Answer:
x = -0.907, 2.57
Step-by-step explanation:
Quadratic Formula: 
Since we are given <em>a</em> = 3, <em>b</em> = -5, and <em>c</em> = -7 from our quadratic, we simply use the Quadratic Formula:
Step 1: Plug in variables
Step 2: Solve
Step 3: Evaluate for decimals
You should get x = -0.906718 and 2.57338 as your answers.
Answer:
Step-by-step explanation:
<u>Set of ordered pairs</u>
- {(–2, 1), (0, 0), (3, –1), (–1, 7), (5, 7)}
<u>Range of the function is the second numbers of the pairs:</u>
<u>Putting them in set notation in ascending order and ignoring duplicates:</u>
A proper fraction is a fraction such as 3/5, or 2/4, any fraction where the numerator is less than the denominator. Then it says "the whole is divided into an even number of equal parts, and an odd number of those parts exists." Such as 1 3/5. From my understanding, you then divide by 2, which would give you 0.8, which could then be turned into 0.4 if that's what your teacher wants you to do. In the end, there will be no odd number.
Answer:
The <em>surface area</em> of the cube is equal to 216 cm².
General Formulas and Concepts:
<u>Geometry</u>
Surface Area Formula [Cube]:
- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 6 cm
<u>Step 2: Find Surface Area</u>
- [Surface Area Formula - Cube] Substitute in <em>a</em>:
- Evaluate:
∴ we have found the surface area of the cube to be 216 cm².
---
Topic: Geometry
Using the law of sins:
side a / sin (angle A) = side b / sin(Angle B)
Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.
replace those values in the formula we get:
50 / sin(58) = b/ sin(48)
so now we can cross multiply the 2 fractions to get:
50 * sin(48) = b*sin(58)
to get b by itself, divide both sides by sin(58) to get:
b = (50*sin(48)) / sin(58)
b = 43.82
You may need to round the answer as needed.
