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3 years ago

Write the trigonometry ratio for the triangle below.

Mathematics

2 answers:

faltersainse [42]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

(a)

cosB = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{a}{c}$

(b)

tanA = $\frac{opposite}{adjacent}$ = $\frac{BC}{AC}$ = $\frac{a}{b}$

(c)

sinB = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{b}{c}$

Ludmilka [50]3 years ago

5 0

Answer:

cos B = a/c

tan A = a/b

sin B = b/c.

Step-by-step explanation:

Sin = opposite / hypotenuse

cos = adjacent/ hypotenuse

tan = opposite/adjacent.

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3 years ago

What is the definition of marginal utility? A. The average utility from consuming a good or service multiplied by the number of

Ilya [14]

Answer: Option 'E' is correct.

Step-by-step explanation:

Marginal utility is the addition utility derived from each successive unit of a particular good.

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3 years ago

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al

Naddika [18.5K]

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

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3 years ago

Nathan bought a cd for his friend. The length and width of the cd case is 4 18⁄25 inches. What is the area of the cd case?

ale4655 [162]

Answer:

Hence the area of CD bought by Nathan is <em>22.2784 square inches.</em>

Step-by-step explanation:

The length and width of a CD bought by Nathan is $4\frac{18}{25}=\dfrac{118}{25}$ inches.

As CD have the same length and width this means it will be of the shape of a square.

Hence, the area of CD is given by:

Area of CD=length×width

= $4\dfrac{18}{25}\times4\dfrac{18}{25}$

= $\dfrac{118}{25}\times\dfrac{118}{25}$

= $\dfrac{118\times118}{25\times25}$

= $\dfrac{13924}{625}$

= $22.2784$

Hence the area of CD bought by Nathan is 22.2784 square inches.

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