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3 years ago

Can someone help with either of these questions

Mathematics

2 answers:

spayn [35]3 years ago

8 0

$\frac{5(14-2)^{2}}{2}$

By the order of operations (parentheses, exponents, multiplication, division, addition, subtraction), we must get rid of the parentheses first.

Subtract 2 from 14.

$\frac{5*12^{2}}{2}$

Next is exponents. Square 12.

$\frac{5*144}{2}$

Multiply.

$\frac{720}{2}$

Divide.

Answer: 360

u + xy if u = 18, x = 10, and y = 8

Substitute.

u + xy

18 + 10(8)

Multiply.

18 + 80

Add.

Answer: 98

Ray Of Light [21]3 years ago

7 0

5(14 - 2)^2 / 2

= 5*12^2 / 2

= 5 * 144 / 2

= 5 * 72

= 360 answer

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3 years ago

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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

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[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

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Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
Evaluate exponents: 64 + 16 = x²
Add: 80 = x²
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3 0

3 years ago

Find the total surface area of the triangular prism

GuDViN [60]

Answer:

$1,008\:\mathrm{cm^2}$

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

$2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}$

Area of all three rectangles:

$15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}$

Therefore, the total surface area of this figure is:

$840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark$

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3 years ago

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I am Lyosha [343]

Answer:

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Step-by-step explanation:

Multiplying exponential terms with the same base

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$a^m \cdot a^m=a^{m+n}$

When we multiply exponents with same base then we add the exponents

So, adding the exponents best explains to simplify the expression that has same base with exponents .

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