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1 year ago

72 is what percent of 45

Mathematics

1 answer:

Aloiza [94]1 year ago

8 0

Answer:

160%

Step-by-step explanation:

45= 100%

72= ?%

100×72/45 = 160

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Given the triangle below, which of the following is a correct statement?

EleoNora [17]

ANSWER

(A)csc angle C equals 3 over 2

EXPLANATION

The cosecant is hypotenuse over opposite.

$\csc(C) = \frac{6}{4}$

$\csc(C) = \frac{3}{2}$

$\csc(B) = \frac{6}{5}$

The secant is the hypotenuse over adjacent.

$\sec(C)=\frac{6}{5}$

$\sec(B) = \frac{6}{4}$

$\sec(B) = \frac{3}{2}$

The only correct choice is A

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3 years ago

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A population of 1,000 squirrels lives on a rectangle-shaped farm plot that is 25 feet long by 10 feet wide what is the populatio

Lemur [1.5K]

First, find the area of the plot:
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1000/250 is 4

the population density is 4 squirrels per square foot.

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2 years ago

Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

$\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}
$

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2 years ago

What division problem can be represented using the number line?

nexus9112 [7]

A or b depending on wich way your moving

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2 years ago

Which of the following expressions Will result in a product less than zero? Select all that apply

Semmy [17]

Answer:

A and D

Step-by-step explanation:

Negative times positive is always negative, thus making them less than 0. Negative times negative is positive, so B and C both have a positive product. Hope this helps

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2 years ago

72 is what percent of 45​

72 is what percent of 45