Yes.
If you have a RIGHT triangle with a 29-degree angle in it, and you
divide the length of the leg adjacent to the angle by the length of the
hypotenuse, then it doesn't matter whether the triangle is drawn on
the head of a pin or on a piece of paper that reaches from the Earth
to the Moon, the quotient of (adjacent)/(hypotenuse) will always be
the same number ... about 0.875 .
That number is a property of every 29-degree angle, no matter the size
of the right triangle that it's in. It's called the cosine of 29 degrees.
If you were to divide the leg opposite the 29-degree angle (instead of
the adjacent leg) by the length of the hypotenuse, you'd get a different
number ... about 0.485 . That number is also a property of every 29-degree
angle, no matter the size of the triangle around it. That one is called
the sine of 29 degrees.
I just used 29 degrees as an example. Every angle has a sine and
a cosine, and a few other things too.
If you have an angle, there's no easy way to calculate its sine or its
cosine. You just have to look them up. They're in tables in books,
or on line (just put 'cosine 29' in Google), and if you have a calculator,
they're probably on your calculator too.
You don't know yet what these are good for, or what you can do with
them. That'll be coming up in math before you know it !
So the easiest answer to your question is:
Every angle has properties, characteristics, and aspects of its
personality that you never notice until you really get to know it.
They're called the sine, the cosine, the tangent, the cotangent,
the secant, and the cosecant. They're all numbers, and every
angle has a full set of them !
For first question, you can let t=1.5 and calculate h=140 ft. For second question, we can change the equation to the form of h=-16[(t-2)^2-9]. So you can see from the equation that the maximum height is created when t=2, equals to 144 ft. For question 3, let h=128. From equation, we can get t=3 or t=1. For last question, the rocket hit the lake means h=0, so t=5 or t=-1(not applicable). So the answer is t=5. You can also draw the graphic for the equation to help.
Each neighbor will get 1/2 of the cherry pie and 1/3 of the apple pie.
Answer: The rabbit is hopping at 3 feet/ sec in speed
Step-by-step explanation:
Step 1
Let the The number of feet of the rabbit be expressed as N
AND time rabbit spends hopping can be expressed as t
From the question, The number of feet varies directly with the time rabbit spends hopping can be expressed as
N α t
Let us introduce a constant of proportionality ,S which represents speed in this case, we now have that
N = St
STEP 2 -- SOLVING
If the rabbit hop 6 feet in 2 seconds, Then speed =
N = St
6= S X2
S = 6/ 2
S = 3
also
If the rabbit hop 12 feet in 4 seconds, Then speed =
N = St
12= S X 4
S = 12/ 4
S = 3
Also recall
that Speed = Distance / time
Pluging the values in the first case,
speed = 6 feet/ 2 secconds = 3 feet/ seconds
in the second case
Speed= 12 feet/ 4 second s= 3 feet/ secs.
