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3 years ago

Martha will build a pool in her backyard. She wants the pool to have a rectangular shape

Mathematics

1 answer:

Ivan3 years ago

8 0

9514 1404 393

Answer:

C. 161.459 square feet

Step-by-step explanation:

In feet, the dimensions of the pool are ...

(5 m)(3.28084 ft/m) = 16.4042 ft

(3 m)(3.28084 ft/m) = 9.84252 ft

Then the area of the pool is ...

(16.4042 ft)(9.84252 ft) = 161.458666584 square feet

about 161.459 square feet

_____

Additional comment

If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.

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I'm confused I don't understand how to figure how much is the total number of students

Mariana [72]

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3 years ago

3. Each bangle printed by a 3D printer has a mass of exactly 25 g of metal. If the density of the metal is 14 g/cm3, what length

nadezda [96]

Answer:

57.0 cm

Step-by-step explanation:

We know that the radius of the filament is 1 mm. Taken to cm, is 0.1 cm.

From the density and mass, we can get the volumen of the bangle:

d = m/V ----> V = m/d

Solving for V:

V = 25 / 14 = 1.79 cm^3

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3 years ago

What are all the multiplication problems that make 2

makvit [3.9K]

If we're talking in whole numbers, the only multiplication of whole numbers that equals two is
2 * 1
or
-2 * -1

6 0

4 years ago

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For a certain automobile,

emmasim [6.3K]

Answer:

The answer is

a) 2,128 miles per gallon at 40,36 miles per hour

b) 1,388 miles per gallon at 60 miles per hour

Step-by-step explanation:

Let's find the extreme points of M(x) for 30≤x≤60. M(x) simplified by dividing to 7.8.

$M(x) = -1,92.10^-3x^2+0,155x-1$

To find extreme points we find tangent of M(x) and equal it to 0.

$M'(x) = -3,84.10^-3x+0,155=0$

therefore x= $\frac{-0,155}{-3,84.10^-^3} = 40,36$

This divides our x to 2 different range 30≤x≤40,36 and 40,36≤x≤60

Now we pick a number and investigate from the ranges

30≤x≤40,36 → x = 35 → M'(35) = 0,0206 which is > 0 and that means M is increasing

40,36≤x≤60 → x = 45 → M'(45) = -0,0178 which is < 0 and that means M is decreasing

Next let's look at critical points

x M(x) Before After Decision

30 1,922 - ↑ Local Minimum Point

40,36 2,128 ↑ ↓ Local Maximum Point

60 1,388 ↓ - Local Minimum Point

As we can see (30, 1,922) and (60, 1,388) are local minimum points and (40,36 , 2,128) is the local maximum point.

Since (60 , 1,388) is the lowest local minimum point it is the absolute minimum point and (40,36 , 2,128) is the absolute maximum point.

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3 years ago

A tree is supported by HELP! a wire anchored in the ground 9 feet from its base. the wire is 1 foot longer than the height that

olga55 [171]

For a right triangle with legs legnth a and b and hyptonuse c
a^2+b^2=c^2
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so
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81+b^2=b^2+2b+1
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40=b
c=b+1
c=40+1
c=41
legnth of wire is 41ft

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3 years ago

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