Answer:
0.5(x)(x + 2) = 24 (A)
x² + 2x – 48 = 0 (D)
x² + (x + 2)² = 100 (E)
Question:
A question related to this found at brainly (ID:4482275) is stated below.
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 24
Step-by-step explanation:
Find attached the diagram.
Area of triangle = ½ × base × height
= 0.5×b×h
base= x ft
Height = (x+2) ft
Area = 24ft²
24 = 0.5(x)(x+2)
0.5(x)(x + 2) = 24 (A)
The equations that can be used to find the lengths of the legs of the triangle must be equivalent to 0.5(x)(x + 2) = 24
On expanding this: 0.5(x)(x + 2) = 24
0.5(x²+2x) = 24
b) x(x + 2) = 24
x(x + 2) is not equal to 0.5(x²+2x)
c) x² + 2x – 24 = 0
0.5(x²+2x) = 24
0.5x²+x - 24 = 0 is not equal to x²+2x- 24 = 0
d) x² + 2x – 48 = 0
0.5(x)(x + 2) = 24
½(x)(x + 2) = 24
x² + 2x = 2(24)
x² + 2x – 48 = 0
Correct option (D)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x = 96
2(x² + 2x +48)= 0
x² + 2x +48 = 0 is equal to 0.5(x²+2x) = 24
Correct (E)
The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = 2x – 41
Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.
Then the correct option is C.
More about the domain and range link is given below.
brainly.com/question/12208715
#SPJ1
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx =
=
, then
x =
(
) ≈ 38.7° ( to 1 dec. place )
Answer:
Value of f (Parapedicular) = 7√6
Step-by-step explanation:
Given:
Given triangle is a right angle triangle
Value of base = 7√2
Angle made by base and hypotenuse = 60°
Find:
Value of f (Parapedicular)
Computation:
Using trigonometry application
Tanθ = Parapedicular / Base
Tan60 = Parapedicular / 7√2
√3 = Parapedicular / 7√2
Value of f (Parapedicular) = 7√2 x √3
Value of f (Parapedicular) = 7√6
Answer:402593
Step-by-step explanation: