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krok68 [10]
2 years ago
14

A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds

Mathematics
2 answers:
Bogdan [553]2 years ago
7 0

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

Mekhanik [1.2K]2 years ago
3 0

Answer:

75 feet

Step-by-step explanation:

10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.

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The railing of a wheelchair ramp is parallel to the ramp. Find x and y in the diagram.
yKpoI14uk [10]

Given:

The wheel chair ramp is parallel to the ramp.

To find:

The value of x and y.

Solution:

If two lines are parallel, then the alternate interior angles are congruent.

4x° + 6y° = 86° --------- (1)

Similarly,

5x° + 6y° = 94°

Subtract 5x° from both sides.

5x° + 6y° - 5x° = 94° - 5x°

6y° = 94° - 5x° --------- (2)

Substitute (2) in (1).

4x° + 94° - 5x° = 86°

94° - x° = 86°

Subract 94° on both sides.

94° - x° - 94° = 86° - 94°

- x° = 86° - 94°

- x° = -8°

Multiply by -1 on both sides, we get

x = 8

Substitute x = 8 in (2).

6y° = 94° - 5(8)°

6y° = 54°

Divide by 6 on both sides, we get

y = 6

The value of x is 8 and y is 6.

5 0
3 years ago
The Problem of the Points. Two players engage in a game. They are equally matched, and the chances of winning a point are the sa
Dominik [7]

Answer:

Player A receives $77.34375 of the sakes

Player B receives $22.65625 of the stakes

Step-by-step explanation:

Given that at the time the game was interrupted, we have;

The number of points player A  has = 7 points

The number of points player B has = 5 points

The amount the first player to score 10 points wins = $100

The number of points remaining for player A to win the game = 3

The number of points remaining for player B to win the game = 5

Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials

We take the probability that Player A wins a point as success

We find the likelihood of Plater A winning by using binomial theory as follows;

P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} =  \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}

Therefore, given that the likelihood of Player A winning = 99/128

The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes

Therefore, Player A gets (99/128) × $100 = $77.34375

Player B gets (29/128) × $100 =  $22.65625

8 0
3 years ago
Worth 20 points!! If you answer wrong or something not related to the question I will report you! Thanks :)
KonstantinChe [14]

A

f(x) = 2x + 1

f(3) = 2*3 + 1 = 7

B

g(x) = x^2

g(7) = 7^2

g(7)= 49

C

f(g(x)) = 2(g(x) + 1

f(g(x)) = 2 x^2 + 1

f(g(3) = 2* 3^2 + 1

f(g(3) = 19

D

g(f(x)) = (f(x))^2

g(f(x)) = (2x + 1)^2

g(f(3)) = (2*3 + 1)^2 = (6 + 1)^2 = 49

E

f(g(x)) = 2*g(x) + 1

f(g(x)) = 2*x^2 + 1

f(g(3)) = 2*3^2 + 1

f(g(3)) = 2 * 9 + 1

f(g(3)) = 18 + 1

f(g(3) = 19

F

f(g(x)) = 2(g(x)) + 1

f(g(x)) = 2*x^2 + 1  

4 0
3 years ago
What property is m+0=m
RSB [31]

Answer:additional

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Find a real number c such that x^(2)+12x+c is a perfect square trinomial.
balu736 [363]

Answer:

The value of c is 36

Step-by-step explanation:

Now, we fine the perfect square polynomial, we need to have the expression of the form:

a^2+b^2+2ab

so this can be written as a perfect square as: a^2+b^2+2ab= (a+b)^2

Now the expression given to us is:

x^{2}+12x+c

so when c is 36, we will get:

x^{2}+12x+c= x^(2)+12x+36

Now, this can be re-written as:

x^{2}+2*6*x+6^2

so here we can see that it is of the form:

a^2+b^2+2ab

so the perfect square is:

x^(2)+2*6*x+6^2= (x+6)^2

Hence, when c = 36 we get a perfect square.

8 0
3 years ago
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