Answer:
The correct options are A ,C and F.
Step-by-step explanation:
The given expression is
Calculate the simplified form of given options.
A.
B.
C.
D.
E.
F.
Therefore correct options are A ,C and F.
Answer:
1 mile : 2 cm
Step-by-step explanation:
the ratio is 4.5 miles : 9 cm.
this can be simplified to 1:2.
Answer:
Given - PS is parallel to QR
angle QPS is congruent to angle SRQ
To prove - PQ is congruent to RS
Solution -
In triangle PSQ and SQR
Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)
Angle P = Angle R (given)
SQ = SQ ( common)
PSQ = SQR ( prove above)
By ASA Congruence criteria Triangle PQS is congruent to triangle QRS
By CPCT PS is congruent to RS
Hence, Proved
Answer:
Step-by-step explanation:
we know that
The given figure is a triangular pyramid
The volume of the triangular pyramid is equal to
where
B is the area of the triangular base
h is the height of the pyramid
Find the area of the base
The base is an equilateral triangle
Applying the law of sines to determine the area
Remember that
substitute
Find the volume
we have
substitute
Let n= number of nickels and d= number of dimes.
0.05n+0.10d=1.00
d=2n