MATHEMATICS HIGH SCHOOL

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.What is the arc length?
Use 3.14 for π
and round your final answer to the nearest hundredth.
Make sure to show your calculations.

Answers

Answer 1
Answer:

Answer:

152.04 For anybody that still needs the answer.

Step-by-step explanation:
Answer 2
Answer: 360 degrees = 2 PI radians
Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI =169.0176847631
arc length = (324 / 360) * 169.0176847631
arc length = .9 * 169.0176847631
arc length = 152.1159162868 m
 

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Given the sequence 5; 12 ; 21; 32; .... a determine the formular for the nth term of thw sequance . 2 determine between which two consecutive terms in the sequance the difference will equal 245 sketch the graph to represent the second difference

Answers

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

What is a sequence?

A sequence is a group of numbers where there is a relation between each consecutive value.

We have,

5, 12, 21, 32,

We see that,

The difference between the consecutive numbers is 7, 9, 11, 13, 15,

We can make a formula for the nth term.

4n + n²

Where n = 1, 2, 3, 4, ,,,,

Now,

Let the two consecutiveterms be n and (n +1).

4(n + 1) + (n + 1)² - 4n - n² = 245

4n + 4 + n² + 2n + 1 - 4n - n² = 245

4 + 2n + 1 = 245

2n + 5 = 245

2n = 240

n = 120

And,

n + 1 = 121

So,

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Thus,

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Learn more about sequence here:

brainly.com/question/10396151

#SPJ6
First difference
12-5 = 7
21-12 = 9
32-21 = 11

Second difference
9-11 = 2
11-9 = 2

second difference is constant so it could defined by quadratic formula,
u(x) = ax^2 + bx + c
because 2a = Second difference = 2
so a = 1
then u(x) = x^2 + bx + c

build equations from known values to find b and c
for x=1, u(1) = 5 = 1^2 + b(1) + c
b + c = 4 ...(1)

x=2, u(2) = 12 = 2^2 + b(2) + c
2b + c = 8 ... (2)

solve b = 4, c =0
so u(x) = x^2 + 4x ... formula for n term (i use x not n here)

difference between consecutive term is 245, we have
245 = u(x+1) - u(x)
245 = (x+1)^2 + 4(x+1) - (x^2 + 4x)
245 = x^2 + 2x + 1 + 4x + 4 - x^2 - 4x
245 = 2x + 5
x = 120
it's between term 120 and 121

graph is y=2

Mickey's savings account. $975 on deposit. 5.5% annual interest rate. Time is 3 months. Find the Interest

Answers

Answer:

$13.41

Step-by-step explanation:

1 year = 5.5%

1/4 year = 5.5/4%

1/4 year = 1.375%

975 * 1.01375 (because percents become fractions by dividing by 100) = 988.41

988.41 - 975 (because you're looking for the interest not what's his final amount) = 13.41

B) Write 1.74 x 10^4 as an ordinary number.

Answers

Answer:

17400

Step-by-step explanation: i might get this wrong but just do 1.74*10^4 and it should equal 17400

What is the intersection of plane WZVS and plane STUV?

Answers

Answer:  The required intersection is the line 'VS'.

Step-by-step explanation:  We are given to find the intersection of the planes WZVS and plane STUV.

We know that,

If two planes intersect each other, then their intersection is a straight line.

As shown in the given figure, the point 'V' and 'S' lie on both the planes WZVS and STUV.

So, the line joining these two points, i.e., the line VS also lie on both the planes.

Therefore, the intersection of both the planes is the line 'VS'.

Thus, the required intersection is the line  'VS'.
An easy  way to find  this is to look at the cross section, and see where the lines meet

The hour hand of a clock moves from 3 to 8 o'clock through how many degrees does it move

Answers

The number of degrees does it move is 150 degrees.

The following things should be considered:

  • Since there are 12 parts.
  • Each one should we 30 degrees i.e. = 360/ 30
  • Now 8 - 3 = 5
  • So, the angle should be = 5* 30 = 150 degrees.  

Therefore we can conclude that The number of degrees does it move is 150 degrees.

Learn more: brainly.com/question/17429689
There is a picture.
There 12 parts. Each one is 360/12=30°.
8-3=5 we have.
So, the angle will be 5*30=150°.

What are two other words used for hypotenuse

Answers

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:
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