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2 years ago

9

In an arithmetic progession T7 =20 and T13 =38,. Find the first term and the common difference.

1 answer:

dalvyx [7]2 years ago

5 0

The first term is two.
The common difference is three. Hope this helps!

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Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

2 years ago

Could someone please help me with this problem? I don't understand.

sasho [114]

Try dividing 150 by 2 1/2 and your answer would be 6.25 you may want to double check that math though

4 0

2 years ago

Every small business must register with the secretary of state in their home state,

lawyer [7]

True is the answer ....

4 0

3 years ago

What is the value of the expression when p = 7? 9p-7 A. 12 B.27 C.36 D.60

professor190 [17]

Answer:

56

Step-by-step explanation:

Just substitute 7 for p in the expression 9p - 7: 9(7) - 7 = 56

6 0

3 years ago

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zhenek [66]

Answer: im not so sure but i think its 55

Step-by-step explanation:

8 0

2 years ago

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