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vredina [299]
3 years ago
5

Will award brainliest, What is the area, in square units, of the polygon shown?

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0
7 x 2 = 14
3 x 1 = 3

14+3 = 17

answer 17 unit^2

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Jerry plays tennis once every 6 days.Sam plays tennis every 10 days and Leo comes once every 12 days.Thus Monday all of them pla
drek231 [11]

Answer:

Friday

Step-by-step explanation:

Given

Jerry = Every 6 days.

Sam = Every 10 days

Leo = Every 12 days.

Required.

If they meet on Monday, when next (day) will they meet

First, we need to get the multiple of 6, 10 and 12.

6 => 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72......

10 => 10, 20, 30, 40, 50, 60, 70, 80.....

12=> 12, 24, 36, 48, 6o, 72, 84, 96......

The common factor between the multiples of 6, 10 and 12 is 60.

This represents the LCM.

It implies that they'll meet on the 60th day after their last meeting on Monday.

To get the day, follow the steps below.

Since there are 7 days a week

So, there are 60/7 weeks in 60 days

60/7 = 8 weeks 4 days

Recall that the last day they met was a Monday.

Hence, there next meeting will be 4 days after Monday.

4 days after Monday = Friday

7 0
2 years ago
A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
3 years ago
Plzzzzzzzzz help meeee
Rashid [163]
Table a is 3 b is 2 and c is 1
7 0
2 years ago
How do you do this question?
DENIUS [597]

Answer:

z = -ln│5eᵗ + C│

Step-by-step explanation:

dz/dt + 5eᵗ⁺ᶻ = 0

dz/dt = -5eᵗ⁺ᶻ

dz/dt = -5eᵗeᶻ

-e⁻ᶻ dz = 5eᵗ dt

e⁻ᶻ = 5eᵗ + C

-z = ln│5eᵗ + C│

z = -ln│5eᵗ + C│

7 0
3 years ago
The lunch special at Scott's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 1 drink, and 2 desserts to
mash [69]

Answer:

24 for being able to not have one, 6 for having one of each

Step-by-step explanation:

multiplication

with the option of none

4*2*3=24

without the option of none

3*1*2=6

4 0
2 years ago
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