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3 years ago

Factor. 10 x ^5 −16 x^ 4 +4 x^ 2 Enter your answer in the box.

Mathematics

2 answers:

schepotkina [342]3 years ago

8 0

Answer:

2x²( 5x³ - 8x² + 2)

Step-by-step explanation:

$10x^{5}$ - $16x^{4}$ + 4x²

Two can go in all three of these numbers.

2x²(5x³- 8x² +2)

You take the lowest power.

pshichka [43]3 years ago

3 0

10x^5 - 16x^4 + 4x^2

Factor out what they have in common: 2 and x^2

2x^2(5x^3 - 8x^2+2)

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

5. Ms. Sellers flew out to Utah to take her sons to college. If she flew 245.6

lara31 [8.8K]

Answer:

Step-by-step explanation:

distance flown in 5.4 hours = 245.6 miles

distance flown in 1 hour = 245.6/5.4

= 45.481 miles

Hope this helps

plz mark as brainliest!!!!!

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3 years ago

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3 years ago

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zhenek [66]

Answer:

-3

Step-by-step explanation:

30/(-2)-(-3)(4)

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2 years ago

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Readme [11.4K]

Answer:

231/8 simplified is 28 7/8

Step-by-step explanation:

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2 years ago