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3 years ago

8

Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 2

2 inches long in the drawing, how long is the actual counter?

1 answer:

aliina [53]3 years ago

8 0

Answer:

11x 5 =55-22=33

Step by step explanation

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dusya [7]

How many three-fourths are in 2? 2 complete sets of three-fourths can be made and 2 of the 3 pieces need to make \frac34 are left over, so we have another \frac23 of a three-fourths. and we can see that there are 2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

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4 years ago

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In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if

zalisa [80]

Question Continuation:

if (a) the books can be arranged in any order?

(b) the mathematics books must be together and the novels must be together?

Answer:

(a) 3628800 ways

(b) 17280 ways

Step-by-step explanation:

Given

$Novels = 5$

$Mathematics = 4$

$Biology = 1$

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

$N = Mathematics + Novel + Biology$

$N = 4+5+1$

$N = 10$

The number of arrangement is:

$10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1$

$10! = 3628800\ ways$

(b):

If the mathematics books are together, there are 4! different arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

The mathematics books as 1
The novels as 1
The biology book

This can be arranged in 3! ways.

Total number of arrangement is:

$Total = 4! * 5! * 3!$

$Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1$

$Total = 17280\ ways$

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3 years ago

Plz help ASPA and explain plz

Elis [28]

90° is the correct answer

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4 years ago

What is the volume of a hemisphere with a diameter of 47.5 m, rounded to the nearest tenth of a cubic meter?

Lunna [17]

Answer:

28043.3 $m^{3}$

Step-by-step explanation:

Formula for volume of a hemisphere can be termed as:

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

where $r$ is the radius of hemisphere

Please refer to the figure attached for the sample figure of a hemisphere.

We are given here, diameter of hemisphere = 47.5 m

Relation between diameter and radius is given as :

$r = \dfrac{d}{2}$

where, $r$ is the radius and

$d$ is the diameter.

So, $r = \dfrac{47.5}{2}\ m$

Volume is:

$V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3$

Hence, volume of given hemisphere is 28043.3 $m^{3}$ .

8 0

3 years ago