Answer:
it take 1/7 km in 1 hour then,
1 km it take 7 hours
so, it cover 5 km in 35 hours
1/7 km ------- 1 hour
1km ------- 7 hour
5km -------( 5*7) == 35 hours
In order to do this, we have to 1st find the volume of each ball using the sphere volume formula: 4/3(pi)r^3
Baseball: 4/3(pi)(1.375in)^3
Soccer ball: 4/3(pi)(4.25in)^3
Calculate to get:
Baseball: about 10.89
Soccer ball: about 321.56
So subtract these 2 numbers:
321.56in^3 - 10.89in^3
= 310.67 in^3
So the difference in volume between these two objects would be 310.67 in^3
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + k) represents a horizontal translation of f(x)
• If k > 0 then shift left by k units
• If k < 0 then shift right by k units
Here the shift is 4 units to the left, thus
y = (x + 4)²
Given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then shift up by k units
• If k < 0 then shift down by k units
Here the shift is 3 units down, thus
y = (x + 4)² - 3 → C
