Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
Answer:
The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.
Step-by-step explanation:
Let's say Carol's fish is c inches long, Ann's is a inches long, and Liz's is l inches long. Then:
c = 5 + a
l = 9 + 2a
a = 12
Plug 12 in for a to find c and l:
c = 5 + a = 5 + 12 = 17 inches
l = 9 + 2a = 9 + 2 * 12 = 9 + 24 = 33 inches
Thus:
The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.
If 8=8 it will be 8(7) which means we have to do 8*7 and 8*7 will be 56 so the answer is 56 :) brainliest would be appreciated
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards
It's basically asking you how far away is each dot. The graph goes by six. Good luck
