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2 years ago

Find the 18th term of the sequence 5, 8, 11, 14, 17... 53 56 59

1 answer:

6 0

Adds 3 each time
first term is 5
an=a1+d(n-1)
d=common difference
a1=first term
an=5+3(n-1)
18th term
a18=5+3(18-1)
a18=5+3(17)
a18=5+51
a18=56
The answer is 56

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A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l

NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. $\sqrt{2}x= 2r$ [Diagonal of square = $\sqrt{2}$ (side)]

i.e. $r=\dfrac{x}{\sqrt{2}}$

area of circle = $\pi r^2$

i.e. $56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2$

$56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970$

Hence, the value of x is 5.970.

4 0

3 years ago

Help please

77julia77 [94]

Solution:

Note that:

Given inequality: 3 < x + 3 < 6

Solving the inequality one by one.

3 < x + 3
=> -3 + 3 < x
=> 0 < x
=> x + 3 < 6
=> x < 6 - 3
=> x < 3

The inequality is 0 < x < 3.

7 0

2 years ago

Rick took a 20-minute coffee break. at the end of the break, it was 10:00

gladu [14]

Rick started his coffee break at 9:40 am.

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3 years ago

Read 2 more answers

Find the value of this expression if x=5

Nastasia [14]

so, uh, i think the answe is actually 5. Since 5^2 is 25, minus 5 is 20, and 5 minus 1 is 4, 20 divided by 4 is 5. i hope that helps.

4 0

3 years ago

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

GenaCL600 [577]

The answers are:
__________________________
[B]: "√12 " ; AND:
__________________________
[D]: "√20" .
__________________________
Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A) "√9" = 3 . Rule out this choice.
__________________________________
Choice C) "√16" = 4 . Rule out this choice.
__________________________________
Choice E) "√25" = 5. Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
[B]: "√12" ; and: [D]: "√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
____________________________
[B]: "√12" = 3.4641016151377546

[D]: "√20" = 4.4721359549995794
_________________________________
These two answer choices should the correct answers.

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3 years ago