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Oduvanchick [21]
3 years ago
14

What are the values of r and a1

Mathematics
2 answers:
Aloiza [94]3 years ago
6 0

Answer:

a1 = .45 and r = 8

Step-by-step explanation:

This is of the form

sum a1 r^ k-1

a1 = .45 and r = 8

Aleonysh [2.5K]3 years ago
4 0
The first one I think
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if a theatre holds 1,200 people, and sells 2/3 of its seats, how many tickets does it sell? 500 600 750 800 900
Scrat [10]
<span>The correct answer is: 800

Explanation:
If the threatre holds 1200 people, it means that there are total 1200 seats in the theatre.

2/3 of the total seats are sold; mathematically we can write it as:

(Total-number-of-seats) * (Fraction-of-seats-sold)
1200 * 2/3 = 800

Hence there are 800 tickets are sold.</span>
3 0
3 years ago
HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
3 years ago
A cone-shaped popcorn cup has a radius of 5 centimeters and a height of 9 centimeters. How many cubic centimeters of popcorn can
guajiro [1.7K]

Answer:

The cup can hold 235.5 cubic cm of popcorn.

Step-by-step explanation:

A cone shaped popcorn cup has a radius of 5 cm and a height of 9 cm.

Use 3.14 as an approximation for pi.

Now, to find cubic cm of popcorn the cup can hold.

Radius (r)= 5 cm

Height (h)= 9 cm

\pi= 3.14 (as per question).

So, to get the cubic cm of popcorn the cup can hold we put formula of volume:

Volume= \pirx^{2} h\frac{x}{y} 3

Volume= 3.14 x 5x^{2} × 9\frac{x}{y}3

Volume= 3x14 x 25 x 3

Volume= 235.5 cubic cm.

5 0
3 years ago
Two less than the product of 8 and a number is 8
Eva8 [605]

Answer:

x=1.25

Step-by-step explanation:

Let us replace the number with the variable "x". You will then get this equation:

8x-2=8

Move the -2 to 8 and you would get the equation:

8x=8+2

Simplify:

8x=10

Simplify:

x=10/8

You would then get the answer "x=1.25"

I hope this helps :)

3 0
3 years ago
2/9 of students in a school are in 6th grade, how many 6th graders are there if the school has 90 students?
dedylja [7]
20 of the students would be 6th graders, hope that helps!
3 0
3 years ago
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