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3 years ago

Find the area of a regular dodecagon (12 sided regular

Mathematics

1 answer:

Elis [28]3 years ago

6 0

Answer:

3434

Step-by-step explanation:

3=343+3=3434

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Simplify the expression 4 to the 3 power and 4 to the negative 6 power fractions

Vesnalui [34]

Answer:

Step-by-step explanation:

4³/4⁻⁶ = 4³⋅4⁶ = 4³⁺⁶ = 4⁹

7 0

3 years ago

Find the unknown side length x write your answer in simplest radical form

Sauron [17]

Answer:

(B) $4\sqrt{37}$

Step-by-step explanation:

First, we determine the height of the triangle which we label as y.

Using Pythagoras Theorem.

$25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24$

In the smaller right triangle with hypotenuse, x

Base = 7-3 =4 Units

Height, y= 24 Units

Therefore, applying Pythagoras Theorem.:

$x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}$

5 0

3 years ago

Of the 600 sixth graders at Melville Middle School, 80% want more field trips. How many students want more field trips? Use the

irga5000 [103]

Answer:

480 students want more field trips.

60 students is 10%.

Step-by-step explanation:

There are 600 students, and 80% want more field trips.

80% of 600 is 0.8*600 = 8*60 = 480 students.

480 students want more field trips.

6 0

3 years ago

N to the second power - 5 in - 1 in equals 6

Wittaler [7]

Answer:

the question is incorrect.

4 0

3 years ago

Find the volume of the solid of revolution generated by revolving the region bounded by y = 2x^2, y = 0, and x = 2 about the x-a

Irina18 [472]

Answer:

$128 \pi/5 units^3$

Step-by-step explanation:

The volume of the solid revolution is expressed as;

$V = \int\limits^2_0 {\pi y^2} \, dx$

Given y = 2x²

y² = (2x²)²

y² = 4x⁴

Substitute into the formula

$V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\$

Substituting the limits

$V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3$

Hence the volume of the solid is $128 \pi/5 units^3$

5 0

3 years ago