Determine the value of x and y

Match the Polynomials with their names. ___ 2x 3 + 4x ___ 3x 5 + 3x 4 + x 3 ___ x 2 + 3 ___ 2x 2 + x − 5 A. Quintic trinomial B.

leonid [27]

We have that

case 1) 2x3 + 4x -----------> C. cubic binomial
The degree of the polynomial is 3----> the greater exponent is elevated to 3
the number of terms is 2

case 2) 3x 5 + 3x 4 + x 3--------> A. Quintic trinomial
The degree of the polynomial is 5----> the greater exponent is elevated to 5
the number of terms is 3

case 3) x 2 + 3----------> B. quadratic binomial
The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 2

case 4) 2x 2 + x − 5 A------------> D. quadratic trinomial
The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 3

6 0

3 years ago

A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its

bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 = 1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ = V - V₁

V₂ = 1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0

3 years ago

A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o

kolezko [41]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse

in this problem
opposite side angle 70°=AB
hypotenuse=AC----> 32 ft
sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft

4 0

3 years ago

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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

Anarel [89]

Answer:

C

Step-by-step explanation:

Line of symmetry

4 0

3 years ago

Convert the rate 1000 fluid ounces per 2 hours to cups per minute

Ronch [10]

There are 8 ounces in a cup, so there are 125 cups in 1000 ounces.
1000 / 8 = 125
there are 60 minutes in an hour and 120 minutes in 2 hours
so 1000 ounces / 2 hours is
125 cups / 120 minutes
125 / 120 = 1.04 cups per minute

Check your work
multiply times 60 to get cups per hour
1.04 * 60 = 62.4 cups per hour
multiply times 8 to get ounces per hour
62.4 * 8 = 499.2
multiply times 2 to get ounces per 2 hours
499.2 * 2 = 998.4
the number is not quite 1000 due to rounding the 125 / 120 as it is closer to 1.041666666666667

7 0

3 years ago

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