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3 years ago

Which expression can be used to find the surface area of the following square pyramid?

Mathematics

1 answer:

kodGreya [7K]3 years ago

6 0

Answer:

Step-by-step explanation:

expression for surface area = a² + a √(a²/4+h²)

=4² + 2(4) √(4²/4+5²)

=16 + 8 √(16/29)

= 24 √0.55

= 20.65

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Arithmetic of Functions Problem:

timurjin [86]

Answer:

option B is correct, i.e. (f+g)(x) = x² + 3x - 5.

Step-by-step explanation:

Given f(x) = 3x + 1.

Given g(x) = x² - 6.

To find (f+g)(x).

The rule of Arithmetic of functions is:- (f+g)(x) = f(x) + g(x).

(f+g)(x) = (3x+1) + (x²-6).

(f+g)(x) = x² + 3x + 1 - 6.

(f+g)(x) = x² + 3x - 5.

Hence, option B is correct, i.e. (f+g)(x) = x² + 3x - 5.

4 0

3 years ago

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Solve - 4x2 - 4x - 9 = 0, stating your solutions in the form a = bi. Someone please answer!!

PIT_PIT [208]

Answer:

$x=-0.5 \pm -i\sqrt{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary Roots: √-1 = i
Standard Form: a + bi

Step-by-step explanation:

Step 1: Define

-4x² - 4x - 9 = 0

a = -4

b = -4

c = -9

Step 2: Find roots

Substitute: $x=\frac{4\pm\sqrt{(-4)^2-4(-4)(-9)} }{2(-4)}$
Exponents: $x=\frac{4\pm\sqrt{16-4(-4)(-9)} }{2(-4)}$
Multiply: $x=\frac{4\pm\sqrt{16-144} }{-8}$
Subtract: $x=\frac{4\pm\sqrt{-128} }{-8}$
Factor: $x=\frac{4\pm \sqrt{-1} \cdot \sqrt{128} }{-8}$
Simplify: $x=\frac{4\pm 8i\sqrt{2} }{-8}$
Factor: $x=\frac{4(1\pm 2i\sqrt{2}) }{-8}$
Divide: $x=\frac{1\pm 2i\sqrt{2}}{-2}$
Expand: $x=\frac{-1}{2} \pm \frac{-2i\sqrt{2} }{2}$
Simplify: $x=\frac{-1}{2} \pm -i\sqrt{2}$
Evaluate: $x=-0.5 \pm -i\sqrt{2}$

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3 years ago

What ratios are equivalent to 4:1

tatuchka [14]

Answer:

12:3

Step-by-step explanation:

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3 years ago

There are 16 boys and 19 girls in a class. The teacher calls the

san4es73 [151]

Answer:

1/12/2121 precent

Step-by-step explanation:

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3 years ago

What’s five multiplied my seven?

jeyben [28]

Answer:

35 is the answer

Step-by-step explanation:

it just is yeyeye

4 0

3 years ago

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