Answer:
While determining the angle 
with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other.
Step-by-step explanation:
See the diagram attached.
Let us assume a right triangle Δ ABC with ∠ B = 90°. Now, assume that the angle ∠ CAB = and the sides AB, BC, CA are 3, 4, 5 units respectively.
The tangent ratio of an angle is given by
Again, the cotangent ratio of angle is given by
Therefore, in both the cases of tangent ratio and cotangent ratio are inverse of each other and while determining the angle with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other. (Answer)
Time spent babysitting by Lucy = Tl = 4 hours
Time spent babysitting by Maria = Tm = x * 4 hours
Now we need to determine for what values of x is Tm > Tl
⇒ x * 4 > 4
⇒ x > 1
So for x > 1, Mary spends more time babysitting than Lucy does
Answer:
m<V = 11.2 degrees
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.
From the triangle;
UV = hypotenuse = 6.2feet
WU = opposite = 1.2feet
Required
m<V
Using the SOH CAH TOA identity
sin m<V = opp/hyp
sin m<V = WU/UV
sin m<V = 1.2/6.2
sin m<V = 0.1936
m<V = arcsin(0.1936)
m<V = 11.16
m<V = 11.2 degrees ((to the nearest tenth of a degree)
Answer:
B. Multiply by 5 on both sides of the equation. C. 7 × 5 = 35. E. Dolev had 35 pretzels.
Step-by-step explanation:
B. get p by itself
C. if each received 7 and there was 5 people, 5 times 7 would be the total of pretzels
E. 5 times 7 equals 35.
