MATHEMATICS HIGH SCHOOL

Find the value of x, if x√20=7√5-√45

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

x SR20 = 7 SR5 - SR45

x = (7 SR5 - SR45) / SR20

x = 2

Related Questions

A tree of 14mheight is broken by the wind so that it's top touches the ground. Find the length of broken part of the tree.
Solve for x. 17−x=36 −53 −19 19 53
4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).
One question is all I need help on.
Is the algebraic expression 19s-19 in simplest form?

AHH HELPPPP !!!!-In the following diagram, two parallel lines are cut by a transversal. The measure of which angle is equal to the measure of angle 1 ?
a - angle 2
b - angle 3
c - angle 4
d - angle 6

Answers

Final answer:

The correct option is c.

In the given diagram, angle 1 is equal to angle 4. Vertically opposite angles are formed when two lines intersect, and in this case, angle 1 and angle 4 are vertically opposite angles.

Explanation:

For question 1, in a diagram where parallel lines are cut by a transversal, the angles corresponding to each other are congruent. Therefore, the measure of angle 4 is equal to the measure of angle 1.

Vertically opposite angles occur when two lines intersect. The angles that are directly across from each other (i.e., vertically opposite to each other) are equal. Hence, in the case of angle 1 and angle 4, these are vertically opposite angles and are equal.

Learn more about angle equality and vertically opposite angles here:

brainly.com/question/29147905

#SPJ2

Answer:

angle 4

Step-by-step explanation:

1 and 4 are vertical angles

∠1 = ∠4

This according to the vertical angle theorem

Hope this helps!!

The explicit formula for a sequence isan=−1+3(n−1)

What is the 55th term of the sequence?

Answers

Step-by-step explanation:

$\because \: a_n = - 1 + 3(n - 1) \n \n \therefore \: a_(55) = - 1 + 3(55 - 1) \n \n \therefore \: a_(55) = - 1 + 3 * 54 \n \n \therefore \: a_(55) = - 1 + 162\n \n \huge \blue { \boxed{\therefore \: a_(55) = 161}}\n \n$

Hence, the 55th term of the sequence is 161.

Find the Value of 8 1/3

Answers

The value of $8^{(1)/(3) }$ is 2.

What are the laws of exponents?

The Laws of Exponents are:

$x^(m) .x^(n) =x^(m+n)$

$(x^(m) )/(x^(n) ) =x^(m-n)$

$(x^{^(m))n}=x^(mn)$

$(xy)^(m) =x^(m) y^(m)$

According to the given question.

We have a number in exponential form $8^{(1)/(3) }$

The above exponential number can be written as

$8^{(1)/(3) }$

$= 2^{3((1)/(3) )}$ (because $2^(3) = 8$ )

$= 2$ ( because $(3)(1)/(3) = 1$ )

Hence, the value of $8^{(1)/(3) }$ is 2.

Find out more information about laws of exponents here:

brainly.com/question/568161

#SPJ2

$8^{ (1)/(3) } = \sqrt[3]{8} = 2$

$8^{ (2)/(3) } = \sqrt[3]{8^2} = \sqrt[3]{64} = 4$

HELP ME PLEASEMatch each transformation or sequence of transformations to an equivalent transformation or sequence of transformations.
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin

arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight

Answers

Answer:

a 90° counterclockwise rotation about the origin

a 180° rotation about the origin

a 90° clockwise rotation about the origin

a 90° counterclockwise rotation about

the origin and then a 180° rotation

about the origin

Step-by-step explanation:a 90° counterclockwise rotation about the origin

a 180° rotation about the origin

a 90° clockwise rotation about the origin

a 90° counterclockwise rotation about

the origin and then a 180° rotation

about the origin

Final answer:

A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.

Explanation:

In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.

A 90° counterclockwise rotation about the origin is equivalent to a 270° clockwise rotation about the origin because they both result in the same final position.
A 180° rotation about the origin is equivalent to a reflection across the x-axis and then a reflection across the y-axis. Both of these transformations result in the figure being flipped over the origin.
A 90° clockwise rotation about the origin is equivalent to a 270° counterclockwise rotation about the origin as they both result in the same final position.
A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin is equivalent to a 90° clockwise rotation about the origin and then a rotation 180° about the origin because they both result in the same final position.

Learn more about Geometry Transformations here:

brainly.com/question/30165576

#SPJ2

Simply this expression 4(-8x + 5) – (-33x – 26) = totally lost on this one can someone please help me :) and please explain how you figured this out

Answers

Simplifying 4(-8x + 5) + -1(-33x + -26) = 0 Reorder the terms: 4(5 + -8x) + -1(-33x + -26) = 0 (5 * 4 + -8x * 4) + -1(-33x + -26) = 0 (20 + -32x) + -1(-33x + -26) = 0 Reorder the terms: 20 + -32x + -1(-26 + -33x) = 0 20 + -32x + (-26 * -1 + -33x * -1) = 0 20 + -32x + (26 + 33x) = 0 Reorder the terms: 20 + 26 + -32x + 33x = 0 Combine like terms: 20 + 26 = 46 46 + -32x + 33x = 0 Combine like terms: -32x + 33x = 1x 46 + 1x = 0 Solving 46 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 1x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 1x = 0 + -46 1x = 0 + -46 Combine like terms: 0 + -46 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46

19. A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A customer buys the furniture and pays an additional 8% sales tax. How much does the customer pay for the furniture?

Answers

Answer: The customer pays $1108.08 for the furniture.

Step-by-step explanation:

1. Determine the selling price of the furniture.

2. Calculate the sales tax.

3. Add the sales tax to the selling price.

Step 1: Determine the Selling Price

The store manager increases the purchase cost by 125%. To find the selling price, we first calculate the increase:

$\[\text{Increase} = \text{Purchase Cost} * \frac{\text{Percentage Increase}}{100}\]\[$

$\text{Increase} = \$456.00 * (125)/(100) = \$456.00 * 1.25 = \$570.00\]$

Now, we add this increase to the original purchase cost to find the selling price:

$\text{Selling Price} = \text{Purchase Cost} + \text{Increase}\]\[\text{Selling Price} = \$456.00 + \$570.00 = \$1026.00$

Step 2: Calculate the Sales Tax

The customer pays an additional 8% sales tax on the selling price. To find the sales tax, we use:

$\[\text{Sales Tax} = \text{Selling Price} * \frac{\text{Sales Tax Percentage}}{100}\]\[$

$\text{Sales Tax} = \$1026.00 * (8)/(100) = \$1026.00 * 0.08 = \$82.08\]$

Step 3: Add the Sales Tax to the Selling Price

Finally, to find out how much the customer pays in total, we add the sales tax to the selling price:

$\text{Total Cost} = \text{Selling Price} + \text{Sales Tax}\]\[\text{Total Cost} = \$1026.00 + \$82.08 = \$1108.08$

The customer pays $1108.08 for the furniture.

Other Questions

A repeated initial sound is the basis of _____.

How many ways can the letters of the word ORGANISM be arranged so the third letter is G?

Tanesha’s utility and telephone bills for the month totaled $150. The utility billwas 4 times as much as the telephone bill. How much was each bill?

Find the area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards long. Round your answer to the nearest tenth.