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2 years ago

9

A 6 feet tall boy cast a shadow of 9 feet at the same time of day at the shadow of the tree measures 21 feet what is the height

of the tree

1 answer:

Leto [7]2 years ago

7 0

Answer:

The shadow of the tree is 14 feet

Step-by-step explanation:

6x21=126

126/9=14

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Genrish500 [490]

Given

$a\sqrt{x+b}+c=d$

we have

$\sqrt{x+b}=\dfrac{d-c}{a}$

Squaring both sides, we have

$x+b=\dfrac{(d-c)^2}{a^2}$

And finally

$x=\dfrac{(d-c)^2}{a^2}-b$

Note that, when we square both sides, we have to assume that

$\dfrac{d-c}{a}>0$

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

$a=1,\ b=0,\ c=2,\ d=6$

and you'll have

$\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16$

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

$a=1,\ b=0,\ c=10,\ d=4$

and you'll have

$\sqrt{x}+10=4 \iff \sqrt{x}=-6$

Squaring both sides (and here's the mistake!!) you'd have

$x=36$

which is not a solution for the equation, if we plug it in we have

$\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4$

Which is clearly false

7 0

3 years ago

3 cm and 9 mm converted completely into centimetres to one decimal place is ____cm. Someone please help me it would be greatly a

makvit [3.9K]

9mm in centimeters is 0.9

3 0

2 years ago

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

Viktor [21]

Answer:

There are approximately 171 families in the sample.

Step-by-step explanation:

Percentile meaning:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.

This means that 24 is 14% of the total number of families.

Approximately how many families are in the sample?

Using a rule of three.

24 - 0.14

x - 1

0.14x = 24

x = 24/0.14

x = 171.4

Rounding to the nearest integer

There are approximately 171 families in the sample.

5 0

2 years ago

Can someone helpp with this

m_a_m_a [10]

Here is my answer, hope to help you

3 0

2 years ago

Which statement is NOT true?

mrs_skeptik [129]

Answer:

A, a rhombus has all the properties of a square.

Step-by-step explanation:

Not all quadrilaterals will be the same

6 0

2 years ago