Answer:
AM = 4
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
AM = × 12 = 4
answer
objects are pulled toward Earth's center? Earth has a magnetic force that is strongest at its core. Earth has a much greater mass than objects on its surface. The weight of the atmosphere pushes objects toward Earth's surface
Given:
1 mile = 5280 feet
1 meter = 3.3 feet
convert 60 miles per hour to meters per second
60 miles to meters
60 miles x <u>5280ft</u> x <u>1meter</u> = (60*5280m)/3.3 = 316800m/3.3
1 mile 3.3ft
= 96,000 meters
1 hour to seconds
1 hour x <u>60 minutes</u> x <u>60 seconds</u> = 1 * 60 * 60sec = 3600 seconds
1 hour 1 minute
unit rate: meters per second
96000 meters ÷ 3600 seconds = 26 2400/3600
simplify 26 2400/3600 ⇒ 26 2/3 meters per second
2400 ÷ 1200 = 2
3600 ÷ 1200 = 3
Answer:
Step-by-step explanation:
If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.
Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,
and
and
Now for the forula for the sin of a half-angle:
Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is
Filling in the formula then:
Get a common denominator on the upper fraction:
Bring up the 2 as 1/2 to multiply and get:
When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value:
Answer:
it will take her 12 seconds to hit the water
after 3 seconds she is 36 feet in the air
Step-by-step explanation: