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3 years ago

A 3.5 ft by 5.5 ft mirror is placed in a wooden frame. What is the area of the frame

Mathematics

2 answers:

Alborosie3 years ago

8 0

Answer:

19.25ft

Step-by-step explanation:

area = length x width so 3.5 x 5.5 = 19.25

fredd [130]3 years ago

8 0

Answer:

The area of the frame is 19.25 feet.

Step-by-step explanation:

We can see from the information that the wooden frame is a rectangle since length and breadth are unequal.

breadth = 3.5 ft

length = 5.5 ft

The formula for area of a rectangle is = A = L x b

Area = 3.5 * 5.5

Area = 19.25 feet

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Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y

choli [55]

Looks like the equation is

$y(t)+9\displaystyle\int_0^te^{9(t-v)}y(v)\,\mathrm dv=\sin(3t)$

Differentiating both sides yields the linear ODE,

$y'(t)+9e^{9(t-t)}y(t)=3\cos(3t)$

$y'(t)+9y(t)=3\cos(3t)$

Multiply both sides by the integrating factor $e^{9t}$ :

$e^{9t}y'(t)+9e^{9t}y(t)=3e^{9t}\cos(3t)$

$\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)$

Integrate both sides, then solve for $y(t)$ :

$e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C$

$y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}$

The given answer choices all seem to be missing <em>C</em>, so I suspect you left out an initial condition. But we can find one; let $t=0$ , then the integral vanishes and we're left with $y(0)=0$ . So

$0=\dfrac{0+3}{10}+C\implies C=-\dfrac3{10}$

So the particular solution is

$y(t)=\dfrac{\sin(3t)+3\cos(3t)-3e^{-9t}}{10}$

6 0

2 years ago

Please help me, due soon

antiseptic1488 [7]

Answer:

B. 21 and 19/25

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

21.76=21.761

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 102 = 100

21.761×100100=2176100

Find the Greatest Common Factor (GCF) of 2176 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4,

2176÷4100÷4=54425

Simplify the improper fraction,

=211925

In conclusion,

21.76=211925

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Step-by-step explanation:

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