Answer:
-1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
16f=−4
Step 2: Divide both sides by 16.
Answer:
2
Step-by-step explanation:
Period of tan is π radians
f(x - π) is a horizontal shift of π towards the right
Answer:
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Step-by-step explanation:
The ratios are in their simplest form are the ratios that cannot be simplified further.
We will check all the ratios one by one
<u>A 25:24</u>
Cannot be further simplified so it is in the simplest form
<u>B 19:24</u>
Cannot be simplified further.
<u>C 23:24</u>
Cannot be simplified further
<u>D 11:16</u>
Cannot be simplified further
<u>E 27:18</u>
Further simplified, so it was not in simplest form.
Hence,
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Answer:
Step-by-step explanation:
<u>Trapezoid</u>
The trapezoid has been broken into two triangles and a rectangle. The two triangles both have the same dimensions, so both have the area ...
A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²
The rectangle has area ...
A = bh = (2 m)(5 m) = 10 m²
So, the total area of the trapezoid is ...
trapezoid area = 5 m² +10 m² +5 m²
trapezoid area = 20 m²
__
<u>Kite</u>
The kite has been broken into two triangles, so the area of each of them is ...
A = (1/2)bh
A = (1/2)(7 m)(3 m) = (21/2) m²
Then the area of the two halves of the kite will be ...
kite area = 2 × (21/2 m²)
kite area = 21 m²
__
The area of the trapezoid is <u>1 m² less than</u> the area of the kite.
