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

Answers

Answer 1
sina+cosa=1.2
Squaring on both sides we get,
(Sina)^2+2sina.cosa+(cosa)^2=1.44
(sina)^2+(cosa)^2+2sina.cosa=1.44
1+2sina.cosa=1.44
2sina.cosa=1.44-1
2sina.cosa=0.44
sina.cosa=0.22

Related Questions

Plz help with graph polynomial

Answers

Answer:

(x + 1 ) is a factor

Step-by-step explanation:

Given a polynomial with roots x = a, x = b , then the corresponding factors are

(x - a) and (x - b)

From the graph

The roots are x = - 1 and x = 4 , thus factors are

(x - (- 1)) and (x - 4) , that is

(x + 1) and (x - 4)

(x + 1) is the required factor

Find the product of the polynomials. (2x + 6)(3x − 2)

Answers

Answer:

6x^2 + 14x -12

Step-by-step explanation:

18x + x = 8x - 20x
What kind of problem is this? (one solution, no solution, infinitely/many)

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

its an infinitely/many

Step-by-step explanation:

The measure of an angle is 66° . What is the measure of its complementary angle ?

Answers

Answer:

24º

Step-by-step explanation:

90-66 = 24º. So since complementary angles are 2 angles that add up to 90 degrees. That means that 66 + x = 90 using the information given. Then we use algebra and get that x =24. Therefore the answer is 24º.

Answer:

The supplement of 66° is the angle that when added to 66° forms a straight angle (180° ).

Step-by-step explanation:

A supplementary angle is an angle that equals 180°. So now we know that the two angles added together will give us 180°, we can use this to check at the end.

Let's call the smaller angle x

We also know that the larger number is 66° more than the smaller. This gives us:

x+x+66°=180°.

x is equal to the smaller angle, and the second angle is (x) - the smaller number with an extra 66°, giving us the difference.

Now we can simplify this by subtracting 66° from both sides.

TRY TO SOLVE
1/L , 1/M
are the two roots of the equation : 6X²- 5X+ 1 = 0,
find the equation whose roots are L and M ​

Answers

9514 1404 393

Answer:

  x^2 -5x +6 = 0

Step-by-step explanation:

Perhaps the easiest way to do this is to find the roots of the given equation, then write the equation that has reciprocal roots. The given equation can be factored as ...

  (2x -1)(3x -1) = 0   ⇒   roots 1/2, 1/3

Then the factoring of the equation with reciprocal roots is ...

  (x -2)(x -3) = 0

  x^2 -5x +6 = 0

_____

If p is a root, then (x -p) is a factor. If (ax -b) is a factor, then b/a is a root, the value of x that makes that factor zero.

What is the slope of this graph

Answers

i believe it is 0.5 or 1/2 and negative

Find the slope of the line that passes through:
(-4, 7) and (-6, - 4)

Answers

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{ \frac{11}{2} }}}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A\: and \: B} [/tex]

[tex] \text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}[/tex]

[tex] \text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]

[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex]↣ \: \sf{slope = \frac{ - 4 - 7}{ - 6 - ( - 4)} }[/tex]

[tex] \underline{ \text{Remember}} : [/tex]

[tex] \text{ \: ( + ) * ( + ) = ( + )}[/tex][tex] \text{( + ) \: * \: ( - ) = ( - )}[/tex][tex] \text{( - ) \: * \: ( - ) = ( + )}[/tex][tex] \text{( - ) \: * \: ( + ) = ( - )}[/tex]

[tex] \sf{↣ \: slope \: = \: \frac{ - 4 - 7}{ - 6 + 4}} [/tex]

[tex] \underline{ \text{Remember}}: [/tex]

The positive integers are always added but posses the positive ( + ) sign.The negative integers always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \sf{↣ \: slope = \frac{ - 11}{ - 2} }[/tex]

[tex] \sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }[/tex]

[tex] \sf{↣ \: slope \: = \frac{11}{2} }[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Jenifer bought 6 packages of hotdogs and 8 packages of rolls for $41.50. A package of rolls cost $0.85 less than a package of hotdogs. How much did each package of hotdogs cost?

Answers

Answer:

hotdogs 3.45

rolls 2.60

Step-by-step explanation:

6h + 8r = 41.5

r=h-.85

6h + 8(h-.85)=41.5

6h + 8h - 6.8 = 41.5

14h = 41.5 + 6.8

14h = 48.3

h=48.3/14

h=3.45

r=3.45-.85=2.6

2(x-4)=3x-2
What is the value of x in this equation

Answers

Answer:

2x-8=3x-2

2x-3x=-2+8

-1x=6

X=6/-1

X=-6

So, you want to move any number with a variable to one side and one without a variable to the other
But first, you must distribute the 2(x–4)
2(x–4) –> 2x–8
Next, move the numbers.
2x–8=3x–2
-8=x–2
-6=x
x is 6

DF=55 DE=2x+8 EF=5x-2

what is X?

Answers

Answer:

x=7

Step-by-step explanation:

DF=DE+EF=2x+8+5x-2=55

7x=49

x=7

X=7 DJ gdgshhejshshshsjjsjsudd

??????????????????????????

