Answer:
t = 9.08 sec
Explanation :
This requires the use of the kinematic equations.
u = initial velocity = 21.8 m/s
v = final velocity = 0
t = time = what we're trying to find.
So we use the equation that relates d, u, v and t. This is
d = distance = 99m
d = 
and since v = 0 this reduces to d = 
which rearranges to t = 
t = 
=9.08 seconds
t = 9.08 sec
The value of m ∠ RPS is 64. 7°
<h3>What are collinear angles?</h3>
Collinear angles are angles formed when three or more points lie on the same straight line.
Note that angles on a straight line sum up to 180 degrees.
From the diagram given, we can see that the angles are collinear angles and thus sum up to 180 degrees;
- m ∠QPS = 88°
- m ∠ RPS = 5x + 34°
- m ∠ QPR = 8x + 15°
m ∠QPS + m ∠ RPS + m ∠ QPR = 180°
88° + 5x + 34° + 8x + 15° = 180
collect like terms
5x + 8x = 180 - 137
Add like terms
13x = 43
Make 'x' the subject of formula
x = 43/ 7
x = 6. 14
m ∠ RPS = 5x + 34 = 5 ( 6. 14) + 34 = 30. 7 + 34 = 64. 7°
Thus, the value of m ∠ RPS is 64. 7°
Learn more about collinear points here:
brainly.com/question/3307641
#SPJ1
Answer:
the answer is about 62
Step-by-step explanation:
It would help if you find common denominator... 12
so 1/3 times 4 both the numerator and denominator
4/12
and 3/4 times by 3 both the numerator and denominator
9/12
the recipe calls for 4/12 cup of oil and you have 9/12
two batches would be 8/12 cups of oil, you have 9/12 that is just enough for the recipe for two batches...
now to simplify it again, 1/3 + 1/3 = 2/3 and 2/3 is less than 3/4
the answer would be the upper right
