Answer:
157.47km²
Step-by-step explanation:
Given the following
base of 18.1 kilometres
height of 17.4 kilometres
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 18.1 * 17.4
Area of the triangle = 314.94/2
Area of the triangle = 157.47km²
Hence the area of the triangle is 157.47km²
is the quadratic equation with the solutions -4 and -6
Given that -4 and -6 are solutions of a quadratic equation and asked to find out the quadratic equation
If "a" and "b" are the roots of the quadratic equation then,
sum of roots = a+b
product of roots = ab
There the required quadratic equation is 
Given that a= -4 and b= -6
sum of roots = a+b = -4 +(-6) = -10
product of roots = ab =( -4 )( -6 ) = 24
There the required quadratic equation is 
Hence,
is the quadratic equation with the solutions -4 and -6
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Correct option D)
.
<u>Step-by-step explanation:</u>
Here we have , A prepaid phone card has a balance of $22.40 remaining. Given that it costs $0.035 per minute . We need to find an equation represents the number of minutes, m, you may talk using the card . Let's find out :
Total balance = $22.40
It costs $0.035 for one minute of call . Let's suppose that with balance $22.40 we can talk for m minutes . So equation will be :
⇒ 
⇒ 
⇒ 
Therefore , an equation represents the number of minutes, m, you may talk using the card is
. Correct option D)
.
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest = 
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

Formula to compute compound amount : 

When both have same worth then

taking log on both sides , we get

Hence, Value of r= 1.22
Answer:
9.941*10^-6
Step-by-step explanation:
Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0
Probability of 1 = 50C1(0.25)(0.75)^49
Probability= 50(0.25)*7.55*10^-7
Probability= 9.375*10^-6
Probability of 0
= 50C0(0.25)^0(0.75)^50
= 1(1)(0.566*10^-6)
= 0.566*10^-6
Total probability
= 9.375*10^-6+ 0.566*10^-6
= 9.941*10^-6