You can use the Pythagorean theorem, a^2+b^2=c^2, to solve this.
b= square-root of (c^2)-(a^2)
b= square-root of (9^2)-(2^2)
b= 8.77.... which in the exact form is square root of 77.
Answer:
(a) 
Step-by-step explanation:
The question is incomplete. (See comment for complete question).
From the completed question, we have:
--- number of pyramids
Required
An expression for the area of the base
The total base length of the pyramid represents the perimeter of the base.
And since the base is a square, then the following relationship exist.
Where L represents the length of each side.
This gives
Make L the subject
The area of the base is then calculated as:
Answer: One book has a greater mass.
Step-by-step explanation:
Jamal has a pair of shoes with a total mass of 960 grams. This means that each shoe has a mass of:
960 grams ÷ 2= 480 grams per shoe.
Jamal also has four identical books with a total mass of 2 kilograms. Note that 1000 grams make a kilograms. Therefore 2 kilograms will be (2 × 1000 grams) = 2000 grams.
Each book will have a mass of:
2000 ÷ 4 = 500 grams per book.
One shoe has a mass of 960 divided 2 = 480 grams . One book has a mass of 2000 divided 4 = 500 grams . So one book has a greater mass.
Answer:
log x^13.
Step-by-step explanation:
Using the laws of logarithms
a log b = log b^a and log a + log b = log ab:
3 log x^2 + 7 log x
= log (x^2)^3 + log x^7
= log x^6 + log x^7
= log (x^6*x^7)
= log x^13.
