Answer: the actual length and width of the room is 24ft by 36ft
Step-by-step explanation:
The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.
Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be
6 × 4 = 24 feet
Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be
9 × 4 = 36 feet
Answer:
x = 5
Step-by-step explanation:
using the sine or cosine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:

Step-by-step explanation:
<u>Equation of a circle</u>

(where (a, b) is the center and r is the radius)
Given:
- center = (5, 1)
- diameter = 4√5
Diameter = 2r (where r is the radius)
⇒ r = 4√5 ÷ 2 = 2√5
Substituting these values into the equation:


ANSWER

EXPLANATION
A basic sine curve has equation in the form:

Where 'a' is the amplitude.
In this case a=2 because the amplitude is 2.

For a transformed sine function, the general equation is:

where a=2 is still the amplitude

This is also a sine function with an amplitude of 2.
Others include:


e.t.c
The final answer is
y = -2x - 6