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3 years ago

7

MATH!!!! HELP ME!!!!!! PLEASE!!!!!

1 answer:

worty [1.4K]3 years ago

6 0

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A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other. </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

$\frac{H}{h}=\frac{A}{a}$ (1)

We know all these lengths except $H$ , which is the value we want to to find.

So, in order to approach this problem we have to find $H$ from equation (1):

$H=\frac{A}{a}h$

$H=\frac{5 ft}{1.5 ft}(6 ft)$

Then:

$H=20 ft$ >>>>>This is the height of the flagpole

4 0

3 years ago

A boy makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How manny such cuboids will he need to form a cube?

ruslelena [56]

Answer:

Step-by-step explanation:

L.C.M. of 5,2=10

so it should be of dimensions 10×10×10

it should have 5 cuboids in first row.

then it will make a cuboid 5×10×5

5 cuboids in the second row on top of first row .

Then it will make 5×10×10 cuboid

To make 10×10×10

double the cuboids to make the length=10 and height=10..

so in all 20 cuboids are needed.

2 rows of 5 cuboids on the floor and 2 rows of 5 cuboids on the top.

in all 10 cuboids of dimensions 5×2×5

so 9 more cuboids are needed to make a c

3 0

3 years ago

A bag contains 80 marbles: 40 are red, 20 are blue, and 20 are black. what is the probability of selecting a red or blue marble

DedPeter [7]

40 % out of 80 for red
20% out of 80 for blue

4 0

3 years ago

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x

valentina_108 [34]

That would be the last choice. Opposite meaning different sign

4 0

3 years ago

Read 2 more answers

"India is the second most populous country in the world, with a population of over 1 billion people. Although the government has

Leto [7]

Answer:

0.54,0.46,0.43

Step-by-step explanation:

Given that India is the second most populous country in the world, with a population of over 1 billion people.

The pdf of household size say X in India varies from 1 to 8.

The distribution is shown as follows

X 1 2 3 4 5 6 7 8 Total

P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00

a) the probability that there are less than 5 members in a household in India

= $P(X$

= $P(1 to 4) = 0.54$

b. the probability that there are 5 or more members in a typical household

in India

= $P(X\geq 5) = P(5 to 8)\\\\= =0.46$

c) the probability that the number of members in a typical household in India is strictly between 2 and 5

$=P(2$

4 0

3 years ago