If sin α + cos α =1.2, find sin α · cos α .

Answer:

x=42

Your welcome!

Answer:

x=42

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/7*x+5/14*x-(39)=0

Simplify 5/14

((4/7• x) +  (5/14 • x)) -  39  = 0

Simplify 4/7

  4         5x    

 ((— • x) +  ——) -  39  = 0

   7         14    

Find the Least Common Multiple

     The left denominator is :       7

     The right denominator is :       14

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 1 1 1

2 0 1 1

Product of all

Prime Factors  7 14 14

     Least Common Multiple:

     14

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 1

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      4x • 2

  ——————————————————  =   ——————

        L.C.M               14  

  R. Mult. • R. Num.      5x

  ——————————————————  =   ——

        L.C.M             14

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x • 2 + 5x     13x

———————————  =  ———

    14          14

 13x    

 ——— -  39  = 0

 14    

 Subtracting a whole from a fraction

Rewrite the whole as a fraction using  14  as the denominator :

         39     39 • 14

   39 =  ——  =  ———————

         1        14  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

13x - (39 • 14)     13x - 546

———————————————  =  —————————

      14               14    

 Pull out like factors :

  13x - 546  =   13 • (x - 42)

13 • (x - 42)

 —————————————  = 0

      14  

 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 13•(x-42)

 ————————— • 14 = 0 • 14

    14    

Now, on the left hand side, the  14  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  13  •  (x-42)  = 0

Solve :    13   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-42 = 0

Add  42  to both sides of the equation :

                     x = 42

Please Give me Brainliest

Answer:

No

Step-by-step explanation:

If the x value does not repeat than it's a funtction so therefore so therefore it t's not a function cause the variable of repeats

Answer:

y = -5/7x - 32/7

Step-by-step explanation:

Perpendicular slopes are "opposite reciprocals."

7/5 goes to 5/7, then -5/7 (if you don't get it you can comment)

So the perpendicular equation line: y = -5/7x + b (you don't know the y-intercept yet)

Substitute (2, -6) because that perpendicular line is going through it.

-6 = -5/7(2) + b

-6 = -10/7 + b

-42/7 = -10/7 + b

-32/7 = b

Perpendicular line equation: -5/7x -32/7

Answer:

number is 10

Step-by-step explanation:

let n be the number, then 4 more than the number is n + 4, thus

n(n + 4) = 140 , that is

n² + 4n = 140 ( subtract 140 from both sides )

n² + 4n - 140 = 0

Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)

The factors are + 14 and - 10 , since

14 × - 10 = - 140 and 14 - 10 = + 4 , thus

(n + 14)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 10 = 0 ⇒ n = 10

Since n is a whole number the the required number is 10

Given:

Total fund = $500

cost of each trip = $80

To find:

The an algebraic expression that represents the money the club has after going on field  trips.

Solution:

Let x be the number of field trips.

Cost of 1 field trip = $80

Cost of x field trip = $80x

We have, Total fund = $500.

So, the money the club has after going on field  trips is

[tex]\text{Remaining money}=500-80x[/tex]

Therefore, the money the club has after going on field  trips is $(500-80x).

Answer:i need more explaining

Step-by-step explanation:

Answer: 52 students were in the bus.

Step-by-step explanation: First, you start with the equation:

9x+4=472

Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses.

So you would subtract 4 from both sides and get: 9x=468

Finally, you would divide both sides by 9 and get 52 students on each bus

Answer:

The values of x and y are x = 95 and y = 25

Step-by-step explanation:

If a quadrilateral is inscribed in a circle which means all its vertices lie on the circumference of the circle, then it is called a cyclic quadrilateral.

The properties of the cyclic quadrilateral

In the given figure

∵ The four vertices of the quadrilateral QRTU lie on the circle

∴ QRTU is a cyclic quadrilateral

∵ ∠ PQU is an exterior angle of quadrilateral QRTU at Q

∵ ∠RTU is the opposite interior angle to it

→ By using the 2nd property above

∴ m∠PQU = m∠RTU

∵ m∠PQU = 95°

∵ m∠RTU = x°

∴ x = 95

∵ ∠QRT and ∠QUT are opposite angles in the cyclic quadrilateral

→ By using the 1st property above

∴ m∠QRT + m∠QUT = 180° ⇒ supplementary angles

∵ m∠QRT = 110°

∴ 110 + m∠QUT = 180°

→ Subtract 110 from both sides

∴ m∠QUT = 70°

In ΔSQU

∵ ∠ PQU is an exterior angle to the Δ T vertex Q

→ That means its measure equal the sum of the measures of the

   two opposite interior angles QSU and QUS

∴ m∠PQU = m∠QSU + m∠QUS

∵ m∠PQU = 95°

∵ m∠QSU = y°

∵ m∠QUS = 70°

∴ 95 = y + 70

→ Subtract 70 from both sides

∴ 25 = y

∴ y = 25

Answer:

10

Step-by-step explanation:

Answer:

Lets in say 900.06 ____ the blank is represented as x:

x =  50

x = 45003

x = 900.060

Hope this helps! Please mark Brainliest!

