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3 years ago

Find the measure of angle 1 60 degrees 72 degrees 36 degrees 54 degrees

Mathematics

1 answer:

GarryVolchara [31]3 years ago

3 0

The sum of all angles (around the black dot) is 360°

All 5 angles (if you forget the red line) are the same; so each angle is 360°/5 = 72°

So Angle 1 is 72°

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What kind of shift does the graph have? y = -sin (x-1) from y = sin(x)

Mademuasel [1]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}
\end{array}
\\\\
-------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

$\bf \bullet \textit{vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)$

now, with that template in mind, let's see

$\bf \begin{array}{lllll}
y=&-1sin(&1x&-1)&+0\\
&A&B&C&D
\end{array}
\\\\\\
\textit{horizontal shift of }\cfrac{C}{B}\implies \cfrac{-1}{1}\implies -1
\\\\\\
\textit{A is negative, so is flipped upside-down}$

8 0

2 years ago

A lioness has 4 cubs that weigh 1.7 kg, 2.1 kg, 3 kg, and 2.7 kg. Each cub eats 1.25 kg of food a

Vladimir [108]

Answer:

2.375

Step-by-step explanation:

( 1.7 kg+2.1 kg+3 kg+ 2.7 kg)/4=2.375

8 0

2 years ago

Read 2 more answers

The variable, y, varies directly with x. If y = 26 when x = 21,<br> what is y when x = 64?

STatiana [176]

Answer:

y=69

Step-by-step explanation:

first step:when y=26 and x=21

c=y-x

c=26-21

c=5

second step: when y is unknown and x=64

To find y we simply add the value of c to x

y=x+c

y=64+5

y=69

6 0

2 years ago

Help please, I need to figure this problem out

yarga [219]

Answer:

AB is parallel to BE because it is an equilateral triangle.

BE is parallel to EC because it has 2 of the same angles to the same sides are equal.

Hope that helps, it's a tad hard to explain

7 0

3 years ago

PLEASE HELP ME WITH MATH

Alexxandr [17]

Answer:

down below

Step-by-step explanation:

1) 4% of 120 = 4.8, so 120+4.8 = 124.8 cm tall

2) 12% of 6000 = 720 . 6000-720 = 5280 gallons

3) 22% of 200 = 44 . 200-44 = 156

4) 30% of 40 - 12 . 40 - 12 = $28

5) 35% of 140 = $49 . 140 + 49 = $189

4 0

2 years ago