Answer:
8.090169944 or rounded 8.1
Step-by-step explanation:
Use SOH CAH TOA
Look at x and where it is and what you have.
First thing is to get an angle to use, 36, then to set up your equation.
___(36)=___
Figure out what you have.
You have the hypotonouse, 10, and need the adjacent,x, so you use the equation that involves H for hypotonouse and A for adjacent.
You set up your equation using COS, as you are using CAH.
Cos(36)=x/10
X is over ten sure to CAH C-cos A-adjacent and H-hypotonouse
Switch it around to make it equal to x
10*Cos(36)=x
You input it into your calculator. [10] [COS] [36] [ENTER] and you get the answer.
Round however is needed.
Hi there!
To find the perpendicular slope you need to flip the fraction and change the sign. So 1/2=2/1 and tge original slope was positive, so the slope is -2. Now you sub in the point (-7,-4) in for x and y in the formula y=mx+b and solve for b (sub in 2 for m as well)
Y=mx+b
-4=-2*-7+b
-4=14+b
-4-14=b
B=-18
The equation is y=-2x-18
Hope this helps!
Answer:
3% is 300 in intrest
6% is 600 in intrest
4% is 400 in intrest
Step-by-step explanation:
Answer:
Equation: y = 
x
21/2 cups of water
Step-by-step explanation:
Plug in 7 as y and 4 as x
7 = 4k
Find k
k = 7/4
Then plug k into th equation
y = 7/4 x
For the second part of the question:
Plug in x which is 6 into the bolded equation.
y = (7/4)(6) = 42/4 = 21/2 (simplified form)
21/2 cups of water
Answer:
velocity = 10 m/sec in the same direction as the first body did
Explanation:
The momentum of the body can be calculated as follows:
momentum = mass * velocity
For the first body, we have:
mass = 5 kg
velocity = 2 m/sec
momentum = mass * velocity
momentum = 5 * 2 = 10 kg.m/sec
We know that this momentum is transferred completely to the second body
For the second bode, we have:
momentum = 10 Kg.m/sec
mass = 1 kg
momentum = mass * velocity
10 = 1 * velocity
velocity = 10/1
velocity = 10 m/sec
Finally, we should get the direction of the motion:
Both the velocity of the first and second bodies have positive values. Therefore, the second body is moving in the same direction as the first body did.
Hope this helps :)