Answer:

The answer is

[tex] \huge y = - \frac{1}{4} x - 6[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is ( 8 , - 8) and slope -1/4

We have

[tex]y + 8 = - \frac{1}{4} (x - 8) \\ y + 8 = - \frac{1}{4} x + 2 \\ y = - \frac{1}{4} x + 2 - 8[/tex]

We have the final answer as

[tex]y = - \frac{1}{4} x - 6 \\ [/tex]

Hope this helps you

Answer:

1.1161×10¹

Step-by-step explanation:

Answer:

387.6. So, the closest whole number would be 388 times larger

Step-by-step explanation:

I divided the U.S. pop by the Columbus pop and got the answer: 387.6. So, the closest whole number would be 388 times larger

Answer:

The population of the United States is 387.87 times larger than the population of Columbus, Ohio.

Step-by-step explanation:

8.25 times 100000 = 825,000

3.2 times 100000000 = 320,000,000

320,000,000 divided by 825,000 = 387.87

Answer:

565+9x=250.......

Step-by-step explanation:

um i think this might be it

Answer:

he worked 35 hours

equation: p= $9x + 250

p is pay

x is hours worked

Step-by-step explanation:

we know that the pay was 565 so plug that into p: 565= 9x + 250

subtract 250 from both side to isolate the variable: 315= 9x

divide both sides by 9: x= 35

Answer:

w=36

Step-by-step explanation:

to get the perimeter you add all sides.

w+w+2w+6+2w+6=228

6w+12=228

6w=216

w=36

length= 2(36) +6

length= 78

width= 36

If it's wrong, I apologize honestly! Answer: 91

Step-by-step explanation:

2w+6= 2(?)+6

If the perimeter is 288, then we have to find what's the closest to it. So let's try 91. 2 ×91= 182 , so it's going to be 182 +6, which equals 188. Remember if the w is 100 the w in the width is going to be 100 also, so 188 + 100= 288 glad I could help!

5^3 and that evaluated is 125

Step-by-step explanation:

slope is

[tex] \frac{1}{2} \\ [/tex]

equation of that line is

[tex]y = \frac{1}{2} x + 5 \\ [/tex]

and y intercepts that line at point (0,5). x=0 and y=5

Answer:

Step-by-step explanation:

girl im confused too:/

Answer:

y=3/5,6

Step-by-step explanation:

Split the second term in 5{y}^{2}-33y+185y2−33y+18 into two terms.

5{y}^{2}-3y-30y+18=05y2−3y−30y+18=0

2

Factor out common terms in the first two terms, then in the last two terms.

y(5y-3)-6(5y-3)=0y(5y−3)−6(5y−3)=0

3

Factor out the common term 5y-35y−3.

(5y-3)(y-6)=0(5y−3)(y−6)=0

4



Solve for yy.

y=\frac{3}{5},6y=53,6

Answer:

y=3/5,6

Step-by-step explanation:

(5y-3)(y-6)=0

5y-3=0 y-6=0

y=3/5 y=6

Find all the values that make it true

Hope this helps! :)

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

Answer:

A

Step-by-step explanation:

Answer:

Here you gooooo

Step-by-step explanation:

Answer:

khan

Step-by-step explanation:

Answer:

1. Definition of parallelogram

Step-by-step explanation:

1. Definition of parallelogram

2. Angle Congruence Postulate

3. m<2 + m<3 =180

4. m<1 + m<3 =180

5. Definition of supplementary

∠1 is supplementary to ∠3 by the Definition of supplementary angles

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Prove: Angle 1 is supplementary to angle 3.

Given information as; ABCD is a parallelogram.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = the exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

m<1 + m<3 = 180                            Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

Therefore, we can conclude that ∠1 is supplementary to ∠3 by the Definition of supplementary angles.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ2

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

[tex](m < 1 )+ (m < 2 )= 180[/tex]

[tex]5x + x + 24 = 180[/tex]

Combine like terms

[tex]6x + 24 = 180[/tex]

Isolate the variable

[tex]6x = 156[/tex]

[tex]x = 26[/tex]

Plug in 26 for x in both of the individual angle equations.

[tex]m < 1 = 5x[/tex]

[tex] = 5(26)[/tex]

[tex] = 130[/tex]

[tex]m < 2 = x - 24[/tex]

[tex] = (26) + 24[/tex]

[tex] = 50[/tex]

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

Answer:

Hats cost $15, T-Shirts cost $25, Jackets cost $45

If this was helpful please mark brainliest, have a great day!

Answer:

1 = 137

2 = 43

3 = 43

4 = 137

Step-by-step explanation:

for the first line, do (180-137 = 43)

then, 43 would be corresponding angle to 2 - making them equal

2 would be vertically opposite to 3, making them equal

137 and 1 are corresponding- making them equal

4 is vertically opposite to 1 - making them equal

Answer:

Answer:

Use Mixed Numbers 3/6 ÷ 4

This is the same as division with fractions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

-

8

Answer:

9.72 seconds

Step-by-step explanation:

9.72 seconds ( approx )

Step-by-step explanation:

Since, the equation that shows the height of the rocket from the ground,

Where,

x = time after launch, in seconds,

When the rocket hits the ground,

y = 0,

i.e.

By the quadratic formula,

∵ Time can not be negative,

So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.

The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given height of tower y in terms of time is seconds x

y = -16x² + 240x + 115

The height of the tower when the rocket hit the ground will be zero.

Thus, y = 0

0 = -16x² + 240x + 115

16x² - 240x - 115=0

By quadratic equation formula,

x = [-(-240) ± √((-240)²+4×16×(-115))]/ 2×16

x = [240 ± 254.8725]/32

x = 15.46 and x = -0.46 since time can be never negative thus 15.46 seconds will be correct.

15.46 to the nearest hundred is 15.

Hence "The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ5