According to the Pythagorean theorem:
a² + b² = c²
a = 4
b = 1
c = ?
4² + 1² = c²
c² = 16 + 1
c² = 17
c = √17
Answer:the height of the flagpole is 27.12 ft
Step-by-step explanation:
The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.
To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
31² = x² + 15²
x² = 961 - 225 = 736
x = √736. = 27.12 ft
Answer:
he will need 1 because it is 9x10 and 4x4x4 so 4x4x4 is 64 and 9x10 is 90 so divide 90 and 64 and the answer is 1
Step-by-step explanation:
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
The area of a trapezoid is half its height multiplied by the sum of the lengths of its two bases.
6,550=1/2b(115+85)
<span>115+85= 200
1/2*200= 100
6,550/100=65.5
h=</span><span>65.5
</span>
The height is 65.5 cm
