2 years ago

An 80-foot flagpole casts a 100-foot shadow. What is the length of a shadow if a 5-foot tall child stands beside the flagpole?

Mathematics

1 answer:

kherson [118]2 years ago

6 0

Answer: The child's shadow would be 6.25 feet.

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The difference of the square of a number and 4 is equal to 3 times that number. Find the positive solution.

liberstina [14]

Let the number be 'a':

The difference of the square of a number and 4

a^2 -4

is equal to 3 times that number.

= 3*a

a^2 -4 =3a

a^2 -3a -4=0

(a-4) (a+1)=0

solutions are: 4 and -1

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2 years ago

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Type the correct answer for each box write your answer in decimal form rounded to the nearest tenth if necessary type the soluti

stira [4]

The solution is $x=-1$ and $x=-0.5$

Step-by-step explanation:

The expression is $2x(x+1.5)=-1$

Multiplying the term $x+1.5$ by $2x$ , we get,

$2x^{2} +3x=-1$

Adding both sides by 1,

$2x^{2} +3x+1=0$

Taking factor, we get,

$\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}$

Equating the factors to 0,

$\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

Thus, the smaller value is $x=-1$

The solution is $x=-1$ and $x=-0.5$

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A box of fruit has three times as many apples as oranges

luda_lava [24]

What is the question? i could help you if i knew the question

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What type of angles are ECH and FCG?

Darina [25.2K]

ECH is an acute angle.

FCG is also an acute angle.

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Step-by-step explanation:

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