Answer:
5.5
Step-by-step explanation:
√30, which will round to 5.5, because √30*√30=30.
*see attachment for the complete diagram and what is required.
Answer:
✅ST = 7 m
✅SU = 8 m
✅m<R = 46°
✅m<Q = 75°
✅m<S = 59°
Step-by-step explanation:
Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.
Thus:
<P ≅ <S, therefore, m<P = m<S = 59°
<Q ≅ <T, therefore, m<Q = m<T = 75°
<R ≅ <U, therefore, m<R = m<U.
PQ ≅ ST, therefore, PQ = ST
QR ≅ TU, therefore, QR = TU
PR ≅ SU, therefore, PR = SU
Let's find the measure of the following with the information we already know:
✅ST = PQ = 7 m
✅SU = PR = 8 m
✅m<R = 180 - (m<P + m<Q) (sum of ∆)
m<R = 180 - (59°+ 75°) (substitution)
m<R = 180 - 134
m<R = 46°
✅m<Q = m<T = 75°
✅m<S = m<P = 59°
Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
1. Non-zero digits are significant
2. Zeroes between two significant numbers are significant
3. Trailing zeroes are significant
0.0102 has 3 <span>significant figures
1 and 2 are non-zero digits (Rule 1)
0 between 1 and 2 is zero between </span>two significant numbers (Rule 2)
Answer:
Depends.
If you defined
and
based on the unit circle, as in the coordinates of the point at a distance of
from the point
measured counterclockwise along the circle, then. it's proven by the fact that since that points sit on a circle of center the origin and radius 1, it's coordinates needs to satisfy the equation
.
If you define them based on right triangles, as in the ratios between adjacent (cosine) or oppsite (sine) sides and the hypotenuse, then it's simply applying the Pythagorean theorem. In particular let a be the hypotenuse of a right triangle of which one of the angles measures
, let b the adjacent side to said angle, and c the opposite side.
By definition,
. clearing denominators we get
, and applying the Pythagorean theorem:
And, taking the first and last step in this chain, dividing everything by
which is obviously non-zero we're left with
, QED.