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timama [110]
2 years ago
15

What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun

d your final answer to the nearest hundredth. Enter your answer as a decimal
Mathematics
1 answer:
kvasek [131]2 years ago
7 0

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

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Determine which statement completes each open sentence:
Veronika [31]

Answer:

32 ÷ 8 + 1 __IS NOT EQUAL TO__ 3² - 1

4² __IS NOT EQUAL TO__ 4 • 2

3(x - 4 + x) __IS EQUAL__ 3x - 4 + x

when x = 4

15 ÷ (1 + 2) ___IS NOT EQUAL TO_ 15 ÷ 1 + 2

3(x - 4 + x) __IS NOT EQUAL TO__ 3x - 4 + x

when x = 2

6 0
2 years ago
What is the arc measure of D C in degrees
Mashutka [201]
Hello there!

Sense this is a 360 degree angle, it is divide by 2. This would then be considered 180. If you (noticed) on the other side, it shows us that . . .

AB=19 \\ and \ AB=CD

We then do (180-19)

DC= \ \boxed{161}
4 0
3 years ago
H(t)=-16t^{2}+100t+10 find the domain and range. please
RSB [31]

Answer:

Step-by-step explanation:

The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2).  The axis of symmetry is

        -b          -100

x = --------- = ----------- = 50/16 = 25/8.

        2a        2(-16)

The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.

The largest value this function can take on is 166/25.  Thus, the range is

(-infinity, 166/25).

Since the given function is a polynomial, the domain consists of all real numbers.

3 0
3 years ago
Someone help pls :,)
Semenov [28]

Answer:

W = 87 degrees

Step-by-step explanation:

First we can rearrange the question so that W is isolated on the left side, which we do by dividing both sides by tan:

tanW/tan = 19.0811/tan

W = 19.0811/tan

Now we can use the inverse tan function on the calculator (tan^{-1}) to calculate it:

W = 19.0811 x tan^{-1}

W = 87 degrees

Hope this helped!

8 0
3 years ago
A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present age
Orlov [11]

Answer: girls=20, sister=10

Step-by-step explanation:

Let x = the girl's sister's age (present)

Let 2x= the girl's age (present)

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

According to the question

(x+5)(2x+5)=375

Expand parentheses by FOIL (First Outer Inner Last)

2x²+5x+10x+25=375

Combine like term (5x and 10x)

2x²+15x+25=375

Subtract 375 on both sides

2x²+15x+25-375=375-375

2x²+15x-350=0

Find the factors (cross factor)

(x-10)(x+17.5)=0

x=10 or x=-17.5 (rej) ⇔ the age can't be negative

the girl's age is 20, and her sister's age is 10.

7 0
3 years ago
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