Answer:
height = 14.2 m , base = 7.1 m
Step-by-step explanation:
let the base be b then height h = 2b
The area (A) of a triangle is calculated as
A = bh
Here A = 50 , then
× b × 2b = 50
b² = 50 ( take square root of both sides )
b = ≈ 7.1 ( to the nearest tenth )
Then base = 7.1 m and height = 2 × 7.1 = 14.2 m
Answer:
9. 66°
10. 44°
11.
12.
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a =
a =
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a =
a =
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) =
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) =
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
<em>I am against people doing this.</em>
<em>I think it's wrong because for some reason scientists are permitted to do this but that is breaking the law. I hate how they do it because these are just innocent animals that did nothing wrong to us, our scientists just decide it's ok to go stick needles in them and put stuff on them. My biggest problem with this is that they don't care about the effects their products have on innocent animals and instead of fixing their mistake and just apply it to humans, they just keep on going like there's no tomorrow. Animals have done nothing wrong to these people and I think that it's wrong to do so. Also, I don't really think that this proves anything. An animal's skin and fur are different than a human's skin and hair so it would make no sense to test these things on them because it really is guaranteed to give an accurate answer. Animals differ from us in so many ways that you should be able to think that scientists wouldn't harm these lovely creatures, but instead, they do. Why do scientists hurt these animals? I don't want to live in a world with hurt animals, especially when some of them have World Records, like the Sea Otter.</em>
<em>-R3TR0 Z3R0</em>
