25 penalties decreased by 32%?

Find the Laplace Transform of the following function. f(t) = 10 cos (12t+ 60°) u(t)

allsm [11]

Answer:

L(f(t)) = $\frac{5s - 60\sqrt{3} }{s^2 + 144}$

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = $\frac{5s - 60\sqrt{3} }{s^2 + 144}$

8 0

3 years ago

Need help!

Nataliya [291]

For this case, what you must do is find the area of the two rectangles shown in the figure.

We have then:

Rectangle 1:

A1 = (40) * (18)

A1 = 720

Rectangle 2:

A2 = (24-18) * (40-30)

A2 = (6) * (10)

A2 = 60

The area of the composite figure is:

A = A1 + A2

A = 720 + 60

A = 780 feet ^ 2

Answer:

 the area of the figure is:

 C. 780 ft ^ 2

8 0

3 years ago

Need help with finding the volume of a right triangular prism

dezoksy [38]

Answer:

The volume of the right triangular prism is 55.4 inches³

Step-by-step explanation:

* Lets study the problem

- The triangular prism 5 faces, two triangular base and three

rectangular side faces

- The volume of any prism = Area of its base × its height

- The base of the triangular prism is a triangle

∴ The volume of the triangle prism = Area of the triangle × its height

- In the figure the base is equilateral triangle of side length 4 inches

- The area of the equilateral triangle = √3/4 s², where s is

the length of its side

* we got this area from the rule ⇒ AΔ = (1/2) × s1 × s2 × sinФ,

where Ф is the angle between s1 and s2. In the equilateral Δ

s1 = s2 = s and Ф = 60, then its area = (1/2) × s × s × sin(60),

area of the equilateral Δ = (1/2) × s² × √3/2 = √3/4 s²

∴ The area of the base = √3/4 × (4)² = √3/4 × 16 = 4√3 inches²

* Now we can find the volume of the prism

∵ Area of the base = 4√3 inches²

∵ The length of its height = 8 inches

∵ The volume = area of the base × height

∴ The volume = 4√3 × 8 = 32√3 = 55.4 inches³

* The volume of the right triangular prism is 55.4 inches³

6 0

3 years ago

Answer quick 100 points

Volgvan

Answer:

A) three-fourths of a number plus two

Step-by-step explanation:

To find out what the answer is, we first need to translate the sentence into numbers, which will give us:

$\frac{3}{4}$ x+2

We can see that we are multiplying an unknown number, x, by three fourths, so we know that we are taking three-fourths of a number, and we also know that we are then adding two. We are not dividing or subtracting, so we know it can't be B or D. We also know that we are multiplying three-fourths by x, not two so we know that it can't be C. So our only option is A, So the correct answer is:

A) three-fourths of a number plus two

Hope this helps, please mark as brianliest

7 0

3 years ago

Read 2 more answers

Which of the following answer choices would satisfy the inequality below? -2.74 < x < -2.35

Helga [31]

Answer: -3pi/4

Step-by-step explanation:

-3pi/4 = -2.35619

-2.35619 is closer to 0 making it greater than -2.74 but less than -2.35 bc -2.35 is closer to 0 than -2.35619 is so.... (the greater the negative number, the less value it has)

-2.74 < -3pi/4 < -2.35

hope this helps ^_^

4 0

3 years ago