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Mathematics

1 answer:

mina [271]2 years ago

7 0

Answer:

(a) 1.353 x 10^9

Step-by-step explanation:

Jumping 9 places back to obtain standard form

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Consider the equation 3p – 7 p = 13. what is the resulting equation after the first step in the solution?

never [62]

Answer:

-4p=13

Step-by-step explanation:

-3p-7p=13

-4p=13

p=-13/4

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2 years ago

85% expressed as a fraction in simplest form is

Marizza181 [45]

Hello There!

85% = 85/100

85/100 = 0.85

0.85/1 * 100/100

85/100

SIMPLIFIED IS 17/20

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3 years ago

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The dealer's cost of a Sierra is 89% of a base price. Which is $43,890, and 10 points

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3 years ago

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

Lilit [14]

Check the picture below.

$\bf (\stackrel{a}{1}~,~\stackrel{b}{-1})\qquad \impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{1^2+(-1)^2}\implies c=\sqrt{2} \\\\[-0.35em] ~\dotfill$

$\bf sin(\theta ) \implies \cfrac{\stackrel{opposite}{-1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{-1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies -\cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies -\cfrac{\sqrt{2}}{2}$

$\bf cos(\theta ) \implies \cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies \cfrac{\sqrt{2}}{2} \\\\\\ tan(\theta ) = \cfrac{\stackrel{opposite}{-1}}{\stackrel{adjacent}{1}}\implies tan(\theta ) = -1$