All categories

2 years ago

Solve for the literal equation for z: 3z-s=r

Mathematics

1 answer:

Vikentia [17]2 years ago

8 0

Answer:

i think it is. r = -s + 3z could be wrong sorry if it is

You might be interested in

On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)

aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = $(\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})$

OP.Cosθ = 1×Cosθ = $\frac{1}{\sqrt{2}}$

Cosθ = $\frac{1}{\sqrt{2}}$

θ = $\frac{\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integers

Similarly, OP×Sinθ = 1×Sinθ = - $\frac{1}{\sqrt{2}}$

Sinθ = - $\frac{1}{\sqrt{2} }$

θ = $\frac{5\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integer

Common value of θ will be, θ = $\frac{7\pi }{4}$

Option B will be the answer.

5 0

2 years ago

If you bought a set of markers for $2.85 and paid for it with a 5 dollar bill, how much change would you receive?

miss Akunina [59]

3.15 dollar you gonna get back

4 0

2 years ago

Read 2 more answers

Solve for x and then part b) find JL. Have no clue how to go about this

Igoryamba

9514 1404 393

Answer:

x = 4
JL = 16

Step-by-step explanation:

a) You go about this by using the given equation.

Left + Right = Total

JK + KL = JL

(2x -3) + 11 = 4x

8 = 2x . . . . . simplify, subtract 2x

4 = x . . . . . . divide by 2

b) JL = 4x = 4·4

JL = 16

8 0

2 years ago

If the least value of n is 5, which inequality best shows all the possible values of n?

Lostsunrise [7]

N is greater than or equal to 5. (n <u>></u> 5)

5 0

2 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago