Answer:
β = arccos((a^2 + c^2 - b^2)/(2·a·c))
β = arccos((3^2 + 7^2 - 5^2)/(2·3·7)) = 38.21°
Answer:
y is skipping by 12 each time
Step-by-step explanation:
41+12=53
53+12= 65
65+12=77
hope this helps
Answer:
3x +y = 13
Or, x=13-y/3......eqn(i)
Now putting the value of x
2x - y = - 1
Or, 2(13-y/3) - y = - 1
Or, 26 - 2y /3 - y = -1
Or, 26 - 2y - 3y = - 3
Or, 26 - 5y = - 3
Or, - 5y = - 3 - 26
Or,y = - 39/ (- 5)
Or, y = 7.8~
So, you have to have your equation in terms of dimes. What you said about what he has: four more nickels than dimes in his pocket. Will help with our equation.
We know what a nickel and dime is worth. A nickel is .05 and a dime is .1
We don't know how many dimes are in his pocket, since we're trying to solve it.
.1x+(4+x).05=1.25;
In the parenthesis, it shows how there are four more nickels. Let's solve it now.
.1x + (4+x).05=1.25
.1x + .2+ .05x = 1.25; Let's add like terms.
.15x + .2 = 1.25; Subtract .2 from both sides.
.15x= 1.05
1.05÷.15= 7 =x
There are 7 dimes in his pocket, let's check our answer.
We now know there are 11 nickels, since there are four more nickels than dimes.
11(.05) +.1(7) = 1.25
.55+ .7 = 1.25
Now that we've tried it, we know there are 7 dimes in his pocket.
Tell me if this helps!
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