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3 years ago

Analyze the diagram below and complete the instructions that follow. Find Sin

Mathematics

2 answers:

jenyasd209 [6]3 years ago

6 0

For this case we have by definition, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. Then, according to the figure we have:

$Sin (A) = \frac {8} {10}$

Simplifying we have to:

$Sin (A) = \frac {4} {5}$

Answer:

Option B

slavikrds [6]3 years ago

3 0

Sin is the measure of the opposite leg over the hypotenuse from the given angle:

opposite/hypotenuse

We must find the sin of Angle A, and in order to do so we must find the opposite leg and hypotenuse:

opposite leg/hypotenuse

8/10

Simplify:

8/10 = 4/5

Hence, the sin of <A is 4/5

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Assume: c = 40 + 0.8(y - t) g = 10 i = 20 t = 0, where t are taxes. (a) calculate y at equilibrium. (b) calculate c, i, and g at

Sonja [21]

(a). To calculate Y at equilibrium

Y = C + I + G

Y = 40 + 0.8(Y – 0 + 10 + 20)

Y = 350

(b). To calculate C, I and G at Equilibrium

C = 40 + 0.8 Y

Since Y = 350

C = 40 + 0.8(350)

C = 40 + 280

C = 320

I = 20

G = 10

(c).To find equilibrium Y

Given,

EX = 4 + 3EP/P

IM = 8 + 0.1 (Y - T) - 2EP/P

E = 3

P = 1

P = 1.5

Y = 170

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3 years ago

What equation in slope-intercept form represents the line that passes through

gregori [183]

Answer:

So, equation in slope-intercept form that represents the line that passes through the points (1,3) and (2,5) is y=2x+1

Step-by-step explanation:

We need to write equation in slope intercept form that represents the line that passes through the points (1,3) and (2,5)

The standard equation of slope-intercept form is: y= mx+b

where m is the slope of the lines and b is the y-intercept.

To make the equation we need to find slope (m) and y-intercept (b)

Find Slope

The formula to find slope m is: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

We have $x_{1}=1, x_{2}=2, y_{1}=3\ and \ y_{2}=5$

Putting values in the formula to find slope

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{5-3}{2-1}\\m=\frac{2}{1}\\m=2$

So, value of slope m is m=2

Find y-intercept

Using formula of slope-intercept formula we can find b

y=mx+b

Using point (1,3) (where x=1 ,y=3) and slope m=2

$3=2(1)+b\\3=2+b\\b=3-2\\b=1$

So, value of y-intercept b is: b=1

Required equation in Slope Intercept Form

We have slope m = 2 and y-intercept b=1

$y=mx+b\\y=2x+1$

So, equation in slope-intercept form that represents the line that passes through the points (1,3) and (2,5) is y=2x+1

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3 years ago