If Sin ( x + 3° ) = Cos 40° , find x​

Answer:

x = -5

y = 1

Step-by-step explanation:

-4(-5)-1=24

25-1=24

24=24

Answer: x= -6, y= 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

Unless you know calculus, the only way to solve this is by completing the square.

Solution

y = 4x^2 + bx - 2

y = 4(x^2 + b/4 ) - 2

y = 4(x^2 + b/4 + (1/2b/4)^2 ) - 2 - 4*(b/8)^2

y = 4(x^2 + b/4 + (b/8)^2 ) -  2 - b^2/16

y = 4(x + b/8)^2 - 2 - b^2/16

Now what you want to happen is to give b/8 a value of 1 so that when x is put in -1 you get 0 for  what is inside the brackets.  

b/8 = 1

b = 8

y = 4(x + 1)^2 - 2 - (8)^2 / 16

y = 4(x + 2)^2 - 2 - 4

y = 4(x + 1)^2 - 6

The vertex is at (-1, - 6)

The axis of symmetry  is x = - 1

Note

This could have been done a lot shorter just by realizing that the number inside the brackets had to be + 1 as in (x + 1). But then you would not have been able to know the minimum value for y which is - 6

Answer:

4

Step-by-step explanation:

7x 5w 23t 3

Answer:

angle c is 52 degrees

Step-by-step explanation:

92+36=128

180-128=52

i hope that's right...

Answer:

52

Step-by-step explanation:

Answer: Sorry

Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(

Answer:

x+65=180(being cointerior angle)

x=180-65

x=115

Answer:

6

Step-by-step explanation:

convert 1.25 meters to feet

1 meter = 3 feet

1.25 meters = 1.25 x 3 = 3.75 feet

Number of gifts he can warp = 25 feet / 3.75 = 6.6

Answer:

d ≤ -0.5

Step-by-step explanation:

Multiply each term by -1

Answer:

x = 5.

y = -2

Step-by-step explanation:

y = x - 7

2x + y = 8

substitute the first equation into the second

2x + (x -7) = 8

2x + x - 7 = 8

3x - 7 = 8

3x = 8 + 7

3x/3 = 15/3

x = 5.

substitute 5 in the second equation

y = 5 - 7

y = -2

Answer:

x = 3.69 feet

11.69 x 13.69 feet

Step-by-step explanation:

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Answer:

x = 3.69 feet

11.69 x 13.69 feet

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Answer:

35

Step-by-step explanation:

Answer:

the answer is 35.

Step-by-step explanation:

Answer:

i attatched a picture of how it should look

Step-by-step explanation:

Answer:

Step-by-step explanation:

can you show a picture?

Answer:

The Geometric mean of two numbers is the square root of their product.

Given numbers are 12,20.

Geometric mean = √(12*20)

= √240.

= 15.49.

= 15.5.

The geometric mean of 12 and 20 is 4√15.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 3 + 3x + 4y = 7 is an expression.

We have,

The geometric mean of a and b is √(ab).

Now,

a = 12 and b = 20

so,

The geometric mean of 12 and 20.

= √(12 x 20)

= √240

= 4√15

Thus,

The geometric mean of 12 and 20 is 4√15.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

161

Step-by-step explanation:

Answer:

Yes it is tangent because it is touching a certain point

Step-by-step explanation:

Heres a pic i found of an example and it looks exactly like that one

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.

  5² + 12² = 25 +144 = 169 = 13²

These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.

  Yes, AB is a tangent.

Answer:

D. 60, 60, 60

Step-by-step explanation:

In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!

The angle measurements found in an equilateral triangle are 60°, 60°, 60°

An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.

We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.

For a triangle with equal sides, it implies that each length will possess;

= 180°/3

= 60° each.

Learn more about equilateral triangles here:

https://brainly.com/question/17264112

Answer:

37.6

Step-by-step explanation:

A to B - just count up the numbers, it's 10

B to C - just count up the numbers, it's 12

A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6

And just add them together 10+12+15.6 to get 37.6

Answer:

y=10+5x

Step-by-step explanation:

Have a great day

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

                      = (sin2B + cos2B)/[(cosB)(sinB)]

                       = 1/[(cosB)(sinB)]

                        = (1/cosB)(1/sinB)

                        = (secB)(cscB)

Answer:

93

Step-by-step explanation:

Answer:

240 ounces

Step-by-step explanation:

y'know you could just look this up lol

Answer:

240 oz

Multiply pounds by 16

15 × 16 = 240

Answer:

√ 21 + 79

= 10

Answer:

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

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

BD=AC

E is the midpoint of both lines, so BE=CE

Answer:

4

Step-by-step explanation:

Answer:

336 ft²

Step-by-step explanation:

The figure is composed of a rectangle and a right triangle

A of rectangle = length × breadth = 24 × 12 = 288 ft²

A of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 32 - 24 = 8 ft and h = 12 , then

A of Δ = [tex]\frac{1}{2}[/tex] × 8 × 12 = 4 × 12 = 48 ft²

composite area = 288 + 48 = 336 ft²