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Katyanochek1 [597]
2 years ago
8

What is the area of a circle with a radius of 5 inches?

Mathematics
1 answer:
Igoryamba2 years ago
4 0

Answer:

78.54in²

Step-by-step explanation:

i used the formula

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The graph shows the cost of gasoline at a gas station. Find the cost in dollars per gallon
lbvjy [14]

Answer:

7/2 or 3.5

Step-by-step explanation:

The y-axis represents the cost is dollars. The x-axis is the amount of gasoline in gallons. To find the cost in dollars per gallon, choose a point on the graph, and divide the dollars (y-coordinate) by the gallons (x-coordinate).

cost = (21/4) / (3/2)

cost = 21/4 * 2/3

cost = 42/12

cost = 7/2 = 3.5

4 0
3 years ago
Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2
zimovet [89]

The factors of 36x^8 – 49 are  (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

<h3>What is the formula for (a^2-b^2)?</h3>

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

F=(6x^4)^2-7^2

F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)

Thus, the required factors are

F=((6x^4)-7)(6x^4)+7)

Therefore,option (C) is correct.

To learn more about factors visit:

brainly.com/question/25829061

7 0
2 years ago
Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it is convergent, find its sum
Inessa05 [86]
<span> i'm going to be slightly extra careful in showing each step. specific, ln [n / (n+a million) ]= ln n - ln(n+a million). So, we've sum(n=a million to infinity) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) [ln n - ln(n+a million)] = lim(ok--> infinity) (ln a million - ln 2) + (ln 2 - ln 3) + ... + (ln ok - ln(ok+a million)) = lim(ok--> infinity) (ln a million - ln(ok+a million)), for the reason that fairly much all the words cancel one yet another. Now, ln a million = 0 and lim(ok--> infinity) ln(ok+a million) is countless. So, the sum diverges to -infinity. IM NOT COMPLETELY SURE

</span>
3 0
3 years ago
The volume of a sphere is 2,098 pi m^3 what is the surface area of the sphere to the nearest tenth?
Karo-lina-s [1.5K]

Answer:

3139.5 m²

Step-by-step explanation:

the formula for the volume of a sphere of radius r is V = (4/3)πr³.  In this particular case, V = 2098π m³ = (4/3)πr³, and from this we can calculate the radius, r:

       2098π m³

r³ = -----------------  =  (3/4)(2098 = 1483/5

       (4/3)π

Thus r = ∛1573.5 m³ =  11.64 m

Then the surface area is A = 4πr², which in this case is

A = 4(3.14159)(11.64 m)^2 = 1702.6 m² (which is to the nearest tenth).

8 0
3 years ago
If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.
nexus9112 [7]

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

#SPJ1

6 0
2 years ago
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