Answer:
2.765 Miles is how much he ran
<u>Answer:</u>
a) 3.675 m
b) 3.67m
<u>Explanation:</u>
We are given acceleration due to gravity on earth =
And on planet given =
A) <u>Since the maximum</u><u> jump height</u><u> is given by the formula </u>

Where H = max jump height,
v0 = velocity of jump,
Ø = angle of jump and
g = acceleration due to gravity
Considering velocity and angle in both cases

Where H1 = jump height on given planet,
H2 = jump height on earth = 0.75m (given)
g1 = 2.0
and
g2 = 9.8
Substituting these values we get H1 = 3.675m which is the required answer
B)<u> Formula to </u><u>find height</u><u> of ball thrown is given by </u>

which is due to projectile motion of ball
Now h = max height,
v0 = initial velocity = 0,
t = time of motion,
a = acceleration = g = acceleration due to gravity
Considering t = same on both places we can write

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations
substituting h2 = 18m, g1 = 2.0
and g2 = 9.8
We get h1 = 3.67m which is the required height
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
__
(b) Similarly, if 40% of h is added to h, you have ...
1.4h
__
(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
__
(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
Answer:
-11, -5, -23, 7
Step-by-step explanation:
plug in the h value into equation
-2(2)-7
-11
-2(-1)-7
-5
-2(8)-7
-23
-2(-7)-7
7