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adelina 88 [10]

3 years ago

12

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters

and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.

1 answer:

grigory [225]3 years ago

5 0

Answer:

The density of the material must be at least 1.5 g/cm³.

Step-by-step explanation:

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Mr lee ran 35 miles this week. He runs every day from Monday through Friday but does not run on the weekend .this week he ran th

lozanna [386]

35miles/ 5 days
=7 miles per day

4 0

3 years ago

Read 2 more answers

Please help please help please help and explain step by step

sergejj [24]

Step-by-step explanation:

the formula for volume of a cylinder is :

$v = \pi \: r {}^{2} h$

r=d/2

r = 7/2

h= 10

v= 22/7×7/2×10

v= 110cm³

8 0

4 years ago

Someone Help? Im confuzzled

cupoosta [38]

Answer: 16π

Step-by-step explanation:

First, solve for total area:

A = πr^2

A = π(8^2) = 64π

Then, find 1/4 of the area of the whole (since this is only a quarter circle)

A/4 = (64π)/4 = 16π

3 0

3 years ago

A and B are similar solid cylinders base area of A : base area of B = 9 : 25

fomenos

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

7 0

3 years ago

6. Find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel

prisoha [69]

<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</u></h3>

$y = \frac{5}{4}x + 13$

<em><u>Solution:</u></em>

Given that,

We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line

From given,

-5x + 4y = 8

Rearrange to slope intercept form

4y = 5x + 8

$y = \frac{5x}{4} + \frac{8}{4}\\\\y = \frac{5x}{4} + 2$

On comparing the above equation with slope intercept form,

$m = \frac{5}{4}$

We know that, slopes of parallel lines are equal

Therefore, slope of line parallel to the line -5x + 4y = 8 is:

$m = \frac{5}{4}$

$\text{Substitute } m = \frac{5}{4}\ and\ (x, y) = (-8, 3) \text{ in eqn 1}$

$3 = \frac{5}{4} \times -8 + c\\\\3 = -10 + c\\\\c = 13$

Substitute c = 13 and m = 5/4 in eqn 1

$y = \frac{5}{4}x + 13$

Thus the equation of line in slope intercept form is found

6 0

4 years ago