MATHEMATICS HIGH SCHOOL

Approximate 120 square root to the nearest hundredth.

Answers

Answer 1
Answer:

Answer:

10.95

Step-by-step explanation:

The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)

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Find the area of the figure to the nearest tenthA. 8.2 in.2 B. 74.2 in.2 C. 148.4 in.2 D. 23.6 in.2
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Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.B.Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not. 5x − 1 = 2(x + 4) 5x − 1 = 2x + 8 7x − 1 = 8 7x = 7 x = 1

List all numbers from the given set that​ are: a. Natural​ numbers, b. Whole​ numbers, c.​ integers, d. Rational​ numbers, e. Irrational​ numbers, f. Real numbers.

Answers

Answer:

The given question is incomplete.

The set of numbers should be : -11, -5/6, 0, 0.75, $\sqrt5$, $\pi$, $√(64)$,

Step-by-step explanation:

a). Natural numbers : Natural numbers starts form 1  up to positive infinity. They are non negative integers.

The numbers are : $√(64)$

b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.

The numbers are : 0, $√(64)$

c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.

The numbers are : -11, 0, $√(64)$

d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.

The numbers are : -11, -5/6, 0, 0.75, $√(64)$

e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers

The numbers are : $\sqrt5, \pi$

f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.

The numbers are : -11, -5/6, 0, 0.75, $\sqrt5$, $\pi$, $√(64)$,

What is 40/3 as a mixed number?

Answers

The fractional-number "40/3" can be expressed as "13(1)/(3)" in the "mixed-number" form.

To write the fraction "40/3" as "mixed-number" representation, we first  determine the "fractional-part" and the "whole-number" part.

Dividing 40 by 3, we find that it is not evenly divisible. The quotient is 13, and the remainder is 1.

The whole number part is 13, indicating that there are 13 whole units. The fractional part is 1 out of 3, representing one-third of another unit.

Combining these, we can express 40/3 as the mixed number 13 1/3. It signifies 13 whole units and a fractional part of 1/3, indicating a value greater than 13 but less than 14.

Therefore, the required mixed-number is 13(1)/(3).

Learn more about Mixed Number here

brainly.com/question/28226527

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You would see how many times 3 goes into 40 then put the extra over 3. 13 1/3

ANSWER ASAP PLEASE! What is the equation of a parabola in standard form given the directrix is y = 3 and the focus is (3,-3)?(x - _ )^2 = _y

Answers

Answer: (x - 3)^2 = -24(y + 3)

Step-by-step explanation:

To find the equation of the parabola in standard form, we can use the formula (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.

Given that the directrix is y = 3 and the focus is (3, -3), we can see that the parabola opens downward.

The focus is (h, k + p) = (3, -3) and the directrix is y = k - p = 3. By comparing the y-coordinates, we can find p.

-3 = 3 + p

p = -6

Substituting the values into the formula, we get:

(x - 3)^2 = 4(-6)(y - (-3))

So, the equation of the parabola in standard form is (x - 3)^2 = -24(y + 3).

Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.

Answers

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

Write an inequality for the given statement: The sum of x and 25 is less than 75.

Answers

That statement would be best express by " x + 25 < 75 ". Since the statement says the sum of x and 25, thus, it will be x + 25. Then it also states that the sum is less than 75, so the best expression would be " < 75".

△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ?


A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions.

D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.

Answers

Transformation involves changing the position of a shape.

The correct statement is: (b) △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

The transformation rule is given as:

\mathbf{(x,y) \to (-x,-y)}, then:

\mathbf{(x,y) \to (x,-y)}

  • The first transformation \mathbf{(x,y) \to (-x,-y)} is 180 degrees rotation across the origin
  • The second transformation \mathbf{(x,y) \to (x,-y)} is a reflection across the x-axis

Rotation and reflection are both rigid transformation.

Hence, the correct option is (b):

Read more about rotation and reflection at:

brainly.com/question/15577335

Answer:

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

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