Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3
Cause it’s -$75 he would have to put $75 to achieve a balance of $0
Answer:
A. 
B. Yes, Pablo can buy 2 pair of pants and 4 shirts.
Step-by-step explanation:
A. Let x be the number of pairs of pants and y be the number of shirts.
We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:
We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.
As Pablo wants to spend $100 on clothing, so we can represent this information as:
Therefore, the system of equation representing the given situation will be:
B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.
We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.
Answer:
r>=-3
Step-by-step explanation:
Let c and n represent the numbers of pencil and pen boxes, respectively
.. 3c +2n = 6.00
.. 2c +4n = 8.00
You can halve the second equation and subtract it from the first to get
.. (3c +2n) -(c +2n) = 6.00 -4.00
.. 2c = 2.00
.. c = 1.00
Then
.. 1.00 +2n = 4.00 . . . . . half the original second equation with c filled n
.. 2n = 3.00
.. n = 1.50
A box of pencils costs $1.00; a box of pens costs $1.50.
