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Keith_Richards [23]

3 years ago

5

Find the slope of the line 3,0 and 0,-3

1 answer:

liubo4ka [24]3 years ago

6 0

Answer:

1

Step-by-step explanation:

The slope of the line is 1. To find slope use the formula $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ , this calculates the change in y over the change in x. So plug in the known values $\frac{0+3}{3-0}$ , this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.

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A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo

Oduvanchick [21]

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

$\boxed{ \mathsf{volume \: of \: bowl = \frac{2}{3} \times \pi \: r {}^{3} }}$

Radius is half of diameter.

<u>Given</u> -

Diameter = 10cm .

<em>From</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>data</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>derive </em><em>that</em><em> </em><em>the</em><em> </em><em>radius</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>hemispheri</em><em>cal</em><em> </em><em>bowl</em><em> </em><em>is</em><em> </em><em>5</em><em>c</em><em>m</em><em> </em><em>(</em><em>1</em><em>0</em><em>/</em><em>2</em><em>)</em>

Putting the known values into the formula to get the value of the volume of bowl :

$\mathsf{volume = \frac{2}{3} \times \: 3.14 \: \times {5}^{3} }$

= 3.48888cm³

= 3.48cm³

5 0

3 years ago

£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

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

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

<em><u>David gets twice as much as Mark</u></em>

d = 2m ----- eqn 2

<em><u>Mark gets three times as much as Henry</u></em>

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

8 0

4 years ago

Complete the transformation below:

Verdich [7]

Answer:

a c

Step-by-step explanation:

4 0

2 years ago

YOOOOOOOO I FINALLY WAS ABLE TO GET REGISTERED

Agata [3.3K]

Answer:

Ty for the free points lol

8 0

3 years ago

Read 2 more answers

the ratio of the length of a rectangle to its width is 8 to 5. if the longer side of the rectangle is 20 ft, what is the length

expeople1 [14]

8/5 = 20/x
8x = 20(5)
8x = 100
x = 12.5

answer
<span>length of its shorter side = 12.5 ft</span>

8 0

3 years ago

Read 2 more answers