Answer:
11.6 is the answer friend.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The volume of the pyramid is given by:
where 
is the area of the base and 
is the height.
We know that the height is:
Thus we need to find the area of the square at the base.
The perimeter of the square is:
this means that the length of the sides of the square is :
Now we can find the area of the base which the area of the square:
and finally we find the volume:
Which rounded to the nearest tenth of a cubic centimeter is:
Answer:
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
sin²θ + cos²θ = 1 ( divide terms by sin²θ )
+ 
= 
, that is
1 + cot²θ = cosec²θ ← as required
step-by-step explanation:
every time we see "a number" or "the same number," we can add a variable (we'll use x here). rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of x and 9.
next, we can work backwards to write an inequality. we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.
for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9. so now the inequality should look like this: 2x - 8 > x + 9.
now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.
then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15
hope this helps! <em>:)</em>
