Plane #1 speed: x mph
Plane #2 speed: (x+30) mph
time = time becomes
170 mi 185 mi
---------- = --------------
x x+30
Solving for x, the speed of the slower plane, we get
170x + 5100 = 185 x
5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
15
The slower plane flies at 340 mph, and the faster one at 370 mph.
9514 1404 393
Answer:
40 m
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Using the given values, we can find h to be ...
1800 = 1/2(50 +40)h
3600 = 90h . . . . . . . . . multiply by 2
40 = h . . . . . . . . . . . divide by 90
The width of the lawn is 40 meters.
Answer:
The approximate diameter of the larger tank is 8.10 meters
Step-by-step explanation:
Here, we want to calculate the diameter of the larger tank
The volume of a sphere
V = 4/3 * π * r^3
Let us calculate the volume of the standard model
That will be;
Since diameter is 6 and r = d/2
r = 6/2 = 3 meters
V = 4/3 * π * 3^3 = 36 π m^3
Now, the volume of the larger tank is 2.5 times of this;
The volume of the larger tank is 2.5 * 36 π = 90 π m^3
So we can calculate the radius of this before we calculate its diameter
4/3 * π * r^3 = 90 π
4r^3/3 = 90
r^3 = 270/4
r^3 = 67.5
r = 3x√(67.5)
r = 4.07 m
Diameter here is 2 times this
= 4.07 * 2 = 8.14
Answer: George can make 2/3 section of fence an hour.
Explanation: If george can make 1/3 section every half hour than he can make double 1/3 every hour.
1/3 + 1/3 = 2/3
He can make 2/3 every hour.
Answer:
44,39 in
Step-by-step explanation:
To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.
To do this we can start by using trigonometry. (SOH-CAH-TOA)
We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)
So...
Sin(40) = 24 in ÷ <em>h</em>
Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.
hSin(40) = 24 in
Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).
h = 24 in ÷ Sin(40) = 37,34 in
Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))
37,34 in^(2) + 24 in^(2) = 1970,28
And now we take the square root of 1970,28.
Which is about 44,39 in.
<em>If you're not familiar with these concepts I suggest you</em><em> </em><em>search</em><em> </em><em>them</em><em> </em><em>up</em><em>.</em>