Find the length of an arc that subtends a central angle of 159° in a circle of radius 21 ft.​

The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n  .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

Learn more about the triangle here:

brainly.com/question/25813512

Add the percentage as a decimal

To 1 to get 1.20

Multiply:

340 x 1.20 = 408

Answer: 408

Answer:

A). x=3/4

Step-by-step explanation:

2(6-2x)-2x=2(5+x)-4

Rearrange terms,

2(6-2x)-2x=2(5+x)-4

2(-2x+6)-2x=2(5+x)-4

Distribute,

2(-2x+6)-2x=2(5+x)-4

-4x+12-2x=2(5+x)-4

Combine like terms,

-4x+12-2x=2(5+x)-4

-6x+12=2(5+x)-4

Rearrange terms,

-6x+12=2(5+x)-4

-6x+12=2(x+5)-4

Distribute,

-6x+12=2(x+5)-4

-6x+12=2x+10-4

Subtract the numbers,

-6x+12=2x+10-4

-6x+12=2x+6

Subtract 12 from both sides,

-6x+12=2x+6

-6x+12-12=2x+6-12

-6x=2x+6-12

-6x=2x-6

Subtract 2x from both sides,

-6x=2x-6

-6x-2x=2x-6-2x

-8x=2x-6-2x

-8x=-6

Divide both sides by the same factor ( -8),

-8x/-8=-6/-8

x=-6/-8

x=3/4

Answer:

47.5

Step-by-step explanation:

The formula for the area of half a circle is (pi * radius^2)/2

diameter = 11

pi = 3.14

radius = diameter/2 = 11/2 = 5.5

A = (3.14 * 5.5^2)/2

A = 94.985/2

A = 47.4925

Answer:

Sullivan is hanging on by 2 fingers.

Step-by-step explanation:

Since Sullivan has 8 fingers, a quarter of them (1/4) would be 8*1/4=2.

Answer:

Step-by-step explanation:

Certainly we can estimate y = tan x from the graph of this function, for any x at which the function is defined.   Don't expect exact values, however.

Answer:

6

Step-by-step explanation:

When multiplying numbers with the same base, just add the exponents. (4+2=6)

The required equation is y = 10000(1.0.25)^2x. The value of Christina’s investment after 20 years is $30,773.14

Compound interest

The interest accrued on a sum of money is known as interest. The formula for calculating the compound interest is expressed as:

y = y0(1+r/n)^nx

where

x is the time taken

r is the rate in decimal

n is the compounding time

Given the following

x = 20 years

n  2(semi annually)

r  = 5.7% = 0.057

Substitute

y = 10000(1+0.057/2)^2(20)
y = 10,000(1 + 0.0285)^40

y = 10000(1.0285)^40
y = 30,773.14

Hence the value of Christina’s investment after 20 years is $30,773.14

Learn more on compound interest here: https://brainly.com/question/24924853

[tex]~~~~9x=28-5x\\\\\implies 9x +5x = 28\\\\\implies 14x = 28\\\\\implies x = \dfrac{28}{14}\\\\\implies x = 2[/tex]

Step-by-step explanation:

Given Equation,

[tex]\\ \longrightarrow \qquad \sf 9x=28-5x \\ \\ [/tex]

Now, Adding 5x to both sides we get :

[tex]\\ \longrightarrow \qquad \sf 9x + 5x=28-5x + 5x \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf 14x=28 \\ \\ [/tex]

Dividing 14 from both sides we have :

[tex]\\ \longrightarrow \qquad \sf \frac{14x}{ 14 } = \frac{28}{14} \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf x=2 \\ \\ [/tex]

Therefore,

Answer:

250g tin

Step-by-step explanation:

250g tin is 8.48g per R

750g tin is 10.77g per R

Answer:

B

Step-by-step explanation:

¼[4. -6]

¼[-2. 4]

to get inverse. add - sign to a21 and a11

then find the magnitude

7/11 is the final answer.

use the formula for disjointed events: P(A or B) = P(A) + P(B)

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

P(A or B) = P(A) + P(B)

P(A or B) = 4/11 + 3/11

P(A or B) = 7/11

Answer:

96.90

Step-by-step explanation:

850  *  .019  *  6   =

  This is simple interest ( no compounding interest)

Answer:

$96.90

Step-by-step explanation:

Let's find 1.9% of our amount, which is $850.

1% of 850 = 8.5

we need to get 1.9%, so lets multiply our current 1 percent by 1.9, to get what 1.9% would be.

1% of 850 = 8.5

x1.9 x1.9

1.9% = 8.5 x 1.9

1.9% = $16.15

This means that every year, the savings account gains $16.15 in interest. However, this doesn't account for all 6 years. So we multiply 16.15 by 6, for the 6 years that the money is in the saving account for.

