1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
My name is Ann [436]
3 years ago
9

Find all solutions to the equation.

Mathematics
1 answer:
Bess [88]3 years ago
3 0

If the equation is

7\sin^2x-14\sin x+2=-5

then rewrite the equation as

7\sin^2x-14\sin x+7=0

Divide boths sides by 7:

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

Since x^2-2x+1=(x-1)^2, we can factorize this as

(\sin x-1)^2=0

Now solve for <em>x </em>:

\sin x-1=0

\sin x=1

\implies\boxed{x=\dfrac\pi2+2n\pi}

where <em>n</em> is any integer.

If you meant sin(2<em>x</em>) instead, I'm not sure there's a simple way to get a solution...

You might be interested in
Z = 19i + 14 what is the imaginary part<br>​
Ne4ueva [31]

Answer:

The imaginary part is:  z = 19

Step-by-step explanation:

For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.

5 0
3 years ago
A rectangular lawn is 2 m longer than it is wide.
PtichkaEL [24]

Let's breadth be x

  • Length be x+2

ATQ

\\ \sf\longmapsto x(x+2)=21

\\ \sf\longmapsto x^2+2x=21

  • Use completing the square method

\\ \sf\longmapsto 4(x^2+2x)=4(21)

\\ \sf\longmapsto 4x^2+8x=84

\\ \sf\longmapsto (2x)^2+2(2x)(2)=84

\\ \sf\longmapsto (2x)^2+2(2x)(2)+2^2=2^2+84

\\ \sf\longmapsto (2x+2)^2=88

\\ \sf\longmapsto 2x+2=\pm\sqrt{88}

  • As it's dimensions we will take positive

\\ \sf\longmapsto 2x+2\approx 9.7

\\ \sf\longmapsto 2x=9.7-2=7.7

\\ \sf\longmapsto x=3.8

  • x+2=3.8+2=5.8

Now

\\ \sf\longmapsto Perimeter=2(L+B)

\\ \sf\longmapsto perimeter=2(3.8+5.8)

\\ \sf\longmapsto perimeter=2(9.6)

\\ \sf\longmapsto Perimeter=19.2m

  • Length of 1 strip=13m

Total strips

\\ \sf\longmapsto \dfrac{19.2}{13}

\\ \sf\longmapsto 1.47strips

  • She needs 2 strips
3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!<br> Find AB and M
DENIUS [597]

Answer:

Step-by-step explanation:

triangle ABC is an equilateral so all angles and sides are equal to each other

AB = 6

triangle DEF is an isosceles so two of its angles are equal to each other

a triangles angles add up to 180°

to find the measure of these angles we’ll write this equation:

x + x + 40 = 180

and solve for x

2x + 40 = 180

2x = 140

x = 70°

so mF is 70°

7 0
3 years ago
Which statements are true for the given quadrilaterals? Choose all answers that are correct. A. All squares are parallelograms.
Jlenok [28]
B all rectangles are squares
5 0
3 years ago
Is 0.4 bigger than 0.25
sattari [20]

Answer: Yes.


Step-by-step explanation: Think of it as money. Whats bigger? $0.40 or $0.25? 0.4 is bigger.


5 0
3 years ago
Read 2 more answers
Other questions:
  • Mr.Johnson weighs 135 pounds. Her husband weighs 80 kilogram. How many fewer pounds does Ms.Johnson weigh than her husband?
    7·1 answer
  • Two -thirds of jack's sports cards are baseball cards. If he has 93 cards, how many are baseball cards?
    15·2 answers
  • 0.8342 turned into <br> a fraction
    14·2 answers
  • How to divide 36 into 540 using partial quotients
    10·1 answer
  • What is the slope of Y= x +5
    13·2 answers
  • Consider the first 2 terms of the sequence -6, 18,...
    6·1 answer
  • (3x+14)° measurement in degrees a.20.00° b.40.25° c.42.50° d.74.00°​
    15·1 answer
  • Find the slope of the line passing through the points (-3,3) and (4,3)
    12·1 answer
  • Simplify the expression under the square root sign​
    14·1 answer
  • I uuh need some help
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!