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Naddika [18.5K]
2 years ago
8

HELP a map has a scale of 1 cm 35 feet use the map distance to find the actual distance

Mathematics
1 answer:
Anastasy [175]2 years ago
5 0

Answer:

Step-by-step explanation:

13. 35ft * 6cm = 210

14. 35ft * 3.2cm = 112

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An open metal tank of square base has a volume of 123 m^3
snow_lady [41]

Answer:

  a) h = 123/x^2

  b) S = x^2 +492/x

  c) x ≈ 6.27

  d) S'' = 6; area is a minimum (Y)

  e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

  V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

  123 = x^2·h

  h = 123/x^2

__

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}

__

c) The derivative of the area with respect to x is ...

S'=2x-\dfrac{492}{x^2}

When this is zero, area is at an extreme.

0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583

__

d) The second derivative is ...

S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6

This is positive, so the value of x found represents a minimum of the area function.

__

e) The minimum area is ...

S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78

The minimum area of metal used is about 117.78 m².

3 0
2 years ago
I need help finding this answer to this inequality -10[9-2x]-x≤2x-5
Ad libitum [116K]

Answer:

x≤5

Step-by-step explanation:

-10(9-2x)-x≤2x-5

-90+20x-x≤2x-5

19x-2x≤90-5

17x≤85

x≤85/17

x≤5

8 0
3 years ago
What’s the probability?
son4ous [18]

Answer:

\frac{1}{8}

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or \frac{1}{2}

So to get the probability for the three flips just do:

(\frac{1}{2}) ^{3}  or \frac{1}{2} × \frac{1}{2} × \frac{1}{2}

Either way you solve it the answer is \frac{1}{8}

6 0
2 years ago
Daniel saves 30% of every paycheck. his paycheck last week was 560.
Brut [27]

Answer: if your asking how much he saved then the answer is $168

Step-by-step explanation:

5 0
3 years ago
What is the decimal expansion for 12 8/9 ​?
d1i1m1o1n [39]

Answer:

The decimal form of the fraction is 12.88...

6 0
3 years ago
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