Because 1 minute is 60 seconds, and it takes 12 seconds to download 8 apps, the first thing we need to do is find out how many "sets" of 12 seconds can go in 60 seconds:
60 / 12 = 5
Now, all we have to do is multiply the number of apps by 5, and we get our answer:
8 · 5 = 40
So, it would take Deandre 1 minute to download 40 apps.
Answer:
For a flag with 2 different colours, there are 8 possible colours for the first colour to be chosen from and 7 possible colours (excluding the first colour already chosen) for the second colour to be chosen from, given that colours are different. Hence there are a total of 8 x 7 = 56 possible flags to be created.
Step-by-step explanation:
Answer:
Plane B is closer.
Step-by-step explanation:
Plane B is closer.
The distance for Plane A is 7.9 km.
The distance for Plane B is 7.4 km.
Step-by-step explanation:
To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...
-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km
-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km
The Pythagorean theorem can be used to find the distance from each plane to the tower:
-- distance = √((ground distance)² + (height)²)
-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km
-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km
The distance for Plane B is shorter, so Plane B is closer to the tower.
Answer:
y-intercept: (0,5); x-intercept: (5/2, 0)
Step-by-step explanation:
The equation of the line is given: -4x + 7 = 2y - 3.
To find the x-intercept, set y = 0 and solve for x:
-4x + 7 = 0 - 3. This becomes -4x = -10, or x = 5/2. The x-intercept is (5/2, 0).
To find the y-inercept, set x = 0 and solve for y:
0 + 7 = 2y - 3, or 2y = 10, or y = 5. Then the y-intercept is (0, 5).
Answer:
Below.
Step-by-step explanation:
One method is by Trial and Improvement.
Example: Find the cube root of 20.
We know that cube root of 8 is 2 and cube root of 27 is 3 so the cube root of 20 is between 2 and 3.
So we could try 2.5:
2.5^3 = 6.25 * 2.5 - Use long multiplication to get 15.625.
So we need to go higher so we try 2.6*3:
= 17.576
2.7^3 = 19.683.
2.8^2 = 21.952.
The results are either side of 20 with 19.683 the closest.
So we can say that the cube root is 2.7 to the nearest tenth.
Further calculations are necessary to get an answer correct to the nearest hundredth.
This is a rather long process.......
