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3 years ago

My question is what is 69 x 420?

Mathematics

1 answer:

elena55 [62]3 years ago

5 0

Answer:

28,980

Step-by-step explanation:

69 x 420 = 28,980

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Each length unit on the speedway diagram represents one-tenth of a mile. What is the area of the sector associated with turn A i

Alecsey [184]

We know that
area of a circle=pi*r²
turn A
r=3 units------> 3*(1/10)----> 0.3 miles
area of a circle=3.142*0.3²-----> 0.28278 miles²

by proportion
0.28278/360°=A/90°------> A=90*0.28278/360------> A=0.0707 miles²

the answer is
0.0707 miles²

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4 years ago

Which scatterplot does NOT suggest a linear relationship between and y

iren2701 [21]

C; this is because the line of beat fit isn’t linear but curved in that one graph.

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3 years ago

How many times does the line y=2 touch the graph? (Ensure to draw your line on the graph)* (1 Point) *

faust18 [17]

Answer:

Step-by-step explanation:

if you draw a line y=2 will touch the graph in 3 points

7 0

2 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

harina [27]

$L(x,y,z,\lambda)=8x+8y+4z+\lambda(4x^2+4y^2+4z^2-36)$

$L_x=8+8\lambda x=0\implies 1+\lambda x=0$
$L_y=8+8\lambda y=0\implies 1+\lambda y=0$
$L_z=4+8\lambda z=0\implies 1+2\lambda z=0$
$L_\lambda=4x^2+4y^2+4z^2-36=0\implies x^2+y^2+z^2=9$

$yL_x=y+\lambda xy=0$
$xL_y=x+\lambda xy=0$
$\implies yL_x-xL_y=y-x=0\implies y=x$

$2zL_x=2z+2\lambda xz=0$
$xL_z=x+2\lambda xz=0$
$\implies 2zL_x-xL_z=2z-x=0\implies x=2z$

$2zL_y=2z+2\lambda yz=0$
$yL_z=y+2\lambda yz=0$
$\implies 2zL_y-yL_z=2z-y=0\implies y=2z$

$x=y=2z\implies x^2+y^2+z^2=9\iff 4z^2+4z^2+z^2=9z^2=9\implies z=\pm1$

$z=\pm1\implies y=x=\pm2$

So we have two critical points, (2, 2, 1) and (-2, -2, -1), which respectively give a max of 36 and a min of -36.

5 0

3 years ago

The sum of the digits of a two-digit

Ann [662]

Answer:

Step-by-step explanation:

Let the unit place be ‘x'

Tenth place be y

The number is 10y+x

x+y = 9 (according to the condition) (1)

Digits are interchanged Unit place' y ‘& tenth place ‘ x'

New no is 10x +y

This is 9 more than the original number

10x+ y = 10y+x +9

10x-x+y-10y = 9

9x-9y= 9

x-y = 1 (dividing by 9) (2)

Adding the two equations

2x = 10

x= 5

Substituting the value of x in first equation

y = 4

The number is 45, the original number is 54 this is 9 more of the new number.

6 0

3 years ago