MATHEMATICS HIGH SCHOOL

Are 2/3 and 5/6 equivalent ratios. Justify your answer

Answers

Answer 1

Answer: No because u would multiply to get a common denominator and it would be 4/6 5/6

Answer 2

Answer:

Answer:

no they are not because 2/3 is equal to .6 and 5/6 is equal to .83

Step-by-step explanation:

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The coordinates of the vertices of ANGLE RST are R(-3,5), and S(4,5), and T(4,-2). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Answers

Side lengths: RS=7 and ST=7, and angle=90 degrees

Why?

Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7

Since first coordinates of R is the same as first coordinate of T so we can just count the length by adding second coordinates of S and T=5+|-2|=7

Angle: RST is =90 degrees because triangle RST is right angled triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .

Plz help me!!The data below represents the number of medals won by the top ten countries in the 2014

Winter Olympics. If the mean is 20.4 and the standard deviation is 7.9, circle all values that

fall within one standard deviation of the mean.

6, 11, 15, 17, 19, 24, 25, 26, 28, 33

Answers

Answer:

You should circle:

15, 17, 19, 24, 25, 26, 28

Step-by-step explanation:

The values x that falls within 1 standard deviation of the mean are those which.

$|x - 20.4| \leq 7.9$

|6 - 20.4| = 14.4 > 7.9

6 is not within 1 standard deviation of the mean.

|11 - 20.4| = 9.4 > 7.9

11 is not within 1 standard deviation of the mean.

|15 - 20.4| = 5.4 < 7.9

15 is within 1 standard deviation of the mean.

|17 - 20.4| = 3.4 < 7.9

17 is within 1 standard deviation of the mean.

|19 - 20.4| = 1.4 < 7.9

19 is within 1 standard deviation of the mean.

|24 - 20.4| = 3.6 < 7.9

24 is within 1 standard deviation of the mean.

|25 - 20.4| = 4.6 < 7.9

25 is within 1 standard deviation of the mean.

|26 - 20.4| = 5.6 < 7.9

26 is within 1 standard deviation of the mean.

|28 - 20.4| = 7.6 < 7.9

28 is within 1 standard deviation of the mean.

|33 - 20.4| = 12.6 > 7.9

33 is not within 1 standard deviation of the mean.

Letitia is making a pizza that needs to cover 36 square inches. Give two possible sets of dimensions (length and width) that will give Letitia's pizza the desired area. Also give the perimeter for each set.

Answers

ok so assuming you ahve a rectangle (since you gave legnth and width)

area=legnth times width
perimiter=L+L+W+W=2L+2W=2(L+W)

area=36
some factors are
6 and 6
4 and 9
3 and 12
2 and 18
1 and 36
those are only whole numbers, but tat is for ease

so add and mutliplyby 2 (preimiter

6 and 6, P=2(6+6)=24
4 and 9, P=2(4+9)=26
3 and 12, P=2(3+12)=30
2 and 18, P=2(2+18)=40
1 and 36, P=2(1+36=74

If x is an integer, then is -x positive?

Answers

Answer:

If x is an integer, then for values of x ≤ 0 would -x be positive.

General Formulas and Concepts:

Math

Integers

Step-by-step explanation:

We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.

If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.

∴ x can only be negative integers, thus giving us x ≤ 0.

Plz help meeQuestion is in the picture

A. factoring
B. isolating the x^2 term and finding the square root of both sides
C. using the quadratic formula
D. all three methods would be efficient

Answers

The answer to this is D

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

Answers

Quadratic equation is the polynomial equation whose highest power of the variable is two. The standard form of the given equation is,

$x^2-16x-36&=0$

The factor roots of the equation are -2 and 8.

Given information-

The quadratic equation given in the problem is,

$x^2 -6 = 16x + 30$

Quadratic equation-

Quadratic equation is the polynomial equation whose highest power of the variable is two. Quadratic equation is the equation which involves only one unknown variable.

The standard form of the quadratic equitation can be given as,

$ax^2+bx+c=0$