Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem
substitute the given values
simplify
step 2
In the right triangle ACD
Find the cosine of angle CAD
substitute the given values
----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC
substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross
step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem
substitute the given values
simplify
To find 1. all you have to do is 165/30 and you get $5.50. To find 2. you have to add 165+45 you get 210. then divide 210/40 and you get 5.25
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
Substituting:
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Answer:
The ratio is 10 : 1, or 10 to 1
Step-by-step explanation:
Answer:
x = 159; y = 140
Step-by-step explanation:
a = 40
a + y = 180
y = 180 - 40
y = 140
b = 61
b = (180 - x) + a
61 = 180 - x + 40
x = 159
