Answer:
Step-by-step explanation:
Here is a tip: When you have something that looks like this - ( - , turn it into a plus sign. It looks kind of like a plus sign anyway. So if you have 53- (-32), turn it into 53 + 32. Does that make sense?
So 53 + 32 = 85.
Another tip to do it in your head, is to do 50 + 30 = 80, then do 3 + 2 = 5, and add them. It's easier than trying to juggle the odd numbers. :)
Answer:
The height of the vase is 
Step-by-step explanation:
we know that
The volume of a cone is equal to
we have
substitute and solve for h
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
I’m not great at explaining but I hope with the way I did the work explains.
To solve this problem you must apply the proccedure shown below:
You must apply the Pythagorean Theorem.
a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:
a^2=b^2+c^2
Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.
Then, you have:
a=28 inches
b=15 inches
c^2=a^2-b^2
c=√(a^2-b^2)
c=23.6
Therefore, the answer is: 23.6 inches
a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:
a=√(b^2+c^2)
Where "a" is the hypotenuse
a=31.8 inches
The answer is: 31.8 inches
