Step-by-step explanation:
Cross Multiplying
Therefore
Hope it will help you.
Answer:
a= 3/11
b = 2/11
Step-by-step explanation:
a(1) + b(4) = 1
a + 4b = 1
a(3) + b(1) = 1
3a + b = 1
b = 1-3a
a + 4(1-3a) = 1
a+ 4-12a = 1
-11a = -3
a = 3/11
b = 1-3(3/11)
b= 2/11
Answer:
Move it to the right by 3 spaces.
Step-by-step explanation:
10^3 is 1000
On a number line the negative numbers are on the left and the positive numbers are on the right. So since the exponent is a positive 3 we move it to the right by 3 spaces to get 140
Answer:
T^75
Step-by-step explanation:
3 times 5 = 15
5 times 15 = 75
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.
keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.
however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.
now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.
360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.
then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.
and you can keep on going around the circle, but only four are needed this time only.
