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2 years ago

Lines a and b are parallel. The slope of line b is * What is the slope of line a?

Mathematics

1 answer:

andrew11 [14]2 years ago

5 0

Answer:

The slope of line a is * also.

Step-by-step explanation:

Parallel lines have the same slope. Whatever number, fraction, variable, symbol is given for the slope of one line, the other must have the same number, fraction, variable, symbol, if they are parallel.

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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

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

$s=15.37$

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

$A=34\ units^2$

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2 years ago

Please help me What is the volume of the prism? Captionless Image 96 cubic cm 14 cubic cm 48 cubic cm None of the above

Vladimir79 [104]

Answer:

64,512

Step-by-step explanation:

First, I multiplied 96 and 14, and I got 1,344.

Then, I multiplied 1,344 and 48, I got 64,512.

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3 years ago

In physics, pressure is the amount of force exerted on a surface per unit area, P = StartFraction F Over A EndFraction The press

Zina [86]

Answer:

Answer is C on ed2020

Step-by-step explanation:

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2 years ago

Read 2 more answers

line j has an equation of y=-x+8. line k includes the point (1,-3) and is perpendicular to line j. what is the equation of line

In-s [12.5K]

Answer:

y = x - 4

Step-by-step explanation:

<u>Use point slope form: (y - y1) = m(x - x1)</u>

m = 1

(y - (-3)) = 1(x - 1)

y + 3 - 3 = x - 1 - 3

y = x - 4

Answer: y = x - 4

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2 years ago

The car travels an average of 40km per litre of fuel, and the cost of fuel is £1.25 per litre. Calculate the cost of the fuel fo

Nuetrik [128]

$31075 \div 40 = 776.875 \\ 776.875 \times 1.25 = 971.09375$
The cost of fuel was £971.09

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3 years ago