Answer:
cos15 is equivalent to sin(75)
Step-by-step explanation:
solving for cos15 degrees gives you ((√(3)+1)*√(2))/4 which is the same as the sin(75)
Hi there!

We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
Answer:
290 in^2
Step-by-step explanation:
So what you do is you use the formula of the surface area of a rectangle which is SA=2lw+2lh+2hw.
The length=5. The width=5. The height=12.
You put those numbers into the formula.
2(5)(5)+2(5)(12)+2(12)(5)=290 in^2.
Answer:
0.15x
Step-by-step explanation:
15% of anything is 15/100 or 0.15 of it. You find that value by multiplying the "anything" by 0.15.
Since we don't know the value of x, the best we can do is show that the number of interest is x multiplied by 0.15.
Answer:
see explanation
Step-by-step explanation:
Since figure B is smaller than Figure A then Figure B is a reduction.
To find the scale factor, calculate the ratio of corresponding sides, image to original.
Using the base lines of both triangles, then
scale factor k =
= 