Find sin(a) in the triangle.
Choose 1 answer:

The equation of the line is (y - 2) = 1.5(x - 4)

What is line ?

Euclid described a line as an "unextended length" that "stands equally with respect to its points"; he introduced the postulates as the main unprovable properties from which he constructed all of geometry, now called Euclidean geometry to avoid confusion with other geometries introduced from the late 19th century (such as non-Euclidean, projective and affine geometry).

In modern mathematics, given the multiplicity of geometries, the concept of line is closely related to the way geometry is described. For example, in analytic geometry, a plane line is often defined as a set of points whose coordinates correspond to a given linear equation, but in a more abstract setting, such as drop geometry, the line may be an object other than the set. of the points located on it.

When geometry is described by a set of axioms, the concept of line is usually left undefined (so-called primitive object). The properties of the lines are then determined by the axioms that refer to them. One of the advantages of this approach is the flexibility it gives users of the geometry. Thus, in differential geometry a line can be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and allows physicists, for example, to think of the path of a light ray as a line.

Given, [tex]y = 1.5x - 6....(1)[/tex]

We are comparing equation (1) with y = mx+c and get m = 1.5

It is also given required equation passes through the point (4,2)

We know, if slope of a equation m and the equation passes through (a,b) then equation of the line (y-b) = m (x-a)

Here,

[tex]m = 1.5 \\ a = 4 \\ b = 2[/tex]

So, required equation of the line [tex](y - 2) = 1.5(x - 4)[/tex]

Line related one more question:

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Answer:

I think it is the last answer.

Step-by-step explanation:

There can only be one vertex.

Answer:

5. B

6. A

7. C

Step-by-step explanation:

Answer:

5.) b. 12 - 2x

6.) a. 8x

7.) c. 5d + 3c = 66

Step-by-step explanation:

uhm, I don't really have proof, i've just been doing this for a long time, you're just gonna have to trust me on this one

Answer:

you will need to wait 3 hours and 30 mins

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

It is 3 hours and 30 minutes which is 210 minutes altogether.

hope this helps,have a great day!!

~Pinky~

Answer: 126 degrees

there are 360 degrees in a circle.  

Answer:

1. false

2. false

3. true

Step-by-step explanation:

Answer:

389.19 m²

Step-by-step explanation:

The surface area of the box = area of the two equal triangles + area of the 3 different rectangles

✔️Area of the two equal triangles:

Area = 2(½*base*height)

base = 7 m

height = 8 m

Area of the two triangles = 2(½*7*8) = 56 m²

✔️Area of rectangle 1:

Area = Length*Width

L = 13 m

W = 7 m

Area of rectangle 1 = 13*7 = 91 m²

✔️Area of rectangle 2:

L = 13 m

W = 8 m

Area of rectangle 2 = 13*8 = 104 m²

✔️Area of rectangle 3:

L = 13 m

W = 10.63 m

Area of rectangle 3 = 13*10.63 = 138.19 m²

✅Surface Area of the box = 56 + 91 + 104 + 138.19 = 389.19 m²

Answer:

9(x+3)²=27

Step-by-step explanation:

hello :

9(x+3)²=27   means : (x+3)²=27/9

(x+3)²=3  because 3 is not the perfect square

Answer:

piip;[-p-o-ul0i

Step-by-step explanation:

Answer:

1. 11

2. -13

3. -6

Step-by-step explanation:

Hope this helps. Have a great day! (I got this correct on edge :})

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

For more information about compound interest

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Answer:

B is the correct answer ([tex]\sqrt{-17}[/tex])

Step-by-step explanation:

The slant height of the cone is √17.

A cone is a shape formed by using a set of line segments or the lines which connects a common point, to all the points of a circular base.

Here, radius = 1 inch

         height = 4 inches

Slant height = [tex]\sqrt{r^2+h^2}[/tex]

                     = [tex]\sqrt{1^2+4^2}[/tex]

                    = [tex]\sqrt{1+16}[/tex]

            l = √17 inches.

Thus, the slant height of the cone is √17.

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Answer:

Just do 8.4 times 7

Step-by-step explanation:

8.4 times 7 = 58.8

Answer:

900,000 6

∴ there are 900,000 6-digit numbers in all.

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

Answer:

B

Step-by-step explanation:

got it right on edg

Answer:

A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 54 grams.

Step-by-step explanation:

Answer:

11t -2

Step-by-step explanation:

3t - 5 + 8t + 3

Combine like terms

3t +8t- 5  + 3

11t -2

Start by changing the problem to 3t + -5 + 8t + 3.

Now combine like terms.

Combine like terms → your numbers

and your "t" terms.

So 3t + 8t is 11t and -5 + 3 is -2.

So the answer is 11t - 2.

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

Answer:

B

Step-by-step explanation:

Look at the chart you can find out by looking at 20 then your answers

8,700*

12/100=1044/y         Equation

1044 x 100= 104,400       Cross multiply

104,400÷12=8700            Divide quotient by pecentage out of 100 (12)

Answer:

[tex]\boxed {\boxed {\sf 53}}[/tex]

Step-by-step explanation:

This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.

The first stem is 0, with a leaf of 4. Therefore,

The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.

The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.

The range is 53.

Answer:

13 mm

Step-by-step explanation:

V = πr²h

4,939.22 mm³ = 3.14 × (11 mm)²h

4,939.22 mm³ = 3.14 × (11 mm)²h

h = 13 mm

Answer: 13 mm

Answer:

I would need to see the variables to answer this questions.

Answer:

the answer is A

Step-by-step explanation:

It is an acute angle but is larger than 40

Answer:

60 degrees

Step-by-step explanation:

Each triangle needs to add up to 180 total degrees.  70+50=120,

180

-

120

___

60

Answer: $70400

Step-by-step explanation:

Attached is the question:

Based on the information given in the question:

Value of Stock X = 5000 × $4.30 = $21500

Value of Stock Y = 2000 × $3.20 = $6400

Value of Stock Z = 8000 × $4.90 = $39200

Total Stock Value = $67100.

Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:

= $67100 × (100% + 4.9%)

= $67100 × 104.9%

= $67100 × 1.049 =

= $70388

= $70400 approximately

Answer:

$70,400

Explanation:

Ap3x

Answer:

16 2/3 yards

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Answer: b=20

Step-by-step explanation:

First for the equation 60=2b+20

We will subtract 20 from both sides to start isolating b

40=2b

Divide both sides by 2

and you get b=20

Answer:

b = 20

Hope This Helps!

Step-by-step explanation:

60 = 2b + 20

-20         -20

--------------------

40 = 2b

40/2 = 2b/2

20 = b

b = 20