Answer:
-4
Step-by-step explanation:
- 6 ×
= -4
I hope this helps!
Answer:Values for the coefficient in the product k:
, so the first four boxes should be filled with the number "3"
Drop down arrow: "does"
Step-by-step explanation:
We perform all the products of wavelength time frequency indicated for the column of the quantity "k":
=
=



Therefore, all products of these different wavelengths and their associated frequencies render the exact same answer :
, which means that as one of these quantities increase, the other one will decrease in the same proportion to give the same numerical answer.
This means that the two quantities are associated via inverse proportionality. As seen in the equation below, if the quantities "x" and "y" are related by inverse proportionality (shown as one equals a constant "A" divided by the other variable), their product x*y will give that constant value "A" (which in our case is
.

Answer:
b. 5/√21
Step-by-step explanation:
The sine is positive in quadrant II, so the cosecant will be also. The sine function never has a magnitude greater than 1, so the cosecant function (the reciprocal of the sine) never has a magnitude less than 1.
The only positive number with a magnitude greater than 1 among your answer choices is 5/√21, selection B.
_____
If you draw the triangle with hypotenuse 5 and side 2 along the x-axis, you find the Pythagorean theorem tells you the opposite side (parallel to the y-axis) has length ...
... O = √(5² -2²) = √21
Then the sine ratio is ...
... Sin = Opposite/Hypotenuse = (√21)/5
The cosecant function is the reciprocal of the sine function, so its value is ...
... csc(θ) = 1/sin(θ) = 1/((√21)/5)
... csc(θ) = 5/√21
Answer: 51.5 cubic feet.
Step-by-step explanation:
Since, The height of the building will be 309 feet, and a size of the base measures 250 feet.
And, we know that the volume of the square pyramid = 
Here, size of the base of the square pyramid = 250 feet.
And, height = 309 feet.
Therefore, the volume of the given square pyramid,

⇒ 
⇒
= 6437500 cubic feet.
Again according to the question,
The scale model that is displayed at a convention is one fiftieth the size of the actual building.
Therefore, Volume of the scale model = the volume of the given square pyramid/125000
= 6437500/125000= 51.5 cubic feet.
Thus, the volume of the scale model is 51.5 cubic feet.