Answer:
1 and 11/16 miles
Step-by-step explanation:
running around once is 3/8 miles, 4 1/2 is the same as 9/2
9/2 * 3/8 = (9*3)/(2*8) = 27/16, or 1 and 11/16
Answer:
h = 
Step-by-step explanation:
Area (A) of a triangle =
× base (b) × height (h)
i.e A =
bh
h = 
Answer:

General Formulas and Concepts:
<u>Calculus</u>
- Derivative Notation
- Definition of a Derivative:

Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -10x
<u>Step 2: Find Derivative</u>
- Substitute:

- Distribute -10:

- Distribute -1:

- Combine like terms:

- Divide:

- Evaluate:

Answer:
The length of the hypotenuse is 2.4m
Step-by-step explanation:
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 55°
o: opposite = 2.0m
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
we look at which meets those data between the sine, cosine and tangent
is the sine
sin α = o/ah
Now we replace the values and solve
sin 55 = 2.0/h
0.81915 = 2.0/h
h = 2.0 / 0.81915
h = 2.4415 m
round to the nearest tenth
h = 2.4415 = 2.4 m
The length of the hypotenuse is 2.4m
Answer:
The simplified form of the expression is
.
Step-by-step explanation:
The expression is:

The division rule of exponents is:

The negative exponent rule is:

Simplify the expression as follows:
![\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%5Ccdot%20y%5E%7B2%7D%7D%7Bx%5E%7B4%7D%5Ccdot%20y%5E%7B6%7D%7D%3D%5Bx%5E%7B-3-4%7D%5D%5Ctimes%20%5By%5E%7B2-6%7D%5D)

Thus, the simplified form of the expression is
.