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Liono4ka [1.6K]
2 years ago
13

A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a

hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0

Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

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Answer:

Event A = white marble is selected

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p(B) = 5/10 = 1/2

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How many six digit even numbers can be formed that don't end in 0?
Fudgin [204]
1st digit: 9 possibilities (can’t have 0)
2nd digit: 10 possibilities
3rd digit:10
4th digit:10
5th digit:10
6th digit: 4 possibilities (it can only be even)
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3 years ago
Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd p
nataly862011 [7]

Answer:

Answer 1; Angles forming a linear sum to 180°

Answer 2; Substitution

Answer 3; Definition of perpendicular lines

Step-by-step explanation:

The two column proof is presented as follows;

Statement  {}                               Reason

1. ∠SWT ≅ ∠TWU {}                    Given

2. m∠SWT + m∠TWU = 180°  {}  Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180° {}    Substitution

4. m∠SWT = 90°  {}                      Algebra

5. \underset{TV}{\leftrightarrow }⊥ \underset{SU}{\leftrightarrow } {}                                  Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } m∠SWT = 90°, therefore, the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } are perpendicular to each other.

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3 years ago
rewrite the polynomial 2y^2+ 6y^3-11-17y^4+8y^5 in the standard form also find its degree and coefficient of y^4
OleMash [197]

Answer:

The standard form is  8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

The degree of given polynomial is '5'

the co-efficient of  y⁴  is '-17'

Step-by-step explanation:

Given standard form 2 y²+ 6 y³-11-17 y⁴+8 y⁵

<em>The form ax² + b x + c is called the standard form of the quadratic expression of 'x'.This is second degree standard form of polynomial.</em>

<em>The form ax⁵ + b x⁴ + c x³ +d x² +ex +f  is called the standard form of the quadratic expression of 'x'.This is fifth degree standard form of polynomial</em>

now Given polynomial is  2 y²+ 6 y³-11-17 y⁴+8 y⁵

The standard form is

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<u><em>Conclusion</em></u>:-

<em>The degree of given polynomial is '5'</em>

<em>The co-efficient of  y⁴  is '-17'</em>

<em>   </em>

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the option c is the answer for this question

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