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____ [38]
3 years ago
9

Is the square root of 2 between 1.3 and 1.4

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Well I don't know.  Let's see . . .

The square of  1.3  is  1.69 .
The square of  1.4  is  1.96 .

' 2 ' is not between  1.69  and  1.96 , so the square root of  2
is not between  1.3  and  1.4 .

(The square root of  2  is  1.414.... .  That's a little bit past  1.4  .)

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Determine the slope of the line that passes through the points: x−8,0,4,5,y,−33,−1,15,19
Volgvan

Answer:

The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:

(Note: we do not need all of 4 points, 2 points are enough)

-33 = a x (-8) + b

  -1 = a x 0 + b

From 2nd equation, we have:

b = -1

From 1st equation, we have:

b - 8 x a = -33

=> -1 - 8 x a = -33

=> 8 x a = 32

=> a = 4

=>  The equation of line: y = 4a - 1

Hope this helps!

:)

3 0
4 years ago
Find the volume of the cylinder height 10 in base radius 3 in
tino4ka555 [31]

Answer: 282.60in³

Step-by-step explanation:

When calculating the volume of a cylinder, the formula to use is:

= πr²h

where,

π = 3.14

r = radius = 3 in

h = height = 10 in

Volume = πr²h

= 3.14 × 3² × 10

= 282.60

Therefore, the volume of the cylinder is 282.60in³

3 0
3 years ago
Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
mr Goodwill [35]

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

5 0
3 years ago
5.23-2.1 use any strategy
Paraphin [41]

Answer:

3.13

Step-by-step explanation:

6 0
3 years ago
The base of a triangle is 8 cm. What height will make the area greater than 32 cm^2
katen-ka-za [31]
8x>32
x>4
Any height above 4cm, but not equal to 4cm
8 0
3 years ago
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