Step-by-step explanation:
note that
sin²x = (1-cos²x)
LHS= cos²x - 2 sin²x
= cos²x - 2(1-cos²x)
= cos²x - 2 + 2cos²x
= 3cos²x - 2
or
cos²x = (1-sin²x)
LHS= cos²x - 2 sin²x
=1-sin²x - 2 sin²x
= 1-3sin²x
Angle B measures 30 degrees.
Step-by-step explanation:
Step 1:
If two angles are complementary, the sum of the two angles will equal 90°.
So if angles A and B are complementary, the sum of the angles A and B will equal 90°.
It is given that cos A = 0.5, we can determine the value of A by taking the cos inverse of the value 0.5.
Step 2:
If cos A = 0.5, A = 
So angle A is 60°.
As A and B are complementary, angle A + angle B = 90°.
So 60° + angle B = 90°, angle B = 90° - 60° = 30°.
So angle B measures 30° while angle A measures 60°.
Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ? Where is the picture
Answer:
9.11x10^-28
Step-by-step explanation:
1.67x10^-24 would be .000000000000000000000000167 and 9.11x10^-28 would be .0000000000000000000000000000911 and because it has more zeros in front of it, 9.11x10^-28 would be the smaller mass
I'm 99.99999999999999999% sure this is correct.
Answer:
The probability that a student taking only math will get picked is approximately 29%
Step-by-step explanation: This is because out of the total number of students taking math (95), 52 of such students are also taking science. In order to get the number of students only taking math you have to do 95-52=43 and to put that against the amount of total students the ratio would be 43:147 or 42/147 and if you plug 42/147 into a calculator you will recieve a long decimal that you can then round to 29%.
