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stepladder [879]
3 years ago
10

Francis plants an orchard of peach trees. He plants 56 trees in 8 equal rows. What equation represents this situation if x is th

e number of trees in each row?
Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer: 8x = 56

Step-by-step explanation:

Since the information given is that Francis plants an orchard of peach trees and that he plants 56 trees in 8 equal rows, the equation that represents this situation if x is the number of trees in each row will be:

(8 × x) = 56

8x = 56

Therefore, to know the number of trees in each row, we've to find the value of x. This will be:

8x = 56

x = 56/8

x = 7

Therefore, the number of trees in each row is 7.

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Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43, find BD
Kaylis [27]

<em>BD</em> = 56

Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

So, <em>AC</em> = <em>BD</em>

⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>

⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

⇒<em>AG</em> = <em>GD</em>

⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

⇒<em>j</em> = –3

Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

     = 2(5 (–3) + 43)

     = 2(–15 + 43)

     = 2 × 28

     = 56

Hence, <em>BD</em> = 56.

4 0
2 years ago
The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon
alisha [4.7K]

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).

6 0
3 years ago
Find the area of the circle round your answer to the nearest 10th
zhannawk [14.2K]

Answer:

The area is 19.63.

Step-by-step explanation:

6 0
3 years ago
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Calculate the simple interest on $1500 for 3 years at 20% per annum
svp [43]

Answer:

see explanation below

Step-by-step explanation:

1500 × 3 × 20 ÷ 100

$900

4 0
2 years ago
What is ?5/8 times ?.2 and equals ?8
aliya0001 [1]
First you put a 1 under the 2.Then you multiply 85*2 and you get 170.Next you multiply 8.2*1 and you get 8.2.Finally, you divide 170 by 8.2 and get 20.73.

So, your answer to 85/8 times 8.2 = 20.73.

Hope that helped.
7 0
3 years ago
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