HELP!!!!!!!!!!!!!!!!!

Answer:

43.55

Step-by-step explanation:

1. Use the distance formula on both points AC and AB.

Distance formula is this:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

The area of triangle ABC is 43.5 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shape ABC is a triangle.

Where,

AB = Base

AC = Height

A = (1, 8)

B = (6, 6)

C = (-5, -7)

First, let's find the length of AB using the distance formula:

AB = √((6-1)² + (6-8)²)

= √(25 + 4)

= √(29)

Next, let's find the length of AC using the distance formula:

AC = √((1-(-5))² + (8-(-7))²)

= √(36 + 225)

= √(261)

The area of the triangle ABC can be found using the formula:

Area = (1/2) x base x height

We know that AB is the base and AC is the height,

Area = (1/2) x AB x AC

Area = (1/2) x √(29) x √(261)

Area = (1/2) x √(7569)

Area = (1/2) x 87

Area = 43.5

Therefore,

The area of triangle ABC is 43.5 square units.

Learn more about triangles here:

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The speed of a wave is the product of the wavelength and its frequency.

The speed of the wave is 20m/s

Given

[tex]\lambda = 10m[/tex] --- the wave length

[tex]f =2Hz[/tex] --- the frequency

[tex]A = 3m[/tex] --- the amplitude

The speed of wave (v) is calculated as follows:

[tex]v =f\lambda[/tex]

Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]

[tex]v = 2Hz \times 10m[/tex]

[tex]v = 20ms^{-1}[/tex]

Hence, the speed of the wave is 20m/s

Read more about waves at:

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Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

Given :

On a map with a scale 1: 25000 .

The area of a lake is 33.6 square centimeters.

To Find :

The actual area of the lake.

Solution :

Let, actual area of lake is A.

So,

[tex]\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2[/tex]

We know , [tex]1 \ cm^2 = 10^{-10}\ km^2[/tex]

Area in km² is :

[tex]A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2[/tex]

Hence, this is the required solution.

Answer:

D, F, C

I hope this helps you out! :D

Answer:

A and E

Step-by-step explanation:

I have attached the graph of the problem.

Answer:the sum of the first 20 terms of the sequence 50, 100, 150,.... is equal to

Step-by-step explanation:

Answer:

Just subtract, 400 - 50 = 350, 350 - 50 = 300....etc until you reach (8,0) point on the graph. Graph a straight line down from starting point (0,400) on graph to (8,0). This is your answer subtract 50 from 400 until you reach 0. Starting point (0,400) and ending point (8,0), it's a straight line down ward..

Step-by-step explanation:

Answer:

net amount 143 89 tax 6.25 % which is $8.99 gross amount is $152.88

Answer:

[tex]\frac{X}{UB} = H[/tex] is the answer.

Step-by-step explanation:

Since we are solving for H, we need to get rid of everything that isn't H.

X = UHB can also be shown as X = UBH

Divide by UB on both sides to equal to H.

[tex]\frac{X}{UB} = H[/tex]

This is your answer.

#teamtrees #WAP (Water And Plant)

Answer:

u=79

Step-by-step explanation:

68=u-11

add 11 to 68

u=79

Answer:

Step-by-step explanation:

The triangle is equilateral. That means that <N = 60 degrees

7x - 3 = 60 degrees             Add 3

7x = 60 + 3                           Combine the right

7x = 63                                  Divide by 7

7x/7 = 63/7

x = 9

Answer:

2 m/s

Step-by-step explanation:

Given the graph of the baseball thrown into air.

John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.

The height of the baseball (in metres) is modeled by the function graph with respect to time.

To find:

The average rate of change of height of the ball from the point the ball is thrown to the maximum height.

Solution:

Here, the average rate of change can be found by dividing the distance between the two points with the change in time.

The starting time is 0 seconds.

The starting height is 3 metres.

The ending time is 2 seconds i.e. at which the ball reaches the maximum height.

The height is 7 metres.

Therefore, the average rate of change is:

[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]

Answer:

2 meters per second

Step-by-step explanation: I took the test

Answer:

[tex]m\angle ADC=132^\circ[/tex]

Step-by-step explanation:

The Law of Sines

It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:

[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]

We have completed the figure with the variable x for angle BDA. Thus

[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]

Solving for x:

[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]

Calculating:

[tex]\sin x=0.742[/tex]

[tex]x=\arcsin 0.742[/tex]

[tex]x\approx 48^\circ[/tex]

Since angles ADC and x are linear, their sum is 180° and:

[tex]m\angle ADC=180^\circ-48^\circ[/tex]

[tex]\mathbf{m\angle ADC=132^\circ}[/tex]

(y-4) = 2(X+1)

Step-by-step explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

Answer: y - 4  = 2(x + 1)

Step-by-step explanation:

The point slope form formula says that   y - b = m(x-a)  where  m is the slope,b is the y coordinate of a given point , and a  is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that  m will equal to 2  because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and  a will be -1.

      y - 4 = 2(x - (-1)     which reduces to  

   y - 4  = 2(x + 1)

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

Answer:

The result of the correct substitution gives:

x = 3/7 and y = 27/7

Step-by-step explanation:

From the given information:

y = 2x + 3  ---- (1)

3x + 2y = 9 ---- (2)

By using substitutional method

Substitute the value of y = 2x +3 into equation (2)

So,

3x + 2(2x + 3) = 9

3x + 4x + 6 = 9

7x = 9 - 6

7x = 3

x = 3/7

From equation (1), let replace the value of  x  to be 3/7

So,

y = 2x + 3

y = 2(3/7) + 3

y =  6/7 + 3

y = 27/7

Answer:

y=-3x+1

Step-by-step explanation:

Have a good one.

Answer:

1/2 or 0.5

Step-by-step explanation:

guys someone banned me because i said the right answer cherbears lz banned her

Answer: 4x+8

Step-by-step explanation:

Okay since the area for the block is X, two numbers multiplied together is X.

Since the big block has an area of X^2, then this shows the sides to be X.

This gives the sides of the block with area X to be 1 and X.

Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8

Answer:

2/9

Step-by-step explanation:

6 - 4 = 2

2 divided by 9 = 2/9

Answer:

c. The particle is moving away from the origin at a decreasing speed.

Step-by-step explanation:

Since x(2) which represents the particles position is less than zero, that is, x(2) < 0, it shows that the particle is at the left of the origin at t = 2.

Also, x'(2) which represents the particle's speed at t = 2 is less than zero, that is, x(2) < 0, the particles speed is negative at t = 2.

Finally, since x"(2) which represents the particle's acceleration at t = 2 is less than zero, that is, x"(2) < 0, the particle's acceleration is negative at t = 2 and thus decreasing.

So, combining these three conditions together shows that the particle is moving away from the origin at a decreasing speed at time, t = 2.

Since [tex]x(2)[/tex], which represents the subatomic particle location, is below zero, that is, [tex]x(2) <0[/tex], it indicates that the particles are to the left of the origin at [tex]t = 2.[/tex]

Therefore, the answer is "Option C".

Learn more:

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Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

Answer:

6,10,or 30 is your answer

Answer: A, The line starts at 9 and ends at 29

Answer: 2W-17

Step-by-step explanation: HOPE THIS HELPS

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

Answer:

13/24 more

Step-by-step explanation:

Dina = 5/6

Natasha = 11/8

Find the LCF

6| 6, 12, 18, 24

8| 8, 16, 24

Get each fraction to have a denominator of 24

5/6 = 20/24

11/8 = 33/24

Subtract 20/24 from 33/24

33/24 - 20/24 = 13/24