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2 years ago

Find the value of x and y please

Mathematics

2 answers:

Oksanka [162]2 years ago

8 0

Answer:

$x = 7( \sqrt{2} + \sqrt{6} ) \\ y = 14 \sqrt{3}$

Elden [556K]2 years ago

3 0

Answer:

The answer to your question is x = $7\sqrt{2}$ and y = $14\sqrt{3}$

Step-by-step explanation:

To find x and y use trigonometric functions

- Find x

To find x use the trigonometric function cosine

cosine Ф = adjacent side/hypotenuse

- Solve for adjacent side (x)

x = hypotenuse x cos Ф

- Substitution

x = 14 $\sqrt{2}$ cos 60

Simplification

x = 14 $\sqrt{2}$ (0.5)

x = 7 $\sqrt{2}$

- Find y

-Find the length of the opposite side of the small triangle

Opposite side = sine Ф x hypotenuse

Opposite side = 14 $\sqrt{2}$ x sin 60

Opposte side = 14 $\sqrt{2}$ ( $\sqrt{3}$ /2)

Opposite side = 7 $\sqrt{6}$

- Find the length of y

y = Opposite side/sin Ф

y = $7\sqrt{6}$ / $\sqrt{2} /2$

y = 14 $\sqrt{3}$

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Answer:

a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

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b) p - value 0.00001

The p - value 0.00001 < 0.01

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Step-by-step explanation:

Step(i):-

Given mean of the population = 10

Sample size 'n'= 35

Mean of the sample x⁻ = 14.44

Standard deviation of the sample 's' = 4.45

Level of significance ∝ = 0.01

Step(ii):-

Null Hypothesis H₀ : μ >10

Alternative Hypothesis : H₁ : μ < 10

Test statistic

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

$t = \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }$

t = 5.903

Degrees of freedom = n-1 = 35-1 = 34

tabulated value t₀.₀₁,₃₄ = 2.572

The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

p- value :

p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

The two linear equation

x + y = 19.... Equation 1

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9 Apples and 11 Oranges

Step-by-step explanation:

Nedra purchased apples and oranges at the grocery store. which two linear equations can be used to find the number of apples and oranges?

Let the number of apples be represented by x

The number of oranges by represented by y.

Hence,

Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit,

Hence:

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