Estimate the square root of 14 to two decimal places

3.74

Step-by-step explanation:

First, we can place the square root of fourteen between it's two closest square roots:

√9 < √14 < 16

3 < √14 < 4

Now since 14 is closer to 16 than 9, we can do this:

3.9^2 = 15.21

3.8^2 = 14.44

3.7^2 = 13.69

We can see that √14 must be between 13.69, and 14.44, which are 3.7^2 and 3.8^2, so we know that √14 must be between those numbers. If we go even further, then:

3.72^2 = 13.83

3.73^2 = 13.91

3.74^2 = 13.98

3.75^2 = 14.06

We can see that 3.74^2 is the closest to 14, only .02 away from the actual number, so 3.74 is our estimate for the square root of fourteen.

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step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841