15. Find the value of x.
(68 - x)
3x

Answer:

35

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the Product to Sum Identity:  cos A · cos B = [cos (A - B) + cos (A + B)]/2

Use the Odd Function Identity: cos (-A) = - cos (A)

Proof LHS → RHS:

[tex]\text{LHS:}\qquad \qquad 2\cos \bigg(\dfrac{11\pi}{16}\bigg)\cdot \cos \bigg(\dfrac{\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

[tex]\text{Prod to Sum:}\quad \dfrac{2\bigg[\cos \bigg(\frac{(11\pi -\pi)}{16}\bigg)+\cos \bigg(\frac{(11\pi+\pi}{16}\bigg)\bigg]}{2}+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{10\pi}{16}\bigg)+\cos \bigg(\dfrac{12\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{5\pi}{8}\bigg)+\cos \bigg(\dfrac{3\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                   [tex]=\cos \bigg(\dfrac{-3\pi}{8}\bigg)+\cos \bigg(\dfrac{-\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

[tex]\text{Odd Functions:}\quad -\cos \bigg(\dfrac{3\pi}{8}\bigg)-\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]

                          = 0

LHS = RHS   [tex]\checkmark[/tex]

Answer: b = 6/5

..........................

When a positive sign is considered then the value of x is -4 and when a negative sign is considered then the value of x is -14.

Simplification is to make something easier to do or understand and to make something less complicated.

The equatiuon is (x + 9)² = 25.

Take square root on both sides, then we have

(x + 9) = ±5

For positive signs, we have

x + 9 = 5

     x = -4

For negative signs, we have

x + 9 = -5

     x = -14

More about the simplification link is given below.

https://brainly.com/question/12616840

Answer:

1. -4

2. -14

Step-by-step explanation:

Edg 2022

Answer:

y = 4x + 8

Step-by-step explanation:

A linear formula always follows by y = mx + c, where m is the gradient and c is the y-intercept or constant.

Since you know that the slope is 4, all you need to do is find the y-intercept (constant)

y = 4x + c

Sub in the points (-4, -8)

-8 = 4(-4) + c

-8 + 16 = c

c = 8

Hence, y = 4x + 8

Answer:

160 m/s

Step-by-step explanation:

vi= 10m/s

a= 5om/s*2

t=3 second

vf=?

frist step: find s(distance)

s=vit+1/2 at*2=10m/s x3s +0.5 x50m/s*2 (3s)*2 =30m+225m=255m

second : find vf

s=(vf+vi)/2 xt

vf=2s/t- vi=2(255m)/3s -10 m/s=170 m/s-10m/s=160m/s

Therefore , the final velocity of the car is 160m/s

Answer:

Substitute the given values of x into the given equation to find the values of y:

when x = -8

[tex]y=\dfrac54(-8)+1=-9[/tex]

Point = (-8, -9)

when x = -4

[tex]y=\dfrac54(-4)+1=-4[/tex]

Point = (-4, -4)

when x = 0

[tex]y=\dfrac54(0)+1=1[/tex]

Point = (0, 1)

when x = 4

[tex]y=\dfrac54(4)+1=6[/tex]

Point = (4, 6)

when x = 8

[tex]y=\dfrac54(8)+1=11[/tex]

Point = (8, 11)

Answer:

3

Step-by-step explanation:

Answer:

x = 80°

Step-by-step explanation:

x + 36° + 76° + 74° + 94° = 360°

x + 280° = 360°

x = 360° - 280°

x = 80°

Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

-----------------------

11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

Step-by-step explanation:

Simplify x in the inequality.

Divide both -2x and 4 by -2:

[tex]\frac{-2x}{-2} < \frac{4}{-2}[/tex]

Answer:

[tex]x > -2[/tex]

The sign has switched since the terms have been divided by a negative number.

Answer:

Step-by-step explanation:

The solution is to isolate the term x from one side of the equation.

First, multiply by -1 from both sides.

(-2x)(-1)>(4)(-1)

Solve.

2x>-4

Then, divide by 2 from both sides.

2x/2>-4/2

Solve.

-4/2=-2

x>-2

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer: 8

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

All the integers are positive.

Let the zeros of a polynomial be α and β.

Here,

Therefore to find the equation of polynomial we have to do sum of zeros of the polynomial and the product of zeros of the polynomial.

Sum of the zeros of polynomial are :-

[tex] \sf \alpha + \beta = \frac{3}{2} + \frac{2}{5} \\ \\ : \rightarrow \: \frac{15 + 4}{10} = \frac{19}{10} [/tex]

Product of the zeros of polynomial are:-

[tex] \sf \: \alpha \beta = \frac{3}{2} \times \frac{2}{5} \\ \\ : \rightarrow \cancel\frac{6}{10} = \frac{3}{5} [/tex]

We know,

p(x) = x² - (α +β)x + αβ

putting values we get

p(x) = x² - 19/10x + 3/5

Hence, This is the required polynomial.

373.45 is the answer.

iAnswer:

Step-by-step explanation:

I can’t tell you the answer because then it will be cheating but this will help

First add all sides then u will get an equation solve it

Answer:

18

Step-by-step explanation:

we know that

[the area rectangular cookie sheet]=30*50--------> 1500 cm²

let's assume that each biscuit is inscribed in a square of 8 cm side

in the side of 30 cm can be placed -----> 30/8--------> 3.75----->  3

in the side of 50 cm can be placed -----> 50/8--------> 6.25----->  6

The maximum number of complete biscuits is 3*6------> 18 biscuits

the answer is 18 biscuit

Answer:

We know that

[the area rectangular cookie sheet]=30*50--------> 1500 cm²

let's assume that each biscuit is inscribed in a square of 8 cm side

in the side of 30 cm can be placed -----> 30/8--------> 3.75----->  3

in the side of 50 cm can be placed -----> 50/8--------> 6.25----->  6

The maximum number of complete biscuits is 3*6------> 18 biscuits

the answer is 18 biscuits

Step-by-step explanation: some other guy said it

do u mean the point A?

if so point A coordinates are (-5:-8)

Answer:

it's the first one your correct

Answer:

20 min

Step-by-step explanation:

Answer:

Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

he bought 12.5

Answer:

879,200

Step-by-step explanation:

to get the answer we first must get the circumference of the wheel then we must multiply it by 10,000.  28 times 3.14(pie) is equal to 87.92. 87.92 times 10,000 is 879,200.

Note: I rounded pie.

Answer:

9 and 3 are the second pair because 9×3=27 and9×9=81

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Let the fraction representing total number of apples = 120 = 1

We are told in the question:

1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles

Hence:

1 = 1/5 + 1/3 + 3/10 + Sprinkles

Sprinkles = 1 - (1/5 + 1/3 + 3/10)

LCM = 30

1 - (6 + 10 +9/30)

1 - 25/30

1 - 5/6

Fraction of caramel apples covered sprinkles = 1/6

The number caramel apples covered with sprinkles = 1/6 of 120 caramel apples

= 1/6 × 120

= 20 caramel apples are covered with sprinkles

yes IF

20² = 11² + 18²

20² = 400

and

11² + 18² = 121 + 324 = 445

so NOT a right triangle

Answer:

x = 3

Step-by-step explanation:

not sure what the term is, but AB is equal to BC because AD = DC

using this, you can make the following equation:

5x - 2 = 7x - 8

subtract 5x from both sides

-2 = 7x - 5x - 8

-2 = 2x - 8

add 8 to both sides

-2 + 8 = 2x

6 = 2x

divide both sides by 2

3 = x