Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.

- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating
, but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>
, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>
. But, how do we decide between answers a and c? - If a line has point at its beginning,
, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
You want to end up with
. Expand this using the angle sum identity for sine:

We want this to line up with
. Right away, we know
.
We also need to have

Recall that
for all
; this means

Then

So we end up with


- Simplify :- 1 + - w² + 9w.


Quadratic polynomial can be factored using the transformation
, where
are the solutions of the quadratic equation
.

All equations of the form
can be solved using the quadratic formula:
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

Square 9.

Multiply -4 times -1.

Add 81 to 4.

Multiply 2 times -1.

Now solve the equation
when ± is plus. Add -9 to
.

Divide -9+
by -2.

Now solve the equation
when ± is minus. Subtract
from -9.

Divide
by -2.

Factor the original expression using
. Substitute
for
and
for
.

<h3>NOTE :-</h3>
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨

This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)
The volume of a pyramid is found by multiplying the length, width and height together then dividing by 3.
length x width x height = 12 x 12 x 12 = 1728
volume = 1728 / 3 = 576 cubic cm