Answer:
x = 5.85641
Step-by-step explanation:
Step 1: Find missing leg of left triangle
sin30° = x/16
16sin30° = x
x = 8
Step 2: Find missing leg of right triangle
8² + b² = 16²
b² = 192
b = 8√3
Step 3: Find <em>x</em> by taking the difference
8√3 - 8 = 5.85641
Answer:The answer is C
Step-by-step explanation:
Answer:
24 square units
72 square units
96 square units
Step-by-step explanation:
In the figure attached, the complete question is shown.
One face is a rectangle with length = 12 and width = 8. Its area is: 8*12 = 96 square units
Another face is a rectangle with length = 12 and width = 10. Its area is: 10*12 = 120 square units
Another face is a rectangle with length = 12 and width = 6. Its area is: 6*12 = 72 square units
The other two faces are right triangles with base = 6 and height = 8. Their area is: (6*8)/2 = 24 square units
Answer:
a and b
Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2
Answer:
Step-by-step explanation:
Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is
J + M = 230. The second equation is
J + K = 130. The third equation is
M = 3K. Sub that 3K into the first equation and get
J + 3K = 230. Now take th second equation and solve it for J:
J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:
130 - K + 3K = 230 and
2K = 100 so
K = 50
Kevin has $50
