Correct Answer: C. insufficient storage facilities

Correct Answer: D. france

Correct Answer: D. Jesus might effect more cure in their vicinity

Correct Answer: A. 1.50ms-1

Explanation

Here's a step-by-step solution:

1. Understand the Setup:

* Let the stream flow along the x-axis. So, the stream's velocity (v_s) is horizontal. v_s = 0.75 m/s.

* The boat heads perpendicular to the stream. This means the boat's velocity relative to the water (v_b) is vertical, along the y-axis.

* The boat's actual path is the resultant of its velocity relative to the water and the stream's velocity. Let this resultant velocity be v_r.

2. Visualize the Velocities:

* v_s (stream velocity) is a vector along the x-axis.

* v_b (boat's velocity relative to water) is a vector along the y-axis.

* v_r (resultant velocity) is the vector sum of v_s and v_b. These three vectors form a right-angled triangle, where v_r is the hypotenuse.

3. Interpret the Angle:

* landed at the opposite bank at an angle of 30° usually refers to the angle between the resultant velocity (actual path) and the direction the boat was heading (perpendicular to the stream).

* So, the angle (θ = 30°) is between the resultant velocity vector (v_r) and the boat's velocity relative to the water vector (v_b).

4. Apply Trigonometry:

* In the right-angled triangle:

* The side opposite the 30° angle is the stream velocity, v_s.

* The side adjacent to the 30° angle is the boat's velocity relative to the water, v_b.

* The hypotenuse is the resultant velocity, v_r.

* Using the sine function:

`sin(θ) = opposite / hypotenuse = v_s / v_r`

5. Calculate the Resultant Velocity (v_r):

`sin(30°) = 0.75 m/s / v_r`

`0.5 = 0.75 m/s / v_r`

`v_r = 0.75 m/s / 0.5`

`v_r = 1.50 m/s`

6. Calculate the Velocity of the Boat relative to water (v_b):

The question asks for the velocity of the boat. This typically means its velocity relative to the water (v_b).

Using the cosine function:

`cos(θ) = adjacent / hypotenuse = v_b / v_r`

`v_b = v_r * cos(θ)`

`v_b = 1.50 m/s * cos(30°)`

`v_b = 1.50 m/s * (√3 / 2)`

`v_b = 1.50 m/s * 0.8660`

`v_b = 1.299 m/s`

7. Compare with Options:

The calculated velocity of the boat (v_b) is 1.299 m/s. This value is not exactly among the options.

However, the calculated *resultant velocity* (v_r) is 1.50 m/s, which matches option A exactly.

In multiple-choice questions, sometimes velocity of the boat might refer to the resultant velocity, or one of the calculated intermediate values might be the intended answer. Given that 1.50 m/s is an exact match for the resultant velocity derived from a standard interpretation of the angle, it is highly probable that A is the intended answer, and the question is implicitly asking for the resultant velocity.

The final answer is 1.50ms-1

Correct Answer: B) 6.3 ×10^-11

Correct Answer: D. 100 kg

Correct Answer: A. oxytocin

Correct Answer: C. auxiliary

Correct Answer: D. genetics

Correct Answer: A. that God adequately equips His Messengers.