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2 years ago

PLZ NEED HELP QUICK PLZ

Mathematics

1 answer:

scZoUnD [109]2 years ago

3 0

Answer:

Slope = 3

Step-by-step explanation:

For a proportional relationship, the slope of the line is simply y/x.

So using any given pair of values from the table, say (1, 3), the slope is:

y/x = 3/1

Slope = 3

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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

3 years ago

8(−5d−9)−3(−6d+10) in simplest terms

professor190 [17]

Answer:

-22d -102

Step-by-step explanation:

8(−5d−9)−3(−6d+10)

Distribute

-40d -72 +18d -30

Combine like terms

-40d +18d -72 - 30

-22d -102

7 0

3 years ago

Read 2 more answers

Find the center and the radius of the circle with the equation x^2 -2x+y^2 +4y +1

steposvetlana [31]

Answer:

Center = ( 1,-2)

radius = 2

6 0

3 years ago

What is 4x-4y/2=x+2 in slope intercept form?

Alla [95]

Answer:

The equation would be y = 3/2x - 1

Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

-4y/2=-3x+2 ----> Multiply both sides by 2

-4y = -6x + 4 -----> Divide by -4

y = 3/2x - 1

3 0

3 years ago

Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

dusya [7]

Answer:

slope: 1
equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (2 -0)/(-1 -(-3)) = 2/2

m = 1 . . . . . the slope of the line is 1

The value of the y-intercept can be found by solving the slope-intercept equation for b.

y = mx +b

b = y -mx

b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

y = x +3

4 0

2 years ago