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3 years ago

give two examples that show how using parentheses can change the order in wich operations are performed in an expression

2 answers:

8 0

This is because of the order of operations:
Parentheses
Exponent
Divide
Multiply
Add
Subtract

Note that parentheses are the first, so it will affect everything after it.

Examples:
2(5+4)= 2x9= 18
(2x5)+4= 10+4= 14

5/(2+3)= 5/5= 1
(5/2)+3= 2.5+3= 5.5

Flauer [41]3 years ago

4 0

(4 + 2) / 36 = 1/6
4 + 2/36 = 4 + 1/18 = 72/18 + 1/18 = 73/18

(5 - 3) / 4 = 1/4
5 - 3/4 = 20/4 - 3/4 = 17/4

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Need help .... Regular octagon ABCDEFGH rotates 360 degree clockwise about it's center . After how many 45 increments will A' (

oksian1 [2.3K]

Answer:

If the octagon is clockwise, then after 5 times 45 increments A' will coincide with F.

If the octagon is counterclockwise, then after 3 times 45 increments A' will coincide with F.

Step-by-step explanation:

Case 1: Let the octagon is clockwise

It is given that a regular octagon ABCDEFGH rotates 360 degree clockwise about it's center.

There are 8 vertices and the central angle between two consecutive vertices is 45 degrees.

Central angle between AB is 45 degree.

Central angle between AC is

$\text{Angle between AB}+\text{Angle between BC}=45^{\circ}+45^{\circ}=2\times 45^{\circ}$

Central angle between AD is

$\text{Angle between AB}+\text{Angle between BC}+\text{Angle between CD}=45^{\circ}+45^{\circ}+45^{\circ}=3\times 45^{\circ}$

Similarly,

Central angle between AE is

$4\times 45^{\circ}$

Central angle between FA is

$5\times 45^{\circ}$

Therefore after 5 times 45 increments A' will coincide with F.

Case 2: Let the octagon is counterclockwise

$FA=AH+HG+GF$

$FA=45^{\circ}+45^{\circ}+45^{\circ}$

$FA=135^{\circ}$

$FA=3\times 45^{\circ}$

Therefore after 3 times 45 increments A' will coincide with F.

8 0

3 years ago

Read 2 more answers

Given the figure. Find AC.

Angelina_Jolie [31]

Image is missing, so i have attached it.

Answer:

AC = 10sin 40°

Step-by-step explanation:

From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.

Thus, since we want to find AC;

We know that in trigonometric ratios; opposite/hypotenuse = sin θ

In the diagram, θ = 40° and AB = 10

Thus,

AC/10 = sin 40°

Multiply both sides by 10 to get;

AC = 10sin 40°

7 0

4 years ago

There are four nickels and seven dimes in your pocket. One of the nickels and one of the dimes are Canadian. The others are US c

natima [27]

Answer:

8/11

Step-by-step explanation:

Only 3 of the nickels are neither dimes nor Canadian. The other 8 of 11 coins are dimes or Canadian. The probability of choosing one of them at random is 8/11.

8 0

3 years ago

Read 2 more answers

Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a

Ad libitum [116K]

Step-by-step explanation:

i = interest 3% for 30 years

This is a simple dynamical system for whom the the solutions are given as

$S=R[\frac{(i+1)^n-1}{i}](i+1)$

putting values we get

S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)

= $98005.35

withdrawal of money takes place from one year after last payment

To determine the result we use the present value formula of an annuity date

$P = R\frac{1-(1+i)^{-n}}{i}{i+1}$

we need to calculate R so putting the values and solving for R we get

R= $6542.2356

8 0

3 years ago

May anyone help please

lapo4ka [179]

Depending on how flexibly you interpret "about 20 times larger" to mean, the answers are B and D.

Check the ratios of the larger number to the smaller number:

A: (2.01 x 10^7)/(4.25 x 10^6) = 2.01/4.25 x 10^1 = 20.1/4.25 = 4.729

B: (8.21 x 10^-3)/(4.13 x 10^-4) = 8.21/4.13 x 10^1 = 82.1/4.13 = 19.879

C: (4.91 x 10^6)/(5.09 x 10^3) = 4.91/5.09 x 10^3 = 4910/5.09 = 964.637

D: (5.97 x 10^4)/(3.12 x 10^3) = 5.97/3.12 x 10^1 = 59.7/3.12 = 19.135

4 0

3 years ago