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blagie [28]
3 years ago
14

A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from

the lamppost, he will cast a shadow how long?
Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet  

According to trigonometry rule make 30 degree angle

tan\left ( 30\ \right )^{o}=\frac{p}{b}

\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )

or

x\sqrt{3}=22

than

x=\frac{22}{\sqrt{3}}

=12feet 8 inch answer

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The average time a subscriber spends reading The Wall Street Journal is 49 minutes (The Wall Street Journal Subscriber Study). A
erica [24]

Answer:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)

And we can find the probability with the complement rule and the normal standard distirbution and we got:

P(z>0.6875)=1-P(z

Step-by-step explanation:

Let X the random variable that represent the time spent reading of a population, and for this case we know the distribution for X is given by:

X \sim N(49,16)  

Where \mu=49 and \sigma=16

We are interested on this probability

P(X>60)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)

And we can find the probability with the complement rule and the normal standard distirbution and we got:

P(z>0.6875)=1-P(z

5 0
3 years ago
Can someone ask me about this, which is algebra, please
krok68 [10]

Answer:

The correct answer is not shown in your picture. You must get a = 60.

Step-by-step explanation:

(1/2)a + (2/3)b = 50

b = 30

(1/2)a + (2/3)(30) = 50

(1/2)a + 20 = 50

(1/2)a + 20 - 20 = 50 - 20

(1/2)a = 30

2 * (1/2)a = 2 * 30

a = 60

The correct answer is not shown in your picture. You must get a = 60.

5 0
3 years ago
A local grocery store is running a marketing promotion on social media. They are randomly choosing a winner from the entrants th
AlladinOne [14]

Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.

<h3>What is the odd of an event?</h3>

It is given by the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.

Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:

18:82 = 9:41

The odds that the winner shops in the store 4 or more times a week are given by: 9:41.

More can be learned about odds at brainly.com/question/25683609

3 0
2 years ago
Get moneyy. Answer this.
Alexxandr [17]
It should be a 80 degrees.
5 0
3 years ago
Read 2 more answers
C
pochemuha
The table on the far left

You can tell because every time the x value increases by 1, the y value increases by exactly 1/2 every time
7 0
3 years ago
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