Answer:
30 m^2.
Step-by-step explanation:
This is a right-angled triangle because it obeys the Pythagoras theorem
( 13^2 = 12^2 + 5^2).
So its area = 1/2 * base * height
= 1/2 * 5 * 12
= 30 m^2
Answer:
23
Step-by-step explanation:
It is given that, in Russia there are 21 rocket launch failures out of 743 total launches. We need to find no of failures for the next 800 launches.
21 rocket = 743 launches
1 launch = 
For 800 launches,

or
= 23 failures
So, there are 23 failures in next 800 launches.
Answer:
See explanation
Step-by-step explanation:
Plot the solution sets to both inequalities.
1. For the inequality
First, plot the dotted line
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

so the origin does not belong to the needed part. Shade the part, which does not include origin.
2. For the inequality
First, plot the dotted line
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

so the origin does not belong to the needed part. Shade the part, which does not include origin.
3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.
Answer:
(9x²)²
Step-by-step explanation:
Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.
y = 81x⁴
Then we take the square root of both sides of the expression
√y = √81x⁴
y^½ = √81 × √x⁴
y^½ = 9x²
Squaring both sides of the resulting equation to get y back
(y^½)² = (9x²)²
y = (9x²)²
The expression as a square of a monomial is (9x²)²