Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft
Answer:
47 13/21
Step-by-step explanation:
Given
11 1/9 x 4 2/7
First change the fractions to improper fractions.
We have ,
100/9 x 30/7
Multiply through
3000/63
Divide the numerator and denominator by 3
1000/21
47 13/21
Answer:
f(x)=3x−1
2
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain:
(−∞,∞),{x|∈R}
Range:
(−∞,∞),{y|y∈R}
1.
1.2 x^4 ( 4 x² + 3 x + 1 ) = 4.8 x^6 + 3.6 x^5 + 1.2 x^4
2.
( 4 x - 3 ) ( 2 x² - 7 x + 1 ) = 8 x³ - 28 x² + 4 x - 6 x² + 21 x - 3 =
= 8 x³ - 34 x² + 25 x - 3
3.
( x² + 4 x - 3 ) ( 2 x² + x + 6 ) =
= 2 x^4 + x³ + 6 x² + 8 x³ + 4 x² + 24 x - 6 x² - 3 x - 18 =
= 2 x^4 + 9 x³ + 4 x² + 21 x - 18
