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3 years ago

Which are true about Figure 1 and Figure 2? Select all that apply.

Mathematics

1 answer:

iogann1982 [59]3 years ago

3 0

Answer:

The figures have the same shape, Corresponding angles have the same measure, Corresponding sides have the same ratio, and The figures are similar.

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Which Trig. Function do you use to find X?

zvonat [6]

Answer:

Cosine

Step-by-step explanation:

Cosine = $\frac{adjacent}{hypothenuse}$

Cos 70 = $\frac{x}{8}$

0.633 = $\frac{x}{8}$

0.633 x 8 = $\frac{x}{8}$ x 8

5.064 = x

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2 years ago

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Tim’s height is 1m 20cm and Erica’s height is 1m. What is the simplified ratio of Tim’s height to Erica’s height?

Sholpan [36]

Tim is 20 cm higher on height

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3 years ago

Which of the following expressions have a

Yuki888 [10]

A and D i think.(sry this needed to be 20 characters long)

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2 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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3 years ago

A line that includes the point (-4, 7) has a slope of 6. What is its equation in point-slope

aalyn [17]

Point slope formula: y-y1=m(x-x1). Answer: y-7=6(x-(-4))

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3 years ago