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alexandr402 [8]
3 years ago
14

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

rden is in the shape of a rectangle with vertices at (2, 5) (8, 5) (8, 3) and (2, 3). Find the total length of border needed. 12ft 16ft 24ft 100ft
Mathematics
2 answers:
sineoko [7]3 years ago
7 0

Answer:

16 feet

Step-by-step explanation:

Kamila [148]3 years ago
6 0
Answer: 16 ft

Explanation:

You can determine the lengths of each segment by subtracting the coordinates of the adjacent points.

1) From (2,5) to (8,5): 8 - 2 = 6

2) From (8,5) to (8,3): 5 - 3 = 2

3) From (8,3) to (2,3): 8 - 2 = 6 (as expected as this is congruent to the first

4) From (2,3) to (2,5): 5 - 3 = 2 (as expected as this is congruent to the second).

The total length of the border or perimeter is equal to the sum of all the sides:

perimeter = 6 + 2 + 6 + 2 = 16

Therefore the answer is 16 ft
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At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
Can someone please answer. There is a picture. There is only one question. Thank you so much
KatRina [158]
Hello,

Answer A

(x-x0)²+(y-y0)²=r²
7 0
3 years ago
What is the equation in point-slope form that represents the line going through (1,3) and (4,6)
Darya [45]
We have the slope m = (6-3)/(4-1) = 3/3 = 1;
Then, y - 3 = 1·( x - 1);
finally, y = x + 2.
3 0
3 years ago
To increase an amount by 30%, what single multiplier would you use? and To decrease an amount by 30%, what single multiplier wou
Kamila [148]

Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

6 0
3 years ago
J/2--12=15 <br> j/2 is a fraction
Natasha_Volkova [10]

Answer:

j = 54

Step-by-step explanation:

j/2 - 12 = 15

j/2 = 15 +12

j/2 *2  = 27 * 2

j = 54

If you're kind enough, please mark this as the brainlist answer!

3 0
3 years ago
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