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3 years ago

8

97,818Rounded to the nearest 10th

1 answer:

ahrayia [7]3 years ago

4 0

97,818

unless you mean 97.818 --> 97.8

EXPLANATION
97,818 is not a decimal, so you cannot round it.

IF it is 97.818
the last 8 would make 1 into 2.
but 2 is less than 5
5 and over means you can make the next number bigger.
4 and lower means you keep the same.
hence the next 8 stays the same since 1 is less than 5.

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2 3 5 9 17 _ what is the next number in the sequence

nordsb [41]

The next number is 33

3 0

3 years ago

Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none

Marysya12 [62]

Answer: The required solution of the given system is

(x, y) = (3, 1) and (4, 0).

Step-by-step explanation: We are given to solve the following system of equations :

$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

(x, y) = (3, 1) and (4, 0).

8 0

3 years ago

A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state t

Scrat [10]

Given:

Radius of the cone = 3 inches

Height of the cone = 8 inches

To find:

The volume of the cone, in terms of π.

Solution:

We know that, the volume of a cone is:

$V=\dfrac{1}{3}\pi r^2h$

Putting $r=3,h=8$ , we get

$V=\dfrac{1}{3}\pi (3)^2(8)$

$V=\dfrac{1}{3}\pi (9)(8)$

$V=\dfrac{72}{3}\pi$

$V=24\pi$

Therefore, the volume of the cone is $24\pi$ .

7 0

2 years ago

14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.

irina [24]

Answer: the distance is 3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos( -(23/36)*pi ) = -2.11

y = 5*sin( -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) = 3.49

4 0

3 years ago

Plzz solve in 2 mins

Katen [24]

Answer:

A is the answer

Step-by-step explanation:

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4 0

3 years ago

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