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dybincka [34]
3 years ago
9

Honors Pre-Calc anybody? (or trig).

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

  sec(θ) = -5/2

Step-by-step explanation:

It can be helpful to draw a triangle with sides that produce the given ratio. See the attachment. Then the third side of the triangle can be found using the Pythagorean theorem, if necessary. Finally, the ratio for the desired trig function can be determined.

  sec = hypotenuse/adjacent

  sec(θ) = 5/-2 = -5/2

__

If you don't want to do that, or if you have various trig identities memorized, you can use the appropriate trig identity.

  sin² + cos² = 1

so ...

  sec² = 1/cos² = 1/(1 -sin²)

  sec = 1/√(1 -sin²)

Since the tangent is positive, this is a third-quadrant angle. The secant will be negative.

  sec(θ) = -1/√(1 -(21/25)) = -√(25/4) . . . . . filling in the given value for sin(θ)

  sec(θ) = -5/2

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Write the equation in slope-intercept form of the line that has a slope of 2 and contains
mina [271]

Equation in slope-intercept form is y = 2x - 6

Step-by-step explanation:

  • Step 1: Given slope of the line, m = 2. Form an equation y = mx + b

⇒ y = 2x + b ---- (1)

  • Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.

⇒ 2 = 2 × 4 + b = 8 + b

⇒ b = -6

  • Step 3: Form the slope-intercept equation.

⇒ y = 2x - 6

8 0
3 years ago
Sin(20)=x/670 ????????
mash [69]

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

6 0
2 years ago
2d(3*6)=48y when y=1/4
vaieri [72.5K]

Answer: d = 1/3

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8 0
2 years ago
A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e
Pie

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

(x-a)^{2} + (y -b)^{2} = r^{2}

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

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(x-a)^{2} + (y -b)^{2} = r^{2}

(x-4)^{2} + (y -9)^{2} = 3^{2}

On  observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

6 0
1 year ago
I need to know the answer ASAP thank you
ElenaW [278]

Answer:

Step-by-step explanation:

3 0
3 years ago
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