What is the measure of Zr?
Angles are not necessarily drawn to scale L M 133 N O

Answer:

equation

Step-by-step explanation:

12 + 3y = 21

-12. -12

__________

3y = 9

y = 3

Answer:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Step-by-step explanation:

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer:

75

Step-by-step explanation:

did it 5 mins ago

Answer:

About 3000 feet

Step-by-step explanation:

This is a 30,60 90 triangle, all the angles in a triangle adds up to 180.

Use sin ratio

sin 60 = [tex]\frac{o}{4000}[/tex]  o for opposite side of triangle from the 60 degree angle

o = 4000 (sin 60) = 3464.11

Use cosine

cos 30 = [tex]\frac{a}{3464.11}[/tex]   a for adjacent side of triangle from the 30 degree angle

3464.11 (cos 30) = 3000.01

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

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Answer:

256

Step-by-step explanation:

Answer:

256 cm

Step-by-step explanation:

16 x 4 = 64

16 x 8 = 128

8 x 8 = 64

64 + 64 = 128  + 128 = 256

Answer:

10494

Step-by-step explanation:

trust

Answer:

A)25

Step-by-step explanation:

5 x 5 = 25

Answer:

B.......

because to work out the area of a sphere we use

4 pie (r)²

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Needs more info about your question please

Answer:

This is false.  (1, 10) is not a solution of this inequality

Step-by-step explanation:

Copy down the inequality:

y < 8x + 2

Now substitute 10 for y and 1 for x:

10 < 8(1) + 2  or 10 < 8 + 2

This is false.  (1, 10) is not a solution of this inequality

Answer:

False is the answer.

Step-by-step explanation:

Answer:

0.7x - 1.4 =-3.5

      +1.4   +1.4    Step one: add 1.4 to both sides to cancel out 1.4

0.7x = -2.1

----      -----         Step two: divide both sides by 0.7

0.7      0.7

x = -3              The answer is x = -3.

Answer:

B

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

18 feet. The answers are actually 5 1/3 ft, 10 2/3 ft, 18 ft and 22 ft, with 18 feet being the correct choice.

Answer:

49/5

Step-by-step explanation:

x+x+x+x+x+30=79

5x+30=79

5x=49

x=49/5

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

B the median is less than the mean

the exact answer is 48.5 or in standard calculator form 48.5112

bai

Answer:

y= x-3

Step-by-step explanation:

use the slope formula which is y= m(slope)x + b(y intercept)

The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.

Hope this helps :)

Answer:

432 cubes

Step-by-step explanation:

V = 9 x 4 x 1.5 = 54 in³

V = 1/2 x 1/2 x 1/2 = 1/8 in³

54/(1/8) = 432 cubes

Answer:

5x=180

-5. -5.

×= 175

Answer: I am pretty sure the answer is 24

Step-by-step explanation:

So since the two angles are vertical opposite angles, they are congruent angles. Then,

120 = 5x

120/5 = 5x/5

24 = x

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

= 2(x+4)(2x-5)

Step-by-step explanation:

i hope this helps :)

Answer:

C

Step-by-step explanation:

Sq root of 156 HAS to be between 12 and 13

12+(13-12)/2

12+1/2

12.5

Answer:

It's D - 1 in 1,000

Step-by-step explanation:

If the company breaks even, it collects $1,000,000 and pays out $1,000,000. If it collects $1,000 from each company, that means it sold $1,000,000 / $1,000 = 1,000 policies, and it paid out on one of them. This means the expected odds are 1 in 1,000.

The one which is closest to the odds the insurance company assumes for your claiming $1 million is 1 in 1000. Hence, option D is correct.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given data in the question,

If the business is profitable, it will receive $1,000,000 and spend $1,000,000.

If it receives $1,000 from each business, it has sold,

$1,000,000 / $1,000 = 1,000 policies, and one of them saw a payout.

This indicates that the likelihood is 1 in 1,000.

To know more about arithmetic operations:

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Answer:

The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet

Step-by-step explanation:

The given coordinates of the clues for the treasure hunt are

The location of the first clue = 5 units north of the flag pole

The coordinates is (0, 5)

The location of the second clue = 6 units east of the flag pole

The coordinates is (6, 0)

The location of the final clue = 5 units south of the flag pole

The coordinates is (0, -5)

The flagpole is at the origin

The coordinates of the flagpole is (0, 0)

Each unit on the graph = 50 feet

From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;

The shortest distance between 2 points is a straight line

Therefore

The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units

The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet

The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units

The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet

By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61

The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet