Answer: his speed when skateboarding 5 mph and when walking is 2 mph
Step-by-step explanation:
Marlon started riding his skateboard from his house at 1:30 until 2:15 when he started walking. This means that the time he spent riding his skateboard is
2:15 - 1:30 = 45 minutes
Converting 45 minutes to hours, it becomes
45/60 = 0.75 hour
He walked the rest of the way. He arrived at the beach at 3:00. This means that the time he spent walking is
3:00 - 2:15 = 45 minutes
Converting 45 minutes to hours, it becomes
45/60 = 0.75 hour
Let x represent Marlon's walking speed.
Marlon's speed on his skateboard is 2.5 times his walking speed. This means that his speed when skateboarding is 2.5x
Distance = speed × time
Distance covered while walking is
x × 0.75 = 0.75x
Distance covered while skateboarding is
2.5x × 0.75 = 1.875x
Since the total distance to the beach is 5.25 miles, then
0.75x + 1.875x = 5.25
2.625x = 5.25
x = 5.25/2.625
x = 2mph
His speed while skateboarding is
2.5x = 2.5 × 2 = 5mph
Hello,
1)
Let's put some name of vertex:
A with angle A=45°
B with angle B=90°
C The 3 vertex of the triangle of left.
AC=9 , y=AB=BC
With Pythagore, we can say: y²+y²=9²==>2y²=81===>y=9/√2=9√2/2
The other triangle is BDC: cos(60°)=x/y==>x=y*1/2=9√2/4
2)
Let's give some names:
A with angle A=60°
B with angle B=90
C the 3th vertex of the left triangle.
AB=10, BC=y
tan 60°=y/10=sin(60°)/cos(60°)=(√3/2)/(1/2)=√3==>y=10√3
D is the 3 th vertex of the right triangle.
We use Pythagore: y²+y²=x²
x²=2*(10√3)²===>x=10*√6
Answer:
3 left; 1 down
Step-by-step explanation:
You can determine the translation by identifying corresponding points on the two figures and counting the grid squares between them.
__
Here Q is a translation of P by 3 squares to the left and 1 square down.
Answer:
The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time
Step-by-step explanation:
we have
This is a vertical parabola open downward
The vertex represent a maximum
where
h is the height of the bird
t is the amount of time, in seconds, the bird had been in the air
For h=40 ft
substitute in the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time
s < 30,000$ i dont know if this is what the question is asking but its the best i can come up with given the information you gave to me.