$16.15 x 6 = $96.90 !

So, the total interest is $96.90 :)

Answer:

No slope

Step-by-step explanation:

The points given are on the vertical line x = 8

   vertical lines have an 'undefined' slope....no slope

Answer:

4.5 hours

Step-by-step explanation:

The number of miles the hot air ballon will travel in 3/4 hours at the same rate of 18 miles in 3 hours is 4.5 miles.

Answer:

D 133 degrees

Step-by-step explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47  = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc

Answer:

10 ft

Step-by-step explanation:

120÷12=10

So, 10x12=120

The answer is 10 ft

Answer:

B

Step-by-step explanation:

To find the width of the bedroom, divide 120 by 12. 10 feet is therefore the width. (Area = length x width.)

Answer:

Annie:71

Step-by-step explanation:

Annie had the lowest because the scores go as said: 62,70,70,71,77,78,79

and you cross out the lowest and highest until you reach the middle

And for Katie: 0,89,93,93,95,100,100

crossing out until you reach the middle.

Answer:(6, -4)

Step-by-step explanation: That’s where they meet at point B

Answer:

Answer:(6,-4)

Step-by-step explanation:

they meet at point B

Answer:

C. Mediterranean Sea

Step-by-step explanation:

The Mediterranean Sea is south of western Europe. The Atlantic doesn't really touch Europe, the Pacific is east of Europe, and the Baltic sea is in northern Europe.

The product of 960 and 1.0 x 106 expressed in scientific notation is 9.6 x 10^8.

The product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.

To express the product of 960 and 1.0 x 10⁶ in scientific notation, we first perform the multiplication:

960 x 1.0 x 10⁶

= 960 x 10⁶

= 960,000,000

Since the result is greater than 1, but less than 10, we need to express it as a number between 1 and 10 multiplied by a power of 10.

In this case, we can express 960,000,000 as 9.6 x 10⁸.

Therefore, the product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.

This notation represents a number that is 9.6 times 10 raised to the power of 8. It is a compact and convenient way to represent large numbers, especially in scientific and engineering contexts, where large quantities are common.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ3

Mark is advised to consult a financial planner as he will carefully be able to  do financial planning when, where and how much to invest as per the desired goals.

Financial Planning is a process of planning the financial goals of an individual by proper assessment of resources and putting forth the steps that are to be performed to achieve those goals.

A financial planner is a qualified expert who can help in making good investments on behalf of someone who does not have expert knowledge or time to do so.

Hence, option D; Mark should consult a financial planner professional for the purpose of beginning his investment journey by financial planning and achieving the goals thereunder.

Learn more about financial planning here:

https://brainly.com/question/21780268

Answer:

D

Step-by-step explanation:

edge 2023

Answer:

√20 units

Step-by-step explanation:

[tex]Solution,\\\\\hookrightarrow Here,\\\\\hookrightarrow Coordinate\:of\::\\\\\hookrightarrow A(4,5),B(2,1),C(4,1)\\\\Now,\\\\Let,\\\\(x_1,y_1)=(4,5)\\\\(x_2,y_2)=(2,1)\\\\Using\:distance\:formula\\\\Distance\:of\:AB=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(-2)^{2}+(-4)^{2}} \\\\Distance\:of\:AB=\sqrt{4+16} \\\\Distance\:of\:AB=\sqrt{20}\: units[/tex]

The coin will land 7 times tail based on the experimental probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

Learn more about Probability here:

brainly.com/question/11234923

#SPJ2

Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

Step-by-step explanation:

Use the Law of Cosines.

c^2=

a^2+b^2-2abcosC

You know two sides and the angle in between. The Law of Cosines will give us the third side.

The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

Answer:I need so much help with these two and quick if anybody can helpe out thanks.

Step-by-step explanation:

I need so much help with these two and quick if anybody can helpe out thanks.

Answer:

See image below

Step-by-step explanation:

Answer:

53 meters

Step-by-step explanation:

because if you do 212÷4 you will get 53 meters

Answer:

$146.73

Step-by-step explanation:

1. Calculate the 'Amount of sales tax':

Formula:

Amount of sales tax =

Sales tax rate × Price without sales tax

Calculation:

Amount of sales tax =

9.5% × 134 =

9.5/100 × 134 =

9.5 ÷ 100 × 134 =

0.095 × 134 =

12.73

2. Calculate the 'Price with sales tax':

Formula:

Price with sales tax =

Price without sales tax + Amount of sales tax

Calculation:

Price with sales tax =

134 + 12.73 =

146.73

Answer:

Amount of sales tax = $12.73 dollars;

Price with sales tax = $146.73 dollars;