Answer:
θ ≈ 36.03°
Step-by-step explanation:
We can use tangent (opposite side / adjacent side) for this question:
tan (θ) = 8 / 11
θ = tan⁻¹ (8/11)
θ = 36.02737339
θ ≈ 36.03°
Answer: Hello Luv........
Complete the square to find the vertex:
(−2,−11)
Step-by-step explanation:
y=x2+4x−7
=x2+4x+4−11
=(x+2)2−11
Mark me brainest please.
Hope this helps!
Anna ♥
Answer:
28
Step-by-step explanation:
Let x be the number of capsules on the Singapore Flyer.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28
Answer:
$45
Step-by-step explanation:
1.54(x) = 69.3
Divide both sides by 1.54
x = 45
Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

Thus, the measure of CF is approximately 13, alternative D.