Find the mZNPI
Exterior angles of triangle

========================================================

Explanation:

Refer to the diagram below.

If we focus on triangle ACD, then we can use the pythagorean theorem to say

d^2 + m^2 = 2050^2

d^2 = 2050^2 - m^2

Now if we focus on triangle DCB, we can also use the pythagorean theorem to say

d^2 + n^2 = 1420^2

2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2

n^2 - m^2 = 1420^2 - 2050^2

n^2 - m^2 = -2,186,100

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

In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m

We can then say

n^2 - m^2 = -2,186,100

(3000-m)^2 - m^2 = -2,186,100

m^2 - 6000m + 9,000,000 - m^2 = -2,186,100

-6000m + 9,000,000 = -2,186,100

-6000m = -2,186,100 - 9,000,000

-6000m = -11,186,100

m = (-11,186,100)/(-6000)

m = 1864.35

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

We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)

We'll focus entirely on triangle ACD

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(theta) = m/2050

cos(theta) = 1864.35/2050

cos(theta) = 0.90943902439024 which is approximate

theta = arccos(0.90943902439024)

theta = 24.572056388088

theta = 24.6 degrees

Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5

Answer:

3

Step-by-step explanation:

24x (1/8) = 3

hope this helps

Answer:

Multiply the radius by itself

Step-by-step explanation:

Answer:

multiply the radius by itself

Step-by-step explanation:

r^2 = r*r

2r or r2 = r*2

Answer:

Yes it is linear

Step-by-step explanation:

Answer:

7.4 % is percent error

Step-by-step explanation:

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The percent of error is 7.4%. The correct option is B.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Estimated value: 231

Actual value: 215

To find the percentage:

First, the value,

= 231 - 215

= 16

Now,

let n be the percentage.

So,

16 = n x 215/100

n = 1600/215

n = 7.4%

Therefore, 7.4% is the error.

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Answer:

4/8 and 4/10

Step-by-step explanation:

Required

Select which option is equivalent to 1/2 and 2/5

Option (a): 5/10 and 4/8

Simplify 5/10

[tex]5/10 = 1/2[/tex]

Simplify 4/8

[tex]4/8 = 1/2[/tex]

This is not true

Option (b): 1/3 and 4/12

1/3 is not equivalent to 1/2 or 2/5.

So, this is not true

Option (c): 4/12 and 5/10

Simplify 4/12

[tex]4/12 = 1/3[/tex]

1/3 is not equivalent to 1/2 or 2/5.

So, this is not true

Option (d): 4/8 and 4/10

Simplify 4/8

[tex]4/8 = 1/2[/tex]

Simplify 4/10

[tex]4/10 = 2/5[/tex]

Hence, (d) is true

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20

8x - 4x = 20 - 4

4x = 16 divide both sides by 4

x = 4 and JM = 8x + 4 replace x with 4

8×4 + 4 = 36

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20 ( being opposite sides of parallelogram)

8x - 4x = 20 - 4

4x = 16

x = 16 / 4

x = 4

JM = 8x + 4

=8 * 4 + 4

= 32 + 4

= 36

Hope it will help :)

Answer:

9^-6

Step-by-step explanation:

Step-by-step explanation:

25.74- 8.58=x/4.29

Answer:

1 in 5

Step-by-step explanation:

Multiples of 3 from 1 to 15:

3, 6, 9, 12, 15

Find the lowest multiple of 3.

Formula for probability:

Probability number is drawn/total

3/15

Convert it to simplest form.

1/5

I am not so sure about this, but I have seen people do this, hope I'm not wrong.

Answer:

Find the x-intercepts.

x-intercept(s):

(4/3,0)

Find the y-intercepts.

y-intercept(s):

(0,−4)

List the intersections.

x-intercept(s):

(4/3,0)

y-intercept(s):

(0,−4)

Step-by-step explanation:

Hope it is helpful.......

The completed table of values for the equation y = 3x - 4 includes the following points: (-2, -10), (-1, -7), (0, -4), (1, -1), and (2, 2). These points represent the corresponding values of y when different values of x are substituted into the equation.

To complete the table of values for y = 3x - 4, we can assign different values to x and calculate the corresponding values of y. Let's choose a few values for x and find the corresponding y-values:

x                y = 3x - 4

-2                  -10

-1                   -7

0                   -4

1                    -1

2                     2

By substituting these x-values into the equation y = 3x - 4, we can calculate the corresponding y-values. Therefore, the completed table of values for the given equation is:

x                  y = 3x - 4

-2                          -10

-1                          -7

0                         -4

1                          -1

2                           2

These values represent points on the graph of the equation y = 3x - 4.

