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3 years ago

For each triangle below find the side that marked with the letter.

Mathematics

1 answer:

Flura [38]3 years ago

6 0

Answer:

All to 1 decimal place

3) a = 11.4

4) b = 11.2

5) c = 4.5

6) e = 6.4

7) f = 30.8

8) g = 67.9

Step-by-step explanation:

Step-by-step explanation:

3) cos(18) = a/12

12xcos(18) = a

a = 11.4

4) tan(25) = b/24

b = 24xtan(25)

b = 11.2

5) cos(51) = c/7.2

c = 7.2xcos(51)

c = 4.5

6) sin(28) = e/13.6

e = 13.6 x sin(28)

e = 6.4

7) cos(47) = 21/f

f = 21/cos(47)

f = 30.8

8) sin(33) = 37/g

g = 37/sin(37)

g = 67.9

All to 1 decimal place

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Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

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3 years ago

19. James has a desk job and would like to become more fit, so he purchases a

Neko [114]

Answer:

The correct answer is option (C)-0.245 = 2.160(0.205)

Step-by-step explanation:

Solution

Given that:

The slope = - 0.245

The size sample = n = 15

The standard error = 0.205

The confidence level = 95

The Significance level= α = (100- 95)% = 0.05

Now,

The freedom of degree = n-2 = 15 -2= 13

Thus,

the critical value = t* = 2.16

By applying Excel = [TINV (0.05, 13)]

The Margin of error is = t* (standard error)

=2.16 *0.205

= 0.4428

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3 years ago