Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit

Answer:

a) The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is approximately 14.866 centimeters.

Step-by-step explanation:

a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:

[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]

[tex]A = 43\,cm^{2}[/tex]

The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is determined by Pythagorean Theorem:

[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)

[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]

[tex]AQ \approx 14.866\,cm[/tex]

The length of the line segment AQ is approximately 14.866 centimeters.

Answer:

Total cost of meal = $188.60

if he paid 15% and left 15% altogether =15%+15%

=30%

Hence,the total cost will be

= $188.60 * 30/100

=$56.58

I hope this helps

Step-by-step explanation:

Let H = HCF(A,B) and L = LCM(A,B)

Then A*B = L*H

Here L*H = 100*5 = 500

Also H <= A ,B <= L

So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

Here 500 = 2^2 * 5^3

so possible values of A and B are

1 , 500

2, 250

4, 125

5,100

10,50

20,25

(assuming order doesn’t matter.)

so pairs satisfying given condition are → (20,25) and (100,5)

You can write a computer program in language of your choice to do it for other bigger numbers.

Answer:

d. none of these

Step-by-step explanation:

Area of square= side ×side

Let x meters be the length of a side of the square.

Perimeter= 4(side)

4x= 40

Dividing by 4 throughout:

x= 40 ÷4

x= 10

Area of garden

= x²

= 10²

= 100m²

Answer:

d

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

From the boxplot attached :

Summer lake :

Median = 60 ( point in between the box)

Variability is given by the Range = maximum - minimum = 80 - 40 = 40

Maximum number of visitors = 80

Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day

Canyon Overlook:

Median = 80 ( point in between the box)

Variability is given by the Range = maximum - minimum = 120 - 30 = 90

Maximum number of visitors = 120

Answer:

Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Step-by-step explanation:

A continuación, vamos a emplear las siguientes identidades trigonométricas:

[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)

[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)

Ahora aplicamos estas identidades a la identidad descrita en el enunciado:

[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]

[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]

[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]

[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]

[tex]1 = 1[/tex]

Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Answer:

- 8x + 17

Step-by-step explanation:

7(2 - x) - (x - 3)​

14 - 7x - x + 3

- 8x + 14 + 3

- 8x + 17

Answer:

a) 41.666...%

b) 10/120 or 1/12

Step-by-step explanation:

50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%

10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12

:) ur welcome

Answer:

Since you didn't ask for the answer

Step-by-step explanation:

sec(∆)=1/cos(∆)

For the above diagram,cos(∆)=15/17

sec(∆)=1/(15/17)

NOTE:I replaced theta

Answer:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):

[tex]o=\sqrt{13^2-5^2}=12[/tex]

And since θ is in QII, sine is positive, and cosine and tangent are both negative.

Sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Answer:

-3/4 meters could represent where the emerald is located in.

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.

Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.

Long story short your answer is -3/4 meters :D

Answer:

B

Step-by-step explanation:

The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.

Answer:

$2419

Step-by-step explanation:

week2 - (week1 + week3) = difference

28473 - (13674 + 12380) = 2419

Answer:

-1/3

Step-by-step explanation:

at x=0 y= 5

at x=3 y= 4

y=ax+b

b= 5

4=3x+5

3x= -1

x= -1/3

[tex]y = - \frac{x}{3} + 5[/tex]

Answer:

3c + 9

Step-by-step explanation:

Remember to multiply everything in the brackets by the number outside the brackets.

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

The conclusion is wrong

Step-by-step explanation:

The following steps are given

[tex]5(x-2)-3x=2(x-3)-16[/tex]

[tex]5x-10-3x=2x-6-16[/tex]

[tex]2x-10=2x-22[/tex]

[tex]-10=-22[/tex]

Required

The error

Going through the steps, we can see that there are no mistakes in any of the step.

However, the conclusion that there are infinitely many solutions is wrong

because the solution actually has no solutions.

Answer:

no solutions

I believe

hope I helped

Step-by-step explanation:

Answer:the same?

4y=-3x+20

I’m not quite sure

Answer:

KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]

Step-by-step explanation:

Kinetic Energy (KE) = (1/2)*mass*v^2

KE=(1/2)*.14*40^2

KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]

Answer:

who is the captain of the football team

Step-by-step explanation:

i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is

Answer:

A

Step-by-step explanation:

3 goes into 9

4 goes into 12

And 5 goes into 20

Answer:

6 percent

Step-by-step explanation:

None

Answer:

you will subtract the power

Answer:

x= 52

Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?

Answer:

The answer after rounding is 24

Step-by-step explanation:

You would round down 3.4 to 3 and round up 7.5 to 8

3 x 8 = 24

The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.

Answer:

140

Step-by-step explanation:

40 divided by 16 = 2.5 .  350 divided by 2.5=140 hope this helped

Answer:

The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have

Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

Learn more about sin(θ) here:

https://brainly.com/question/1870057

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