Answer:
=12 units
Step-by-step explanation:
When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.
Therefore, the Pythagoras theorem is used to find the hypotenuse.
a² + b² = c²
(6√2)²+(6√2)²=c²
72+72=c²
c²=144
c=√144
=12
The diagonals of the square measure 12 units each.
Answer:
Measure of angle 3: C (46 degrees)
Step-by-step explanation:
As there is no attachment, I will assume the question is in reference to a triangle. Knowing that a triangle contains 3 angles the answer can be retrieved through simple steps:
m∠1 + m∠2 + m∠3 = 180 degrees, by Sum of Angles in Triangle Theorem, <em>thus;</em>
Through substitution + algebra:
134 + m∠3 = 180,
m∠3 = 46 degrees
To calculate the velocity, we use the given expression above which is <span>s(t) = −16t^2 + 144. First, we calculate the time it takes to reach the ground. Then, differentiate the expression and substitute time to the differentiated expression.
</span>s(t) = −16t^2 + 144
0 = -16t^2 + 144
t = 3
s'(t) = v = -32t
v = -32(3)
v = -96
Note: negative sign signifies that the object is going down
"measures to the nearest tenth of a pound" tell us to round each of the weights listed to the nearest tenth (since the unit is already pounds, no conversion is needed). What this means is if the second number to the right of the decimal is 5 or greater, then we add 1 to the first number to the right of the decimal (and replace the second number with a zero). With all this said, it's much easier to show you, rather than to try to explain it. :D
4.35 is rounded up to 4.4 because the second number to the right of the decimal is 5.
Packet A = 4.4
Packet B = 4.4
Packet C = 4.5
Packed D = 4.4
The question is asking what the heaviest reading will be, so from the whole list above we pick the highest number which is 4.5 pounds. Notice how the answer is not Packet C, or 4.48 pounds, but 4.5 pounds. It is asking for the reading, not the packet, nor the weight. Hope this helps.
The formula for volume of a sphere is V = 4
/3 x π x r3 (cubed).
The original radius of the balloon is 10 ft, so when we plug that value into the equation we get 4188.79. When the balloon deflated, the new radius was 5 ft, so the new volume is 523.6. The question asks how much volume was lost, so we need to subtract 4188.79 - 523.6 and get approximately 3665.
Hope this helps! I hate taking usa test prep quizzes too haha.
