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2 years ago

The area of the figure below

Mathematics

1 answer:

Studentka2010 [4]2 years ago

6 0

Answer:

32 square milimeters

Step-by-step explanation:

3/4 of 24= 18 (rectangle 8X3)

4x2=8 (rectangle 4x2)

half of 12 =6 (rectangle 4x3)

18+8+6 =32

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Step-by-step explanation:

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3 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

The population of the United States is aging, though less rapidly than in other developed countries. Here is a stemplot of the p

Degger [83]

Answer:

Option A. 17.6%

Step-by-step explanation:

Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;

it means that 5 is whole percent and 7 will be written as $\frac{7}{10}$ = 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.

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5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.

Therefore option A id correct with 17.6% percent as of Florida.

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3 years ago

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andrezito [222]

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3 years ago

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saveliy_v [14]

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3 years ago

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