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3 years ago

A cylinder has a volume of 3201 cubic inches and a height of 5 inches.

Mathematics

1 answer:

enot [183]3 years ago

5 0

Answer:

r≈14.28in

h Height

V Volume

3201

in³

Using the formula

V=πr2h

Solving forr

r=V

πh=3201

π·5≈14.27522in

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AB and CD are parallel find the value of y<br> Show clearly how you got your answers with reasons

Zina [86]

Answer:

y = 167°

Step-by-step explanation:

The vertex of the triangle = 154° ( alternate angle to 154° )

The triangle has 2 equal legs so is isosceles with 2 base angles congruent

base angle = $\frac{180-154}{2}$ = $\frac{26}{2}$ = 13°

base angle and y are adjacent angles, lie on straight line AB and sum to 180°

y + 13° = 180° ( subtract 13° from both sides )

y = 167°

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3 years ago

Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question

maw [93]

Answer:

Step-by-step explanation:

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3 years ago

What is a formula for the nth term of the given sequence? 15,75,375

spin [16.1K]

Answer:

3 × 5 ^ n

Step-by-step explanation:

since the series is exponential, the ratio between adjacent terms is 5.

nth term of geometric/exponential series is given by:

nth term = first term × (ratio)^(n-1)

= 15 × 5^ (n-1)

= 15 × 5^n × 5^-1

= 3× 5^n

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3 years ago

Multiplying Powers with the Same Base

Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>

Base on the product rule for exponents, we have, $a^m \times a^n = a^{m + n} = a^{mn}$ .
In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. $5^6 \times 5^{-4$

Add the exponents together

$5^6 \times 5^{-4} = 5^{(6) + (-4)}$

$5^6 \times 5^{-4} = 5^2$

2. $5 \times 5^3$

Add the exponents together

$5 \times 5^3 = 5^{(1 + 3)}$

$5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3}$

Add the exponents together

$5^{-3} \times 5^{-3} = 5^{(-3) + (-3)$

$5^{-3} \times 5^{-3} = 5^{-6$

$5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0$

Add the exponents together

$5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)$

$5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3}$

Add the exponents together

$5^{7} \times 5^{3} = 5^{10}$

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

Learn more about product rule of exponents on:

brainly.com/question/847241

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2 years ago

FACTOR THE GCF<br><br> y(x^2+2)+3(x^2+2)

ioda

$y(x^2+2)+3(x^2+2)=(x^2+2)(y+3)$

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3 years ago

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