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2 years ago

Find all of the missing sides or angles in the right triangle

Mathematics

1 answer:

shutvik [7]2 years ago

4 0

Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08

sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25

∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°

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Covert (3×10²)(2×10³) to scientific notation. Show work please.

leonid [27]

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3 years ago

Suppose f (x) = x^2. Find the graph of f(x+2)

NISA [10]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
~~~~y={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)={{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
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f(x)={{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
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f(x)={{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
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--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
~~~~~~if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
~~~~~~if\ {{ D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind,

$\bf f(x)=x^2\qquad \quad f(x+2)=(x+2)^2\implies f(x+2)=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+2})^2\stackrel{D}{+0}$

C = 2 B = 1 C/B = 2/1 or +2, horizontal left shift of 2 units

f(x) shifted left by 2 units is f(x+2).

8 0

2 years ago

1.) Write the slope-intercept form of the equation for the line.

Vinvika [58]

Answer:

Step-by-step explanation:

4 0

3 years ago

Answer this in two minutes

gregori [183]

Hey there! :)

Answer:

y = x - 3.

Step-by-step explanation:

Given:

Slope = 1

Point on line: (8, 5)

Plug these into the formula y = mx + b, where:

m = slope

x = x coordinate of point

y = y coordinate of point

5 = 1(8) + b

5 = 8 + b

Subtract both sides by 8:

5 - 8 = 8 -8 + b

-3 = b

Rewrite the equation:

y = x - 3.

4 0

3 years ago

A planr leaves and flies due north at 280 miles per hour. AT the same time another plane takes off from the same airport and fli

kompoz [17]

Answer:

Distance between the two planes after 1 hour = 410 miles

Step-by-step explanation:

Given - A plane leaves and flies due north at 280 miles per hour. At

the same time another plane takes off from the same airport

and flies due east at a speed of 300 miles per hour.

To find - What is the distance between the two planes after 1 hour ?

Proof -

Given that , Plane 1 flies due north at a speed of 280 miles per hour.

So,

Total distance traveled in 1 hour = 280 miles

Also,

Plane 2 flies due east at a speed of 300 miles per hour.

So,

Total distance traveled in 1 hour = 300 miles.

The diagram is as follows :

Now,

We have to find the distance after 1 hour i.e. AC

In Triangle ABC ,

By using Pythagoras theorem, we get

AC² = BC² + AB²

⇒AC² = (300)² + (280)²

⇒AC² = 90,000 + 78,400

⇒AC² = 168,400

⇒AC = √168,400

⇒AC = 410.366 ≈ 410

∴ we get

Distance between the two planes after 1 hour = 410 miles

7 0

3 years ago