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BabaBlast [244]
3 years ago
9

Find the length of STV in the figure.

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

l=\frac{\theta}{360^{\circ}}\times2\pi r, where r= radius of the cirle, \theta is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV = 140^{\circ}

Then, Central angle of arc SCV = 360^{\circ}-140^{\circ}=220^{\circ}

Then, the length of the arc STV =

l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}

Hence, the length of STV is about 76.83 in.

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Answer to question one pleaseeeee help !!
Salsk061 [2.6K]
The answer is 19.6 cm^2


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so the area is
(9.8 \times 4 ) \div 2= 39.2 \div 2 = 19.6



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8 0
3 years ago
0 = 4x + 4 linear equation
FinnZ [79.3K]

Answer:

x = -1

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

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

0 = 4x + 4

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

  1. Subtract 4 on both sides:                    -4 = 4x
  2. Divide 4 on both sides:                        -1 = x
  3. Rewrite:                                                 x = -1
7 0
2 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
A vacuum had been marked down by 20% and solf for $250. What was the original price of the vacuum?
igomit [66]

Answer:

The original price was $312.50

Step-by-step explanation:

If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.

Let's set up an equation.

80/100 of x = 250

0.8 • x = 250

Divide both sides by 0.8.

x = 312.50

The original price was $312.50

Hope this helps!

7 0
2 years ago
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S_A_V [24]
4 times (x^2-9x+8). Hope that helps!
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3 years ago
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