3 years ago

PLEASEHELP!!!!!!!!!!!

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

The red arc is named "minor arc EF" or simply "arc EF". This is the shortest distance from E to F along the curve.

The measure of arc EF is 68 degrees as this is the central angle that subtends this same arc.

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

5 0

3 years ago

Please help with this question

ioda

Answer:

$25$

Step-by-step explanation:

$\frac{5^8 \times 5^{-2}}{5^4}$

$\frac{5^{8+-2}}{5^4}$

$\frac{5^{6}}{5^4}$

$5^{6-4}$

$5^2$

$=25$

3 0

3 years ago

Could someone please simplify for me the square root of 4312?? I would really appreciate it.

stepan [7]

Square root of 4312 = 65.66582064

3 0

3 years ago

Rationalize the denominator:<br><br> Please give step by step solution

MrMuchimi

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

$\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i$

5 0

3 years ago

a new product price is increased from $7.00 to $11.00. what is the percent of change rounded to the nearest whole

Musya8 [376]

Answer:

about 157%

Step-by-step explanation:

11/7=1.571

8 0

2 years ago

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