Answer:
Step-by-step explanation:
1. sinФ = cos 25
25 ° is in the between 0 and 90°
therefore it can simply represent
cosФ= sin (90-Ф) = sin (90 - 25) = sin 65
2. sin(Ф/3 + 10) = cos Ф
cos Ф = sin (90 -Ф)
sin(Ф/3 + 10) = cos Ф
sin(Ф/3 + 10) = cos Ф = sin(90-Ф)
Ф/3+10=90-Ф
10Ф+3/30 = 90-Ф
10Ф+3 = 30(90-Ф)
10Ф+3 = 2700-30Ф
10Ф+30Ф=2700-3
40Ф = 2697
Ф = 2697 / 40 = 67.425 ≅ 67.4°
61 ft. 6 in. Wide lot
61'6" - 7'2" -41'6" = 20'6" -7'2" = 13"4"
13'4" is the distance the house is from the other side of the lot
<u>Answer:</u>
- The value of c is 2√2 or about 2.8.
<u>Step-by-step explanation:</u>
<u>We can find the hypotenuse (c) with the help of Pythagoras Theorem.</u>
- => c² = 2² + 2²
- => c² = 4 + 4
- => c² = 8
- => c = √8
- => c = √2 x 2 x 2
- => c = 2√2
<u>If you want further simplification, seek for explanation below.</u>
- => c = 2√2
- => c = 2 x √2
- => c = 2 x 1.414
- => c = 2.828 = 2.8 (Estimated)
Hence, <u>the value of c is 2√2 or about 2.8.</u>
Hoped this helped.

Answer:
rotation and enlargements
Step-by-step explanation:
triangle XYZ is rotated to make triangle GHI and triangle GHI is enlarged by a scale factor of around 2.6? to make triangle MNO then triangle MNO is rotated to make triangle EDF
Answer:
$612
Step-by-step explanation:
Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,
17 · 9 = 153
This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.
153 x 4 = 612