Answer:
It will take the boulder approximately 4.28 seconds to hit the road
Step-by-step explanation:
The given height of the cliff from which the boulder falls, h = 90 feet
The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²
Where;
h = The height of the cliff = 90 ft.
u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)
g - The acceleration due to gravity ≈ 9.81 m/s²
t = How long it will take for the boulder to hit the road below
Plugging in the values gives;
90 = 0 × t + (1/2)×9.81×t² = 4.905·t²
∴ t = √(90/4.905) ≈ 4.28
The time it takes the boulder to hit the road, t ≈ 4.28 seconds.
Answer:
111°
Step-by-step explanation:
Let the centre of the circle be C
mRQ=157 (marked)
The angle at the centre of a circle standing on an arc is twice any angle at the circumference, standing on the same arc. So <SCR=2(SQR)=2(46)=92. mSR=<SCR=92
All the arc measure add up to 360 so:
mSQ+mRQ+mSR=360
mSQ+157+92=360
mSQ=360-249=111
Answer:
The radius of the circle is 12.006 m.
Step-by-step explanation:
Let us assume the radius of the circle = r
Circumference = 75.4 m
Now, CIRCUMFERENCE OF A CIRCLE = 2 π r
⇒ 75 .4 m = 2 π r
Now, putting π = 3.14, we get:
75 .4 m = 2 (3.14) r
⇒ 75.4 = 6. 28 r
or, r = 75.4/6.28 = 12.006
or, r = 12.006 m
Hence, the radius of the circle with circumference 75.4 m is 12.006 m.
Answer:
I believe it would be 86 cups left of milk.
Step-by-step explanation:
8 gallons= 128 cups of milk
3 quarts= 12 cups
Plus the 1 cup of milk he had equals 141 of milk in total
Now the customer wants 2 gallons (32 cups of milk), 5 quarts ( 20 cups), and 3 cups which is 55 cups of milk.
Now we minus what the customer bought from what the shop keeper had so:
55-141=86
Answer:
Choice A
Step-by-step explanation:
y-intercept = -3
double-checked on calculator