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3 years ago

A 54-kg jogger is running at a rate of 3 m/s. What is the kinetic energy of the jogger? A. 18 J B. 81 J C. 162 J D. 243 J

Mathematics

2 answers:

Mrrafil [7]3 years ago

5 0

Answer:

The answer would be be D.243 j

Step-by-step explanation:

Wewaii [24]3 years ago

4 0

$\displaystyle\bf\\\text{\bf kinetic energy}=\frac{mv^2}{2}=\frac{54\times3^2}{2}=27\times9=\boxed{\bf243~J} \\\\\text{\bf Correct answer: D.}$

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Evaluate h(x) = -2x + 9 when x = -2.0. and 5

Len [333]

Answer:

h(-2) = 13

h(5) = -1

Step-by-step explanation:

Given the function

h(x) = -2x + 9

Evaluating at x = -22

substitute x = -2

h(-2) = -2(-2) + 9

h(-2) = 4 + 9

h(-2) = 13

Therefore,

h(-2) = 13

Evaluating at x = 5

Given the function

h(x) = -2x + 9

substitute x = 5

h(5) = -2(5) + 9

h(5) = -10 + 9

h(5) = -1

Therefore,

h(5) = -1

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3 years ago

Find the base of a parallelogram with height 6 5/8 and area 26 1/2 square feet

Oksi-84 [34.3K]

We know Area = (base)(height)
Rearrange the equation and solve for base: 
base = area/ height 
base = (26 1/2)/ (6 5/8) 
base = 4 feet

7 0

3 years ago

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WINSTONCH [101]

Answer:

Step-by-step explanation:

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6 0

3 years ago

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A box contains 2 red crayons, 6 blue

Andreyy89

Answer:

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8 0

3 years ago

14 Type the correct answer in each box. Use numerals instead of words. a Ava, Lucas, and Maria are playing a game where they pas

jeka94

Answer:

Maria–Ava: 15.7 feet
Lucas–Maria: 10.1 feet
angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

cos(40°) = 12/ma

ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

tan(40°) = ml/12

ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

M = 90° -40° = 50°

In summary, ...

Maria–Ava: 15.7 feet
Lucas–Maria: 10.1 feet
angle at Maria: 50°

5 0

2 years ago