Answer:
cos2∅= -0.557
tan2∅= --1.49
Step-by-step explanation:
Given:
cos∅=-8/17
By trigonometric ratios:
as cos∅=adjacent/hypotenuse
hypotenuse= 17
adjacent=-8
Now finding perpendicular using Pythagoras theorem:
c2=a2+b2
17^2=(-8)^2+b^2
289-64=b^2
b^2=225
b=±15
b=-15 as ∅ is in third quadrant so both the opposite and adjacent sides be in 3rd quadrant
tan∅=opposite/adjacent
tan∅=-15/-8
sin∅=-15/17
Now finding cos2∅
cos2∅= 1-2sin^2∅
=1 - 2(-15/17)^2
=1 -450/289
= -161/289
=-0.557
finding tan2∅
tan2∅= 2tan∅/1-tan^2∅
= 2(-15/-8) / 1-(-15/-8)^2
= (15/4) / 1-225/64
=(15/4) / (-161/64)
= -240/161
=-1.49 !
Answer:
3.728 cm²
90
Step-by-step explanation:
To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.
Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.
So, the length of the patches is 
m and the width of the patches is 
m.
Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)
Now, the area of the rectangular piece of material is (28 × 12) = 336 m²
Hence, 
≈ 90 such patches can be made out of the whole material. (Answer)
5 4/5
5 goes into 29 5 times evenly (5 * 5 = 25)
29-25=4
27 divided by 735 is 0.03673469 or 27/735 or
35=-5-10x
Move -5 to the other side
Sign changes from -5 to +5
35+5= -5+5-10x
35+5= -10x
40= -10x
Divide both sides by -10
40/-10= -10x/-10
Answer: x= -4
