Answer:
Bottom one
<u>-8</u><u><</u><u>-4</u>
Step-by-step explanation:
You might want to put less points
Answer:
The worth of one bill is $20 and the worth of the other bill is $1
Step-by-step explanation:
Let
x----> the worth of one bill
y ---> the worth of the other bill
I assume x > y
we know that
x+y=21 ----> equation A
x=y+19 ---> equation B
Solve the system by elimination
Multiply equation B by -1 both sides
-x=-y-19 ----> equation C
Adds equation A and equation C
x+y=21
-x=-y-19
------------
y=21-y-19
2y=2
y=1
Find the value of x
x=y+19 -----> x=1+19=20
therefore
The worth of one bill is $20 and the worth of the other bill is $1
Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
3/x = 4/3
4x = 9
x = 9/4
5/y = 4/3
4y = 15
y = 15/4 (B)
