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inn [45]
3 years ago
5

Help in Circumference of a circle A small pizza has a diameter of 21 cm.

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

The circumference of any circle is (pi) x (the diameter of the circle).

The problem gives you both numbers, so all you have to do is multiply them.

Circumference = (pi) x (diameter) = (3.14) x (21cm) = <em>65.94 cm .</em>


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Mark tosses a coin 25 times. What is the probability that it lands on heads exactly seven times?
mezya [45]

Answer:

1.43%

Step-by-step explanation:

we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7

the formula is:

P (x) = mCx * p ^ x * q ^ (m-x)

we know that p is 0.5 therefore q is equal to 0.5, replacing:

P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)

P (7) = 25! / (7! * (25-7)!) * 0.5 ^ 7 * 0.5 ^ (25-7)

P = 0.0143

that is, the probability is 1.43%

6 0
2 years ago
The base of a triangular prism is a right triangle with a base of 5 inches, a height of 12 inches, and a third side length of 13
myrzilka [38]

Answer:

690 sq in

Step-by-step explanation:

SA = LA + 2B     where LA is the lateral area and B is the area of the base

The triangular base has an area of

B = 1/2bh 1/2(5)(12) = 30

LA = ph  where p is the perimeter of the base and h is the height of the prism

LA = (12 + 5 + 13)(21) = 30(21) = 630

SA = 630 + 2(30) = 630 + 60 = 690 sq in

3 0
3 years ago
Please answer asap this is 7th grade math<br> find the area
Rainbow [258]

25pi

pi x 10^2 is 100pi

Divide by four = 25pi

7 0
2 years ago
Read 2 more answers
Which shows one way to determine the factors of x^3 – 12x^2 – 2x + 24 by grouping?
krek1111 [17]
x^3-12x^2-2x+24=x^2\cdot x-x^2\cdot12-2\cdot x-2\cdot(-12)\\\\=\underline{x^2(x-12)-2(x-12)}=(x-12)(x^2-2)\\\\Answer:\boxed{d}
4 0
3 years ago
Read 2 more answers
Use L’Hospital’s Rule to evaluate the following limit.
Serga [27]

Answer:

3

Step-by-step explanation:

lim(t→∞) [t ln(1 + 3/t) ]

If we evaluate the limit, we get:

∞ ln(1 + 3/∞)

∞ ln(1 + 0)

∞ 0

This is undetermined.  To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.

lim(t→∞) [t ln(1 + 3/t) ]

lim(t→∞) [ln(1 + 3/t) / (1/t)]

This evaluates to 0/0.  We can simplify a little with u substitution:

lim(u→0) [ln(1 + 3u) / u]

Applying L'Hopital's rule:

lim(u→0) [1/(1 + 3u) × 3 / 1]

lim(u→0) [3 / (1 + 3u)]

3 / (1 + 0)

3

4 0
3 years ago
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