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stiv31 [10]
3 years ago
13

A grain of sand has a mass of 2.6 × 10–3 gram. A grain of salt has a mass of 6.5 × 10–2 gram. How many times greater is the mass

of the grain of salt than the mass of the grain of sand?
A
2.5
B
3.9
C
25
D
39
Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

C

Step-by-step explanation:

2.6 x10^-3= .0026

6.5 x10^-2=.065

.065/.0026=25

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A surveyor in a canyon takes measurements and draws the diagram shown.
Fiesta28 [93]

Answer:

\approx 118.4

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

c^2=a^2+b^2-2abcos(C), where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

c^2=115^2+178^2-2(115)(178)cos(41)

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3 years ago
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3 years ago
If y varies inversely as x and y= 2/5 when x= 2, find y when x= 1
Alik [6]

Answer:

y = 4/5

Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y  =  \frac{k}{x}  \\ (k = constant \: of \: proportionality) \\  \therefore \: xy = k...(1) \\ plug \: y =  \frac{2}{5}  \: and \: x = 2 \: in \: (1) \\  2\times \frac{2}{5}   = k \\  \implies \: k =  \frac{4}{5}  \\ substituting \: k=  \frac{4}{5}  \: in \: (1) \\ xy =  \frac{4}{5} ..(2) \\ this \: i s \: the \: equation \: of \: variation \\ plug \: x = 1 \: in \: (2) \\ 1 \times y =  \frac{4}{5}  \\  \huge \red{ \boxed{y =   \frac{4}{5}  }}

3 0
3 years ago
In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than
Ludmilka [50]

Answer:

Number of sent mail = 36

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Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

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Dividing both sides by 3

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Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

7 0
2 years ago
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