Answer:
Step-by-step explanation:
<u>Given ΔABC with:</u>
- a = 1.9 in, b = 7.1 in, c=7.4 in
<u>To find </u>
<u>Solution</u>
Use the law of cosines
- cos B = (a² + c² - b²)/(2ac)
- cos B = (1.9² + 7.4² - 7.1²)/(2*1.9*7.4)
- cos B = 0.283
- m∠B = accos (0.283)
- m∠B = 74° (rounded)
Answer:
The square root of 52 is 7.211 or between 7 and 8
Step-by-step explanation:
i know that 7^2=49 and 8^2 is 64
52 is between 49 and 64
52 is closer to 49 than 64
square root of 52 is closer to 7 than 8
Answer:
prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..
all odd numbers have prime factors but not all prime factors are odd numbers
Answer with Step-by-step explanation:
We are given that
for
We have to prove that for all n equal and greater than 1
proof: Let P(n)= for all n equals to and greater than 1
We prove that for all n there exists Z,if n greater and equals to zero
Base case : The base case is n=1
Substitute n=1 then we get
P(1)=-3(1)+5=2
This is true for n=1
Induction step : suppose that P(n) is true for n=k where k greater than 1
Then P(k)=-3k+5
Now, we shall prove that for n=k+1, P(n) is true for n=k+1
P(k+1)=-3(k+1)+5
P(k+1)=-3k-3+5=-3k+5-3
We are given that for n equal to and greater than 2
Therefore, P(n) is true for n=k+1
Hence, P(n)=-3n+5 for all n equal and greater than 1
Answer:
<em>173 children tickets were sold and 201 adult tickets were sold</em>
Step-by-step explanation:
Let the number of child ticket sold be x
Let the number of adult ticket sold be y
If the total number of ticket sold is 374, hence;
x +y = 374 .... 1
Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;
3x + 5y = 1524..... 2
Solve both equations simultaneously
From 1; x = 374 - y ...3
Substitute equation 3 into 2
3(374-y)+5y = 1524
1122-3y+5y = 1524
1122+2y = 1524
2y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Since x = 374-7
x = 374 - 201
x = 173
<em>Hence 173 children tickets were sold and 201 adult tickets were sold</em>
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