Answer:
i think the second option
Step-by-step explanation:
follow me on my insta a.cc.o.u.n.t below
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Not a 5 dollar just means a 10 dollar
probblity=desired outcomes/total possible outcomes
desired=number of 10 dollar notes or 30
total possible=10+30 or 40
the probablity is 30/40 or 3/4 or 75% that you do not select a 5 dollar note
Answer:
None of the expression are equivalent to
Step-by-step explanation:
Given
Required
Find its equivalents
We start by expanding the given expression
Expand 49
Using laws of indices:
This implies that; each of the following options A,B and C must be equivalent to or alternatively,
A.
Using law of indices which states;
Applying this law to the numerator; we have
Expand expression in bracket
Also; Using law of indices which states;
becomes
This is not equivalent to
B.
Expand numerator
Using law of indices which states;
Applying this law to the numerator; we have
Also; Using law of indices which states;
=
This is also not equivalent to
C.
Using law of indices which states;
This is also not equivalent to
Answer:
388.5yd²
Step-by-step explanation:
We have Triangle TUV
In the question, we are given already
Angle U = 32°
Angle T = 38°
Angle V = ???
Side t = 31yd
Side u = ?
Side v = ?
Area of the triangle= ?
Step 1
We find the third angle = Angle V
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (32 + 38)°
= 180° - 70°
Angle V = 110°
Step 2
Find the sides u and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle TUV
t/ sin T = u/ sin U = v/ sin V
We have the following values
Angle T = 38°
Angle U = 32°
Angle V = 110°
We are given side t = 31y
Finding side u
u/ sin U= t/ sin T
u/sin 32 = 31/sin 38
Cross Multiply
sin 32 × 31 = u × sin 38
u = sin 32 × 31/sin 38
u = 26.68268yd
u = 26.68yd
Finding side x
v / sin V= t/ sin T
v/ sin 110 = 31/sin 38
Cross Multiply
sin 110 × 31 = v × sin 38
v = sin 110 × 31/sin 38
v = 47.31573yd
v = 47.32yd
To find the area of triangle TUV
We use heron formula
= √s(s - t) (s - u) (s - v)
Where S = t + u + v/ 2
s = (31 + 26.68 + 47.32)/2
s = 52.5
Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)
Area of the triangle = √150967.6032
Area of the triangle = 388.5454973359yd²
Approximately to the nearest tenth =388.5yd²