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4 years ago

The polynomial 2x3y4-7x2y3 is what degree? 6 5 7 9

Mathematics

1 answer:

podryga [215]4 years ago

8 0

Answer:

Step-by-step explanation:

To find the degree of a polynomial you must find the term with the highest degree.

First, you must identify each term in the polynomial. In this problem there are two terms 2x^3 y^4, and -7x^2 y^3.

If there are multiple variables in the terms, like in this equation, you will add the exponents within the term.

For the term 2x^3 y^4 you will add the exponents 3 and 4 (3+4=7). The sum of the exponents is 7 meaning this term has a degree of 7.

For the term -7x^2 y^3 you will add the exponents 2 and 3 (2+3=5). This term has a degree of 5.

Since the highest degree term is 7, the degree of polynomial is 7.

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A square has a side that measures 55 units. What is the area of a circle with a circumference that equals the perimeter of the s

Taya2010 [7]

<h3><u>Given</u>:-</h3>

$\rightarrow$ Side of square = 5.5 units.

$\rightarrow$ Circumference of circle = perimeter of square.

$\rightarrow$ Area of circle.

<h3><u>Solution</u>:-</h3>

$\rightarrow$ To find the area of circle firstly we have to find the perimeter of the square, then we will find the radius of circle and after that area of circle. So, let's begin:

$\rightarrow$ Perimeter of square = $\sf{4×side}$ (putting the value of side from the above given)

$\rightarrow$ $\sf{=\: 4 × 5.5}$

$\rightarrow$ $\sf{=\: 22units.}$

Therefore, perimeter of square = 22units.

Now, according to the question, perimeter of square = circumference of the circle. So, circumference of circle = 22units.

Now, using the formula of circumference of circle we can find the radius.

$\rightarrow$ Circumference of circle = $\sf{2πr}$ (putting the value of perimeter)

$\rightarrow$ $\sf{22\:=\: 2×3.14×r}$

$\rightarrow$ $\sf{22\:=\: 6.28×r}$

$\rightarrow$ $\sf{\frac{22}{6.28}\:=\: r}$

$\rightarrow$ $\sf{3.50units\:=\: r}$

Therefore, radius of circle = 3.50units.

Now, let's find area of the circle:

$\rightarrow$ Area of circle = $\sf{πr^2}$

$\rightarrow$ $\sf{πr^2}$ (putting the value of pie(π) and radius(r))

$\rightarrow$ $\sf{3.14×3.50^2}$

$\rightarrow$ $\sf{3.14×12.25}$

$\rightarrow$ $\sf{38.46unit^2}$

Therefore, area of circle = $\sf{38.46unit^2}$

4 0

2 years ago

Read 2 more answers

For every 4 stickers it costs 2$ so if I get 50 stickers how much money would I have spent?

Sever21 [200]

Answer:

25$

Step-by-step explanation:

If 4 stickers cost 2$, then each sticker would cost .50$

50(.5)=25

You would have spent 25$

3 0

3 years ago

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An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0

4 years ago

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Henry has 96 marbles. He is packing containers with 8 marbles in each container. How many containers, c, does Henry need to pack

Sidana [21]

Answer:

96 = 8 times c

Step-by-step explanation:

96 divided by 8 = 12

12 times 8 = 96

BRAINLIEST PLEASE

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3 years ago

If the point (−4, 7) is on a circle centered

mr_godi [17]

Answer:

Step-by-step explanation:

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4 years ago