All categories

2 years ago

The perimeter of a semicircle is 46.26 meters. What is the semicircle's diameter?

Mathematics

1 answer:

barxatty [35]2 years ago

8 0

Answer:

diameter = 18 m

Step-by-step explanation:

46.26 = 1/2π(diameter) + diameter

46.26 = 1.57d + d = 2.57d

d = 46.26/2.57 = 18 m

You might be interested in

A rectangle has a perimeter of 48 cm and a width of 6 cm. Use the formula P=2ℓ+2w to find the length.

Vinil7 [7]

Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is th

gregori [183]

Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

8 0

3 years ago

The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s

Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the principal amount invested.

Simple Interest Formula

I = Prt

where:

I = interest earned
P = principal
r = interest rate (in decimal form)
t = time (in years)

Given:

I = Rs 320
r = 5% = 0.05
t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

Compound Interest Formula

$\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}$

where:

I = interest earned
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

P = 3200
r = 5% = 0.05
n = 1 (annually)
t = 2 years

Substitute the given values into the formula and solve for I:

$\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200$

$\implies \sf I=3200\left(1.05\right)^{2} -3200$

$\implies \sf I=3200\left(1.1025\right) -3200$

$\implies \sf I=3528-3200$

$\implies \sf I=328$

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

7 0

2 years ago

PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

6 0

2 years ago

Use the unique factorization of integers theorem to prove the following statement. If n is any positive integer that is not a pe

anyanavicka [17]

Answer:

Step-by-step explanation:

3 0

3 years ago