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3 years ago

Hello I am once again asking for help ASAP

Mathematics

1 answer:

nadezda [96]3 years ago

3 0

Answer:

23.7°

Step-by-step explanation:

To obtain the value of AB ; Use the cosine rule ;

Recall:

c² = a² + b² - 2ab Cos C

c² = 24² + 11² - 2*24*11 Cos75

c² = 576 + 121 - 528 * 0.2588190

c² = 697 - 136.656432

c² = 560.343568

c = sqrt(560.343568)

c = 23.6715

Hence, c = AB = 23.7°

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3 years ago

Find the 76th term of the arithmetic sequence 17 19 21

OLga [1]

Answer:

167

Step-by-step explanation:

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3 years ago

A triangle has two sides of length 0.6 and 1.6. what compound inequality describes the possible lengths for the third side, x?

Leona [35]

Step-by-step explanation:

two sides of length =0.6 and 1.6

lengths for the third side,X =?

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2 years ago

What are the solutions to the system of equations? {−x+y=4y+12=x2+x

monitta

Answer:Since -2 can not equal 0, there is no solution. The lines are parallel. It is an inconsistent system.

Step-by-step explanation:

The first step in solving a system of equations by substitution is solving one of the equations for one of the variables

x - y = 0 Equation 1

x - y + y = 0 +y Add y to each side

x = y Simplify

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x - y - 2 = 0 Equation 2

y - y - 2 = 0 Substitute the value of x from equation 1

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5 0

3 years ago

A recent study claims that business travelers spend an average of $39 per day for meals. A sample of 15 business travelers found

4vir4ik [10]

Answer:

The test statistic value 't' = 3.074

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 15

mean of the Population 'μ' = $39

mean of the sample x⁻ = $42

standard deviation of the sample 's' = $3.78

Degrees of freedom ν = n-1 = 15-1 =14

$t_{\frac{\alpha }{2} } = 1.769$

Null hypothesis : There is no significance difference between the means

H₀ : x⁻ = 'μ'

Alternative hypothesis : There is significance difference between the means

H₀ : x⁻ ≠ 'μ'

Test statistic

$t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }$

$t = \frac{42 -39}{\frac{3.78}{\sqrt{15} } }$

t = 3.074

The test value of t-statistic t = 3.074

The calculated value t = 3.074 > 1.769 at 0.05 level of significance

null hypothesis is rejected

Alternative hypothesis is accepted

Final answer:-

There is significance difference between the means

4 0

3 years ago