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prohojiy [21]
1 year ago
10

Find the Perimeter of the figure below, composed of a parallelogram and one

Mathematics
1 answer:
Neporo4naja [7]1 year ago
7 0

The perimeter of the figure to the nearest tenth is 44.6 units

<h3>Perimeter of a figure?</h3>

The perimeter of a figure is the sum of the whole sides.

Therefore,

A parallelogram has opposite sides equal to each other.

Therefore, the perimeter of the figure is as follows;

The figure combines a parallelogram and a semi circle.

Therefore,

perimeter of the figure = 4 + 14 + 14 + πr

perimeter of the figure = 32 + 3.14 × 4

perimeter of the figure = 32 + 12.56

perimeter of the figure = 44.56

perimeter of the figure ≈ 44.6 units

learn more on perimeter here: brainly.com/question/22532312

#SPJ1

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Consider the probability that no fewer than 74 out of 112 houses will lose power once a year. Assume the probability that a give
Natasha_Volkova [10]

Answer: the normal curve can be used as an  approximation to the binomial probability considering the following condition: when the sample is large, in this case n=112

Step-by-step explanation:

for a binomial experiment to be approximated to normal distribution, the following conditions must be present:

i.  sample size must be large, in this case sample size is 112

ii.  the mean must be equal to np,where n is sample size and p is probability  of success

iii.  the standard deviation must be equal to npq,where q is the probability of failure

5 0
3 years ago
Cynthia clones 50 frogs in a year.
Dima020 [189]
There are 52 weeks in a year. 1 frog per week: 52 * 1 = 52

So, cloning about 1 frog per week would be reasonable.
5 0
3 years ago
Let a be a rational number and b be an irrational number. Which of the following are true statements?(there is more than 1 answe
kramer
<span>A.) the sum of a and b is never rational.
This is a true statement. Since an irrational umber has a decimal part that is infinite and non-periodical, when you add a rational number to an irrational number, the result will have the same infinite non periodical decimal part, so the new number will be irrational as well.

</span><span>B.) The product of a and b is rational
This one is false. Zero is a rational number, and when you multiply an irrational number by zero, the result is always zero.

</span><span>C.) b^2 is sometimes rational
This one is true. When you square an irrational number that comes from a square root like </span>\sqrt{2}, you will end with a rational number: ( \sqrt{2} )^{2}=2, but, if you square rationals from different roots than square root like \sqrt[3]{2}, you will end with an irrational number: \sqrt[3]{2^{2} } = \sqrt[3]{2}. 

<span>D.) a^2 is always rational
This one is false. If you square a rational number, you will always end with another rational number.

</span><span>E.) square root of a is never rational
</span>This one is false. The square root of perfect squares are always rational numbers: \sqrt{64} =8, \sqrt{16} =4,...

F.) square root of b is never rational
This one is true. Since the square root of any non-perfect square number is irrational, and all the irrational numbers are non-perfect squares, the square root of an irrational number is always irrational.

We can conclude that given that<span> a is a rational number and b be an irrational number, A, C, D, and F are true statements.</span>
4 0
3 years ago
Help!!<br><br> which expression is equivalent to (m^5 n /pq^2) ^4
lana66690 [7]
\text{Use:}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{nm}\\\\......................................................\\\\\left(\dfrac{m^5n}{pq^2}\right)^4=\dfrac{(m^5n)^4}{(pq^2)^4}=\dfrac{(m^5)^4n^4}{p^4(q^2)^4}=\dfrac{m^{20}n^4}{p^4q^8}
8 0
3 years ago
tyrone opens an account at the local bank by depositing $50 of his birthday money. He continues to deposit $50 each month for 5
Pavel [41]

<u>Answer-</u>

<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>

<u>Solution-</u>

We know that,

\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]

Where,

P = Payment = $50 monthly

r = rate of interest compounded monthly= 3\frac{1}{4}=3.25\%=0.0325

n = number of period = 5 years = 5×12 = 60 months

Putting the values in the formula,

\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]

=50[\dfrac{(1.0325)^{60}-1}{0.0325}]

=50[\dfrac{6.8140-1}{0.0325}]

=50[\dfrac{5.8140}{0.0325}]

=50\times 178.8923

=8944.62

Therefore, the amount will be $8944.62 after 5 years.

5 0
3 years ago
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