The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ = 
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ = 
∴ PQ = 19.66
The length of PQ is 19.66 units
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Answer:
4
Step-by-step explanation:
Calculate Greatest Common Factor for :
16, 24 and 36
Factorize of the above numbers :
16 = 
24 = 
• 3
36 = 
• 
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime Factor Number 16 Number 24 Number 36 G.C.F
(min)
2 4 3 2 2
3 0 1 2 0
GCF = 2²
Greatest Common Factor is :
4
Hope this helps :)
Answer:
<em><u>5 is called coefficient</u></em>
<em><u> m is called variable </u></em>
<em><u>3 is called degree....</u></em>
Answer:
8.284 × 10^4 m^2
Step-by-step explanation:
The area is the product of length and width:
(5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2
Answer:
Step-by-step explanation:
4x + 1
The quotient (f/g)(x) is (f/g)(x) = ---------------
x^2 - 5
Note that x^2 means "square of x," whereas "x2" is ambiguous.
