How to find Indirect measurements with similar triangles?

Mathematics

1 answer:

Dimas [21]4 years ago

8 0

Set it up as a proportion make sure the same sides of each triangle match cross multiply then solve it like a regular equation hope the image helps like I said after u set it up and cross multiply it's a regular equation and all u need to do is solve for X

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Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\$

$\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}$

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3 years ago

The interest rate r required to increase investment p to amount a in t years is found using the formula r=(a/p)^1-t - 1. Find th

valkas [14]

The interest rate would be 20%.

The formula is derived from the compound interest formula

$A=p(1+r)^t$ .

We want to isolate r in this equation to rewrite the formula. The first thing we would cancel, outside parentheses, would be p; divide both sides by p and we have

$\frac{A}{p}=(1+r)^t$

We want to cancel the exponent, t, next. We can raise a power to its reciprocal to undo it; for example, raising a squared amount to the 1/2 power will undo the exponent. We will raise both sides of this to the 1/t power:

$(\frac{A}{p})^{\frac{1}{t}}=1+r$

Now we cancel the 1 by subtracting, giving us

$(\frac{A}{p})^{\frac{1}{t}}-1=r$

Using this formula, we plug in 3600 for A, 2500 for p and 2 for t:

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4 years ago

Apartment Math Quiz : The total length of your apartment is 30 feet and the total width is 20 feet. What is the total area of th

maks197457 [2]

Answer:

Step-by-step explanation:

30·20

=600

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3 years ago

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Which of the expressions are NOT polynomials? Check all that apply.

Tomtit [17]

<span>the expressions that are NOT polynomials
</span><span>A. x^2-(square root of x)-3
</span><span>C. 5x^1/2 + 4x^2
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3 years ago

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A company is selecting 6 people to be on a committee. There are 29 employees eligible to be on the committee. What is the total

postnew [5]

Answer: 342014400

Step-by-step explanation:

Given : A company is selecting 6 people to be on a committee.

Total employees eligible to be on the committee=29

Since each employee will have a different position on the committee, thus order matters here , so we use Permutations.

Number of permutation of n thing taking m things at a time is given by :-

$^nP_m=\dfrac{n!}{(n-m)!}$