All categories

3 years ago

How should I solve for x and what is x?

Mathematics

1 answer:

algol [13]3 years ago

8 0

Answer:

x =12

Step-by-step explanation:

We can use the Pythagorean theorem to solve for x

a^2 + b^2 = c^2

16^2 + x^2 = 20^2

256 +x^2 = 400

Subtract 256 from each side

256-256 +x^2 = 400-256

x^2 =144

Take the square root of each side

sqrt(x^2) =sqrt(144)

x = 12

You might be interested in

1) Find the missing side. Give your answer in simplest radical form.

gladu [14]

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
Evaluate exponents: 64 + 16 = x²
Add: 80 = x²
[Equality Property] Square root both sides: √80 = x
Rewrite: x = √80
Simplify: x = 4√5

3 0

3 years ago

A company rents water tanks shaped like cylinders. Each tank has a radius of 3 feet and a height of 2 feet. The cost is $4 per c

vivado [14]

Answer:

Cost to rent one tank=226.08 Dollars

Step-by-step explanation:

Radius of the cylindrical tank=3 feet

Height of the tank= 2 feet

Cost to rent one tank= Volume of one tank * cost to rent one cubic feet of volume

Volume of the cylindrical tank:

= $\pi r^2$

As, $\pi =\frac{22}{7}=3.14$

Putting the values in the formula:

Volume of the tank:

$=3.14*(3*3)*2\\\\=3.14*9*2\\\\=3.14*18\\\\=56.52feet^3$

Cost to rent one cubic feet= 4 Dollars

Cost to rent 56.52 Cubic feet of one tank;

= 4*56.52

=226.08 Dollars

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}

Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

The parentheses are important so you cube the negative sign as well!

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

3 years ago

yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h

algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0

3 years ago

What is The value of -8/15 · 20/64

madam [21]

The answer is

-41/16

4 0

4 years ago

Read 2 more answers