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Amanda [17]
3 years ago
9

What is the greatest common factor of 4p^4q^5 and 8p^3q^2​

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Answer:

4p^3q^2.

Step-by-step explanation:

The GCF of 4 and 8 is 8.

That of p^4 and p^3  is p^3,

and that of q^5 and q^2 is q^2.

So it is 4p^3q^2.

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A certain type of cereal costs $3.79 for 19.5 ounces. What is the unit rate?
Radda [10]

Step-by-step explanation:

$3.79 ÷ 19.5 = .194

answer = $.19 per oz

6 0
3 years ago
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How many different pairs of regular polygons can be made with 16 toothpicks? WILL MARK BRAINLIEST 35 POINTS!
telo118 [61]

Answer:

6

Step-by-step explanation:

We can make:

A 3 sided shape and a 13 sided shape (3 + 13 = 16)

A 4 sided shape and a 12 sided shape (4 + 12 = 16)

A 5 sided shape and an 11 sided shape

A 6 sided shape and a 10 sided shape

A 7 sided shape and a 9 sided shape

2 8 sided shapes

Therefore the answer is 6.

8 0
3 years ago
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Two cubes each of volume 27^3cm are joined end to end to form a solid. Find the surface area. of resulting solid.​
vichka [17]

Given :-

  • Two cubes each of volume 27cm³ are joined to make a cuboid .

To Find :-

  • The surface area of the resulting solid .

Solution :-

Given that the volume of cube is 27cm³ . We know that the volume of cube is given by (side)³ .

So , if we assume each side to be a , then ,

\longrightarrow a³ = 27cm³

\longrightarrow a = ³√{27cm³}

\longrightarrow a = ³√3³cm³

\longrightarrow a = 3 cm .

  • Hence , if we join two cubes we will get a cuboid of length 3cm + 3cm = 6cm . (l)
  • The breadth would be 3cm .( b)
  • The height would be 3cm .(h)

See attachment for figure .

And as we know that TSA of cuboid is ,

\longrightarrowTSA = 2( lb + bh + hl )

\longrightarrow TSA = 2 ( 6*3 + 3*3 + 3*6) cm²

\longrightarrowTSA = 2 ( 18 +9 +18 )cm²

\longrightarrow TSA = 2 * 45cm²

\longrightarrow TSA = 90 cm²

<u>Hence</u><u> the</u><u> </u><u>new </u><u>surface</u><u> area</u><u> of</u><u> the</u><u> </u><u>solid</u><u> </u><u>is </u><u>9</u><u>0</u><u>c</u><u>m</u><u>²</u><u> </u><u>.</u>

<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>

8 0
3 years ago
If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 13 m, find the length of the lo
Delvig [45]

Answer:

2 cm (Answer B)

Step-by-step explanation:

This is a right triangle, and therefore the Pythagorean Theorem applies:

(shorter leg)² + (longer leg)² = (hypotenuse)²

In this case, (longer leg)² = (hypotenuse)² - (shorter leg)², or

(longer leg)² = (13 cm)² - (5 cm)², or:

(longer leg)² = 169 cm² - (25 cm²) = 144 cm²

The length of the longer leg is the square root of 144 cm², or 12 cm (Answer B)

3 0
3 years ago
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A balloon rises at a rate of 10 feet per second. What is the linear equation for the relationship that gives the height y in fee
makkiz [27]

Answer:   y = 10x

This line goes through the two points (0,0) and (1,10)

(0,0) means x = 0 and y = 0 pair up. At time x = 0 seconds, aka the starting time, the height is y = 0 (the balloon is on the ground).

(1,10) means x = 1 and y = 10 pair up. At time x = 1 second, the balloon is y = 10 feet off the ground.

5 0
4 years ago
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