−3/7×14/15×7/12×(−30/35)
=(−3/7×14/15)×(7/12×−30/35)
On further calculation, we get
=−2/5×−1/2
We get,
=1/5.
Property 1:
If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.
Math Properties
Commutative Property.
Associative Property.
Distributive Property.
Identity Property.
Inverse Property.
Learn more about appropriate properties at
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Answer:
14.90cm [a]
Step-by-step explanation:
To find x, we will apply " sine rule"
that is,
A/a=
B/b
here a= x A=90° B=70°anb b =14cm
so we input the values we have
1/x =0.94/14
cross multiply,
0.94x = 14
x = 14/0.94
=14.90cm
Answer:
B,C,D
Step-by-step explanation:
Find the following limit:
lim_(x->0) (x^2 - 1)
lim_(x->0) (x^2 - 1) = 0^2 - 1 = -1:
Answer: -1
Answer:
Therefore the Distance across the Pond is

Step-by-step explanation:
Given:
Triangle are Similar
AB = 90 ft
AC = 170 ft
BD = 207 ft
DE = x
To Find:
x = ?
Solution:
In Δ ABC and Δ DBE
∠A ≅ ∠D …………..{ measure of each angle is 90° given }
∠ABC ≅ ∠DBE ……….....{Vertical Angle Theorem}
Δ ABC ~ Δ DBE ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
Substituting the values we get

Therefore the Distance across the Pond is
