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aivan3 [116]
3 years ago
5

Work out the perimeter of this semicircle. take pi to be 3.142​

Mathematics
2 answers:
Vanyuwa [196]3 years ago
8 0

Answer:

P = 25.71 cm

Step-by-step explanation:

Perimeter of semicircle = πD/2

Where D=10 cm

P = (3.142)(10)/2

P = (3.142)(5)

P = 15.71 cm

Complete Perimeter of Semicircle = P + Diameter

= 15.71 + 10

= 25.71 cm

Ber [7]3 years ago
8 0

Answer:

25.71cm

Step-by-step explanation:

3.142 x 10 = 31.42

31.42/2 = 15.71 (half of the circumference)

15.71 + 10(the diameter).

= 25.71cm

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
−6−1.5(4b+8)=3(−6−2b)
____ [38]

Answer:

-18 = -18  It is true.

Step-by-step explanation:

-6 -1.5(4b+8) = 3(-6 -2b)

 -6   -6b - 12 = -18 -6b

      -6b -18    = -18 -6b

       +6b                 +6b

            -18   =  -18

              It is true.

4 0
3 years ago
|
dedylja [7]
Right there 125677 on the left you go 4 ahhbsn

6 0
2 years ago
The area of a rectangle is 77ft and the length of the rectangle is 3ft more than double the width. Find the dimensions of the re
Radda [10]
Let b= length and a=width
Area= a*b  and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3)   and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.

3 0
3 years ago
PLEASE HELP ME I WILL MAKE YOU BRAINLEST
Murljashka [212]

Answer:

1. 5x+3y, 2. 5h, 3. 5x+20-2x+8 --> 3x+28, 4. 2y-6+5x+5 --> 2y+5x-1

Step-by-step explanation:

6 0
3 years ago
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