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Radians * 180/pi = degrees.

degrees * pi.180 = radians.

Do not use the value of pi. Use "pi".

For example 30 degrees = 30*pi/180 = pi/6 radians.

pi/2 radians = pi/2 * 180/pi = 90 degrees.

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It's not an equation so you can't solve it. What is the question?

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log(basex)y - log(basex)z = log(basex)y/z

log b (9) - log b (8) = log b (9/8)

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7x1=7 : The identity property of multiplication is the product of one and any number or variable is the number or variable. x * 1 = x.

This is the identity property.

(3 +4) + 6 = 3 + (4 + 6) - Associative property of addition - grouping doesn't matter when adding numbers. Remember it this way - it doesn't matter which numbers associate (share ()) with other numbers.

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The sum of interior angles in a quadrilateral is (n-2)*180 where n is the number of sides. (4-2)*180 = 360.

In a regular quadrilateral all four interior angles are equal. 360/4 = 90.

Supplementary angles have a sum of 180. So the angles supplementary to each of these interior angles are 90 degrees.

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log(base x) y = z means

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How long does it take B to get 2 miles in front of A?

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log base 10 is used to calculate the MMS rating of an earthquake.

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log(base y) (x) = z is the same as

x = 9 or x = -9

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When dealing with a discount % the formula is x*(1-D) = P where x is the original price, D is the discount %, and P is the new price.

For this problem: x*(1-.2) = 104

.8x = 104

x = 104/.8 = 130

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Your inequality is the amount of cheese on the pizzas is less than or equal to (<=) the total amount of cheese. The number of pizzas is unknown, so call it p. 6 is the number of pizzas for one sample situation, not for the general situation.

In general the number of pizzas, p, times the cheese per pizza, .75, = the total cheese used. That must be less than or equal to 4.

.75p <= 4

p <= 4/.75 <= 5.33 You can make 5 and 1/3 pizzas with 4 pounds of cheese. You don't have enough cheese for 6 pizzas.

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A ratio is a fraction x/y. A proportion is ratios that are equal x/y = w/z.

4/16 = 1/4

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The sum of a triangle's internal angles is 180 degrees.

180-38 = 142

A and B are the same, so each one equals 142/2 = 71 degrees.

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The sum of -39 ...+39 = 0. -39 + 39 - 0. -37 + 37 = 0 etc.

This is the sum of odd integers from 41 to 91.

The sum of n odd integers is

The number, n, of odd positive integers from 0 up to a certain odd integer is ((that integer - 1)/2) + 1. For example, the number (n) of odd integers from 0 to 9 is ((9-1)/2) + 1 = 5. The odd integers from 0 to 9 are 1, 3, 5, 7, 9 - there are five.

The number of odd integers from 0 to 91 is 91-1 = 90/2=45 + 1 = 46. .

Subtract the sum of odd integers from 0 to 39 (because those summed to 0 when added to -1, -3...-39). There are (39-1)/2 = 19 + 1 = 20 odd integers from 0 to 37.

The sum of all odd numbers from 0 to 91 - the sum of all odd numbers from 0 to 39 is the sum of odd numbers from 41 to 91. It is 2116-400 = 1716.

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The smallest number divisible by 2,3,4,5, or 6 with a remainder of 1 is their LCM + 1.

Find the LCM by Step 1: Finding the prime factors of each number:

2 is a prime, 3 is a prime, 4 factors to 2*2, 5 is prime, 6 factors to 2*3

Step 2: Look at each prime number represented. Whichever factor group has the most of that number, use that many of that prime number in a product that will be the LCM:

The most 2's are in the factorization of 4, so use 2*2. There are at most one 3 (in the prime factorization of 3 or 6). There are at most one 5.

The LCM is 2*2*3*5 = 60. LCM + 1 is 61. But 61 isn't divisible by 7.

Now increase by 60 (add 1 to multiples of 60) until you find one divisible by 7.

61 NO

121 NO

181 NO

241 NO

301 Yes. This is the answer.

The other way to calculate this is using the Chinese Remainder Theorem. This theorem only holds true for co-prime numbers. That is numbers that only have 1 as a common factor.

The list of numbers in this problem is 2,3,4,5,6, and 7. They aren't co-prime. But any odd number will have a remainder (mod) 1 when divided by 2, so we can keep that in mind but forget about 2 for the calculation.

We need to find some x such that x = 1 mod 2 (meaning there is a remainder of 1 when x is divided by 2.) That's any odd number.

x = 1 mod 3

x = 1 mod 4

x = 1 mod 5

x = 1 mod 6

x = 0 mod 7

Drop 6, because 6 isn't co-prime with 3. That leaves 3,4,5,and 7 as the co-prime numbers. Our answer has to be 1 mod 6, but we won't use 6 in the calculation.

