.- The possible values of the sidas of the rectangle are:
Combining the prime factor of 54.
Length Width
2 x 3 = 6 and 3 x 3 = 9
or 2 x 3 x 3 = 18 and 3 x 1 = 3
or 3 x 3 x 3 = 27 and 2 x 1 = 2
1/6 because the first number that you roll doesn't matter so it depends on the 2nd roll, in which the probability of rolling a specific number is 1/6
<span>Let's solve your equation step-by-step.<span><span><span>5x</span>+<span><span>12</span><span>(<span><span>4x</span>+8</span>)</span></span></span>=25</span>Step 1: Simplify both sides of the equation.<span><span><span>5x</span>+<span><span>12</span><span>(<span><span>4x</span>+8</span>)</span></span></span>=25</span></span><span>Simplify: (Show steps)</span><span><span><span><span>7x</span>+4</span>=25</span>Step 2: Subtract 4 from both sides.<span><span><span><span>7x</span>+4</span>−4</span>=<span>25−4</span></span><span><span>7x</span>=21</span>Step 3: Divide both sides by 7.<span><span><span>7x</span>7</span>=<span>217</span></span><span>x=3</span><u>Answer:</u><span>x=<span>3</span></span></span>