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3 years ago

8

Which image below shows the result of an image that has been rotated 180 by the origin O?

1 answer:

andriy [413]3 years ago

7 0

The new image will be reflected across the x axis and will be on the opposite side of the y axis

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Find the area of this shape

ArbitrLikvidat [17]

So you have 2 identical big triangles with the h = 5.75 and b = 4:

A=(1/2)bh=(1/2)*4*5.75=11.5
11.5*2=23

Then you have to smaller identical triangles with the h =2 and b=(4+4-4)/2=2

A=(1/2)*2*2=2
2*2=4

Then you have a rectangle:
A=bh=4*2=8

Add all the calculated areas:
A=23+4+8=35

The area of the shape is therefore 35 cm^2

Hope that helped.

8 0

3 years ago

Kelly has a hula hoop with a radius of 2.4 feet. what is the diameter.

Anon25 [30]

Answer:

4.8

Step-by-step explanation:

Radius is 1/2 of the diameter so just do 2.4 and multiply it by 2

hope this helps :)

4 0

3 years ago

Find the percent change from the first value to the second. 32; 56

puteri [66]

Answer:

75%

Step-by-step explanation:

Percentage change = (change) ÷ (first value) × 100

Change = second value - first value = 56 - 32 = 24

∴ Percentage change = $\frac{24}{32} * 100 =$ 75%

6 0

3 years ago

If there is a positive correlation between salary and education, then based on the table shown, which of the following careers r

asambeis [7]

It is A. accountant because out of the options you gave me that one gets paid the most

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4 years ago

Read 2 more answers

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago