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vladimir2022 [97]
2 years ago
5

8. Find the cube root of 27a^3+54a^2b+36ab^2+8b^3​

Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
4 0

__________________________________________________________

Answer:

(3a + 2b)3

___________________________________________________________

Tems11 [23]2 years ago
3 0

Answer:

3a + 2b

is cube root of 27a^3+54a^2b+36ab^2+8b^3

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Marys family had to pay 3$ for the car plus 2$ for each number of people in the car.
Gala2k [10]

Answer:

y=2x+3

Step-by-step explanation:

Y is the total amount that the family pays. 2x represents 2 dollars for every person (so, 2 multiplied by the number of people). Finally, 3 represents the initial amount that they must pay, no matter how many are in the car.

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2 years ago
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In MON, J, K, and L are midpoints. If JL = 11, LK = 13, and ON = 20, and JL || MN, LK || MO, and JK || ON, what is the length of
In-s [12.5K]

Answer:

The lengths of MN is 22 units, MO is 26 units and JK is 10 units

Step-by-step explanation:

<em>A l</em><em>ine segment</em><em> joining the </em><em>mid-points of two sides</em><em> in a triangle is </em><em>parallel to the third side</em><em> and </em><em>equal to half its length</em>

In Δ MON

∵ J, K, and L are mid-points

∵ JL // MN and LK // MO

∴ L is the mid-point of ON

∴ J is the mid-point of MO

∴ K is the mid-point of MN

∵ J, L are the mid-points of MO and ON

∵ JL is opposite to MN

→ By using the rule above

∴ JL = \frac{1}{2} MN

∵ JL = 11 units

∴ 11 = \frac{1}{2} MN

→ Multiply both sides by 2

∴ 22 = MN

∴ MN = 22 units

∵ K, L are the mid-points of MN and ON

∵ KL is opposite to MO

→ By using the rule above

∴ KL = \frac{1}{2} MO

∵ KL = 13 units

∴ 13 = \frac{1}{2} MO

→ Multiply both sides by 2

∴ 26 = MO

∴ MO = 26 units

∵ J, K are the mid-points of MO and MN

∵ JK is opposite to ON

→ By using the rule above

∴ JK = \frac{1}{2} ON

∵ ON =20 units

∴ JK = \frac{1}{2} (20)

∴ JK = 10 units

∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units

3 0
3 years ago
Which pair of undefined terms is used to define a ray?
Zigmanuir [339]

Answer:

A point and a line.

Further explanation:

Ray is part of the line with one endpoint. Ray is an endless straight path in one direction from a starting point, e.g., .

The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.

Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size).  It is labeled with a capital letter and a dot.

A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.

A plane is a flat surface that contains many points and lines.  A plane extends infinitely in all four directions.  It is two-dimensional.  Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

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3 years ago
Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of p
Lana71 [14]

Answer:

the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:

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3 years ago
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What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?
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Answer:

39,865.1m^3

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

V=\frac{4\pi r^3}{3}

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

r=26.7m

substituting this into the formula for volume:

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this is the volume of the total sphere, thus the volume of a hemisphere is:

\frac{V}{2}=\frac{79,730.12m^3}{2}\\  =39,865.06m^3

rounding to the nearest tenth:

39,865.1m^3

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