Which of the following sets of ordered pairs is a function?

Write the trigonometric expression in terms of sine and cosine, and then simplify.

katrin2010 [14]

Hello,

tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]

3 0

3 years ago

Y-3=2(x-3) y+5=2(x+1)

bonufazy [111]

Answer:

The same lines (answer)

Step-by-step explanation:

The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,

y-3 = 2(x-3) .......(1) ; y + 5 = 2(x+1) ...........(2)

y = 2x - 6 + 3 ; y = 2x + 2 - 5

y = 2x -3 ; y = 2x - 3

Comparing with slope intercept form we have,

m1 = 2 ; m2 = 2

c1 = -3 ; c2 = -3

If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)

8 0

3 years ago

Does somebody knows how to do this problem?

pshichka [43]

Answer:

Angle Q is 51°

Angle R is 96°

(x=5 and the exterior angle is 84°)

Step-by-step explanation:

Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.

17x - 1 = 33 + 10x + 1

Get all the x's on one side of the equation.

17x-10x - 1 = 33 + 10x-10x+1

7x - 1 = 33 + 1

7x - 1 = 34 add 1 to both sides

7x = 35 divide by 7

7x/7 = 35/7

x = 5

Not finished ! Find Angle Q

10x+1 = 10(5)+1= 51°

Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°

33° + 51° + R = 180°

84° + R = 180°

R = 96°

6 0

2 years ago

A quarter weighs the same as two pennies. If a pound of quarters is worth $25, then how much is a pound of pennies worth?

vekshin1

Answer:

$2

Step by Step:

Four quarters is one dollar

Four quarters is 8 pennies

Multiply 8 by 25 (25 being the value of the quarters)

25 cents is times four is one dollar

.25x4=1, 25x4=100, 100x.25=25

2x4=8 8x25=200

6 0

2 years ago

Write the formula for the volume of a square prism, V = s-h, in terms of h. Then find the height h of a square prism with volume

vodomira [7]

Answer:

$h = \frac{3V}{s^2}$

height (h) = 5 cm

Step-by-step explanation:

Volume of prism in terms of h (height):

$V = \frac{1}{3}s^2h$

$V = \frac{s^2h}{3}$

Multiply both sides by 3

$V*3 = \frac{s^2h}{3}*3$

$3V = s^2h$

Divide both sides by s^2

$\frac{3V}{s^2} = \frac{s^2h}{s^2}$

$\frac{3V}{s^2} = h$

$h = \frac{3V}{s^2}$

Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:

$h = \frac{3(60)}{6^2}$

$h = \frac{180}{36}$

$h = 5$

Height = 5 cm

6 0

3 years ago