For items 11 - 12. Point X represents the position of the car on the ground and point Y represents the position on top of the hill. The straight road to the top of a hill is 2500 feet long and makes an angle of 12^o with the horizontal. Find the height of the hill.

Q: what is a tangent ratio

A: In a right angle triangle Sine= sin(theta) = opposite/hypotenuse  Cosine = cos(theta) =…

Q: If Ĉ + 5j . It B 3 subtracted from Ć the result is Gi-j. find is added to B, the result îs -gi -> a)…

A: C→ + B→ = -9i^ + 5j^    ....(I)C→ - B→ = 4i^ -j^          ....(II)

Q: Find the roots of the equation f(x) = x² − x³ − 7x² + 13x − 6 = 0.

A: Given that, the equation is fx=x4-x3-7x2+13x-6=0   We have to find the roots of the equation

Q: Given: A, = -3 units Ау -2 units 8. Determine the expression of A in a unit vector notation. 9.…

A:

Q: Estimate the order of magnitude of the length, in meters, of each of the following.

A: to estimate : The order of magnitude of length in meters for a pool cue

Q: 5) For A = , B = , and C = find the following graphically and algebraically (i's and j's) a) A+ 2B…

A:

Q: 3. Perform the indicated operations: (All answers should be expressed in scientific notation. Apply…

A: (a) solution- (4.0× 10-⁶ )×(3.0×10⁴) = 4.0× 3.0 × 10-² =12.00× 10-² 12.00× 10-² have 4 significant…

Q: O The speed in km/min equal to 78.0 mi/h O The area in ft? of a rectangle with sides 18.6 m and 3.82…

A:

Q: 3) Find B and 0 for B with components Bg = 75.5 m and By = 6.20 m. Draw a diagram and label your…

A: Given data *The horizontal component of the magnetic field is Bx = 75.5 m *The vertical component of…

Q: 1. The radius of a simple curve is twice its tangent distance, if the degree of curve is 4°. a) What…

A: Calculation: b) Length of the curve is calculated as follows S=r×θ  =2x×4π180 [where x is tangent…

Q: How many inches are there in 1 yard? a) 12 b) 36 c) 6 d) 18

A: To find: How many inches are there in 1 yard

Q: 1. The components of a vector A are (-5,6). (a) In which quadrant does this vector lie? First…

A:

Q: A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30° E of N, and…

A: Given: The first path is equal to: 8 km south.   The second path is equal to: 15 km 30° East of…

Q: 1) Write out the number 4.06 x 10 in full with a decimal point and correct number of zeros. A)…

A: The given number is 4.06×10-5   This can be written as    4.06×10-5 = 4.06105…

Q: 5) The B has a component B, = - 2.10 meter and B, = -1.70 meter Find angle 6. Draw the diagram and…

A: Given Bx= -2.1 m By= -1.7 m

Q: 3. How can you tell whether or not the points on the graph represent a linear relationship? Would…

A:

Q: A lecture period (50 min) is close to 1 microcentury. (a) How long is a microcentury in minutes?…

A: (a) Let t denotes the microcentury. Therefore, the microcentury can be determined as,     Thus,…

Q: For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude maybe obtained by product also…

A:

Q: D1.4. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), and C(-3, 1, 5).…

A:

Q: We want to support a thin hoop by a horizontal nail and havethe hoop make one complete small- angle…

A: Given: The given values are, The given time value is, T=2.0 s To find the radius (R) of the hoop's.

Q: ave Answer A man walks 41 4482 m directed 1733167 degrees from the positive x-axis, then he walks…

A: Given:

Q: A parallel-plate capacitor is charged to 5000 V. A proton is fired into the center of the capacitor…

A: It is given that,The capacitor voltage is V= 5000 volts.The initial speed of the proton is The mass…

Q: Write out the following numbers in full with the correct numbers of zeros. A. 718x10^4 B.…

A: A set of data written in scientific notation.Find:Write each number in full with correct number of…

Q: What is the percent error in each of the following approximation of n? (a) 22/7 (b) 355/113

A:

Q: Solve following using Significant figure rules: 497.2505 + 85.500 + 9.75 – 4.4

A:

Q: 17. 1.2 x103÷ 2.5 x 109 = ? A. 4.8 x10-13 B. 4.8 x105 C. 3.0 x 10-13 D. 3.0 x105

A:

Q: 2. (a) Add 3.53103km and 4.53105m, express your answer in m with correct number of significant fig-…

A: 1st value 3.53103× 103 = 3531.03m 2nd value 4.53105m

Q: Determine the numerical value of each of the following exponent and/or logarithmic statements: a.…

A:

Q: The area of a rectangle with side of length r and width s is given by A = rs. Find the rate of…

A:

Q: ) Express the speed of light, 3.00 x 108 m/s in: a) Feet per nanosecond        b) millimeters…

A: speed of light= 3×108 m/s 1 m= 3.28 ft (a) speed in Feet per nanosecond : 3×108ms=3×108 3.28 ft109…

Q: given an acute angle provided by the angle of depression, if the opposite and the adjacent sides of…

A: Let the angle of depression be =a so tan(a)= opposite side /adjacent side.

Q: 17) The following exact conversion equivalents are given: 1 m = 100 cm , 1 in = 2.54 cm, and 1 ft 12…

A: Given,  1m = 100 cm 1in = 2.54 cm 1ft = 12 in So,  1ft = 12× 2.54 cm = 30.48 cm  Since 1 cm = 1/100…

Q: 7) A) Using only the picture shown below, estimate the height (in meters) of the tower by first…

A: Given the image of the leaning tower of Pisa and the people around it, we can somehow estimate the…

Q: If a fly bumps into the windshield of a fast-moving truck, (a) Which encounters the greater force:…

A: Newton's third law states that  For every action their is equal and opposite reaction

Q: Supply all missing information with the correct numerical values. Do not include the units. Round…

A: Given data: Initial speed of the ball, v0=123 m/s Angle from the horizontal, θ=600

Q: How many square kilometers

A:

Q: Convert 2.87 m/s to mile/hour, the answer is (1 m 39.37 in and 1 mile = 5280 ft)? (q239) a) 00.11 b)…

A:

Q: Suppose Aelax + Beibx = Ceicx, for some nonzero constants A, B, C, a, b, c and for all x. Prove that…

A:

Q: 2) The perimeter of a rectangle is 306 inches. The length is 3 inches longer than four times the…

A: Length "l " = 4w+ 3 Perimeter "P " 306 inches

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.