Answer:
921.165 feet
Step-by-step explanation:
Ok we are looking for the length of the base.
Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.
The height= 645 feet
Angle of elevation= 35°
Base is unknown
To find the base
We recall that tan of angle
= opposite/adjacent
In this case
Angle= 35°
Opposite= height= 645
Adjacent= base
Tan 35 = 645/adj
Adj =645/tan 35
Adj =645/0.7002
Adj = 921.165
The base is 921.165 feet
Answer:
x = 0
, y = 7/6
Step-by-step explanation:
Solve the following system:
{18 y - 12 x = 21
6 x - 9 = -9
In the second equation, look to solve for x:
{18 y - 12 x = 21
6 x - 9 = -9
Add 9 to both sides:
{18 y - 12 x = 21
6 x = 0
Divide both sides by 6:
{18 y - 12 x = 21
x = 0
Substitute x = 0 into the first equation:
{18 y = 21
x = 0
In the first equation, look to solve for y:
{18 y = 21
x = 0
Divide both sides by 18:
{y = 7/6
x = 0
Collect results in alphabetical order:
Answer: {x = 0
, y = 7/6
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229
Answer:
25/14
Step-by-step explanation:
First, we need the probability of picking an odd number.
There are 5 cards in total, and 3 odd cards (3, 5, and 7).
That means that the probability that we'll draw an odd card would be 
.
Then, we have 4 cards left, and 2 even cards (4 and 6), meaning that the probability that we draw an even card will be 
or 
.
To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.
or 0.3.
To convert this into a percentage, we multiply the decimal by 100.
.
So the probability of picking an odd number and then picking an even number is 30%.
Hope this helps!
