The image is missing so i have attached it.
Answer:
Volume = 1.5 litres
Step-by-step explanation:
Using pythagoras theorem, we can get the height (h) of the cylinder
14² + h² = 17²
h² = 289 - 196
h = √93
Now, volume of a cylinder is;
V = πr²h
In the image, r = diameter/2 = 14/2 = 7cm
Thus,
V = π × 7² × √93
V = 1485 cm³
Now, 1 litre = 1000 cm³
Thus, volume = 1485/1000 = 1.485 litres ≈ 1.5 litres
Answer:
E. 300
Step-by-step explanation:
A rectangle split in half diagonally yields 2 right triangles.
((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:
(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)
))
By definition, the hypotenuse (diagonal) is the longest side.
This means that it must be longer than 120m.
If you add the 2 sides (50m + 120m), you get 170m.
Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).
300m is the only answer that fits.
Answer:
3/16
Step-by-step explanation:
Let the size of the whole apple be T
Given that 3/4 of the apple is left, it means the size left
= 3T/4
Since Victor plans to eat 1/4 of the pie that was left, this amounts to
1/4 * 3T/4
= 3T/16
This means that Victor will eat 3/16 of the whole pie tomorrow
Answer:
w < 8
Step-by-step explanation:
This means w can be any number below 8.
Example;
w = 7
w = 6
w = 5
and so on...
<em>(</em><em>Changed</em><em> </em><em>original</em><em> </em><em>answer</em><em>.</em><em> </em><em>Thought</em><em> </em><em>it</em><em> </em><em>had</em><em> </em><em>said</em><em> </em><em>-11</em><em> </em><em><</em><em> </em><em>w</em><em> </em><em>-</em><em> </em><em>1</em><em>9</em><em>)</em>
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
7 + 11x + 60 = -13 + 3x
Step 2: Solve for <em>x</em>
- Combine like terms: 11x + 67 = -13 + 3x
- Subtract 3x on both sides: 8x + 67 = -13
- Subtract 67 on both sides: 8x = -80
- Divide both sides by 8: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
7 + 11(-10) + 60 = -13 + 3(-10)
67 - 110 = -13 - 30
-43 = -43
