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damaskus [11]
2 years ago
7

Copy this calculation. replace the boxes with numbers to make the calculation correct. you may need to insert a decimal point in

the top line.
Mathematics
1 answer:
max2010maxim [7]2 years ago
3 0
Where's the calculation yo copy
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The area of the shaded segment is 100cm^2. Calculate the value of r.
Reil [10]
Hello, 

The formula for finding the area of a circular region is: A=  \frac{ \alpha *r^{2} }{2}

then:
A_{1} = \frac{80*r^{2} }{2}

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

cos(40)= \frac{h}{r}  \\  \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)

Now we can find its area:
A_{2}=2* \frac{b*h}{2}  \\  \\ A_{2}= [r*sen(40)][r*cos(40)]\\  \\A_{2}= r^{2}*sen(40)*cos(40)

The subtraction of the two areas is 100cm^2, then:

A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm

Answer: r= 1.59cm
7 0
2 years ago
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Use a Calculator!
Semenov [28]

The answer is 60 I think

7 0
2 years ago
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Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba
nadya68 [22]

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

d=\frac{1}{3} (1+d+d2)

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.

8 0
2 years ago
If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in
satela [25.4K]

Answer:

(11 ft)³

Step-by-step explanation:

Given the shape is a cube, all of its sides are the same.

The formula for the volume of a cube is V = s³ where "s" represents the edge length.

Substitute "s" for 11 ft.

V = s³

V = (11 ft)³

In exponential form, do not solve for the volume. Leave the expression as

(11 ft)³

Without the units, the answer is 11³

3 0
3 years ago
$32.98 with 25% off (SHOW WORK)
lisabon 2012 [21]

Answer:

$24.74

Step-by-step explanation:

32.98*0.75=24.735

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2 years ago
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