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3 years ago

−2 1/2 −5 3/4 The distance between the two numbers is

Mathematics

1 answer:

emmainna [20.7K]3 years ago

5 0

the answer to this question is -7.25 or 7 1/4

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A circle's circumference is approximately 44 cm.

Sav [38]

<h3>Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>

these are all approximate

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Explanation:

C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,

C = pi*d

d = C/pi

d = 44/3.14

d = 14.01 approximately

d = 14 also approximate

take half of this to get the radius

r = d/2 = 14/2 = 7

Then use this radius to find the circle's area

A = pi*r^2

A = 3.14*7^2

A = 153.86

A = 154 rounding to the nearest whole number

7 0

3 years ago

How does 15.050 compare to 15.500

Varvara68 [4.7K]

15.050 < 15.500

notice that 500 is more than 50... so hope this helps a little bit !!!

6 0

3 years ago

Read 2 more answers

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

How do you solve 3/4 (5+x) + 4 = 3x + 1? Thanks:)

elena-s [515]

$\dfrac{3}{4}(5+x)+4=3x+1\ \ \ \ |\cdot4\\\\3(5+x)+16=12x+4\ \ \ |\text{use distributive property}\\\\(3)(5)+(3)(x)+16=12x+4\\\\15+3x+16=12x+4\\\\31+3x=12x+4\ \ \ \ |-31\\\\3x=12x-27\ \ \ \ |-12x\\\\-9x=-27\ \ \ \ |:(-9)\\\\\boxed{x=3}$

3 0

2 years ago

A machine that drills holes for wells drilled to a depth of

s2008m [1.1K]

Answer:

depth of -117 feet

Step-by-step explanation:

24 hours 72 feet, so one hour 72/24 = 3 feet

after 15 hours, another 3*15 = 45 feet, so the depth become 72 + 45 = 117 feet

5 0

2 years ago