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katovenus [111]
3 years ago
12

James thinks the perimeter of this figure is 6x + 10. Ana thinks it is 6x + 6. Who is

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

whats the figure? I need the background knowledge

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Can anyone solve and explain please?
Leokris [45]
First take the inside diameter and divide by 2 to get the radius (4cm)
Then use \pir^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
Now multiply the height by the area of the base to get the volume/ capacity!
40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters
8 0
3 years ago
in right triangle ABC, C is the right angle. Given measure of angle A = 40 degrees and a =6, which of the following are the leng
qaws [65]
Tan 40° = 6 / AC
AC = 6 / tan 40°
AC = 6 / .8391
AC = 7.15

AB² = 6² + 7.15²
AB² = 36 + 51.123
AB² = 87.12
AB = 9.33

 

3 0
3 years ago
A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

__

Interestingly, the ratio of h to r is √2.

8 0
3 years ago
Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
NISA [10]

Answer:

f(x) = 4x² - 40x + 84

Step-by-step explanation:

4(x - 7)(x - 3) = 0

4(x² - 3x - 7x + 21) = 0

4(x² - 10x + 21) = 0

4x² - 40x + 84 = 0

3 0
3 years ago
Charles has $87 in his checking account. He spent $14 and $17, then deposited $33. If he wants to buy a television that cost $18
tester [92]

Answer:

He need $99 more

Step-by-step explanation:

87-14-17=56+33=89

188-89=99

5 0
3 years ago
Read 2 more answers
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