A circular light fixture has a radius of 20 centimeters. what is the circumference of the light fixture? use 22/7 for pi

Which type of association does the scatter plot show?

Oksana_A [137]

Answer:

non linear

Step-by-step explanation:

the graph is showing more of a parabola than a linear line

8 0

2 years ago

Calculate the side lengths a and b to two decimal places.

navik [9.2K]

Answer:

D. a = 11.71 and b = 15.56

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Trigonometry

All angles in a triangle add up to 180°

Pre-Calculus

Law of Sines: $\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

Step-by-step explanation:

Step 1: Define

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

Step 2: Find missing ∠

Set up equation: m∠C + 45° + 110° = 180°
Combine like terms: m∠C + 115° = 180°
Isolate unknown: m∠C = 25°

Step 3: Find measure of b

Substitute: $\frac{sin(25)}{7} =\frac{sin(110)}{b}$
Cross-multiply: $bsin(25)=7sin(110)$
Isolate b: $b=\frac{7sin(110)}{sin(25)}$
Evaluate: $b=15.5645$
Round: $b \approx 15.56$

Step 4: Find measure of a

Substitute: $\frac{sin(25)}{7} =\frac{sin(45)}{a}$
Cross-multiply: $asin(25)=7sin(45)$
Isolate a: $a=\frac{7sin(45)}{sin(25)}$
Evaluate: $a=11.7121$
Round: $a \approx 11.71$

6 0

3 years ago

Principal = $800 Interest Rate = 3.5% Time = 2 years Find the interest earned.

MA_775_DIABLO [31]

Answer:

so lets remember the formula for interest first.

#lightbulb

here it is A = P(1 + rt)

all we really have to do is plug in our rates, principles, and time into equation.

P = $800

t = 2 years

r = 6.5% or as a decimal 0.065

now lets look at our new equation that finally has numbers in it

A = 800[1 +(0.065)(2)] first lets take care of the 0.065 and 2 by multiplying them together. thus our new equation.

A = 800(1+ 0.13) then we add the 1 to the 0.13 and get 1.13

800(1.13) from here we just multiply and that equals 904

since we are looking for what is earned we take 904 and subtract 800 to get that answer. Here is the math.

904 - 800 = 104

he made 104 dollars in 2 years

hope this is right

Step-by-step explanation:

4 0

3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

$\frac{f(2)}{f(1)}=\frac{6}{3}=2$

$\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}$

$2\neq \frac{3}{2}$

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

$\frac{f(2)}{f(1)}=\frac{6}{2}=3$

$\frac{f(3)}{f(2)}=\frac{18}{6}=3$

$3=3$

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

$\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}$

$\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}$

$\frac{11}{5}\neq \frac{17}{11}$

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

$\frac{f(2)}{f(1)}=\frac{8}{7}$

$\frac{f(3)}{f(2)}=\frac{9}{8}$

$\frac{8}{7}\neq \frac{9}{8}$

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0

3 years ago

Read 2 more answers

6x-3x+4-2x infinitely number of solutions

Marrrta [24]

6x-3x+4-2x equals five

3 0

4 years ago