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3 years ago

Plz explain this problem and answer it

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

So the way you would do this problem would be to solve for how many pens he was able to buy if he bought $9.75 worth of pens for $0.75 each. so to find the number of pens you would do 9.75/0.75, which equals a total of 13 pens. so he bought 4 times as many pencils so to find the number of pencils he purchased you would multiply 13 by 4 which equals 52 total pencils. to find the cost that aaron paid total you would multiply 52x0.35 which equals $18.20

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Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

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3 years ago

Find the total area for the regular pyramid T.A. =

Stolb23 [73]

Answer:

The answer to your question is At = 48 + 36 $\sqrt{3}$

Step-by-step explanation:

Area = Area of the base + Lateral area

a) Area of the base

Area = length x height / 2

length = 12

height² = 12² - 6²

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= 108

height = $\sqrt{108}$ = 6 $\sqrt{3}$

Area = 12 x 6 $\sqrt{3} / 2$

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b) Lateral area

height² = 10² - 6²

= 100 - 36

= 64

height = 8

Area = 12 x 8/2

= 48

c) Total area

At = 48 + 36 $\sqrt{3}$

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Step-by-step explanation:

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