Answers

Answer:

Seconds in second row: 48Glasses in third row: 11

Step-by-step explanation:

Answer for seconds in second row:

Set up a proportion: [tex]\frac{5}{20} = \frac{12}{x}[/tex]  Cross multiply, then divide: 20 × 12 = 240, 240 ÷ 5 = 48

Answer for glasses in third row:

Set up a proportion: [tex]\frac{5}{20} = \frac{x}{44}[/tex]  Cross multiply, then divide: 44 × 5 = 220, 220 ÷ 20 = 11

I hope this helps!

h(t) = t + 2 + 3; Find h(6)

Answers

If you wanted a step by step:

6 = t in this case so simply plug in 6 to the equation and get 6 + 2 + 3, after adding you’ll have 11.

Answer: h(6) = 11
Answer:

h(6) = 11

Step-by-step explanation:

Hi there !

h(t) = t + 2 + 3

= t + 5

replace t = 6

h(6) = 6 + 5

= 11

Good luck !

seven apples cost five dollars. How many apples can I buy for $8?

Answers

Answer:

11 apples

Step-by-step explanation:

7/5=1.4

1.4x8=11.2

11.2 rounded to 11

If you were to describe a translation of triangle , what information would you need to include in your description?

Answers

you would need to have the information of how it translated, wether it was left or right, or up or down. you would also want the information of how far it translated.

Write an expressions that is equivalent to 6c-2/2 +2c+11 in simplest form

Answers

Answer:

8c + 10

Step-by-step explanation:

Divide 2/2:

6c - 1 + 2c + 11

Then Collect Like Terms:

6c + 2c = 8c

-1 + 11 = 10

Final: 8c + 10

1. If it rains on Friday, then the game is postponed.
how do i write the problem in symbolic form?

Answers

Answer:

"if it rains on friday then the game is postponed"...

Step-by-step explanation:

1) 4x + 3 23

2) x/5 -2 ≤ -6 or 8x + 1 ≥ 41

Answers

Answer:

hi

Step-by-step explanation:

Use the features you determined in part A to graph the line representing the equation 10x + 12y = 240.

Answers

y= -5/6+20 if that’s ur question?

Answer:

Step-by-step explanation:

What is the prime factorization of 154?

2 × 7 × 11
2 × 7 × 13
2 × 5 × 11
2 × 5 × 13

Answers

Answer:

2 x 7 x 11

Step-by-step explanation:

What is the measure of the indicated angle 103° ?

Answers

Answer:

77 degrees.

Step-by-step explanation:

180-103=77

77 degrees is the measure of that temperature 180-103=77

please help i have 15 minutes ​

Answers

Answer:

D

Step-by-step explanation:

my math teacher just help me

i hope its right if its not sorry

Answer:

Step-by-step explanation: the 2 one

Which expressions are equivalent to x+4 : when X=0? Select three options. X 4 3 3 2x2 + 4x WY x2 + 4x​

Answers

Answer:

a,c,d

Step-by-step explanation:

What is 51/5*(-5) ?​

Answers

The answer would be -51

lesson 5 mod1 answer key 7.1

Answers

On second about to do it

A square board was attached to a wall. The board was divided by four squares and each square was colored either black or white. How many possible combinations of such coloring are there, if we cannot rotate the given board? PLEASE HELP QUICK! IM NEW AND I NEED ANSWERES! I HOPE BRAINLY DEOS NOT FAIL ME!

Answers

Answer:

24 combinations

Step-by-step explanation:

For this problem, you use factorials. Factorials are when you multiply every number below it except zero. So like the factorial of 3 or 3! is 3*2*1 is 6.

Factorials are used to figure out how many combinations there are of something. So for you, we have 4 different quadrants so we write that as 4! (! is the sign for factorials.)

By the way, welcome to brainly.  

can I have the answer for c pleaseee ASAP

Answers

Answer:

a) -1/3 b) 3 c) y=3x-10

Step-by-step explanation:

Find the slope of the line passing through the points (-6, 2) and (-6, -1).

Answers

Answer:

3/0

Step-by-step explanation:

to find the slope use rise over run or y-y/x-x, in this case, 2-(-1)/-6-(-6)the negative and the subtraction sign cancel out resulting in something like this: 2+1/-6+6 equaling 3/0

I hope this helps have a nice day

Translate the sentence into an equation.

Seven times the sum of a number and 8 is 6.

Use the variable y for the unknown number.

Answers

Answer:

the answer is 7(y+8)=6 :)

A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark
at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?

With work quickly please!!

Answers

Answer:

2ft

Step-by-step explanation:

Find the difference quotient for f(x) = 3x2 – 12.
_x+_h

Answers

Find f(x+h) and f(x), and plug these values into the difference quotient formula.

6x + 3h

The difference quotient for f(x) = 3x2 – 12 is 6x + 3h

How to determine the difference quotient?

The function is given as:

f(x) = 3x^2 – 12.

Calculate f(x + h)

f(x + h) = 3(x + h)^2 – 12

The difference quotient is then calculated using:

[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]

This gives

[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]

Evaluate the difference

[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]

Expand

[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]

Evaluate the difference

[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]

Evaluate the quotient

f'(x) = 6x + 3h

Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h

Read more about difference quotient at:

https://brainly.com/question/6200731

#SPJ2

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