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3 years ago

Angle 0 lies in the second quadrant and sin 0 = 3/5 cos= coy =

1 answer:

3 0

Consider the right triangle ABC with legs AB=4, AC=3 and hypotenuse BC=5. Angle B has
$\sin B=\frac{opposite}{hypotenuse} = \frac{3}{5}$ and
$\cos B = \frac{adjacent}{hypotenuse} = \frac{4}{5}$ .

Since O lies in second quadrant $\cos O\ \textless \ 0$ and
$\cos O= -\cos B =- \frac{4}{5}$ .
Answer: $\cos O=- \frac{4}{5}$ .

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Juliette [100K]

The figure consists of three objects, a rectangle, a trapezoid, a triangle

Find the area of the rectangle
The rectangle is 16 in long and 9 in wide
a₁ = l × w
a₁ = 16 × 9
a₁ = 144 in²

Find the area of the trapezoid
The base of trapezoid is 31 in and 16 in, and the height is 35 - 20 = 15 in.
a₂ = 1/2 × (a + b) × h
a₂ = 1/2 × (31 + 16) × 15
a₂ = 1/2 × 47 × 15
a₂ = 352.5 in²

Find the area of the triangle
The base of the triangle is 31 in, the height is 20 in
a₃ = 1/2 × b × h
a₃ = 1/2 × 31 × 20
a₃ = 310 in²

Add the area together
a = a₁ + a₂ + a₃
a = 144 + 352.5 + 310
a = 806.5

The answer is 806.5 in²

4 0

2 years ago

Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))

horsena [70]

$\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\$

$\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]$

6 0

2 years ago

2x + y ≤ 2

Ganezh [65]

The graph is attached with the answer.

<h3>What is an Inequality ?</h3>

When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.

The given Inequality is 2x + y ≤ 2

in slope intercept form can be written as

y ≤ -2x +2 , here slope is -2 and intercept is 2

As an equation it will be

y = -2x +2

x y

0 , 2

1 , 0

2 -2

The graph is plotted

The area is shaded and the test for the origin is applied , and it lies in the shaded region.

To know more about Inequality

brainly.com/question/20383699

#SPJ1

4 0

2 years ago

What is the answer to -5 + 1/2?

Tema [17]

Answer:

-4 1/2 or -4.5 or -9/2

Step-by-step explanation:

3 0

2 years ago

A mural inspired by photo graph measures 107 inches by 180 inches.the scale factor is 12.what are the dimensions of the photogra

laila [671]

$\bf \cfrac{mural}{photo}\qquad \cfrac{12}{1}\implies \stackrel{mural}{12}:\stackrel{photo}{1}\qquad \qquad \cfrac{\stackrel{width}{107}}{w}=\cfrac{12}{1}\implies \cfrac{107\cdot 1}{12}=w
\\\\\\
\cfrac{\stackrel{height}{180}}{h}=\cfrac{12}{1}\implies \cfrac{180\cdot 1}{12}=h$

5 0

3 years ago