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3 years ago

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Mathematics

2 answers:

marusya05 [52]3 years ago

6 0

Answer

Volume ≈ 141.37cm³

PSYCHO15rus [73]3 years ago

5 0

Answer:

141.3 cm³

Step-by-step explanation:

V=πr2h=π·32·5≈141.37167cm³

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Find the measure of angle A when two angles are congruent?

erica [24]

m∡A = 70º

1) Considering that the Sum of the interior angles within a triangle is always 180º

2) We can write the following, and solve for x

x+80 + x +80 +40 = 180

2x +160 +40 = 180

2x + 200 = 180

2x =180-200

2x= -20

x=-10

3) So since angle A = x +80, we can plug it into that the value of x

m∡A = x +80º

m∡A=-10+80

m∡A = 70º

4 0

1 year ago

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Virty [35]

Answer:

$x=\frac{6e^3}{e^3-1}$

Step-by-step explanation:

$ln x - ln(x - 6) = 3$

Apply natural log property

ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)

$ln x - ln(x - 6) = 3$

$ln(\frac{x}{x-6} )=3$

All natural log has base 'e'

$\frac{x}{x-6} =e^3$

cross multiply

$x=e^3(x-6)$

$x=e^3x-6e^3$

add 6e^3 on both sides and -x on both sides

$6e^3=e^3x-x$

$6e^3=x(e^3-1)$

Divide e^3-1 on both sides

$x=\frac{6e^3}{e^3-1}$

5 0

4 years ago

Thankssssssss smmmmmmm

vodomira [7]

9514 1404 393

Answer:

Step-by-step explanation:

The length of base CD is twice the length of midsegment FG, so you can write the equation ...

CD = 2×FG

-3x +52 = 2(13 +5x)

52 = 26 +13x . . . . . . . . add 3x, simplify

26 = 13x . . . . . . . . . subtract 26

2 = x . . . . . . . . . . divide by 13

Then the measure of CD is ...

CD = -3x +52 = -3(2) +52 = -6 +52

CD = 46

5 0

3 years ago

Elsa got an 86%on her first science test, a 47/50 on her second test, and a 0.89 on her third test. Arrange the scores from leas

Lostsunrise [7]

Answer:47/50 86% 0.89

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which two of the following are applications of the Logarithmic model? *

stellarik [79]

Question:

a. College GPA

b. Richter Scale

c. Acidity/Alkalinity

d. Compound Interest

e. Amortization Schedule

Answer:

The correct two options are;

b. Richter Scale

c. Acidity/Alkalinity

Step-by-step explanation:

Here we have

b. The Richter Scale, given by the following relation;

$M = log(\frac{I}{I_0} )$

M = Earth quake magnitude

I = Earthquake intensity

I₀ = Earthquake intensity of magnitude 0

Comparing two Earthquakes, A and B, we have

$M_A - M_B = log(\frac{I_A}{I_B} )$

c. Acidity/Alkalinity are determined by the pH of the solution, which is the negative logarithm of the hydrogen ion concentration

pH = -log₁₀ [H⁺].

5 0

3 years ago