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Leokris [45]
3 years ago
5

Given the diagram shown below, which of the following best represents the distance from the school to the library?

Mathematics
1 answer:
White raven [17]3 years ago
7 0
Use the sine theorem:

sin(angle A) / length of side a = sin (angle B) / lenght of side b

Here:

angle A = 32°

length of side a = length from school to library = x

angle B = 110°

length of side b = 2.2 mi

Then, sin(32°) / x = sin(110°) / 2.2 mi

=> x = 2.2 mi * sin (32) / sin (110)

x = 1.24 mi

Therefore the answer is the option B. 1.2 mi
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A nursery has 10 tree seedlings to give out at 2 workshops. It wants to give out a minimum of 2 seedlings at each workshop. How
11111nata11111 [884]

We are given total 10 tree seedlings.

Number of workshops = 2.

Here order doesn't matters.

<em>When order doesn't matters we apply combination.</em>

We know formula of combination:

C(n,r) = \frac{n!}{r!(n-r)!}

For the given situation, we have

n=10 and r=2.

Plugging values in formula, we get

\frac{10!}{2!(10-8)!}  = \frac{10\times 9\times8!}{2!8!}

\frac{10 \times 9}{2} = \frac{90}{2} =45

<h3>Therefore, 45 different ways can the nursery give out seedlings.</h3>
5 0
3 years ago
A cylinder is shown. Use 3.14 as the value of pi 7 mm for radius 11 mm for height​
sukhopar [10]

Answer:

Volume is 1,692.46

Step-by-step explanation:

pi(r^2)(h), 3.14(49)(11)

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3 years ago
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DanielleElmas [232]
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8 0
3 years ago
Among 46​- to 51​-year-olds, 28​% say they have called a talk show while under the influence of peer pressurepeer pressure. Supp
sasho [114]

Answer:

0.8997, 0.9999

Step-by-step explanation:

Given that among 46​- to 51​-year-olds, 28​% say they have called a talk show while under the influence of peer pressure.

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Each person is independent of the other and there are only two outcomes

n =7

a) the probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

=P(Y\geq 1) where Y is binomial with p = 0.72

= 1-(1-0.72)^7\\=0.9999

b) the probability that at least one has  called a talk showcalled a talk show while under the influence of peer pressurepeer pressurethe probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

=P(x\geq 1) =1-P(0)\\= 1-(1-0.28)^7\\=0.8997

3 0
3 years ago
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kolezko [41]

Answer:

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Step-by-step explanation:

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