The screen of a surveying device is 0.0026 m wide and is 0.1 m away from the lens. If the surveyor wants the image of the \( 2-\mathrm{m} \) target to fit on the screen, what distance d should the lens be from the target? Explain. The triangles on either side of the lens are similar because the angles are complementary angles, and both triangles are isosceles, so that the corresponding sides adjacent to these angles must have lengths in the same ratio. Consider the right triangles that have the black, dashed lines as hypotenuses. A proportion for the side lengths is (Round to the nearest integer as needed.)

Nicole buys a set of bunk beds online for \( \$ 449 \). If shipping and handling are an additional \( 16 \% \) of the price, how much shipping and handling will Nicole pay?

Two students are sitting 1.50 m apart. One student has a mass of 70.0 kg and the other has a mass of 52.0 kg . What is the gravitational force between them? \( 2.54 \times 10-7 \)

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of \( 6,179 \mathrm{lb} \). The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than \( \frac{6,179 \mathrm{lb}}{37}=167 \mathrm{lb} \). What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 174.7 lb and a standard deviation of 37.6 . The probability is approximately (Round to four decimal places as needed.)

Oolve the given trigonometric equation. Write our answers to the nearest whole numbers in legrees. Do not write the units. he FSS of \( 3 \cot ^{2} \theta-5 \cot \theta+2=0 \) includes 3lank 1 degrees, Blank 2 degrees, Blank 3 legrees, and Blank 4 degrees.

Solve using elimination \( -3 x-8 y=-8 \) \( 4 x+8 y=16 \) \( \square \)