Answer:
Step-by-step explanation:
this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.
HI = HJ because this is an isosceles triangle.
Use the cos function to find the length of HJ:
cos Ф = adj / hyp or adj = (hyp)(cos Ф).
1
Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----
√2, or 4√5 / √2
4√10
This last result simplifies to ----------
2
or 2√10 (answer)
The length of side HJ and that of HI is 2/√10.
Answer:

Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
--------
hope it helps..
have a great day!!
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
1st graph is Y=1x+0
2nd Graph is Y=-2/1x + 0
Step-by-step explanation:
Your slope is 1 for the 1st graph
Your slope is -2/1 for the second graph
Answer:
x =27
Step-by-step explanation:
3x - 4y=65
lets substitute the value of y in the equation:
3x -4(4) =65
3x = 65 +16
3x= 81
x= 81/3
x = 27