Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S​

Given that :-

Prove that :-

Taking RHS :-

= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]

= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]

= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)

= (2 tan B)/(4 + 6 tan2B)

= (2 tan B)/[2(2 + 3 tan2B)]

= tan B/(2 + 3 tan B tan B)

Dividing the numerator and denominator by 2,

= [(1/2) tan B]/ [1 + (3/2) tan B tan B]

= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}

= (tan A – tan B)/(1 + tan A tan B)

= tan(A – B) = LHS

The car that travels for 7 hours and 50 minutes at an average speed of 130 km/h covered a distance of 1017.9 km.

The car travels for 7 hours and 50minutes at an average speed  of 130 km/h.

Therefore,

speed = distance / time

speed = 130 km/h

time = 7 hours 50minutes = 7 + 0.833333 = 7.83 hours

Therefore,

130 = distance / 7.83

cross multiply

distance = 7.83 × 130

distance = 1017.9 km

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Answer:

Angle ACD = 54° ( Angle standing on same arc at the circumference are equal )

Answer: 8,982,596 cm

Step-by-step explanation:

Rectangular Prism Volume = Height * Length * Width/base

238 cm * 113 cm * 334 cm = 8,982,596 cm

Pedro's total distance moved is 7.5 kilometers

The given parameters are:

The total distance is the sum of the above distances i.e.

Total = 1.2 km + 1.5 km + 2 km + 2.8 km

Evaluate

Total = 7.5 km

Hence, Pedro's total distance moved is 7.5 kilometers

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Answer:

  160,000 tins

Step-by-step explanation:

To find the number of tins, divide the fill rate by the volume per tin.

__

  (2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h

160,000 tins of paint can be filled in 1 hour.

_____

Additional comment

That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.

There are 60 minutes per hour. There are 1000 liters per cubic meter.

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

yes

Step-by-step explanation:

1/2 is half of 1.

300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.

Answer:

Yes, 300 is greater than 1/2

Answer:

number 1

Step-by-step explanation:

Answer:

should be 872 in^2

Step-by-step explanation:

Answer:

Area = 872

Step-by-step explanation:

Formula for the surface area of a rectangular prism is

Plug in

Answer:

C. 21 1/9

Step-by-step explanation:

6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9

Answer: (10x + 9) (x - 3)

Step-by-step explanation:

Factor by grouping

The “Volume” in finance means total shares traded during a certain time frame option (B) is correct.

To make a profit, share traders buy and sell the stock of companies listed on the stock exchange.

The number of shares traded in a certain stock, index, or other investment during a given period of time is known as volume.

Thus, the “Volume” in finance means total shares traded during a certain time frame.

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Answer: 2,3

Step-by-step explanation: I think this is the right answer. Have a good day!! :)

Answer:

2.33 x  10^24  kilograms

Step-by-step explanation:

hope this helps!!

=2.33 × [tex]10{^{21}[/tex]

scientific notation

= 2.33e21

scientific e notation

= 2.33 × [tex]10{^{21}[/tex]

engineering notation

= 2.33 × [tex]10{^{21}[/tex]

21

Order of Magnitude

for scientific and standard forms

two setillion three hundred thirty quintillion

Answer:

X=42

Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals  42

Answer:

it is the there'd one

if this is wrong sorry

Answer:

3. (3, 6)
4. (3, 7)
5. (3, 36)

Step-by-step explanation:

These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.

Answer:

the circumference of the circle is 50.24

Answer:

The answer is 3 cm.

Step-by-step explanation:

To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.

For this equation, we would do the following:

3456 ÷ 36 = 96 cm²

Now that we have divided volume by length, let's divide by height next:

96 ÷ 32 = 3 cm

Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.

3 × 32 × 36 = 3456 cm³

Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.

Answer:

2≤7

Step-by-step explanation:

-7+9≤-2+9

2≤7

The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

As the surface of nickel is in shape of 2-D circle.

radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm

Area of circle= [tex]\pi r^{2}[/tex]

                      = 3.14* 21.21*21.21

                      = 353.143 [tex]mm^{2}[/tex]

                      = 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

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Answer:

[tex]17\sqrt{7z}[/tex]

Step-by-step explanation:

[tex]7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}[/tex]

Answer:

9

Step-by-step explanation:

Answer: B

Step-by-step explanation:

your answer would be 147°

solution:

since ∠x and ∠y are supplementary angles. they must add up to 180°

so ∠+∠y=180°

     ∠x=180°-∠y

     = 180°- 33°

=147

Answer:

x = 4

Step-by-step explanation:

<C = <A

25° = 8x - 7

32 = 8x

x = 4

The final matrix will be as follows   [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns in mathematics.

The calculation of the given matrix is as follows:-

[tex]\rm D-C= \left[\begin{array}{ccc}13&2&-5\\6&-4&0\\\end{array}\right] - \left[\begin{array}{ccc}1&4&-8\\3&-5&2\\\end{array}\right] \\[/tex]

[tex]\rm D-C= \left[\begin{array}{ccc}(13-1)&(2-4)&(-5+8)\\(6-3)&(-4+5)&(0-2)\\\end{array}\right][/tex]

[tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

Hence the final matrix will be as follows   [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

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Answer:

0.5 feet

Step-by-step explanation:

Volume = Length × Width × Depth

Here :

Solving :