Answer:
x=20
Step-by-step explanation:
First, find LJ
Angle L = 60 (180 - 30 - 90)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(L)=adj/hyp
cos(60)=LJ/40√2
LJ = cos(60)*40√2
LJ = 20√2
Now you can use LJ to find x. You also know the value of each angle, 45
x=20√2⋅cos(45)
x=20
Answer:
32 3/4 lb
Step-by-step explanation:
32 lb 12 oz = ? lb
Rewrite 12 oz as (12/16) lb.
Then:
32 lb 12 oz = 32 lb + (3/4) lb, or 32 3/4 lb
Answer:
n = 12 nickels
d = 11 dimes
q = 7 quarters
Step-by-step explanation:
.05n + .1d + .25q = 3.45
n + d + q = 30
n = q + 5
n = 12
d = 11
q = 7
Answer:
Total number of dimes=6
Total number of nickels=12
Step-by-step explanation:
The expression for the total value of money Jayden has is;
Nickels have a value of= $0.05
Dimes have a value of= $0.10
Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)
where;
Total value=$1.20
Value of a nickel=$0.05
number of nickels=y, but y=2 x
Value of a dime=0.10
number of dimes=x
replacing;
1.20=(0.05×2 x)+(0.1×x)
0.1 x+0.1 x=1.2
0.2 x=1.2
x=1.2/0.2
x=6
y=2 x=2×6=12
Total number of dimes=6
Total number of nickels=12
