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3 years ago

The area of a rectangular patio is 3x2 + 17x + 20 ft

Mathematics

1 answer:

krek1111 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

3 years ago

Find the equation of the line shown. 1 0 -2

wolverine [178]

Answer:

your didn't give any proper point ,but i assuming the the question as

the line pass through the point (1,0,-2)

so answer is

(x-1)/a = y/b = (z+2)/c,

where a,b,c are constant

Step-by-step explanation:

4 0

2 years ago

You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space

Aneli [31]

Answer:

<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>

Step-by-step explanation:

Givens

The diameter of the globe (sphere) is 30 centimeters,
The box must has dimensions 30x30.

We need to find each volume to subtract them.

$V_{box}=(30cm)^{3}= 27,000 \ cm^{3}$

$V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}$

The difference betweem the box and the sphere is

$\Delta V=27,000 - 14,130 = 12,870 \ cm^{3}$

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

5 0

2 years ago

What is the value of the expression 12.25 + (-17.75)?

Reika [66]

Answer:

-5.5

Step-by-step explanation:

7 0

3 years ago

Evaluate f(x) = x2 – 12 when x = 5

Ede4ka [16]

Answer:

f(5) = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function notation and substitution

Step-by-step explanation:

Step 1: Define

f(x) = x² - 12

x = 5

Step 2: Evaluate

Substitute: f(5) = 5² - 12
Exponents: f(5) = 25 - 12
Subtract: f(5) = 13

4 0

3 years ago

Read 2 more answers