Assuming that the meteor crater forms a hemisphere, the formula for the surface area of the crater would be 2(pi)(radius^2). Set the crater equal to the formula for a hemisphere and substitute pi for 22/7 and you’d get 9687 = 2(22/7)(radius^2). Do some quick magic on the calculator to simplify and you end up with about 60,889.71 = radius^2. Take the square root from both sides and you get 246.8 when rounded. That should be the length of the radius, and so to find the diameter, just multiply that by 2 to get 493.5. Now I don’t really know what shape you mean by meteor crater, so we’re just assuming here that you mean half of a sphere, or a hemisphere. Don’t know if this is what you’re looking for, so good luck.
Given:
∠JEK + ∠DFH = 90°
Find:
relationship, if any, of ∠JEK to angles CFL, HFG, LFE
Solution:
We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.
Evaluating the choices, we find
A) false. The angles are not complementary, they are equal.
B) false. The angles are not equal, they are complementary.
C) false. The angles are not supplementary, they are equal.
D) TRUE. The angles are equal.
The appropriate choice is ...
D) ∠JEK ≅∠CFL
X=13; do you need the work? Also for future reference symbolab.com is where I get all my answers.
Answer:
70°
Step-by-step explanation:
All triangles' angles are added up to 180°
30 + 80 + x = 180
110 + x = 180
x = 180 - 110
x = 70
The x-intercept of f(x) = (x + 6)(x - 3)
f(x) = 0 → (x + 6)(x - 3) = 0 → x + 6 =0 or x - 3 =0
x = -6 or x = 3
Therefore the x-intercepts are: (-6; 0) and (3; 0)
Your answer is (-6; 0)
