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seraphim [82]
2 years ago
13

Elijah says that 9.12131415... is a rational number. Deena disagrees and says the

Mathematics
1 answer:
natulia [17]2 years ago
8 0

Answer: Deena is correct

Step-by-step explanation:

Deena is correct because the number doesn't terminate nor does it repeat. If it does not repeat or terminate it means it is irrational.

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
2 years ago
Help with setting up these two problems there 2 different problems
ELEN [110]
I'm not good at math i cant help
7 0
3 years ago
Read 2 more answers
The soccer team bought new uniforms for $ 649.62. if there are 12 kids on the team, how much did each uniform cost? ( round answ
lianna [129]

Answer:

$54.14 per soccer uniform

Step-by-step explanation:

649.62/12

= 54.135

Round to the nearest penny - $54.14

4 0
3 years ago
Read 2 more answers
I just got back from winter break for my school and I already forgot everything INCLUDING the seriously easy things ;)
Natasha_Volkova [10]

Answer:

112cm

Step-by-step explanation:

4×2=8

8×2=16

4×8=32

8+16+32= 56×2= 112cm

Hope this helps!

7 0
3 years ago
Read 2 more answers
A store donated a percentage of every sale to. The total sales were ​$6.740 so the store donated ​$337. What percent of ​$6,740
Irina-Kira [14]
Answer - 5%

6740=100%
337= x
Criss cross so do 100x337 and then divide by 6740 and you’ll get 5 which you can check by doing 5/100 of 6740
8 0
2 years ago
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