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7nadin3 [17]
3 years ago
7

GIVE THE RIGHT ANSWER AND PROVE THAT ITS RIGHT

Mathematics
2 answers:
Lunna [17]3 years ago
5 0

The right answer is 56

SSSSS [86.1K]3 years ago
3 0

a = 56

given 28 = \frac{1}{2} a

multiply both sides by 2 to eliminate the fraction

56 = a

As a check

\frac{1}{2} × 56 = 28 ← True


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You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimen
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Answer:

25.2 minutes

Step-by-step explanation:

step 1

Find the area of the given wall

A=(7)(6)=42\ ft^2

step 2

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\frac{75}{45}\ \frac{ft^2}{min}=\frac{42}{x}\ \frac{ft^2}{min}\\\\x=45(42)/75\\\\x=25.2\ min

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3 years ago
Graph h(x) = 4x + 4 + 3.<br> Help me plz
saveliy_v [14]

Answer:

h(x)=4x+7

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5 0
3 years ago
Read 2 more answers
A blind man wanders under a door into an empty room. After running into the walls repeatedly for a while, it stops to think and
Nostrana [21]

From the side where the man is located in the 10' by 12' rectangular room, we have;

A) 0.046

B) The average time to escape in first attempt is approximately 605.02 seconds

<h3>Which concept can be used to find the odds and time of escape?</h3>

A) From The given diagram, we have;

Width of the door = 10 - 6 - 2 = 2

Therefore, the door is 2 feet wide

Distance, d1, from the man to the side of the door closer to him is given by Pythagorean theorem as follows;

  • d1 = √(6² + 7²) = √(85)

From the furthest side of the door to the man, we have;

  • d2 = √(7² + 8²) = √(113)

According to the law of cosines, we have;

2² = 85+113 - 2×√(85)×√(113) cos(A)

Where angle <em>A </em>is the angle formed by the lines from the man to the closer and farther sides of the door.

2×√(85)×√(113) cos(A) = 85+113 - 2²

A = arccos((85+113 - 2²)/(2×√(85)×√(113)))

A = arccos (194/(2×√(9605)) ≈ 8.213°

The angle of the possible directions in which the man can turn is 180°.

Therefore;

The probability, <em>P(</em><em>E)</em>, of escaping in the first move is therefore;

  • P(E) = 8.213°/180° ≈ 0.046

B) Given that the man escapes in the first move, the shortest and longest distances the man moves are;

d1 = √(85) and d2 = √(113)

Speed of the man, <em>v </em>= 0.5 cm/sec

Therefore by unit conversion function of a graphing calculator;

  • v = (25/1524) ft./sec

The times taken are;

t1 = √(85)/(25/1524) ≈ 562.023

t2 = √(113)/(25/1524) ≈ 648.014.

Average time, <em>t </em>= (t1 + t2)/2

Which gives;

t = (562.023 + 648.014)/2 ≈ 605.02

The average time it takes the man to escape in first move is <em>t </em><em>≈</em> 605.02 seconds.

Learn more about Pythagorean theorem and probability here:

brainly.com/question/27180985

brainly.com/question/654982

brainly.com/question/24756209

#SPJ1

3 0
1 year ago
Can someone answer this question please?
Keith_Richards [23]

Part (a)

<h3>Answer:  0.2</h3>

----------------------------------

Work Shown

It costs $15 to rent a bike for 3 hours. We can write the following ratio below

15 dollars : 3 hours

To represent the connection of the two concepts (dollars connecting with hours)

We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".

Divide both sides of the ratio by 15 to achieve this goal.

15 dollars : 3 hours

15/15 dollars : 3/15 hours

1 dollar : 1/5 hours

1 dollar : 0.2 hours

0.2 hours : 1 dollar

So we get 0.2 hours per dollar.

As a side note, 0.2 hours = 0.2*60 = 12 minutes.

========================================================

Part (b)

<h3>Answer:  3.38</h3>

----------------------------------

Work Shown

27 pages : 8 minutes

27/8 pages : 8/8 minutes

3.375 pages : 1 minute

3.38 pages : 1 minute

I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.

3 0
3 years ago
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