(2. Given that AABC is similar to ADEC, find the values of the unknowns in the figure.
7.3 cm
А Ar
B
489
8 cm
С
10 cm
60°
E
D
y cm

Answer:

Hi

The answers is

W=36 ÷ 4

Answer:

The equation of the normal is y = 4 - 2·x

Step-by-step explanation:

The given equation of the circle, is presented as follows;

(x - 3)² + (y + 2)² = 20

The point of the normal of the circle = (1, 2)

The equation of the normal to a circle, x² + y² + D·x + E·y + F = 0 at a point P(x₁, y₁) is given as follows;

[tex]\dfrac{y - y_1}{x - x_1} = \dfrac{2 \cdot y_1 + D}{2 \cdot x_1 + E}[/tex]

Expanding the given equation of the circle, gives;

(x - 3)² + (y + 2)² = x² + y² - 6·x + 4·y + 13 = 20

∴ x² + y² - 6·x + 4·y + 13 - 20 = x² + y² - 6·x + 4·y - 7 = 0

x² + y² - 6·x + 4·y - 7 = 0

∴ x₁ = 1, y₁ = 2, D = -6, E = 4, and F = 13

Which gives;

[tex]\dfrac{y - 2}{x - 1} = \dfrac{2 \times 2 + 4}{2 \times 1 + (-6)} = \dfrac{8}{-4} = -2[/tex]

∴ y - 2 = -2 × (x - 1) = 2 - 2·x

y = 2 - 2·x + 2 = 4 - 2·x

The equation of the normal to the circle with equation (x - 3)² + (y + 2)² = 20, at the point (1, 2) is y = 4 - 2·x

Answer:

17.3 if I am right mark me brainless pls

Answer: To write an equation

y= 7x+38

Answer:

A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?

Answer: 2 11/12

Step-by-step explanation: 3 1/3+−2 1/4+1 5/6

10/3−2 1/4+1 5/6

10/3−9/4+1 5/6

13/12+1 5/6

13/12+11/6

35/12

2 11/12

Answer:

Here is the answer. hope this helps you

Answer:

Perpendicular = 6 meter (Approx.)

Length of fence required = 18.81 meter

Step-by-step explanation:

Given:

One side of triangle = 5 m

Angle with side and hypotenuse = 50°

Find:

Other sides

Length of fence required

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

For 50° angle , 5 m is base

Tan 50 = Perpendicular / 5

1.1917 = Perpendicular / 5

Perpendicular = 5.9585

Perpendicular = 6 meter (Approx.)

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √6² + 5²

Hypotenuse = √36 + 25

Hypotenuse = √61

Hypotenuse = 7.81 meter (Approx.)

Length of fence required = 5 + 6 + 7.81

Length of fence required = 18.81 meter

I'll answer ur question but the image is blurry

Answer:

2s+2s

hope this helps

have a good day :)

Step-by-step explanation:

The interquartile range (IQR) is the box plot showing the middle 50% of scores and can be calculated by subtracting the lower quartile from the upper quartile (e.g. Q3−Q1).

Look at the picture below to get a better understanding:

Answer:

9

Step-by-step explanation:

IQR is the length of the box

To start, take the max of the box (which is 15)

And then subtract the min of the box (which is 6)

15-6=9

9 is the IQR

Answer: 2 2/3

Step-by-step explanation:

-2 1/3-(-5)

-7/3-(-5)

8/3

2 2/3

Answer:

13 cents / ounce

Step-by-step explanation:

$4.16÷32= $0.13 cents/ounce.

Answer: Yes

Step-by-step explanation: Well 25% off of $20 is $15.

