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4 years ago

PLZ HELP FAST!!!

Mathematics

1 answer:

maxonik [38]4 years ago

7 0

Answer:

The range of possible values for the third side called c is;

11 > c or c < 11

Step-by-step explanation:

Here in this question, we are concerned with giving the range of the third side of the triangle.

What we will be using to get this range is the triangle inequality theorem.

Mathematically, the sum of the length of the two sides must be greater than the length of the third side.

So let’s call the third side c

Thus, the range of values we are to work with is;

5 + 6 > c

11 > c

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I really need help on this one

ladessa [460]

Answer:

Step-by-step explanation:

1.Find X

x^2 +8x+15 = (x+5)

-x -x

x^2+7x+15=5

-5 -5

x^2 +7x+10=0

Do the quadralic formula

a=1 b=7 c=10

-7±√7^2-4(1)(10)

2(1)

-7±√49-40

-7±√9

-7±3

divide 2 by each number

-3.5 ± 1.5

-3.5+1.5 -3.5-1.5

-2 -5

x= -2 x=-5

2. find the length of the garden

-2+5 =3

the length is 3

3. plug in the length to the area of the garden

-5^2+8(-5)+15=3

solve

25-40+15=3

0=3

the width of the garden is 3 square feet

7 0

3 years ago

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul

kondaur [170]

Answer:

Calculators from the beginning of the third week to the end of the fourth week = 4048.

Step-by-step explanation:

We know that the rate of production of these calculators after t weeks is given by

$\frac{dx}{dt} =5000(1-\frac{100}{(t+10)^{2}})$

To find the number of calculators that have been produced in a period, we need to take the integral of the function above; the desired time is t=2 (beginning of third week) to t=4 (end of the fourth week). Therefore, the number of calculators produced in the given time is

$\int\limits^4_2 {\frac{dx}{dt} } \, dt = \int\limits^4_2 {5000(1-\frac{100}{(t+10)^{2} }) } \, dt$