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777dan777 [17]
3 years ago
10

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

Mathematics
2 answers:
goblinko [34]3 years ago
8 0

Answer:

3 inches

Step-by-step explanation:

iVinArrow [24]3 years ago
5 0

Answer:

B. 3 inches

Step-by-step explanation:

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PQR is a right angled triangle calculate the size of angle marked x
romanna [79]

Answer:

\displaystyle x \approx 37.4^\circ

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
  4. Evaluate trig inverse:                                                                                      \displaystyle x = 37.39^\circ
  5. Round:                                                                                                             \displaystyle x \approx 37.4^\circ
8 0
3 years ago
Two interior angles of a triangle each measure 34 what is the measure of the third interior angel?
Anestetic [448]
I go I go I go I go cra a a azy
6 0
3 years ago
Any of these questions please
maw [93]

Answer:

See the explanation below.

Step-by-step explanation:

f(t)=21020\left(1+0.012\right)^t\\\\f(t)=21020\left(1.012\right)^t\\

Starting from t=2002

By putting t=2015-2002=13  we have:

f(t)=21020\left(1.012\right)^{13}\\\\\approx 24546

7 0
3 years ago
What is the domain and range of f(x)=2.5x when x goes up to 800
Mandarinka [93]

Answer:

Domain:  all real numbers.  Range:  (-∞, 2000]

Step-by-step explanation:

f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial.  As such, its domain contains "all real numbers."  That value 800 defines the largest value that this f(x) can have:  f(800) = 2.5(800)  = 2000.  

Thus, the range is "all real numbers from -∞ through and including 2000."

3 0
3 years ago
A rock is launched from a cannon. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Us
max2010maxim [7]

Answer:

Step-by-step explanation: This is the quadratic function:

h(x)=ax²+bx+c

We have two points:

(1,58)

(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0

Therefore:

a(0)²+b(0)+c=0

c=0

(1,58)

a(1)²+b(1)=58

a+b=58  (1)

(2,112)

a(2)²+b(2)=112

4a+2b=112

2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:

a+b=58

2a+b=56

we can solve this system of equations by reduction method.

-(a+b=58)

2a+b=56

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

a=-2

-2(a+b=58)

2a+b=56

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

      -b=-60  ⇒  b=60

The function is:

h(x)=ax²+bx+c

h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)

h(10)=-200+600=400

Answer: 400 ft.

8 0
3 years ago
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