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2 years ago

Form a sequence that has two arithmetic means between -1 and 59.

2 answers:

7 0

The formula for solving the problem is as follow:
an = a1 + (n - 1)d
Where:
n = number of figure in the sequence = 4
d = difference between successive number =?
a1 = -1
a4 = 59
Insert the given values into the formula,
59 = -1 + (4 - 1)d
59 = -1 + 3d
59 + 1 = 3d
60 = 3d
d = 60/3 = 20
Therefore, d = 20. This implies that, there is a difference of 20 between successive numbers.
The number sequence is as follow:
-1, 19, 39, 59.

Stels [109]2 years ago

7 0

<span><span>two arithmetic means between -1 and 59.
</span>b.-1, 19, 39, 59</span>

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The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a

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Answer: 15 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

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Tan 31 = x /25

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2 years ago

Use cavalieri's principle to a circular pillar candle is 2.8 inches wide & 6 inches tall. find the volume of the candle.

wolverine [178]

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2 years ago

Tommy goes swimming every 12 days and hiking every 5 days. He did both today, how many days from now will he do both again? How

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1 year ago

A triangle has a perimeter of 90 centimeters write and use a linear system

lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90 --------------equation(1)

Second equation would be

m = 5n-5 --------------equation(2)

Third equation would be

l = 5/4 m - n --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.

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3 years ago