Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
<u>i) What is the measure of Angle BOA </u>
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
<u>ii) what is the length of arc BAC</u>
= radius * angle BAC * 
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 *
≈ 14.7 cm
Answer: Gus skydived 32 times
Step-by-step explanation:
G = number of times that Gus skydives
N = number of times that Nico skydives
E= number of times that Emma skydives
Gus skydives 4 times as much as Nick
This means G = 4N
Emma skydives 2 times as much as Nick.
This means E= 2N
If Emma has skydived 16 times,
That means E = 16
Put E = 16 in E= 2N,
16 =2N
N= 16/2 = 8
Put N= 8 in G = 4N
G =4×8 = 32
Gus skydived 32 times
Check
Nick skydived 8 times
Emma skydived 16 times
Step-by-step explanation:
To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent. Depending on which side is given to you, choose the one that conforming to it. For example:
Figure 1:
Side HJ is congruent with side ML, Angle J is congruent with angle M, Side IJ is congruent with side KM (SAS)
~
To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:
cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85
Answer:
6f = 24
f = 4
Step-by-step explanation:
