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Vesna [10]
3 years ago
12

A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of mc020-1.jpg meters. The virus has a diame

ter of mc020-2.jpg meters. Which statement accurately compares the sizes of the specimens?
Mathematics
1 answer:
Reil [10]3 years ago
6 0
You can divide the two values A = diameter of bacterium B = diameter of virus A/B = (10^(-6))/(10^(-7)) A/B = 10^(-6-(-7)) A/B = 10^(-6+7) A/B = 10^(1) A/B = 10 Since the ratio of the two diameters is 10, this means that the diameter of the bacterium is 10 times greater than that of the virus. 
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Miguel volunteers at a library. He needs to arrange 576 books on shelves for a book sale. There are 16 empty shelves. Miguel put
Sergeeva-Olga [200]

Answer:

The equal number of  books that is arranged on 16 empty shelves is 36 .

Step-by-step explanation:

Given as :

The total number of books Miguel need to arrange = 576

The total number of empty shelves = 16

Let The total number of books arrange on each shelves = x

So , According to question

The total number of books Miguel need to arrange = The total number of empty shelves × The total number of books arrange on each shelves

I.e 576 =  16 × x

Or, x = \frac{576}{16}

∴   x = 36

Hence The equal number of  books that is arranged on 16 empty shelves is 36 .  Answer

6 0
3 years ago
What is the slope of (2,8) and (1,-3)
icang [17]

Answer:

Step-by-step explanation:

m= y2 - y1/x2 - x1

m=  -3 - 8 /1 - 2

m=-11/-1

m=11

8 0
3 years ago
Read 2 more answers
If you answer I will mark you Brainliest!
Olin [163]

Answer:

divide the figure into two parts.

area of triangle = 1/2×base×height

area of triangle = 1/2×3×3

area pf triangle = 4.5 units²

area of square = side²

area of square = 3²

area of square = 9unit²

5 0
2 years ago
Read 2 more answers
A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
2 years ago
They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
alex41 [277]

Answer:

A. Area of ABCD = 240 cm^{2}

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A.  Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

                                                     = 24 x 10

                                                     = 240 cm^{2}

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

BD^{2} = BC^{2} + DC^{2}

       = 10^{2} + 24^{2}

       = 676

BD = \sqrt{676}

     = 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

                                         =   60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

     = 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

                                                                 = 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

                                                                 = 50 cm

       

7 0
3 years ago
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