Answer:

1) A serious girl - Una chica seria/Una joven seria

2) The talented boy - El chico talentoso/El joven talentoso

3) An outgoing girl - Una chica extrovertida/Una joven extrovertida

4) The tasty ice cream - El helado delicioso/El helado sabroso

5) A funny book - Un libro divertido/Un libro entretenido

Step-by-step explanation:

Now, we present a possible set of solution, as there are solutions as many synonyms exist in Spanish. Then:

1) A serious girl - Una chica seria/Una joven seria

2) The talented boy - El chico talentoso/El joven talentoso

3) An outgoing girl - Una chica extrovertida/Una joven extrovertida

4) The tasty ice cream - El helado delicioso/El helado sabroso

5) A funny book - Un libro divertido/Un libro entretenido

Answer:

298.24 mph at an angle of 89 degrees

Step-by-step explanation:

[tex]v_p[/tex] = Velocity of plane = 300 mph at 50 degrees

[tex]v_j[/tex] = Velocity of jet stream = 200 mph at 160 degrees

The velocity of the plane in component form is

[tex]v_p=300\cos50^{\circ}\hat{i}+300\sin50^{\circ}\hat{j}[/tex]

The velocity of the jet stream in component form is

[tex]v_j=200\cos160^{\circ}\hat{i}+200\sin160^{\circ}\hat{j}[/tex]

Resultant velocity is given by

[tex]v=(300\cos50^{\circ}+200\cos160^{\circ})\hat{i}+(300\sin50^{\circ}+200\sin160^{\circ})\hat{j}\\\Rightarrow v=4.9\hat{i}+298.2\hat{j}[/tex]

Magnitude is given by

[tex]|v|=\sqrt{4.9^2+298.2^2}\\\Rightarrow |v|=298.24\ \text{mph}[/tex]

Angle is given by

[tex]\theta=\tan^{-1}\dfrac{298.2}{4.9}=89^{\circ}[/tex]

The velocity of the plane is 298.24 mph at an angle of 89 degrees.

Answer:

150°

Step-by-step explanation:

180-30=150...............

Answer:

150º

Step-by-step explanation:

the value of q is 180º, so 180 - 30 = 150

Answer:

0.08, 8 hundreths, 8 x 1/100

Step-by-step explanation:

The first digit before the decimal is a unit.

The first digit after the decimal point is called a tenth

The second digit after the decimal point is called hundreths

The third digit after the decimal point is called a thousandths

The 8 is the second digit after the decimal point.

Therefore the answer is eight hundreths or represented by the decimal form of 0.08

It is also 8 x 1/100 because if we multiply this we get 0.08

Answer:

27

Step-by-step explanation:

Jeffrey has three choices for breakfast: toast, cereal, or pancakes. Then, he has three choices for lunch: toast, cereal, or pancakes. Finally, he has three choices for dinner: toast, cereal, or pancakes.

Putting these together, Jeffrey has 3 * 3 * 3 = 27 possible ways to select the three meals.

Answer:

41235

Step-by-step explanation:

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,

The total number of times where each number will occur or be at first place is calculated as:

4! = 4 × 3 × 2 × 1

= 24

Hence,

24th number = The last number where 1 is at first place

We can write this out as:

12345

12354

12435

12453

12534

12543

13245

13254

13425

13452

13524

13542 e.t.c.

48th number = The last number where 2 is at first place

72nd place = The last number where 3 is at first place.

This means, the 73rd number is the first number where 4 is at first place.

Therefore, the 73rd number based on pattern is 41235

Answer: 34.25/6.5

Step-by-step explanation:

2.5*13.7=34.25

4.9+1.6=6.5

Step-by-step explanation:

2.5x13.7=34.25

4.9+1.6=6.5

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]C=\pi D[/tex]

[tex]79.5=\pi D\\[/tex]

divide by [tex]\pi[/tex]

D = 25.30

radius = [tex]\frac{d}{2}[/tex]

[tex]\frac{25.30}{2} =12.65[/tex]

Answer:

r approx 12.7

d approx 25

Step-by-step explanation:

Answer:

Answer:

108π mm.

Step-by-step explanation:

The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.  

But:

circumference is given by:

C=2*π*radius

The distance traveled by the hand in 12 hours will be:

2**36=76π mm

The distance traveled in 45 min will be:

0.75/12 *72π=4.5π mm

in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.

Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:

2*π*54mm=108π mm.

Hence;

in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm

Answer:

D

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:

|4.1 -(-4.7)|

|4.1 + 4.7|

|8.8|

8.8