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zlopas [31]
3 years ago
13

the length of a playground is 40 yards and the width of the playground is 30 yatds. tanya is going to run around the sides of th

e playground to get to the opposite corner. maria is gping to run across the diagonal of the playground. who will run firther?
Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

Maria (I THINK)

Step-by-step explanation:

Tanya is running 70 yards in all, while maria would be running more based on the pythagorean theorem

The pythagorean theorem is that on a right triangle, the square root of the two legs equal the hypotenuse

40^2+ 70^2 =c^2

6500=c^2

square root both sides

and roughly c= 80.6 yards so maria runs more

(Im not sure it is a right angle though?)

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What is the value of the expression 14.72 ÷ 3.2
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Step-by-step explanation:

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Quick Computing Company produces
olganol [36]

Answer:

c(x) = 2x^2 + 6x + 25

Completed question;

Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x. The company also discovered that it costs $45 to produce 2 calculators, $81 to produce 4 calculators, and $285 to produce 10 calculators. Derive the function c(x).

Step-by-step explanation:

Given that;

the cost, c(x), of making x calculators is a quadratic function in terms of x.

c(x) = ax^2 + bx + c

Substituting the 3 case scenarios given;

it costs $45 to produce 2 calculators,

45 = a(2^2) + b(2) + c

45 = 4a + 2b +c .......1

$81 to produce 4 calculators,

81 = a(4^2) + b(4) + c

81 = 16a + 4b + c .......2

and $285 to produce 10 calculators.

285 = a(10^2) + b(10) + c

285 = 100a + 10b + c .......3

Solving the simultaneous equation;

Subtracting equation 1 from 2, we have;

36 = 12a + 2b ......4

Subtracting equation 1 from 3

240 = 96a + 8b .......5

Multiply equation 4 by 4

144 = 48a + 8b ......6

Subtracting equation 6 from 5, we have;

96 = 48a

a = 96/48

a = 2

Substituting a = 2 into equation 4;

36 = 12(2) + 2b

36 = 24 + 2b

2b = 36-24 = 12

b = 12/2 = 6

b = 6

Substituting a and b into equation 1;

45 = 4(2) + 2(6) +c

45 = 8 + 12 + c

c = 45 - (8+12)

c = 25

Since a = 2 , b = 6 and c = 25, the quadratic equation for c(x) is ;

c(x) = ax^2 + bx + c

c(x) = 2x^2 + 6x + 25

5 0
3 years ago
How long would it take for $45 to increase $150 at 6% compounded annually? (Answer to the nearest year.)​
Svetach [21]

Answer:

It wil take approximately 20 years 7 months and 29 days for the account to go from $45 to $150, or 21 years rounded to the nearest year.

+ if this helped, please consider marking it the Brainliest

5 0
3 years ago
Two positive integers are 3 units apart on a number line. Their product is 108.
SVETLANKA909090 [29]

Answer:

d)  the numbers are 9 and 12

Step-by-step explanation:

set each factor equal to 108:

m-12=108

m = 120

*************

m-9=108

m=117

*************

120 and 117 are 3 units apart

****************

9 x 12 = 108

7 0
2 years ago
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