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ioda
3 years ago
11

Plz plz plz plz help me​

Mathematics
2 answers:
Basile [38]3 years ago
7 0

Answer:

  • 240 plants

Step-by-step explanation:

<u>Find the area of the garden:</u>

  • A = 1/2bh
  • A = 1/2(8)(15) = 60 m²

<u>Number of plants:</u>

  • 60*4 = 240 plants
worty [1.4K]3 years ago
7 0

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs <u>2</u><u>4</u><u>0</u><u> </u>plants in the garden.

You might be interested in
A rectangular storage container with an open top is to have a volume of 10 m3 . then length of its base is twice the width. mate
katrin [286]

Answer:

The cost of materials for the cheapest such container is $163.54.

Step-by-step explanation:

A rectangular storage container with an open top is to have a volume of 10 m³.

The volume of the rectangle is

\text{Volume} =\text{Length} \times \text{Width} \times \text{Height}

Length of its base is twice the width.

Let Width be 'w'.

Length is l=2w.

Height be 'h'.

10 =2w\times w\times h

10=2w^2h

The height in terms of width is represented as,

h=\frac{10}{2w^2}

h=\frac{5}{w^2}

According to question,

The cost is 10 times the area of the base and 6 times the total area of the sides.

i.e. Cost is given by,

C=10(L\times W)+6(2\times L\times H+2\times W\times H)

C=10(2w\times w)+6(2\times 2w\times \frac{5}{w^2}+2\times w\times \frac{5}{w^2})

C=20w^2+\frac{120}{w}+\frac{60}{w}

C(w)=20w^2+\frac{180}{w}

To get the minimum value,

Differentiate the cost w.r.t 'w',

C'(w)=20\frac{d(w^2)}{dw}+180\frac{d(w^{-1})}{dw}

C'(w)=20\times 2w-180 w^{-2}

C'(w)=40w-\frac{180}{w^2}

To find critical points put derivate =0,

40w-\frac{180}{w^2}=0

40w=\frac{180}{w^2}

w^3=\frac{180}{40}

w=\sqrt[3]{4.5}

w=1.65

We find the second derivative to minimize,

C''(w)=40\frac{d(w)}{dw}-180\frac{d(w^{-2})}{dw}

C''(w)=40+360(w^{-3})

C''(w)>0

As C''(w)>0 it is the minimum cost.

The cost is minimum at w=1.65.

Substitute the values in the cost function,

C(1.65)=20(1.65)^2+\frac{180}{1.65}

C(1.65)=54.45+109.09

C(1.65)=163.54

Therefore, the cost of materials for the cheapest such container is $163.54.

7 0
3 years ago
I need help on 18, thank you!
adelina 88 [10]
I think the answers are: a = 60°, b = 45°, c = 36°.
5 0
3 years ago
The cost to repair Linda's car is $500, including parts and labor. The cost of parts is $140. If the cost of labor is $40 per ho
Vladimir79 [104]
The answer is 9 hours
3 0
3 years ago
Rhonda hiked 260.4 feet and hiked 3 more hours and I got that by adding 1.5+1.5=3 but what do I do
Hunter-Best [27]
1.5 + 1.5 + 2 = 5 hours 
All you must do is: 260.4 / 5 = ? 
6 0
3 years ago
Replace ? with =, &gt;, or &lt; to make the statement true.
USPshnik [31]
First you add 3+6, then take 9 and multiply by 2 which is 18, the do 26-18 which is 8×3=24.
12×3=36-12=24.
So 24=24
Your answer is A.
8 0
3 years ago
Read 2 more answers
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