Answer:b
Step-by-step explanation:
Step 1 :
x
Simplify —
4
Equation at the end of step 1 :
x
— - -8 ≥ 0
4
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
-8 -8 • 4
-8 = —— = ——————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (-8 • 4) x + 32
———————————— = ——————
4 4
Equation at the end of step 2 :
x + 32
—————— ≥ 0
4
Step 3 :
3.1 Multiply both sides by 4
Solve Basic Inequality :
3.2 Subtract 32 from both sides
x ≥ -32
Inequality Plot :
3.3 Inequality plot for
0.250 x + 8.000 ≥ 0
One solution was found :
x ≥ -32
Answer:d
Step-by-step explanation:
Answer: See below.
The sine ratio is the ratio of the opposite side over the hypotenuse in a right triangle. The hypotenuse is always the largest side of a triangle.
Therefore, the denominator will always be the largest. If the denominator is larger than the numerator, it will be a number less than one.
And it will be positive because it is an acute angle so the triangle when plotting in the unit circle would only be in the first quadrant. All values in the first quadrant are positive.
Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Answer:
c.(1) Impossible c.(ll) unlikely
