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mihalych1998 [28]
3 years ago
5

A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an angle of 20

o with the horizontal. What is the resultant speed and direction of the throw?

Mathematics
2 answers:
taurus [48]3 years ago
6 0

Answer:

22.84 meters per second

17.43° with the horizontal

Step-by-step explanation:

steps on precalculus textbook p. 496

Gwar [14]3 years ago
5 0

Answer:

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:

vₓ = 3 + 20 cos 20° = 21.8

Vertical component:

vᵧ = 0 + 20 sin 20° = 6.84

Magnitude:

v² = vₓ² + vᵧ²

v² = (21.8)² + (6.84)²

v = 22.8 m/s

Direction:

θ = atan(vᵧ / vₓ)

θ = atan(6.84 / 21.8)

θ = 17.4°

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An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent
pentagon [3]

Answer:

Graph G

Step-by-step explanation:

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong

The slope (rate of change) of a line (m) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second

8 0
3 years ago
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faltersainse [42]

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4 0
3 years ago
There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. Wha
Aliun [14]

Answer:

5

Step-by-step explanation:

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

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3 years ago
What name best describes a pencil a line segment or parallel lies or a point or a ray
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The answer would be line segment.
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If a and b are two angles in standard position in Quadrant I, find cos(a-b) for the given function values. sin a=3/5and cos b=12
goldfiish [28.3K]

The identity in question is

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

so that

cos(a - b) = 12/37 cos(a) + 3/5 sin(b)

Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,

cos²(x) + sin²(x) = 1,

that

cos(a) = √(1 - sin²(a)) = 4/5

and

sin(b) = √(1 - cos²(b)) = 35/37

So,

cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185

7 0
3 years ago
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