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3 years ago

What is the circumference (in inches) of a circle with radius of 5 inches? Use 3.14 for π.

Mathematics

2 answers:

ahrayia [7]3 years ago

5 0

Answer=31.42(rounded to the 100th)

C=2pi(r)

So 2*5=10

Then 10*pi and you get your circumference

sp2606 [1]3 years ago

3 0

Answer:

31.4in

Step-by-step explanation:

A circle's circumference is given by c=2πr.

Using this formula and the given radius (5), we can rewrite the equation to c=2×π×5, and simplify to c=10π.

From there, we want to replace π with 3.14. This gives the equation c=10×3.14.

This can be solved to c=31.4in.

**This content involves the circumference of circles, which you may want to revise. If this is required to be calculated by hand, you may need to revise multiplying with decimals too. I'm always happy to help!

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3 years ago

Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a

vodka [1.7K]

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3 years ago

Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

Identify.

y = 2x + 3

x-interval [3, 4]

x-axis

See attachment for graph.

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

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Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

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2 years ago

Which statement explains how the lines x + y = 2 and y = x + 4 are related?

zysi [14]

Answer: X = -1 and Y = 3
—————————————
X + Y = 2
X = 2 - Y
————————
Y = x + 4
Y = 2 - Y + 4
2Y = 2 + 4
2Y = 6
Y = 3
————————
X + Y = 2
X + 3 = 2
X = -1

8 0

2 years ago

What is the value of x

Natali [406]

Answer:

x = 12

Step-by-step explanation:

The two angles are complementary since they form a 90 degree angle.

35+ 4x+7 = 90

Combine like terms

42 +4x = 90

Subtract 42 from each side

42-42 +4x =90-42

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

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3 years ago