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2 years ago

Describe the vector as an ordered pair around coordinates to the nearest 10th the diagram is not drawn to scale

Mathematics

1 answer:

xxMikexx [17]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

x = r cosΘ

y = r sinΘ

with r = 54 and Θ = 69°, thus

x = 54cos69° ≈ 19.4

y = 54sin69° ≈ 50.4

Thus (54, 69° ) as an ordered pair

= $\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]$

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The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o

Leona [35]

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Step-by-step explanation:

Let the Area of smaller watch face be $A_1$

Also Let the Area of Larger watch face be $A_2$

Also Let the radius of smaller watch face be $r_1$

Also Let the radius of Larger watch face be $r_2$

Now given:

$\frac{A_1}{A_2} =\frac{16}{25}$

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

$A_1 = \pi {r_1}^2$

$A_2 = \pi {r_2}^2$

So we get;

$\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Substituting the value we get;

$\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Now 'π' from numerator and denominator gets cancelled.

$\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}$

Now Taking square roots on both side we get;

$\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}$

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

7 0

3 years ago

Please help me with this homework

Tresset [83]

Hmmm... Maybe divide all the numbers by four and if u get an event number, then that will be your answer!!!

8 0

2 years ago

Read 2 more answers

What sequence begins with the number five and then adds five each time?

rosijanka [135]

Answer:5x

Step-by-step explanation:

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2 years ago

The keyboard of a piano has 88 keys. Generate the equivalent prime factorization of 88.

Verdich [7]

Answer:

11 x 2^3 =11 x 2 x 2 x 2 = 88

Step-by-step explanation:

11 8

2 4

2 2

Use a factor tree it helps a lot :0).

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2 years ago

Solve the equation 4x²+4x+1=0

Natasha2012 [34]

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

7 0

3 years ago