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4 years ago

What does diameter means

Mathematics

2 answers:

enyata [817]4 years ago

6 0

Diameter is the distance from edge to edge of a circle through the center point. Radius is half the diameter.

Dafna1 [17]4 years ago

5 0

The distance from one side of the circle to the other

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Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

never [62]

<u>Answer-</u>

$\boxed{\boxed{x=90^{\circ},270^{\circ}}}$

<u>Solution-</u>

The given equation-

$\Rightarrow 2\sin^2 x-\cos^2 x-2=0$

$\sin^2 x+\cos^2 x=1\ \ \Rightarrow \cos^2 x=1-\sin^2 x$

Putting this,

$\Rightarrow 2\sin^2 x-(1-\sin^2 x)-2=0$

$\Rightarrow 2\sin^2 x-1+\sin^2 x-2=0$

$\Rightarrow 3\sin^2 x-3=0$

$\Rightarrow 3\sin^2 x=3$

$\Rightarrow \sin^2 x=1$

$\Rightarrow \sin x=\sqrt1$

$\Rightarrow \sin x=\pm 1$

$\Rightarrow \sin x=1,\ \sin x=-1$

$\Rightarrow x=\sin^{-1}(1),\ x=\sin^{-1}(-1)$

$\Rightarrow x=90^{\circ}+n360^{\circ},\ x=270^{\circ}+n360^{\circ}$

Where n=0, 1, 2, ......

As given 0° ≤ x < 360°, so putting n = 0

$\Rightarrow x=90^{\circ},\ x=270^{\circ}$

3 0

4 years ago

Choose the correct solution and graph for the inequality.

Maslowich

D. x is greater than or equal to -8

Explanation:

The inequality given by the problem is:

$-\frac{x}{4} \leq 2$

In order to solve it, we must do the following steps:

- Multiply by 4 on both sides of the inequality:

$-\frac{x}{4} \cdot 4 \leq 2 \cdot 4\\-x \leq 8$

- Change the sign of both sides: when doing this step, we must reverse the sign of the inequality:

$-x \leq 8\\x \geq -8$

So, the correct option is

D. x is greater than or equal to -8

6 0

4 years ago

What is an equation of the line, in point-slope form, that passes through the given point and has the given slope?

MAXImum [283]

Answer:

equation of line:

y = mx + b....(1)

slope = m = 2/3

y-intercept = b = ?

putting the point (5,6) and slope(2/3) in equation(1)

6 = (2/3)(5) + b

6 = 10/3 + b

b = 6 - 10/3

b = (18 - 10)/3

b = 8/3

putting value of b and m in equation(1)

y = (2/3)x + 8/3

Step-by-step explanation:

5 0

3 years ago

The graph of a function f(x)=5to the power of x -5 contains the point (2,y) what is the value of y

Mila [183]

I believe this this the function.

$f(x) = {5}^{x - 5}$

then

$f(x) = {5}^{2 - 5}$

then

$f(x) = {5}^{ - 3}$

then

$y = \frac{1}{125}$

3 0

3 years ago

Jake, Kim and Lee share some money in the ratio 1 : 3 : 6.

Scrat [10]

Answer:

£27.00

Step-by-step explanation:

3 × £9 = £27 amount Lee gets

3 0

3 years ago