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2 years ago

Im giving 20 points, can someone help?

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

∠1 = 3x + 18 {Vertically opposite angles}

∠1 + 28° = 90

3x + 18 + 28 = 90

3x + 46 = 90

3x = 90 - 46

3x = 44

x = 44/3

$x = 14 \dfrac{2}{3}$

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You have 4/6 of a cup of lemonade concentrate. If you mix 1/3 of a cup of the concentrate with a quart of water you make a small

Vadim26 [7]

Answer:

Numbers of pitchers of lemonade = 8

Step-by-step explanation:

Given as

Amount of lemonade concentration = $\frac{4}{6}$ of a cup

Now, $\frac{1}{3}$ of a cup of concentration mix with $\frac{1}{4}$ of water

So, $\frac{1}{3}$ - $\frac{1}{4}$ = $\frac{1}{12}$ of cup of lemonade,

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= 4 × 2 = 8 Answer

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3 years ago

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borishaifa [10]

Answer:

h = -7

Step-by-step explanation:

Given:

-49 = 7h

Divde both sides by 7:

-7 = h

Check:

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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

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