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Feliz [49]
3 years ago
13

Find the lengths of all four sides : P (2,2), Q (1,-3),R (-4,2),S (-3,7)

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0
PQ = sqrt [(-3-2)^2 + (1-2)^2] =  sqrt 26 =  5.1
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En un distrito, hay una calle peatonal. El municipio decidió colocar faroles, bancas y sembrar árboles para mejorar el ornamento
olga_2 [115]

Answer:

El lugar donde la linterna, los bancos y los árboles se encuentran nuevamente está a 300 metros del punto de inicio.

Step-by-step explanation:

Los parámetros dados son;

El espacio entre las linternas = 30 metros.

El espacio entre los bancos = 20 metros.

El espacio entre los árboles = 50 metros.

Por lo tanto, tenemos, la ubicación donde la linterna, los bancos y los árboles se encuentran nuevamente, está dada por el mínimo común múltiplo de cada una de sus distancias de separación individuales como sigue;

      2   divide   30   20   50 {}  

{}      <u>5  divide    15    10    25</u>

{}                           3      2    5

El LCM = 2 × 5 × 3 × 2 × 5 = 300

El lugar donde la linterna, los bancos y los árboles se vuelven a encontrar está a 300 metros del punto de inicio.

6 0
2 years ago
An office room is 12 ft by 10 ft with a door that is 30 inches wide. How many feet of baseboard are needed to go around the room
Lina20 [59]
Draw a diagram to illustrate the problem as shown below.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.

Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.

The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft

Answer:
41.5 feet of baseboard.

7 0
3 years ago
One of the three economic questions deals with deciding
drek231 [11]
One of the three economic questions deals with deciding what goods and services must be produced from available resources.

Here are the Three Main Economic Questions
1) Who consumes the goods and services produced in society?
2) What goods and services must be produced in society?
3) How should goods and services be produced in society?

<span>These questions are very important because it deals on how available resources are allocated to produce essential goods and services demanded by consumer
</span>
3 0
3 years ago
Read 2 more answers
The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim
nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in <em>scientific notation</em>.

Let a number be  a*10^b and another be  c*10^d, when we divide, we will follow the rule shown below:

\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})

Now, we use the information given to find the ratio:

\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

0.1833*10^4=1833

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

7 0
3 years ago
Read 2 more answers
Sole for |p+8| over 2 =5
Lubov Fominskaja [6]

Answer:

p =2                     p=-18

Step-by-step explanation:

|p+8|

-------------- = 5

2

Multiply each side by 2

|p+8|

-------------*2 = 5*2

2

|p+8|  =10

There is a positive and a negative solution

p+8=10         p+8=-10

Subtract 8 from each side

p+8-8=10-8         p+8-8=-10-8

p =2                     p=-18



7 0
3 years ago
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