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3 years ago

14

The height of a cone is 12 cm and the radius is 3 cm. To the nearest square centimeter, what is the area of the cross section th

at is perpendicular to the base and includes the vertex?
18 cm squared

28 cm squared

36 cm squared

72 cm squared

1 answer:

kipiarov [429]3 years ago

7 0

The answer is 28 cm squared!

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Suppose a scatter plot contains the points (12, 28), (15, 33), (21, 44), (29, 62), and (33, 68). Which of these points would be

yawa3891 [41]

Answer:

Unsure, take a look at the visualisation:

desmos(dotcom)/calculator/fjze0od81o

Replace the (dotcom) with ".com" ( links are not allowed :( )

Explanation:

None of the points look as though they are an outlier from the line of linear regression, although (29,62) looks furthest from the line so could be a possible answer although I would probably say there is no outlier.

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3 years ago

Amanda spent a total of 70 minutes competing her chores this week. Write and solve an equation to represent the number of minute

gtnhenbr [62]

Answer:

28 minutes spent in washing the dishes.

Step-by-step explanation:

Given the table

Chore time in minutes

Sweeping 42

Dishes ?

Amanda spent a total of 70 minutes competing her chores this week

Total of 70 minutes spent

42 minutes spent in sweeping . to find the number of minutes Amanda spent in washing the dishes , subtract 42 minutes from the total time spent

let x be the number of minutes spent washing the dishes

$42+x=70$

To solve for x , subtract 42 from both sides

$42+x=70\\x= 70-42\\x=28$

28 minutes spent in washing the dishes.

4 0

3 years ago

Helppppp please. I am stumped..

vichka [17]

Answer:

D

Step-by-step explanation:

w = width

length = w + 0.6

A = l · w

A = w (w + 0.6)

A = w² +.6w

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3 years ago

Read 2 more answers

Please solve these for 20 points : solving formulas for a variable

Digiron [165]

6. (A/pi = r^2)
7. [(P - 2l)/2 = w]
8. [C/(2pi)= r]
9. (2A/h = b)
10. (E/c^2 = m)

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3 years ago

The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2

maxonik [38]

Given:

The red figure dilated with a scale factor of $s=\dfrac{1}{3}$ and the center of dilation is at the point (4,2) to get the green figure.

To find:

The coordinates of C' and A.

Solution:

If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

$(x,y)\to (k(x-a)+a,k(y-b)+b)$

In given problem, the scale factor is $\dfrac{1}{3}$ and the center of dilation is at (4,2).

$(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)$ ...(i)

Let the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

$C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)$

$C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)$

$C(-2,11)\to C'(-2+4,3+2)$

$C(-2,11)\to C'(2,5)$

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

$A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)$

From the given figure it is clear that the image of point A is (8,4).

$A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)$

On comparing both sides, we get

$\dfrac{1}{3}(m-4)+4=8$

$\dfrac{1}{3}(m-4)=8-4$

$(m-4)=3(4)$

$m=12+4$

$m=16$

And,

$\dfrac{1}{3}(n-2)+2=4$

$\dfrac{1}{3}(n-2)=4-2$

$(n-2)=3(2)$

$n=6+2$

$n=8$

Therefore, the coordinates of point A are (16,8).

4 0

3 years ago