Helpppppppppppp what is 0

Determine the graph of the polar equation r = 25/10-25 sin(theta).

ludmilkaskok [199]

Answer:

graph A

Step-by-step explanation:

A graphing calculator can plot this function for you.

If you divide numerator and denominator by 25, you get ...

r = 1/(0.4 -sin(θ))

This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.

The graph of the hyperbola is the appropriate choice.

7 0

3 years ago

find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis

stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2. Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3. Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5. The y-intercept is (0, 5).

Next we find the x-intercept. We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0). This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5). Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."

3 0

3 years ago

A. Directions: Find the surface of the following. Round your answer to nearest

Taya2010 [7]

Answer:

1. S.A of a cone = 565.56 cm².

2. S.A of a cone = 276.496 cm².

3. S.A of a sphere = 128.696 cm².

4. S.A of a sphere = 113.112 cm².

Step-by-step explanation:

Given the following data;

1. Radius, r = 15cm

Slant height, l = 12cm

Mathematically, the surface area of a cone is given by the formula;

Surface area of a cone = πrl

Substituting into the formula, we have;

S.A of a cone = 3.142 * 15 * 12

S.A of a cone = 3.142 * 180

S.A of a cone = 565.56 cm²

2. Radius, r = 8cm

Slant height, l = 11cm

Surface area of a cone = πrl

S.A of a cone = 3.142 * 8 * 11

S.A of a cone = 3.142 * 88

S.A of a cone = 276.496 cm²

3. Radius, r = 3.2 cm

Mathematically, the surface area of a sphere is given by the formula;

Surface area of a sphere = 4πr²

Substituting into the formula, we have;

S.A of a sphere = 4 * 3.142 * 3.2²

S.A of a sphere = 4 * 3.142 * 10.24

S.A of a sphere = 40.96 * 3.142

S.A of a sphere = 128.696 cm²

4. Diameter, d = 6cm

Radius, r = diameter/2 = 6/2 = 3 cm

Surface area of a sphere = 4πr²

S.A of a sphere = 4 * 3.142 * 3²

S.A of a sphere = 4 * 3.142 * 9

S.A of a sphere = 36 * 3.142

S.A of a sphere = 113.112 cm²

4 0

3 years ago

Colleen divided integer a by −2 and got 6. Then she divided 6 by integer b and got −3. Find the quotient of integer a and intege

Rudiy27

Answer:

6

Step-by-step explanation:

Integer a has to be -12, and integer b has to be -2, and when -12 is divided by -2 you get an answer of 6

6 0

4 years ago

2. The formula determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a

ad-work [718]

M=log I / S
if M=6, 6=logI/S and then 10^6=I/S, so we get I=S x 10^6, we assume that
A=S x 10^6
if M=8, so, 8=logI/S and then 10^8=I/S, so we get I= S x 10^8=A=S x 10^6x10^2
since A=S x 10^6, so I= A x10^2, an earthquake with a magnitude of 8 is 10² stronger than an earthquake with a magnitude of 6.

4 0

4 years ago