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2 years ago

Q5 Q2.) Find a positive angle less than 360degrees that is coterminal with the given angle.

Mathematics

2 answers:

SCORPION-xisa [38]2 years ago

7 0

Coterminal angle is an angle which has the same initial and terminal side of the original angle. It can be found by adding or subtracting 360deg.

A positive angle less than 360 that is coterminal with -85 is = -85 + 360
= 275 degree

White raven [17]2 years ago

4 0

Angle must be positive so adding 360 to -85deg,

360 - 85 = 275deg.

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How does the speed of one car relative to the other compare with speed of the car relative to the ground?

yulyashka [42]

(n-1)-3 = (3n)/2 This is the equation used to represent the information given

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2 years ago

What is the explict formula for the arithmetic sequence -7.5,-9,-10.5,-12

elena-14-01-66 [18.8K]

Answer:

x = -7.5 - 1.5(n−1)

Step-by-step explanation:

the explicit formula for the arithmetic sequence has the form

x = a + d(n−1)

a is the first term and d is the common difference

The given arithmetic sequence is

-7.5,-9,-10.5,-12

The first term is -7.5

d = common difference = -9 - (-7.5) = -1.5

∴ x = -7.5 - 1.5(n−1)

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3 years ago

R = sec(θ) − 2cos(θ), where -π/2 < θ < π/2

Alex

Answer:

y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

x = r·cos(θ)

y = r·sin(θ)

x² +y² = r²

r = sec(θ) -2cos(θ)

r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²

(x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor

y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)

$\boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}$

The attached graph shows the equivalence of the polar and rectangular forms.

4 0

2 years ago

Can someone explain? And answer?

alexandr402 [8]

Answer:

$25.00

Step-by-step explanation:

You already know that $85 is an additional fee added to the monthly fees.

So, you first have to subtract 85 from $685 to get the total amount of monthly fees paid over 2 years.

685-85= 600

So, you can conclude that $600 is the total amount of monthly fees paid.

Now, you want to divide 600 by (the number of months in 2 years) to get the amount of monthly fees.

Since there is 24 months in 2 years you do:

600/ 24 which equals 25.

In conclusion, you can find that the monthly fee is $25.00.

6 0

3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

2 years ago