Answer:
The third angle measures 80°
Step-by-step explanation:
Let us solve the question
In any triangle
∵ The sum of the measures of the interior angles of a triangle is 180°
∵ The angle of triangles are ∠1, ∠2, and ∠3
∴ m∠1 + m∠2 + m∠3 = 180°
∵ Two of the angles of the triangle are 30° and 70°
∴ m∠1 = 30°
∴ m∠2 = 70°
→ Substitute them in the rule above
∴ 30° + 70° + m∠3 = 180°
→ Add the like terms
∵ (30 + 70) + m∠3 = 180
∴ 100 + m∠3 = 180
→ Subtract 100 from both sides
∵ 100 - 100 + m∠3 = 180 - 100
∴ m∠3 = 80°
∴ The third angle measures 80°
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.
Answer: 4
Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.
Answer:
dino
Step-by-step explanation:
yup