Step 1: Multiply the co-prime numbers: 3*4*5*7 = 420 (the co-prime LCM)

Step 2: Divide 420 by each number. Divide that result by the number to find the remainder.

420/3 = 140 (call this the factor number) and 140/3 has a remainder of 2 (call this the mod number): 140=2 mod 3.

420/4 = 105 and 105 = 1 mod 4

420/5 = 84 and 84 = 4 mod 5

420/7 = 60 and 60 = 4 mod 7

Step 3: Add together (for each number): (desired remainder) * (factor number) * (mod number) =

1*140*2 + 1*105*1 + 1*84*4 + 0*60*4 = 280 + 105 + 336 + 0 = 721

Step 4: Find the remainder of Step 3 result divided by the co-prime LCM.

721 / 420 = 1 remainder 301.

This number (301, the remainder) satisfies the condition that it must be odd (remainder 1 when divided by 2.) It also satisfies the remainder of 1 when divided by 6. 301 is the answer

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Substitute the values for h and k>

FOIL

Distribute a

Cancel where possible

Add c to both sides. Subtract from both sides.

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Use the sum and difference identities to express the trig functions in terms of the functions most people memorize (30, 45, 60, 90, 180, 270, 360).

cos(A+B) = cosA*cosB - sinA*sinB
cos(225) = cos(180+45) = cos(180)*cos(45) - sin(180)*sin(45) = -1* - 0* =

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Start with a simple example. What if he saved for only three days? It would be $1, $2, $4. It looks like where n is the number of days. But which is twice the savings on the first day. Adjust the formula to - that gives on the third day which is correct.

A period of two weeks is 14 days.

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The slope intercept form of a line is y=mx+b where m is the slope. For y=(-1.2)x +7 the slope is -1/2.

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Drop the 72. This is an average problem: avg = sum/(# of numbers). Call the final exam grade x since it's unknown.

AVG = 90 = (86+90+87+92+88+94+x)/7

90 = (893+x)/7

630=537+x

93=x

If the question asked what was the needed score to earn at least an A-, then the answer would be:

93 <= x

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The internal angles of a polygon = (n-2)*180 where n is the number of sides. n=5, so in a pentagon the internal angles are (3)*180 = 540 degrees.

x+2x+3x+4x+5x = 540

15x=540

x=36.

The smallest angle is x = 36 degrees.

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Never leave a radical (in this case a square root or 1/2 power) in the denominator. Multiply the fraction by the denominator over itself.

For remember that

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Both of you are correct. A sequence can have multiple rules as long as the rules make sense.

56 is correct if the rule is "The left number is given, and the right number is the next even number greater than the last right number."

90 is correct if the rule is "this sequence is x on the left and y on the right (of the =) where y=x*(x+1)"

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Find perfect square factors of the number inside the square root. Then pull out the square root of the perfect square factor.

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When a root is at x=a then the factor is x-a. So for x=-6 the factor is x+6, and for x=-1 the factor is x+1. Multiplicity 3 means there are three factors (x+1).

Multiply the factors together to see the polynomial.

(x+6)(x+1)(x+1)(x+1) =

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Is the interest rate an annual rate?

The formula for compound interest is where P is principal amount, r is the annual rate, t is the time in years, A is the amount after that time, and e is the constant approx. 2.71828183

To find P...apply some algebra:
A. 36 months is 3 years. = $19,084.49

B. 9 years: = $11,121.45

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What are the options?

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You can express the difference as the % difference compared to the larger newspaper, and as the % difference compared to the smaller newspaper.

In general the % difference is difference/original x 100.

% difference of the larger paper is (1.67-1.08)/1.67 x 100 = .59/1.67 x 100 = 35.33%.

% difference of the smaller paper is .59/1.08 x 100 = 54.63%

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AB is congruent AC - Definition of an Isosceles triangle

BX is congruent to XC - Definition of a bisector

AX = AX - Reflexive property of equality (draw lines over the AX)

AX congruent to AX - definition of congruent.

Triangle ABX congruent to triangle ACX - SSS

Angle BAX congruent angle CAX - CPCTC (corresponding parts of congruent triangles are congruent

AX bisects angle BAC - Definition of angle bisector.

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Your answer is correct.

w = 256

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Volume involves three dimensions, so it's in cubic units. Area involves two dimensions (for example l x w in a rectangle), so it's in square units.

is in square units, so it's an area - surface area of a solid (like a cube or sphere) or area of a 2D figure (like a square or circle).

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