Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 24 in³
Process
1.- Find the prime factors of 24
24 2
12 2
6 2
3 3
1
2.- Volume of a rectangular package
Volume = length x height x width
3.- Possible values are, combine the prime factors to find the volume
Volume = 4 x 2 x 3 or
Volume = 2 x 4 x 3
Volume = 3 x 2 x 4
Volume = 2 x 2 x 6
Volume = 6 x 2 x 2
Volume = 2 x 6 x 2
Volume = 12 x 2 x 1
Volume = 1 x 12 x 2
Volume = 2 x 1 x 12
Answer:
4949/200=
Step-by-step explanation:
Answer:
the side of a square is 45 m
Step-by-step explanation:
The computation of the side of the square field that contains the similar area as compared with rhombus is given below:
As we know that
Area of rhombus = Base × Altitude
= 81 × 25
= 2025
And, area of Square = Side × side
2025 = side^2
side = √2025
= 45m
Hence, the side of a square is 45 m
