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4 years ago

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal

Mathematics

1 answer:

tia_tia [17]4 years ago

8 0

Answer:

(2/5)√5 ≈ 0.894427

Step-by-step explanation:

You require the y-coordinate of the point that satisfies two equations:

x^2 +y^2 = 1

y = 2x

Substituting for x, we have ...

(y/2)^2 +y^2 = 1

y^2(5/4) = 1

y^2 = 4/5

y = (2/5)√5 ≈ 0.894427

The sine of the angle is (2/5)√5 ≈ 0.894427.

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A car has a windshield wiper on the driver's side that has total arm length of 10 inches. It rotates

son4ous [18]

Answer:

75.44 Square Inches

Step-by-step explanation:

The diagram of the problem is produced and attached.

To determine the area of the cleaned sector:

Let the radius of the larger sector be R

Let the radius of the smaller sector be r

Area of the larger sector $=\frac{\theta}{360}X\pi R^2$

Area of the smaller sector $=\frac{\theta}{360}X\pi r^2$

Area of shaded part =Area of the larger sector-Area of the smaller sector

$=\frac{\theta}{360}X\pi R^2-\frac{\theta}{360}X\pi r^2\\=\frac{\theta \pi}{360}X (R^2- r^2)$

From the diagram, R=10 Inch, r=10-7=3 Inch, $\theta=95^\circ$

Therefore, Area of the sector cleaned

$=\frac{95 \pi}{360}X (10^2- 3^2)\\=75.44$ Square Inches$

7 0

3 years ago

Use the standard normal distribution to find P(-2.25 < z < 1.25)

Ede4ka [16]

Here we have to find the probability $P(-2.25$ . Now express the probability in terms of standard normal cumulative distribution function. That is $\Phi(x)=P(z$ .

$P(-2.25$

Now you can look up the probability from the standard normal tables. Its value is

$P(-2.25$

3 0

3 years ago

Read 2 more answers

Is w^2-9w+81 a trinomial square

Yuri [45]

No because it would be
if you knew that
ax^2+bx+c was a trinomial square, then the factored form would be
$( \sqrt{a}x+ \sqrt{c})^{2}$ or $( \sqrt{a}x- \sqrt{c})^{2}$
so
if w^2-9w+81 is perfect square, factored form is either
$( \sqrt{1}x+ \sqrt{81})^{2}$ or $( \sqrt{1}x- \sqrt{81})^{2}$ aka $( x+9)^{2}$ or $( x-9)^{2}$
expand them
(x+9)^2=x^2+18x+81, wron middle term

(x-9)^2=x^2-18x+81 wrong

so it is not

8 0

3 years ago

What number should

eduard

I believe it is 4 to make it able to divide by both sides

6 0

3 years ago

Umbers to complete the problems below. 14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distan

joja [24]

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

<h3>How to convert decimal to fractions.</h3>

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

Learn more about fractions on:

brainly.com/question/17220365

5 0

2 years ago