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Ierofanga [76]
3 years ago
7

Work out the perimeter of a quarter-circle with radius 7cm.

Mathematics
2 answers:
Flura [38]3 years ago
7 0

Answer:

25

Step-by-step explanation:

p=1÷4pir+2r

1÷4×22÷7×7+2(7)

=11cm+14cm

=25

patriot [66]3 years ago
6 0

Answer:

3.5π cm²

Step-by-step explanation:

let P represent the perimeter of a circle with radius 7

P = 2×π×r

  = 2×π×7

  = 14π

the perimeter of a quarter-circle with radius 7 = P÷4

= 14π÷4

= 3.5π

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Find the surface area of the triangular prism (above) using its net (below).
r-ruslan [8.4K]

Answer:

96 square units

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

  • The length of the large rectangle is: 5
  • The width of the large rectangle is: 7

=> Area of the large rectangle = length × width  = 7*5 = 35 square units

  • The length of the middle rectangle is: 7
  • The width of the middle rectangle is: 4

=> Area of the middle rectangle = length × width  = 7*4 = 28 square units

  • The length of the small rectangle is: 7
  • The width of the small rectangle is: 3            

=> Area of the small rectangle = length × width  = 7*3 = 21 square units

Area of top and the bottom triangles =2* \frac{1}{2}bh  = 4*3 =12  

Total surface area = 35 + 28 + 21 + 12 = 96 square units

3 0
3 years ago
Read 2 more answers
Factor each polynomial. check your answer. <br> 12x^4 - 8x^3 - 4x^2
tekilochka [14]

Answer:

2x^2(3x^2-2x-1)

Step-by-step explanation:

12x^4 - 8x^3 - 4x^2

everything is a multiple of 4 so divide the whole thing by 4

12x^4 - 8x^3 - 4x^2/4= 3x^4-2x^3-1x^2

write it in disturbed form

2(3x^4-2x^3-1x^2)

now if u see we can see that the X will be same, so we also have to factor it out and 2 is the exponent that all can give

2x^2(3x^2-2x-1)

7 0
3 years ago
Read 2 more answers
An airplane is sighted at the same time by two
tiny-mole [99]

I got 2.2

Step-by-step explanation:

I probably did the math wrong but i did my best and i hope this helped even a little!

4 0
2 years ago
You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given
cestrela7 [59]

Answer:

a) 0.37

b) 0.421

c) 0.25

Step-by-step explanation:

Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is

\mu = 60*0.5 = 30

And the standard deviation:

\sigma = 60*0.5*0.5 = 15

a) the cumulative probability of winning at least 35 games is

P(X \geq 35) = 1 - P(X < 35) = 1 - 0.631 = 0.37

b)P(X < 27) = 0.421

c)P(30 \leq X \leq 40) = P(X \leq 40) - P(X \leq 30) = 0.75 - 0.5 = 0.25

7 0
3 years ago
Y=-1/4x-5 and 2x+8y=56 determine if paralllel ,nethier or perpendicular
Dominik [7]

Answer:

Parallel

Step-by-step explanation:

In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.

2x +8y= 56

Let's rewrite this equation into the slope-intercept form.

8y= -2x +56

Dividing both sides by 8:

y=  -  \frac{2}{8} x +  \frac{56}{8}

y =  -  \frac{1}{4} x + 7

Slope= -¼

y= -¼x -5

Slope= -¼

Since both lines have the same slope, they are parallel to each other.

3 0
2 years ago
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