Mrs. thomas wants to put a table in the corner of a room. she considers the measurements of these tables. table 1 length: 1.5 feet width: 2.4 feet diagonal: 3.0 feet table 2 length: 3.2 feet width: 2.8 feet diagonal: 4.0 feet table 3 length: 2.4 feet width: 3.2 feet diagonal: 4.0 feet table 4 length: 2.6 feet width: 1.8 feet diagonal: 3.0 feet the walls forming the corner meet at a 90º angle. which table will fit snugly in the corner? table 1 table 2 table 3 table 4

Answer:

x=3

Step-by-step explanation:

X^2*x^3 → x^5

x^5 = 243 means x = 3

Answer:

The number is 3.

Step-by-step explanation:

Let "The square of the number" be x^2.

Let "the cube of the same number" be x^3.

"product" means multiplication.

x^2 • x^3 = 243

Multiply. To multiply, add the exponents.

x^5 = 243

Take the 5th root of both sides. You can do this on many scientific calculators with a x^y button. Or raise 243^ (1/5)

1/5 power is the same as 5th root.

You might do it in your head by thinking "what number to the 5th power is 243"

x = 3

Check 3^5 = 243

also

3^2 • 3^3 = 43

9 • 27 = 243

243 = 243 check

Answer:

(5^6)/(5^3) = 5^3 or 125

Step-by-step explanation:

^ = raised power

(5^6)/(5^3)

because base (5) is same:

law of indices: n^a ÷ n^d = n^(a-d)

therefore

5^6 ÷ 5^3 = 5^(6-3)

= 5^3 which is 125

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

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Answer:

The volume of the box is 250cm³

Step-by-step explanation:

V = Length * Width * Height

V = 5cm * 5cm * 10cm

V = 250cm³

The volume of the given box (rectangular prism).

[tex]V = whl[/tex]

[tex]V = 10 \times 5 \times 5[/tex]

[tex]\large\boxed{\sf{V = 250 \: {cm}^{3}}}[/tex]

Therefore, the volume of the given box (rectangular prism) is 250 cubic centimeters.

Answer:

A

Step-by-step explanation:

The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.

By applying the central angle property, the measure of angle HLK is equal to 29°.

The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.

This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.

By applying the central angle property, we have:

HK = 2m∠HLK

58 = 2m∠HLK

m∠HLK = 58/2

m∠HLK = 29°.

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Answer:

x = 5

Step-by-step explanation:

make them equal to each other

3x = 4x-5

x = 5

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Answer:

Its a linear function as there is a common difference of -9.

Step-by-step explanation:

x  y      Difference

1   4    

2  -5      -9

3 -14      -9

4 -23     -9

5 -32     -9

For a difference in x of we have a difference in y  of -9.

Answer:

See below ~

Step-by-step explanation:

2. a. Combination (as there is no particular order in which they are selected)

3. b. 5 (As there are 5 letters present)

4. Ways in which the word can be arranged :

5. No. of ways :

6. P (Honda) :

Answer: 4) 24

Step-by-step explanation:

Taking into account the definition of a system of linear equations, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

The tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children.

45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets.

So, the system of equations to be solved is

[tex]\left \{ {{x+y=45} \atop {4.50x+2y=162.5}} \right.[/tex]

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "x" from the first equation you get:

x=45 - y

Then, substituting the expression in the second equation you get:

4.50×(45 - y) +2y=162.5

Solving:

4.50×45 - 4.50y +2y=162.5

4.50×45 - 4.50y +2y=162.5

202.5 -2.5y= 162.5

-2.5y= 162.5 -202.5

-2.5y= -40

y= (-40)÷ (-2.5)

y=16

Now, replacing in the expression x=45 - y you get:

x=45 -y

x= 45-16

x= 29

Finally, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.

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Answer:

The answer is D. Hope this helps :)

Answer:

hello!!!!

im pretty sure the answer is (x, y) --> (-3x, -3y)

please read the explanation it always helps!!!

Step-by-step explanation:

reduction most likely means that you are dealing with dilations in geometry....

and that means you will need to multiply both x and y by a negative number.

i hope this helps!!!

Answer:

See below

Step-by-step explanation:

2 ^(5+x) = 2^8            (because 256 = 2^8)

 equate the exponents    5+x = 8     then x = 3

1/3 ^(2+x) = 1 / 3^ 6        (because 729 = 3^6 )

  equate the exponents  2+ x = 6    then x = 4

Answer:

a) x = 3

b) x = 4

Step-by-step explanation:

Use the Exponential Power Rule.

[tex]a^x \times a^y = a^{x+y}[/tex]

Also covert the term on the right to the same base as on the left.

If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]

Without calculator you can divide with base untill you have it fully factored, then count. For example:

256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1

We had to divide with base two 8 times so 256 = 2⁸.

a)

[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]

Now that we have same base we can equate the exponents!

[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]

[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]

Answer:

some people an fly high until good bye

Step-by-step explanation:

Answer:

The final balance would be $1,528.84

Step-by-step explanation:

The final balance would be $1,528.84 and the total compound interest would be $993.84

Answer:

2 190km

Step-by-step explanation:

365×3= 1 095

1 095×2km= 2 190km

Answer:

-16 -14 -12

Step-by-step explanation:

This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.

The quotient of  (x⁴ - 3x² + 4x - 3) and (x² + x - 3)  is x² - x + 1

The quotient expression is given as:

(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)

Factor the dividend of the quotient expression

(x² + x - 3)(x² - x + 1)  ÷ (x² + x - 3)

Cancel out the common factors

x² - x + 1

The above means that:

The quotient of  (x⁴ - 3x² + 4x - 3) and (x² + x - 3)  is x² - x + 1

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Answer:

160in³

Step-by-step explanation:

V = lwh

V = 5(4)(8)

V = 40(4)

V = 160in³

Answer:

Here is the answer...hope it helps

Answer:

[tex] \frac{8}{5} = \frac{2}{m - 3} \\ \\ \implies \: 8(m - 3) = 2 \times 5 \\ \\ \implies \: 8m - 24 = 10 \\ \\ \implies \: 8m = 10 + 24 \\ \\ \implies \: 8m = 34 \\ \\ \implies \: m = \frac{34}{8} \\ \\ \implies \: \boxed{m = 4.25}[/tex]

therefore , second option is correct.

hope helpful ~

Answer:

the answer is c 4 hours because it's 75 per hour

Answer:

a triangle with two equal sides

Step-by-step explanation:

To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.

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Answer:

you did it wrong you have to subtract X from 8900.

First you want to subtract 390 from 8900 and that equals

Answer:

B and C are functions.

Step-by-step explanation:

B and C are functions because they satisfy the Vertical Line Test. A and D are not functions because they do not satisfy the Vertical Line Test.

Answer:

you have to make a fraction into a whole number.

Step-by-step explanation:

Answer:

A). X = -3

Step-by-step explanation:

Step 1: Add 20 to both sides.

Step 2: Divide both sides by 7.

Step 3: Check if solution is correct.