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adell [148]
3 years ago
6

Sonya and Isaac are in motorboats located at the center of a lake. At time t=0, Sonya begins traveling south at a speed of 36 mp

h. At the same time, Isaac takes off, heading east at a speed of 27mph. How fast is the distance between them changing after 12 minutes?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

the speed btn sonya and issac would make a right angled trangle hence easy 2 solve through pythogoras

{36}^{2}  +  {27}^{2}  = 2025

then find the

\sqrt[?]{?}

hence get 45

since it was 12 mins we need 2 multiply by 12

hence

45 \times 12 = 540

Therefore it's 540mph

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Do all perpendicular lines have negative reciprocal slopes?
inna [77]

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

6 0
3 years ago
For the set C= {6,8}, determine n(C).
nasty-shy [4]

Step-by-step explanation:

Hey, there!!

C = {6,8}

n(C) means cardinality of set.

We define cardinality of set as the no. of elements present in set.

It contains 2 no. of elements.

so, its cardinality is n(C) is 2.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
A business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equi
NemiM [27]

The business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equivalent to a yearly increase of 49.0%.

Given that, A=£17000, P=£186000, r=x%, t=6 years

<h3>What is compound interest?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

We know that, A=P(1+\frac{r}{100} )^{n}

Wow, 186000=17000(1+\frac{x}{100} )^{6}

⇒10.94=(1+\frac{x}{100} )^{6}

⇒1.4891=1+\frac{x}{100}

⇒0.4891=\frac{x}{100}

⇒x=48.91%~49.0%

Therefore, the value of x is 49.0%.

To learn more about compound interest visit:

brainly.com/question/13001287

#SPJ1

7 0
2 years ago
Lucas’s computer took 480 seconds to download 30 songs. How many seconds per song did it take his computer to download?
Arte-miy333 [17]

Answer:

16 seconds per download

Step-by-step explanation:

480/30 = 16 seconds

4 0
3 years ago
Read 2 more answers
Simplify: –3(y + 2)2 – 5 + 6yWhat is the simplified product in standard form?
sweet-ann [11.9K]

Answer by Mimiwhatsup:

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6\\=-6\left(y+2\right)-5+6y\\-6\left(y+2\right)\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=-6,\:b=y,\:c=2\\=-6y+\left(-6\right)\cdot \:2\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-6y-6\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12\\=-6y-12\\=-6y-12-5+6y\\\mathrm{Simplify}\:-6y-12-5+6y\\Group\:like\:terms\\=-6y+6y-12-5\\\mathrm{Add\:similar\:elements:}\:-6y+6y=0\\=-12-5\\

\mathrm{Subtract\:the\:numbers:}\:-12-5=-17\\Answer is: =-17

6 0
3 years ago
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