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Answer:

[tex]V = 0[/tex]

Step-by-step explanation:

Given

At maximum height

Required

Select which of the options is true

At the maximum height of an upward projectile, the final velocity (v) is always equal to 0.

i.e.

[tex]V = 0[/tex]

Other parameters such as initial velocity (u), acceleration (a or g) are not 0.

Hence:

(c) answers the question

Answer:

B

Step-by-step explanation:

A function can be graphed as a straight line, as long as it isn't vertical.

Answer:

x = - 5, x = 2

Step-by-step explanation:

Given

x(x + 7) = 4x + 10 ← distribute left side

x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Answer:

exact form is 95/8 decimal form 11.875 and mixed number form n= 11 7/8

Answer:

(6,8)

Step-by-step explanation:

6 to the left and 8 up

Answer:

i think its its 8 squares north but ion know nothing about this.

Step-by-step explanation:

Answer:

41.472 m²

8.449m²

Step-by-step explanation:

c) scale facot is 7.2/5 = 1.44

the square scale factor is 1.44^2 = 2.0736

times 20 by this to get the area

2.0737x 20 = 41.472 m²

d) 2.8/6 = SF = 0.467

0.2178 x 38.8 = 8.449m²

Answer:

it should be C

Answer:

32.5

Step-by-step explanation:

We can set this problem up as a proportion:

[tex]\frac{10}{25} = \frac{13}{x}[/tex] In doing this, we find the exact distance from Boomtown to Dayville. Another way to do it is by dividing 25 by 10, to get 2.5, then multiplying 2.5 by 13 to get 32.5

Answer:

B y=3/x From the given options option B is  showing  inverse variation between the variables x and y.

Answer:b

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Since this triangle is a right triangle, we can solve using SOHCAHTOA.

Our angle is 25 degrees and the given hypotenuse length is 27. So, the best trigonometry equation to use would be sine, since it includes the hypotenuse and the opposite side, which is the r length that we are looking for.

Through SOHCAHTOA, sin 25° = [tex]\frac{opp}{hyp}[/tex]

sin 25° = [tex]\frac{r}{27}[/tex]

r = 27 (sin 25°)

Using a calculator, 27 (sin 25°) ≈ 11.4

Answer:

JL = 12.5

Step-by-step explanation:

[tex] In\: \triangle JKL, KM\perp JL[/tex]

Therefore, by geometric mean property:

[tex] KM^2 = JM\times ML[/tex]

[tex] 6^2 = 8\times ML[/tex]

[tex] 36 = 8\times ML[/tex]

[tex] \frac{36}{8} = ML[/tex]

[tex]ML= 4.5 [/tex]

JL = JM +ML

JL = 8 + 4.5

JL = 12.5

Answer:

2 years = 1252.80 5 years =1332

Step-by-step explanation:

1,200 x 2.2% = 26.4

26.40 x 2 = 52.80

1200 + 52.80 = 1252.80

26.40 x 5 =132

1200 + 132 =1332

Answer: 40

Step-by-step explanation: 60/3= 20    20x3= 60    20x2=40

Answer:

y=-3/2x+6

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Tree grow 2 inches per month

Let :

Month = m ; height increase, h

m α h

m = kh

k = proportionality constant

Where ; m = 1 ; h = 2

1 = 2k

1/2 = 2k/ 2

k = 1/2

Answer:1/2

Step-by-step explanation:

Tree grow 2 inches per month

Let :

Month = m ; height increase, h

m α h

m = kh

k = proportionality constant

Where ; m = 1 ; h = 2

1 = 2k

1/2 = 2k/ 2

k = 1/2

Answer:

Sorry I know that im late responding but better late then never

Step-by-step explanation:

A: It’s a rectangle.

B: Opposite sides are congruent.

D: Opposite sides are parallel.

E: All angles are right angles.

In shorter words the answer is

A, B, D, E.

You are welcome :D

The characteristics of Quadrilateral

Given:

The hypotenuse can be act as diagonal of Quadrilateral.

So, The side lengths are 5 and 9 then the other two sides will have same measurement.

This shows that the opposite side of the quadrilateral are equal.

So, the characteristics of Quadrilateral

It’s a rectangle.

Opposite sides are congruent.

Opposite sides are parallel.

All angles are right angles.

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