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sp2606 [1]
3 years ago
14

In what quadrant does the angle 9pi/ 5 terminate?

Mathematics
2 answers:
Anettt [7]3 years ago
7 0

9514 1404 393

Answer:

  9π/5 terminates in Quadrant IV

Step-by-step explanation:

The attached shows the terminal ray (OP) of the angle with measure 9π/5 ≈ 5.65 radians. It lies in the 4th quadrant.

aev [14]3 years ago
3 0

the angle 4pi/5 in quadrent 2

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samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many
Morgarella [4.7K]

Answer:

20 = 6m  or  m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6

Thus, the equation is m = 20/6.

<em>~ an aesthetics lover</em>

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3 years ago
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Larry buys a tent that is on sale for 25% off the original price. The original price is $80 more than the sale price. What is th
myrzilka [38]

Answer:

The original price of the tent = $320

Step-by-step explanation:

Let the original price be =$ x

Discount offered  = 25% of the orignal price = \frac{25}{100}\times x=0.25\times x =\$ 0.25x

Original price is $80 more than sale price

Discount = Original price - Sale price = $80

So, we have

0.25x=80

We need to solve for x to find original price

Dividing both sides by 0.25

\frac{0.25}{0.25}x=\frac{80}{0.25}\\x=\$320

∴ The original price of the tent = $320

3 0
3 years ago
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Oliga [24]

Answer:

\displaystyle 1)48.2    \:  \: \text{sec}

\rm \displaystyle  2)3021.6 \: m

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

\displaystyle  - 4.9 {t}^{2}  + 229t + 346 = 0

to solve the equation can consider the quadratic formula given by

\displaystyle x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4 ac} }{2a}

so let our a,b and c be -4.9,229 and 346 Thus substitute:

\rm\displaystyle t =  \frac{ - (229) \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

remove parentheses:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

simplify square:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}

simplify multiplication:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 6781.6} }{ - 9.8}

simplify Substraction:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 45659.4} }{ - 9.8}

by simplifying we acquire:

\displaystyle t = 48.2  \:  \:  \: \text{and} \quad  - 1.5

since time can't be negative

\displaystyle t = 48.2

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

\displaystyle x _{  \text{max}} =  \frac{ - b}{2a}

let a and b be -4.9 and 229 respectively thus substitute:

\displaystyle t _{  \text{max}} =  \frac{ - 229}{2( - 4.9)}

simplify which yields:

\displaystyle t _{  \text{max}} =  23.4

now plug in the maximum t to the function:

\rm \displaystyle  h(23.4)- 4.9 {(23.4)}^{2}  + 229(23.4)+ 346

simplify:

\rm \displaystyle  h(23.4)  =  3021.6

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0
2 years ago
If answer is correct I will mark as brainliest.
Serga [27]

Answer:

c

Step-by-step explanation:

8 0
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Calculate the average (arithmetic mean) for the data set (rounded to the nearest tenth
Ugo [173]

The right answer is 19.9

Step-by-step explanation:

Given data set is;

(18, 23, 17, 25, 15, 18, 18, 16, 27, 25, 18, 19)

Sum of terms = 18+23+17+25+15+18+18+16+27+25+18+19 = 239

Number of terms in data set = 12

Average = \frac{Sum\ of\ terms}{Number\ of\ terms}

Average = \frac{239}{12}

Average = 19.91

The average of data set is 19.91

The right answer is 19.9

Keywords: average, addition

Learn more about addition at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#LearnwithBrainly

5 0
3 years ago
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