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NNADVOKAT [17]
3 years ago
9

What is the name of the shape graphed by the function r = 2 - costheta

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

limaçon (no inner loop)

Step-by-step explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

r = 2 - cos(θ)

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Can you plz answer this for me its graded
KengaRu [80]

Answer:

Kaylynn=$270

Amanda=$250

Step-by-step explanation:

Kaylynn=8.25x32.5=268.125 but since its estimated we round it up to 270.

Amanda=8.75x28.5=249.375 but since its estimated we round up to 250.

5 0
3 years ago
The branch manager of a clothing store is analyzing the average total bill of sale for his location. the national manager has co
nadya68 [22]

Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

<h3>What does the Central Limit Theorem state?</h3>

  • It states that the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.
  • By the Empirical Rule, 95% of the sample means fall within 2 standard errors of the mean.

In this problem, we have that the standard deviation and the sample size are given as follows:

\sigma = 10.34, n = 400

Hence the standard error is given by:

[tex]s = \frac{10.34}{\sqrt{400}} = 0.517.

Two standard errors is represented by:

2 x 0.517 = $1.034.

Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

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2 years ago
4. How many lines of symmetry does a popsicle stick have?
san4es73 [151]

Answer: 2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Robin is flying a kite. She ties the 50 foot kite string to the ground. If the kite is
krok68 [10]

\bold{\huge{\orange{\underline{ Solution }}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u><u> </u><u>Robin </u><u>is </u><u>flying </u><u>a </u><u>kite</u><u>. </u>
  • <u>She </u><u>ties </u><u>the </u><u>5</u><u>0</u><u> </u><u>foot </u><u>kite </u><u>string </u><u>to </u><u>the </u><u>ground </u><u>.</u>
  • <u>The</u><u> </u><u>kite </u><u>is </u><u>flying </u><u>at </u><u>4</u><u>0</u><u> </u><u>feet </u><u>high </u>

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>measure </u><u>of </u><u>the </u><u>angle </u><u>the </u><u>string </u><u>forms </u><u>with </u><u>the </u><u>group </u><u>that </u><u>is </u><u>angle </u><u>of </u><u>elevation</u><u>. </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

<u>According </u><u>to </u><u>the </u><u>given</u><u> </u><u>question</u><u>, </u>

  • Hypotenuse AC ( Distance of string from the ground) = 50 ft.
  • Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.

<h3><u>Therefore</u><u>, </u></h3>

<u>By </u><u>using </u><u>trigonometric </u><u>ratios</u><u>,</u><u> </u>

{ \bold{\pink{ Sin Φ = }}{\bold{\pink{\dfrac{Perpendicular}{Hypotenuse }}}}

\bold{\red{ Cos Φ = }}{\bold{\red{\dfrac{Base}{Hypotenuse }}}}

\bold{\purple{ Sin Φ = }}{\bold{\purple{\dfrac{Perpendicular}{Base }}}} }

<u>The </u><u>Angle </u><u>of </u><u>elevation </u><u>will </u><u>be </u>

<u>[</u><u> </u><u>The </u><u>angle </u><u>that </u><u>is </u><u>formed </u><u>between </u><u>the </u><u>line </u><u>of </u><u>sight </u><u>and </u><u>base </u><u>of </u><u>the </u><u>triangle </u><u>is </u><u>called </u><u>angle </u><u>of </u><u>elevation </u><u>]</u>

\bold{\pink{Sin Φ = }}{\bold{\pink{\dfrac{AB}{AC }}}}

\sf{ Sin Φ = }{\sf{\dfrac{40}{50 }}}

\sf{ Sin Φ = }{\sf{\dfrac{4}{5}}}

\sf{ Sin Φ = 0.8 }

\bold{\green{  Φ = 45.83° }}

Hence, The measure of the angle the string forms with the ground is 45.83° .

7 0
2 years ago
Pls answer this correctly and I will mark it has brainlist
bearhunter [10]

Answer:

X     Y

0     5

1      10

2     15

3     20

4     25

8(?) 40

Step-by-step explanation:

The way the first four are constantly moving upwards at a rate of five per 1x makes me think that the last X value could be 8.

4 0
3 years ago
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