Answer:
1) Distance in feet equals 1640.4 feet
2) Distance in miles equals 0.3107 miles.
Step-by-step explanation:
From the basic conversion factors we know that
1 meter = 3.2808 feet
Thus by proportion we conclude that
Similarly using the basic conversion factors we know that
1 mile = 1609.34 meters
thus we conclude that 1 meter = miles
Hence by proportion 500 meters = miles
Answer:
1. congruent
corresponding
2.supplementary
same side interior
Step-by-step explanation:
Answer:
<u>Using below system of inequalities</u>
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
Answer:
95999.99924
Step-by-step explanation:
9.6 × 10^4 = 9.6 × 10,000 = 96000
7.6 × 10^-4 = 7.6 × 0.0001 = 0.00076
96000 - 0.00076 = 95999.99924
9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)