Step-by-step explanation:
I am not allowed to answer more than 3 questions. So I will do the first 3.
15a. i) (2/3) = 4/9
ii) (2/3) = 8/27
iii) (2/3) = 16/81
b. The product is small because you are finding the fraction of a fraction.
16. Compared to the factors, the product is less than each fraction. This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction. When you multiply a whole number by a fraction, the whole number decreases. The same applies to a fraction.
17a. 0.4 × 0.3 = 0.12
b. 0.4 = 4/10 = 2/5
0.3 = 3/10
3/10 × 2/5 = 6/50
The second result is more precise because it's in millilitre,so if the first were to be fully precise,it should have been 78.6 cm.
Hope this helps!
Answer:
x−12
x^2
Step-by-step explanation:
Answer:
x = ± 
Step-by-step explanation:
Given
2x² - 9 = 11 ( add 9 to both sides )
2x² = 20 ( divide both sides by 2 )
x² = 10 ( take the square root of both sides )
x = ±
← exact solutions
10. The volume of the triangular prism is
, then
.
11. The volume of the triangular pyramid is
, then
.
12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.
13. See 10 and 11 for notations in symbols.