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3 years ago

HELLPP ASAP!!!! 1. Find the unknown side lengths in these right triangles.

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

Answer:

Step-by-step explanation:

5x2

GalinKa [24]3 years ago

8 0

Okay so for the first one use the pythagorean theorem. 5^2 x 2^2 so simplify that rq. 25 x 4. so now solve that and c=100 which we need to get the square root of. so that would be 10 so c=10

then for the next one the square root of 8 squared is just 8 and 4^2 is 16. so now the equation for that is 8 +y^2= 16 so simplify that and the solution for that is 2√2

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

I HAVE30 min left help

frez [133]

Answer:

I think 10.5 would be the unit price and 10lbs of potatoes and 2lbs of tomatoes would cost less

Step-by-step explanation:

since tomatoes cost 2 times more I decided to act as he only bought potatoes and in that case he would have bought 22lbs of potatoes so I divided 16.50 by 22 and got .75 then I multiplied it by 10 and got 7.5 as well as multiplied .75 by two to get the price of the tomatoes then I added 7.5+3 to get 10.5

3 0

3 years ago

a shopper paid $52 for a handbag during a sale. The handbag was priced at 65% off its original price. Which equation can be used

aleksklad [387]

52 ×.65= X The answer would be $80. Hope i could be helpful :)

8 0

3 years ago

Which numbers are a distance of 5 units from 8 on a number line?

Aneli [31]

13, 3. are the ones i could find

5 0

3 years ago