Refer to the diagram shown below.
Let the distance that Sassoon travels is d miles.
Let his average speed be x mph.
The time of travel is from 1 p.m. to 4 p.m., which is 3 hours.
Therefore
3x = d (1)
The distance that Archer travels is (d + 300) miles.
The time of travel is from 9 a.m. to 4 p.m., which is 7 hours.
The average traveling speed is (x + 20) mph, therefore
7(x + 20) = d + 300
That is,
7x + 140 = d + 300
7x = d + 160 (2)
Subtract (1) from (2).
7x - 3x = d + 160 - d
4x = 160
x = 40 mph (Sassoon's average speed)
x+20 = 60 mph (Archer's average speed)
From (1), obtain d = 120 mi
Answer:
Archer's speed is 60 mph.
Sassoon's speed is 40 mph.
To solve for the mass of a substance is to simply get the
product of volume and density, that is:
mass = density * volume
So calculating for mass:
mass = (2.76 g / cm^3) * 6 cm^3
<span>mass = 16.56 g</span>
Answer:the map notation is (x,y) to (y,-x) at a 90 degree angle
180 degrees map notation is (x,y) to (-x,-y)
360 degrees map notation is (x,y) to (-y,x)
Step-by-step explanation: the answer is they are congruent
Answer:
I just started
Step-by-step explanation:
Answer:
3769.92 ft
Step-by-step explanation:
The diameter of the wheel, d= 60 ft
We know the perimeter of the wheel is,
= πd
= 3.1416*60
= 188.496 ft
Wheel travel for 5 minutes. So the wheel travel,
= 5*60
= 300 sec
The wheel rotates in every 15 seconds. So the wheel rotates,
= 300/15
= 20 times
In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,
= 188.496*20
= 3769.92 ft