answer for "y is 7 less than the product of 6 and x"

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

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Answer:

Shenika invites 7 friends and each one gets 5 cookies.

= 7*5

= 35

Based on above answer, Shenika will need a total of 35 cookies for all.

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Each box has 12 cookies.

Total cookies = 35

Let the number of boxes be x.

12*x = 35

x = 35/12

x = 2.9

This means she would need 3 boxes.

Step-by-step explanation:

4rhdhhdjddibdjdbdjd

The solution is Option A.

The sum of the three consecutive numbers is given by the equation

A = n + ( n + 1 ) + ( n + 2 ) = 147°

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be n

The value of the second number = n + 1

The value of the third number = ( n + 1 ) + 1

The value of the third number = n + 2

Substituting the values in the equation , we get

Now , the total sum of all the values is A = 147

Hence , the equation is A = n + ( n + 1 )° + ( n + 2 ) = 147

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Answer:

no. i think that is weird-ish.

Step-by-step explanation:

Answer: Emma didnt do rise over run

Step-by-step explanation:

Emma started on the right y-intercept which was -1, but she needed to do rise over run which means she would need to go up 2 and over 1.   Instead, Emma went over 2 and up 1.

Answer:

p < 9

Step-by-step explanation:

5p-13<32

Subtract 13 from both sides.

5p<45

divide 5 from both sides

p < 9

Answer:

idk

Step-by-step explanation:

Answer:

y = 4

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Set up equation

(8y - 2)° + 60° = 90°

Step 2: Solve for y

Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

Answer:

5. -3, -2/3

Step-by-step explanation:

5.

6x-4y=18

-x-6y=7        multiply this equation by 6 both sides

6x-4y=18

-6x-36y=42  add both equations

-4y-36y=18+42 combine like terms

-40y=60 so y = -4/6= -2/3

subtitute y=-2/3 in -x-6y=7

-x-6*(-2)/3=7 solve

-x+4=7 subtract 4 from both sides

-x=7-4

x= -3

8.

substitute y=4x+5 in to the second equation

12x-3(4x+5)=9

12x-12x-15=9

-15=9 is never true so the equation has no solutions

Answer:

1,2, and 3

Step-by-step explanation:

1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.

Answer:

k > 14/3

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Translate

"Three" = 3

"times" = multiplication

"a number k" = k

"is more than" = >

"14" = 14

Step 2: Set up inequality

3k > 14

Step 3: Solve for k

Here we see that any number k greater than 14/3, or 4.666..., will work as a solution.

Answer:

9

Step-by-step explanation:

9 to the second power would be 9 times 9, which equals 81

Answer:

(c) 1

Step-by-step explanation:

[tex] \sin \: A = \cos(2A - 45 \degree) \\ \\ \cos(90 \degree - A )= \cos(2A - 45 \degree) \\ \\ 90 \degree - A = 2A - 45 \degree \\ \\ 90 \degree - 45 \degree = 2A -A \\ \\ 45 \degree = A \\ \\ A = 45 \degree \\ \\ \tan \: A = \tan \: 45 \degree \\ \\ \huge \red{ \boxed{\tan \: A =1}}[/tex]

Answer:

6436

Step-by-step explanation:

because yes

Answer:

slope: -1/5×

y-int. : 6

Answer:

slope is -2/5x and the y intercept is 6

Answer:

her grocery bill was $34

Step-by-step explanation:

x = grocery bill

.10x = 3.40

divide by .10

x= $34.

Answer: 72 grams of tea

Step-by-step explanation:

From the question, we are informed that Yvette uses 6grams of tea leaves to make 24 fluid ounces of tea. This means that for 1 gram of tea leaves, she'll use:

= 24/6

= 4 fluid ounces of tea

Since, 1 gram of tea leaves will be used to make 4 fluid ounces of tea, therefore, the number of grams of tea leaves that will be used to make 288 fluid ounces of tea will be:

= 288/4

= 72 grams of tea

Step-by-step explanation:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Answer:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Step-by-step explanation:

I did this so you can mark the other guy brainliest, its their answer and they deserve all the credit. Make sure to thank them!

This is what the steps look like when we complete the square

x^2 - 6x + 6 = 0

x^2 - 6x = -6

x^2 - 6x + 9 = -6+9

(x-3)^2 = 3

We add 9 to both sides so that we can factor x^2-6x+9 into (x-3)(x-3) = (x-3)^2

To get the 9, we cut the -6 (from -6x) in half to get -6/2 = -3. Then we square that to get (-3)^2 = 9

It might help to look at (a+b)^2 = a^2+2ab+b^2 and note the relationship between 2ab and b^2.

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> [tex]\frac{180-x}{2}+45=115 \\[/tex]

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40

QTS   is an isosceles triangle => ∠TQS = 180 -2x

QRS   is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => [tex]\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.[/tex]

=> x + y = 80

12) EFJ Is an equilateral  triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

<=> x = 15°

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

40 : 30 = x : 63 ⇒ x = (40*63)/30 = 84

y = 59°

Answer:

y = 29 degrees

Step-by-step explanation:

5y + 35 = 180

5y = 145

y = 29

Answer:

I know a bit about Angle Bisectors. (the line that splits an angle into 2 equal angles)

Answer:

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Hope this helps :)

Answer:

(f · g)(x) = 3x³ + 6x² - 5x - 10

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

f(x) = x + 2

g(x) = 3x² - 5

Step 2: Find (f · g)(x)