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2 years ago

Find the measure of a negative angle coterminal with 60

Mathematics

1 answer:

lys-0071 [83]2 years ago

5 0

Answer:

Coterminal angle of 60° (π / 3): 420°, 780°, -300°, -660°

Step-by-step explanation:

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On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negativ

oksian1 [2.3K]

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

$A=\frac{1}{2} bh$

b is the base of the triangle

h is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units$

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

$A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\$

Substituting the coordinate points:

$A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2$

Recall that:

$A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units$

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: brainly.com/question/17335144

8 0

2 years ago

Which line is the graph of y= -2x+2? D B A C

abruzzese [7]

The answer is b because in y=mx+c, m is the gradient and c is the y-intercept. since the y-intercept is 2, we can safely discard d as an option. when a gradient is -2, it is a negative graph which means a and c is out. so, you’re left with b!

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3 years ago

Read 2 more answers

Fie A(-1,2) B(3,-1) C(4,-1)

Iteru [2.4K]

do you mind rephrasing it in english

will

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3 years ago

Read 2 more answers

How do I do this help

tatuchka [14]

6÷40.5= $6.75 per hour
8÷54= $6.75 per hour
y= 6.75x

5 0

3 years ago

Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3

Likurg_2 [28]

Answer:

1) $L(y)=\frac{2}{s^{3}}$

2) $L(y)=\frac{6}{s^{4}}$

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of $t^n$ is given by,

$L(t^n)=\frac{n!}{s^{n+1}}$

1) $y=t^2$

Laplace of y,

$L(y)=L(t^2)$ here n=2

$L(y)=\frac{2!}{s^{2+1}}$

$L(y)=\frac{2}{s^{3}}$

2) $y=t^3$

Laplace of y,

$L(y)=L(t^3)$ here n=3

$L(y)=\frac{3!}{s^{3+1}}$

$L(y)=\frac{3\times 2}{s^{4}}$

$L(y)=\frac{6}{s^{4}}$

5 0

3 years ago