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3 years ago

Please help the above following questions asap. Thanks A Lot !!! :)

Mathematics

2 answers:

tester [92]3 years ago

7 0

Question (a):
cos(45°) = adjacent/hypotenuse
adjacent = hypotenuse × cos(45°)
adjacent = 7 × cos(45°)
adjacent = 4.9497474683
==> The foot of the ladder is 4.95m from the wall.

laila [671]3 years ago

6 0

Since both are right triangles you can use the Pythagorean Theorem.

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What is an equivalent expression for 1/4x <br>please help ASAP.

Georgia [21]

Answer:

x/4

Step-by-step explanation:

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3 years ago

Given the pre-image of point A is (-2,5), state the coordinates of A'

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If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each pe

Masja [62]

Answer:

18 apples

Step-by-step explanation:

If 18 people each get 12 apples, then the total number of apples is 18*12=216.

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3 years ago

Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds t

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4 years ago

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Find the solution of the given initial value problem in explicit form. y' = (1 – 11x)y?, y(0) = -1 Enclose numerators and denomi

Tanya [424]

Answer:

$y(x)=-e^{x-(\frac{11*x^{2} }{2}) }$

Step-by-step explanation:

This is a separable equation. First divide both sides by y:

$\frac{dy(x)}{\frac{dx}{y(x)} } =-11x+1\\\frac{dy}{y}=(-11x+1)dx$

Integrate both sides:

$\int\ \frac{dy}{y} \ =\int\ (-11x+1) \, dx$

$log(y)=-(\frac{11*x}{2} )+x+ c_1$

Solve for y taking exp to both sides:

$y(x)=c_1*e^{x-(\frac{11*x^{2} }{2}) }$

Where $c_1$ is an arbitrary constant

Evaluating the initial condition:

$y(0)=c_1*e^{0-(\frac{11*0^{2} }{2}) } =-1$

$c_1*e^{0} =-1\\c_1*1=-1\\c_1=-1$

Finally, replacing $c_1$ in the differential equation solution:

$y(x)=-e^{x-(\frac{11*x^{2} }{2}) }$

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