Answer:
24 hours
Step-by-step explanation:
set up a ratio:
12 miles = 16 hours
------------- ------------
18 miles = x hours
cross multiply
12m * x = 16h * 18 m
solve for x
x=16h * 18m / 12m = 24 hours
Answer:
Answers G, and A
Step-by-step explanation:
the motion of a body is as a result of the various forces acting on it.
As the coin is tossed upwards an upwards force acts on it and this force decreases up to the highest point the coin reaches. at the highest point the force of gravity applies. This force is downwards and constant (9.8m/
).
Answer:
The expressions which equivalent to
are:
⇒ B
⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
Now let us find the equivalent expressions of 
A.
∵ 4 = 2 × 2
∴ 4 = 
∴
=
- By using the second rule above multiply 2 and (n + 2)
∵ 2(n + 2) = 2n + 4
∴
=
B.
∵ 4 = 2 × 2
∴ 4 = 2²
∴
= 2² ×
- By using the first rule rule add the exponents of 2
∵ 2 + n + 1 = n + 3
∴
=
C.
∵ 8 = 2 × 2 × 2
∴ 8 = 2³
∴
= 2³ ×
- By using the first rule rule add the exponents of 2
∵ 3 + n = n + 3
∴
=
D.
∵ 16 = 2 × 2 × 2 × 2
∴ 16 = 
∴
=
×
- By using the first rule rule add the exponents of 2
∵ 4 + n = n + 4
∴
=
E.
is in its simplest form
The expressions which equivalent to
are:
⇒ B
⇒ C
$9.47
I just multiplied the total by the refund percentage to get that number. It’s just like finding a tip.
Answer:

Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:

Make h the subject:

Also, in BOC (Using Pythagoras)

Make
the subject

Substitute
for h
becomes


Factorize

In trigonometry:

So, we have that:

Take square roots of both sides

In triangle BOA, applying Pythagoras theorem, we have that:

Open bracket

Substitute
and
in 


Open Bracket

Reorder

Factorize:

In trigonometry:

So, we have that:


Take square roots of both sides
