Find all solutions to the equation 5sin(3pix)+8=4 in the interval 0 < x < 2

Mathematics

1 answer:

Lina20 [59]3 years ago

3 0

Answer:

First one

Step-by-step explanation:

5sin(3pix)+8=4

5sin(3pix) = -4

sin(3pi x) = -0.8

Basic angle: sin^-1(0.8) = 0.927295218

3pi x = pi+0.927295218, 2pi-0.927295218

3pi x = 4.068887872, 5.355890089, 4.068887872 + 2pi, 5.355890089 + 2pi, 4.068887872 + 4pi, 5.355890089 + 4pi,

x = above values/3pi

x = 0.43217, 0.568, 1.0984, 1.235, 1.765, 1.9016

You might be interested in

2(n - 1) + 4n = 2(3n - 1)

Sloan [31]

2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n -2
6n - 2 = 6n - 2 (equal)
6n - 6n = 2 - 2
0 = 0

whatever value you put into the place of n, you'll get 0 = 0

3 0

3 years ago

Roger bought two plots of land for $120000. He sold the first plot and profited 15%. He sold the second plot and lost 10%. His t

Oxana [17]

X + y = 120000
0.15x - 0.10y = 5500

Multiply both sides of bottom by 100 to remove decimals

x + y = 120000
15x - 10y = 550000

Multiply both sides of top by 10

10x + 10y = 1200000
15x - 10y = 550000

Add the two

25x = 1750000
x = 70000
He paid $70,000 for the property that made a profit, and paid $50,000 for the property that lost value.

6 0

3 years ago

Read 2 more answers

Will give brainiest and thx for the help

irinina [24]

C would be the correct answer I hope you have an amazing day!

7 0

2 years ago

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

ratelena [41]

So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

3 0

3 years ago

What are the solutions to the equation 3x2 + 15x = 18?

jok3333 [9.3K]

$3x {}^{2} + 15x = 18$