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Anastaziya [24]
3 years ago
8

PLZ HELP ASAP AREA OF A SECTOR

Mathematics
1 answer:
const2013 [10]3 years ago
4 0
The fraction of a circle represented by the shaded region is:
 S '/ S = ((8/5) * pi * r) / (2 * pi * r)
 Rewriting we have:
 S '/ S = ((8/5)) / (2)
 S '/ S = 8/10
 S '/ S = 4/5
 Then, we can make the following rule of three:
 (64/5) pi -------> 4/5
 x ----------------> 1
 Clearing x we have:
 x = ((1) / (4/5)) * ((64/5) pi)
 Rewriting:
 x = (5/4) * ((64/5) pi)
 x = (5/4) * ((64/5) pi)
 x = 50.24
 Answer:
 
The area of the complete circle is:
 
x = 50.24
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The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height
olga nikolaevna [1]

<em>answer \\ 20 \: cm \\ solution \\ volume = 20000 \:  {cm}^{3}  \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height =  \\ now \\ v = l \times b \times h \\  \:  \:  \:  \:  \:  \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h =  \frac{20000}{1000}  \\ h = 20 \: cm \\ hope \: it \: helps</em>

5 0
3 years ago
Read 2 more answers
PLS HELP ME I WILL MARK THE BRAINLIEST
Serga [27]

Answer:

1. 155 yd², 2. 379.54 ft², 5. x = 65.82π

Step-by-step explanation:

1. A = (1/2) · (3 + 13) · 8

A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²

2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²

3. and 4. Sorry, I don't know how to solve these

5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π

Hope this helps :)

7 0
2 years ago
Write the equation of the perpendicular bisector of CD.
Luda [366]
You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.

The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line

2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = (\frac{x1+x2}{2} ,  \frac{y1+y2}{2})

Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.

By this, we would have our equation in the form of:
y = mx + c

Hope this helps :)


8 0
3 years ago
Read 2 more answers
You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
Darina [25.2K]

Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

Purchase cost of land in 1970 = $25,000

Application rate = 4% per year

Find:

Price of land in 2000

Computation:

Number of year = 2000 - 1970 = 30 year

Future value of land = [Purchase cost of land][1+Application rate]ⁿ

F = P[1+r]ⁿ

Future value of land = 25,000[1+4%]³⁰

Future value of land = 25,000[1+0.04]³⁰

Future value of land = 25,000[1.04]³⁰

Future value of land = 25,000[3.24339]

Future value of land = 81,084.75

Future value of land = $81,084 (Approx.)

5 0
3 years ago
Least to greatest number 66 and 67
steposvetlana [31]
66.) .... 1/6 > 1/5 > 1/4 > 1/3 > 1/2
6 0
3 years ago
Read 2 more answers
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