How much interest is earned on $342.50 at 8% for three years?

The arc length of the sector will be 19.89 centimeters.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Answer:

abt 75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)

Answer:

[tex]\displaystyle m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

Answer:

That would be A my good Sir (or ma'am).

Step-by-step explanation:

A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).

Thats It Helps It Helps!

9514 1404 393

Answer:

  BC ≈ 9.6 mi

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.

  Tan = Opposite/Adjacent

  tan(58°) = BC/(6 mi)

  BC = (6 mi)tan(58°)

  BC ≈ 9.6 mi

Answer:

y= 3x - 5

Step-by-step explanation:

y= mx+b is slope-intercept form,

m= slope (3)

b= y-intercept (5)

Therefore, y = 3x - 5 is your form.

If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.

Answer:

8 Pounds

Step-by-step explanation:

A cat that weighs 8 oz would be half of a pound, and that seems highly inaccurate. Most cats on average in the U.S. weigh 8 pounds, therefore that is your answer.

Answer:

Step-by-step explanation:

4×3×1/2×2+10×4×3=132

Answer:

- Sensitivity = 62.7 %

- specificity = 74.9 %

- positive predictive value = 45.2 %

- negative predictive value = 85.9 %

- Accuracy of the test = 71.9 %

Step-by-step explanation:

Given the data in th question;

                                 CONDITION POSITIVE    CONDITION NEGATIVE   TOTAL

TEST POSITIVE                   42                                       51                            93

TEST NEGATIVE                 25                                      152                          177

TOTAL                                  67                                     203                         270

so; A=42, B=51, C=25 and D=152

Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=

Sensitivity = 62.7 %

specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=

specificity = 74.9 %

positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100

positive predictive value = 45.2 %

negative predictive value =  [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100

negative predictive value = 85.9 %

Accuracy of the test = [A + D / ( A+B+C+D)] =  [42 + 152 / ( 42+51+25+152)]

= [ 194 / 270 ]

Accuracy of the test = 71.9 %

Answer:

y=-4x+15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

384÷16= 24

Answer:

1/3 + 1/5 them you solve -2

Step-by-step explanation:

Answer:

-2/3x+2/5

Step-by-step explanation:

Open up parentheses

-2 x 1/3x= -2/3x

-2 x 1/5= 2/5

Answer:

The length of the actual wall is 405 inches or 33.75 feet

Answer:

Step-by-step explanation:

x, 30 - x add to 30.  The other condition says

x (30 - x) = 176.  Multiply it out.

30x - x^2 = 176, so

x^2 - 30x = -176, complete square by adding 15^2 to both sides

(x - 15)^2 = 225 - 176 = 49, take square root

x - 15 = 7,  so one number is:

x = 22 and the other is 30 - x = 8.

Answer:

C. Find the sum of all the values and then divide by the number of values

Step-by-step explanation:

Answer:

X=13

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

21=8+x

Swap sides so that all variable terms are on the left hand side.

8+x=21

Subtract 8 from both sides.

x=21−8

Subtract 8 from 21 to get 13.

x=13

Answer:

25 million on some jewlery that you put on you head

Step-by-step explanation:

Answer:

$52.5

Step-by-step explanation:

given

P=$50  R=0.05  T=1

I=PRT

I=50×0.05×1

I=$2.5

50+2.5=$52.5

Answer:

6 units

Step-by-step explanation:

Given data

x1=4

y1=6

x2=5

y2=0

substitute in the formula for the distance between two points

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((5-4)²+(0-6)²)

d=√((1)²+(6)²)

d=√36)

d=6

Hence the distance is 6 units

Answer:

I think the answer is 100

Answer:

[tex]100[/tex]

Step-by-step explanation:

1. Simplify 6 + 4 to 10.

[tex]52 + 4 \times (10 + 2)[/tex]

2. Simplify 10 + 2 to 12.

[tex]52 + 4 \times 12[/tex]

3. Simplify 4 × 12 to 48.

[tex]48 + 52[/tex]

5. Simplify.

[tex]100[/tex]

therefor, the answer is 100.

Answer:

5x + 6y + 1

Step-by-step explanation:

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [-5 - 4] / [3 - (-2)]

                 = [-9] / [3 + 2]

                 = -9/5

Thus, the slope of the line = m = -9/5  

Answer:

m = -9/5

Step-by-step explanation:

Taking (-2,4) as (x1,y1), and

Taking (3,-5) as (x2,y2)

Using the slope (m) formula:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

= (-5-4)/(3-(-2))

= -9/(3+2)

= -9/5

Hence, the slope is -9/5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

$93.

Step-by-step explanation:

Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:

75 + (75 x 0.2) + (75 x 0.04) = X

75 + 15 + 3 = X

93 = X

Therefore, the total cost he payed for his meal was $ 93.

Answer:

ok

Step-by-step explanation:

ok

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]

[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]

[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

Answer:

64π

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer: 0.47

Step-by-step explanation:

0.47% = 0.0047 in decimal form. Percent means 'per 57'. So, 67Inches means 0.47 per 100 or simply 0.47/100. If you divide 0.47 by 100, you'll get 0.0047 (a decimal number).