From the top of a 16 m tall building, the angle of depression to a car on the road is 35°. To the nearest metre, how far is the car from the base of the building?

Answers

Answer 1

Answer:

Answer:

23 meters

Step-by-step explanation:

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Write the expression as a complex number in standard form. 20 + (-23 -8i) +7i Here are the answers that are an option

3 + 7i

-3 - i

-3 - 15i

3 + 15i

Answers

$20 + (-23 -8i) +7i =-3-i$

20+(-23-8i)+7i=20-23-8i+7i=-3-iso B option is correct: -3-i

4b + 3 = 2b + 13 Can someone please help me with this problem

Answers

Answer:

b = 5

Step-by-step explanation:

$4b - 2b = 13 - 3 \n 2b = 10 \n b = 5$

What is the first step in solving the following equation 3x - 5 = 20?

Answers

Add 5 to both sides.

Add 5 in the both sides

In a particular class of 23 students, 11 are men. What fraction of the students in the class are women?

Answers

if 11/23 are men, then the women are (23 - 11)/23 = 12/23

A ball is thrown vertically upwards from a height of 6 feet with an initial velocity of 40 feet per second. How high will the ball go? Note that the acceleration of the ball is given by feet per (second)2. Round your answer to the four decimal places.

Answers

Answer:

The maximum height that the ball reaches is sf = 31 feet from the ground

Step-by-step explanation:

Solution:-

- A ball is thrown vertically upwards from an initial elevation of si = 6 feet from the ground.

- The velocity with which the ball was thrown up, vi = 40 ft/s

- We can determine the maximum height of the ball when it is thrown vertically up by using the 3rd kinematic equation of motion.

vf^2 - vi^2 = 2*g*( sf - si )

Where,

vf : The final velocity of the ball, for maximum height it is = 0

sf : The final height of the ball from the ground

g : Gravitational constant = -32 ft/s^2

0 - 40^2 = -2*32*( sf - 6 )

sf - 6 = 25

sf = 31 feet

- The maximum height that the ball reaches is sf = 31 feet from the ground.

what is the equation of y=x^3 with the transformation: vertical compression by a factor of 1/2, horizontal shift 7 units to the left, reflection across the x-axis?

Answers

Assuming the transformations are in order,
because S(x,y) = (x, 1/2y), reverse what is done to y and simplify,
y = x^3 > y = 1/2*x^3 to compress vertically,
because S(x,y) = (x-7,y), reverse what is done to x,
y = 1/2*(x+7)^3 to shift to the left,
reflection across the x-axis changes positives to negatives,
y = -1/2(x+7)^3 to reflect across the x-axis.

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