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hoa [83]
3 years ago
10

a 33 m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36m Find the length o

f the shadow
Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer:

14.39

Step-by-step explanation:

a^2 + b^2 = c^2

33^2 + b^2 = 36^2

1089 + b^2 = 1296

1089 - 1089 + b^2 = 1296 - 1089

b^2 = 207

b = 14.39

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Find the value of x in the triangle shown below.
MAVERICK [17]

Answer:

What triangle?

Step-by-step explanation:

6 0
3 years ago
Based on a​ survey, when 1009 consumers were asked if they are comfortable with drones delivering their​ purchases, 42% said yes
Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is​ possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}

Using the values, we get:

P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0
3 years ago
Simplify the expression. 2n/3n​
balandron [24]

\dfrac{2n}{3n}=\dfrac{2\cdot \not n}{3\cdot\not n}=\dfrac{2}{3}

3 0
3 years ago
A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is
Julli [10]

Answer:

The maximum safe rescue height is   104.6 feet above the height of  the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and  AB be the building  and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}

\sin 72^{\circ}=\frac{AB}{BC}

\sin 72^{\circ}=\frac{x}{110}

x=110 \times \sin 72^{\circ}

x=104.6

So, the maximum safe rescue height is   104.6 feet above the height of

the ground.

5 0
3 years ago
Read 2 more answers
Please help me with the question
nikdorinn [45]

Answer:

4p,q+r

4p(q+r)

4pq+4pr

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