Answer:
12/13
Step-by-step explanation:
The cosine of an angle in a triangle can be calculated as a relation between the adjacent side and the hypothenuse. So, in this case the adjacent side of θ is 24 and the hypothenuse is 26.
Then:
cos(θ) = 24/26 = 12/13
Answer:
13 and 44
Step-by-step explanation:
let x and y be the 2 numbers with y < x , then
x - y = 31 ( add y to both sides )
x = y + 31 ( subtract 31 from both sides )
x - 31 = y → (1)
4y = x + 8 → (2)
substitute y = x - 31 into (2)
4(x - 31) = x + 8
4x - 124 = x + 8 ( subtract x from both sides )
3x - 124 = 8 ( add 124 to both sides )
3x = 132 ( divide both sides by 3 )
x = 44
substitute x = 44 into (1)
44 - 31 = y , then
y = 13
the 2 numbers are 13 and 44
Answer:
6.32 cm.
Step-by-step explanation:
We can see that the given glass is in form of a cone.
To find the height of liquid in glass we will use formula:
, where,
h= Height of cone.
l= Slant height of cone.
r= Radius of cone.
We can see from our figure that diameter of cone is 6 cm, so radius of cone will be half of 6 cm, that is 3 cm.
We have been given slant height equals to 7 cm.
Let us substitute our values in above formula to find the height of liquid in the glass.
Therefore, the height of liquid in the glass is 6.32 cm.
Answer:15.5 km
Step-by-step explanation: