Calculate the missing length for this cylinder
Calculate the missing length for this cylinder - 1

Answers

Answer 1
Answer: I assume by the length you mean height so,

(6908)/( \pi * 22^(2) ) ≈ 4.54.

if you're supposed to round it, it'd be either 4.50, or 5

I hope this helps
Answer 2
Answer: For first cylinder Vloume = pi * r^2 * h 
where h is the height and r is the radius 
so by substitute
6908=pi * r^2 * 22
so r = 9.99 cm
For second cylinder Vloume = pi * r^2 * h 
by substitute  
7884.54 = pi * r^2 * 31
so r = 8.99 
but the diameter is the required so 
d= 2*r = 2*8.99 
d= 17.99 cm

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The variable z is directly proportional to x. When x is 3, z has the value 48. What is the value of z when x = 7?

Answers

Answer:

112

Step-by-step explanation:

Given z is directly proportional to x then the equation relating them is

z = kx ← k is the constant of proportionality

To find k use the condition x = 3 when z = 48

k = (z)/(x) = (48)/(3) = 16, thus

z = 16x ← equation of proportionality

When x = 7, then

z = 16 × 7 = 112

Divide. Draw a quick picture. 143 divided by 11

Answers

A 143 divided by 11 equals 13.

To calculate 143 divided by 11 using long division, follow these steps:

  • Place the dividend (143) inside the long division symbol, and write the divisor (11) outside the symbol.
  • Check how many times 11 can be divided into the first digits of the dividend (1). The result is 1 because 11 * 1 = 11, and this is the largest multiple of 11 that fits into 14 (the first two digits of 143).
  • Write the result (1) on top, above the 4 (the first digit of 143).
  • Multiply 11 by 1 (the quotient), which equals 11, and write the result under 14.
  • Subtract 11 from 14 (14 - 11 = 3).
  • Bring down the next digit (3) to form 33.
  • Check how many times 11 can be divided into 33. The result is 3 (11 * 3 = 33).
  • Write 3 on top, above the 3.
  • Multiply 11 by 3, which equals 33, and write the result under 33.
  • Subtract 33 from 33 (33 - 33 = 0).
  • As there's no remainder and all the digits have been brought down, the final result is 13. So, 143 divided by 11 equals 13.

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143 divided by 11 equals 13

Find the gradient of the line segment between the points (-8,6) and (-10,14)

Answers

The required gradient of the line between the points (-8,6) and (-10,14) is -4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The gradient of the line segment between points (-8,6) and (-10,14) is given as,

The gradient of the line = slope of the line,
m = (y₂ - y₁) /  (x₂ - x₁)

Substitute the value in the above equation,
m = 14- 6 / -10 + 8
m = 8 / -2
m = -4

Thus, the required gradient of the line between the points (-8,6) and (-10,14) is -4.

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Answer:

-4

Step-by-step explanation:

14 - 6 = 8

-10 - - 8 = - 2

8 / - 2 = - 4

Which property of multiplication is illustrated by this equation? 2/3×3/2 = 1

Answers

The property of multiplication illustrated by the equation 2/3 × 3/2 = 1 is the multiplicative inverse property or reciprocal property. According to this property, when you multiply a number by its reciprocal, the result is always 1. In this equation, 3/2 is the reciprocal of 2/3, and when you multiply these two fractions together, the product is 1.

Which of the following expressions are equivalent? Justify your reasoning.4√x3

1
x−1

10√x5•x4•x2

x
1
3
•x
1
3
•x
1
3

Answers

Answer:

b and d

Step-by-step explanation:

b. 1/x^-1

=(1/x)^-1

=x

d. x^1/3 * x^1/3 * x^1/3

=x^1/3+1/3+1/3

=x^3/3

=x^1

=x....

4[(10-4)^2/4] answerrrrrrrr????

Answers

Answer:

36

Step-by-step explanation:

we have:

4*[(10-4)^2/4]

4*[(6)^2/4]

we know: 6^2=36

so we have:

4*(36/4)

4*9=36

Finally the answer is: 36