2 years ago

Find the solutions of each equation on the interval [0,2pi) sin(3pi/2+ x)+sin(3pi/2 +x)= -2

Mathematics

1 answer:

user100 [1]2 years ago

3 0

Answer:

x=0

Step-by-step explanation:

You can combine the equation to get 2sin(3/2 +x) = -2

divide both sides by 2 and you get the equation equal to -1. sin is equal to -1 when the value inside is 3/2 so this is the answer.

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Solve x^2 − 4x = 14.

DENIUS [597]

Minus 14 from both sides
x²-4x-14=0
use quadratic formula because we cant factor

for
ax²+bx+c=0
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

so
1x²-4x-14=0
a=1
b=-4
c=-14

$x= \frac{-(-4)+/- \sqrt{(-4)^2-4(1)(-14)} }{2(1)}$
$x= \frac{4+/- \sqrt{16+56} }{2}$
$x= \frac{4+/- \sqrt{72} }{2}$
$x= \frac{4+/- 6\sqrt{2} }{2}$
$x= 2+/- 3\sqrt{2}$

the solutions are
x=2+√3 and
x=2-√3

3 0

3 years ago

If the volume for 3-D pyramid A is 400 cm3 and the volume for 3-D pyramid B is 800 cm3, how many times bigger is the volume of p

dangina [55]

2 times bigger. 800/400=2

3 0

4 years ago

Joseph invests money in an account paying a simple interest of 2.9% per year. If he invests $60 and no money will be added or re

777dan777 [17]

Hi there! I’m here to help you out with your question.

It costs Joseph 2.9% per year in interest.

This is a one step process, do 60 (money he invests) x .029 (interest) and you should get $1.74.

Add $1.74 + $60, and your answer is $61.74.

Thank you and I hope this helped you.

3 0

3 years ago

the members of the school orchestra agree to buy at least 250 tickets for an outside concert. They buy 20 fewer lawn tickets tha

katovenus [111]

Answer:

135 seats

Step-by-step explanation:

Let number of balcony seats = y

Let number of lawn seats = x

x+20=y --- (i)

x+y=250 --- (ii)

Substituting for Y in (ii)

2x+20=250

x=115 seats (Lawn)

y= 135 seats (Balcony)

4 0

3 years ago

Answer ASAP John is thinking of a number. He gives the following 3 clues. ``My number has 125 as a factor. My number is a multip

miskamm [114]

Answer:

1500

Step-by-step explanation:

List of multiples of 125 between 800 and 2000: 875,1000,1125,1250,1375,1500,1625,1750,1875,2000

Of those only 1500 is divisible by 30: 1500 / 30 = 50

8 0

4 years ago