Find the value of x if the area of the trapezoid is 54.

Answer:

A pythagorean identity means that for any angle [tex]\theta[/tex], [tex]sin^2\theta+cos^2\theta=1[/tex].

This also means [tex]1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.[/tex] The symbol, theta ([tex]\theta[/tex]) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is [tex]cos\theta[/tex], and the height (side perpendicular to the base, making a right angle) is [tex]sin\theta[/tex]. The angle theta is opposite the [tex]sin\theta[/tex] side.

Step-by-step explanation:

The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.

Answer:

The Pythagorean identities are

[tex]sin^{2} x + cos^{2} x = 1\\1+ tan^{2} x = sec^{2} x\\1 + cot^{2} x = csc^{2} x\\where\\csc x = \frac{1}{sinx} \\cot x = \frac{cosx}{sinx} or \frac{1}{tanx} \\tan x = \frac{1}{cotx} or \frac{sinx}{cosx} \\sec x = \frac{1}{cotx}[/tex]

No matter what the value of x (the angle degree amount) is, sin²x+cos²x is equal to 1

When given a side length of a right triangle you will be able to use one of these identities to find the angle amount

Answer:

Its ginger bread man because Sara ate the bread and it was gingery

Answer:

m=-2 and b=3

Step-by-step explanation:

One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.

The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.

A. 3x² +6

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

area equation is pi*r^2. divide by pi then square root. so the answer is the square root of 40

Answer:

√40 centimeters

Step-by-step explanation:

Given :

Area of circle = 40π cm²

===========================================================

Formula for area of a circle :

Area = πr²

===============================================================

Equating the given term and formula to find r :

⇒ 40π = πr²

⇒ r² = 40

⇒ r = √40 centimeters

Answer:

Step-by-step explanation:

Answer:

see the attachment!

i hope this can help you.

Answer:  C - 15.81

Step-by-step explanation:

pythagorean theorum: a^2 + b^2 = c^2

13^2 + 9^2 = c^2

169 + 81 = c^2

c^2 = 250

root both sides

c = 15.81

Answer:

A = 51

Step-by-step explanation:

I'm not sure if it is correct but here is my working

180=41+2a+a-14

180=3a+27

153=3a

51=a

Answer:

a=51

Explaination-

ABC + ACB + BAC = 180°

(a-14)° + 2a + 41° = 180°

a=51

Answer:

92 degrees

Step-by-step explanation:

180-88

=92

~rere

Answer:

see below

Step-by-step explanation:

342 m/s    *  1.09361329834  yd /m  *  1 mile / 1760 yards = .21251 mi/s

1500 mi / hr  *   1609.344 meters / mile   * 1 km / 1000 m = 2414 km/hr

Step-by-step explanation:

If we let the length of the base be b, then the height is 2b-9.

This means that (1/2)(b)(2b-9)=9

b(2b-9) = 18

2b^2 - 9b = 18

2b^2 - 9b - 18 = 0

(2b+3)(b-6)=0

b = -3/2 or b= 6 (disregard b = -3/2 as distance is positive)

This means b =6, and thus the height is 2(6)-9=3.

Answer:

= (2p-3)-(5-7p)

= 2p-3-5+7p

= 2p+7p-3-5

= 9p-8

Answer: 1.5 (Decimal Form) or 3/2 (Exact Form)

Step-by-step explanation:

So what you do is put the whole number which in this case is 4, into a fraction so your problem will look like this:

3 / 8 * 4 / 1 =

Then, you will have to multiply all the numbers across:

3 * 4 = 12

8 * 1 = 8

Your answer will then look like this:

12 / 8

You will have to simplify with the greatest common factor which would be 4:

12 / 4 = 3

8 / 4 = 2

So, you get your answer:

3 / 2 or 1.5

Answer:

Step-by-step explanation:

The vertex form of quadratic function f(x) = ax² + bx + c:

f(x) = a(x - h)² + k

(h, k) - coordinates of a vertex

h = -b/2a

k = f(h)

We have f(x) = -x² + 8x - 4 ⇒ a = -1, b = 8, c = -4.

h = -8/(2 · (-1)) = -8/(-2) = 4

k = f(4) = -4² + 8 · 4 - 4 = -16 + 32 - 4 = 12

Vertex (4, 12)

Axis of symerty = h: x = 4

y - inrercept f(0) = c: -4

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

377.6

Step-by-step explanation:

You do the ratio of 59/100 and then divide 640 by 100. Then you will get 6.4.

Multiply 59×6.4=377.6

Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.

Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.

Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 [tex]\leq[/tex] x [tex]\leq[/tex] 8.

Answer:

Person above is correct I think.

Step-by-step explanation:

Answer:

  congruent by the SSS congruence postulate

Step-by-step explanation:

The hash marks tell you each side of one triangle has a congruent corresponding side in the other triangle.

__

The triangles are congruent by the SSS congruence postulate.

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}}[/tex]

Which is true about the slope of the function y=4x+3?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

The slope of the function y=4x+3 is 4; in equations like this one, the slope is simply the number before x.

The rise is 4, and the run is 1.

Remember, slope is also defined as "Rise/Run"

[Note:- You haven't listed any options here, could you kindly add them in the comments?]

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

Answer:

-5/12 , -1/2 ,-7/12

Step-by-step explanation:

a = -1/3

b= -2/3

n = 5

d = b- a/n+1

d= (-2/3 + 1/3)/(5+1)

d = -1/12

numbers are :

-1/3 , -1/3-1/12 , -1/3-2/12 , -1/3-3/12, -2/3

-1/3,-5/12,-1/2,-7/12,-2/3

Answer:

58 degrees

Step-by-step explanation:

90-32

=58

~rere

Answer:

angle b measures 58°

Explanation:

As we know that, the sum of complementary angles is always equal to 90°.

Therefore,

angle a + angle b = 90°

32° + angle b = 90°

angle b = 90° - 32°

angle b = 58°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer: Its 10 ft

Step-by-step explanation: because if one side is the number the other side is going to be the same number

please choose me as brainly

The number of eight-digit codes could she make using the digits in her birthday is 1120 digits

Since the order of the arrangement of the digits matter, we use permutations

Permuations are the number of ways of arranging n objects in r ways. It is given as ⁿPₓ = n(n - 1)(n -2)...(n - x + 1). If we have r identical objects out of n objects, the number of arrangements are n!/r!

Now, since in the date Lucy was born 11/09/1993 has eight digits, we need to find the number of permutations the eight digits of her birthday to form an eight digit code.

Since there are 8 digits, three one's, three nine's, one 1 and one 3.

The number of permutations of these digits in an eight digit code, since we have repeated objects are n = 8!/3!3!1!1!

= 40320/6 × 6 × 1 × 1

= 40320/36

= 1120 digits

So, the number of eight-digit codes could she make using the digits in her birthday is 1120 digits

Learn more about permutations here:

https://brainly.com/question/5708836

#SPJ1

Answer: Choices A and C

Reason:

Answer:

5,814 inches cubed

Step-by-step explanation:

lengthxwidthxheight=volume of a rectangular prism.

19 times 17 times 18 equals 5,814 inches cubed. It is cubed because it is a three-dimensionsal shape. Hope this helps!

Answer:

y = 1/2 x.

Step-by-step explanation:

Each value of y is 1/2 of x.