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Tanya [424]
1 year ago
5

Write the expanded form of 5360

Mathematics
1 answer:
Over [174]1 year ago
4 0

Answer:

5000+300+60+0

Step-by-step explanation:

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If it's possible to tell, decide if a and b are positive or negative: a-3>b-3 and b>4
Svetllana [295]

Answer:

a and b are positive

Step-by-step explanation:

We are given that

a-3>b-3

b>4

We have to find that a and b are positive or negative.

We have

b>4

It means b is positive and greater than 4.

a-3>b-3

Adding 3 on both sides

a-3+3>b-3+3

a>b>4

\implies a>4

Hence, a is positive and greater than 4.

Therefore, a and b are positive

6 0
2 years ago
A blimp provides aerial tv views of a soccer game. The camera sights the stadium at a 7 degree angle of depression. The altitude
maria [59]

Given that,

The camera sights the stadium at a 7 degree angle of depression.

The altitude of the blimp i slide 300 m.

To find,

The line of sight distance from the camera to the stadium.

Solution,

If we consider a right angled triangle. Let x is its hypotenuse i.e. the line of sight distance from the camera to the stadium. Using trigonometry :

\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\=\dfrac{300}{\sin7}\\\\=2461.65\ m

So, the line of sight is at a distance of 2461.65 m from the camera to the stadium.

6 0
3 years ago
Pythagorean’s 14 in 15 in x
Flura [38]

Answer:

210x

Step-by-step explanation:

5 0
3 years ago
The components of vector are given as follows: ax = +6.1 ay = -8.6 the angle measured counterclockwise from the x-axis to vector
r-ruslan [8.4K]

The tangent of the angle is

... tan(α) = ay/ax = -8.6/6.1

Then the angle (measured CCW from +x) is

... α = arctan(-86/61) ≈ 305°

8 0
3 years ago
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
3 years ago
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