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3 years ago

Write an expression to represent: The sum of ten and the quotient of a number and 6.

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

10 + x/6

Step-by-step explanation:

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A regular pentagon is shown. A regular pentagon has side lengths of 9.4 centimeters and a radius of 8 centimeters. What is the l

Angelina_Jolie [31]

Answer:

6.5 cm

Step-by-step explanation:

The computation of the length of the apothem is shown below:

Given that

The side length is 9.4 centimeters

And, the radius is 8 centimeters

Now based on the above information

As per the attached figure

AB = 8 cm

BC = 9.4 ÷ 2 = 4.7 cm

Now apply the pythagoras theorem

AB^2 = BC^2 + AC^2

8^2 = 4.7^2 + AC^2

AC^2 = 41.91

AC = 6.47 cm

= 6.5 cm

7 0

3 years ago

Find the 7th term of the geometric sequence with the given terms.

ohaa [14]

Answer:

1. 1458

2. 500 or -500

Step-by-step explanation:

1. a4=54, a5=162

r = 162/54 = 3

a7 = a5 × r²

= 162 × 3² = 1458

2.a4=-4, a6=-100

r² = -100/-4 = 25

r = +/- 5

a7 = a6 × r

= -100 × +/- 5

= +/- 500

3 0

4 years ago

What is equal to the expression (4^-5)^3

Leona [35]

The answer is 1/1073741824 or about 9.313 * 10^-10

8 0

3 years ago

Read 2 more answers

Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y =

Ilya [14]

Answer:

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34

Step-by-step explanation:

A. 2 x + 8 y = 15. 4 x + 16 y = 30.

Multiply the first equation by 2

4x+16y = 30 This is identical to the second equation so there are infinite solutions

B. 2 x - y = 18. 4 x + 2 y = 38.

Multiply the first equation by 2

4x -2y = 36. Add to the second equation 8x = 74 so there is one solution

C. 4 x + 7 y = 17. 8 x minus 14 y = 36.

Multiply the first equation by 2

8x +14y = 34 Add this to the second equation 16x = 70 There is one solution

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.

Multiply the first equation by 2

8x - 6y = 32 Subtract this from the second equation 8x - 6y = 34

0 = 2

This is never true so there is no solution

7 0

3 years ago

Pg 8 number 5 and 6 PLZZZ HELP

blsea [12.9K]

Answer:

Part 5) $C=8\pi\ cm$

Part 6) The ratio between the circumference and diameter of a circle, is equal to the number π

Step-by-step explanation:

<u><em>The questions in the attached figure</em></u>

Part 5)

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

we have

$D=8\ cm$

substitute

$C=\pi (8)$

$C=8\pi\ cm$

Part 6) What is the ratio between the circumference and diameter of a circle?

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

The ratio between the circumference and diameter of a circle, is equal to divide the circumference by the diameter

$\frac{C}{D}=\frac{\pi D}{D}=\pi$

7 0

3 years ago