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Marrrta [24]
2 years ago
13

Find the 90th term of the arithmetic sequence, 8.9, 13.6, 18.3, 23, …

Mathematics
1 answer:
Ronch [10]2 years ago
4 0

Answer:427.2

Step-by-step explanation:

8.9 13.6 18.3

it goes up in 4.7

4.7n

8.9-4.7=4.2

4.7n+4.2

4.7(90)+4.2

423+4.2=427.2

Hopefully it is correct :)

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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
Which statements are true the ordered pair (1, 2) and the system of equations?
galina1969 [7]

Answer:

when (1.2) is substituted into the second equation the equation is true

Step-by-step explanation:

further you substitute x and the then solve

4 0
2 years ago
How does math anxiety affect working memory, and why do such changes in
Alika [10]
Anxiety can cause you to overthink what you already know which interns makes you think you don’t know it. Math is just formulas and arthritic and if anxiety has you doubting that you know how to solve a problem then you won’t remember how to solve it
6 0
2 years ago
A flower surrounds the base of a tree. It is in close by stones to form a circle that measures 21.98 feet around. What is the ra
Bumek [7]

(3.14)(21.98)(21.98)

-------------------------------

2

4 0
3 years ago
−2(3x−4)−x−3=<br> \,\,33<br> 33
notsponge [240]

Answer: =-7x+5

Step-by-step explanation:

-2\left(3x-4\right)-x-3

=-\left(2\left(3x-4\right)+x+3\right)

=-\left(6x-8+x+3\right)

=-\left(7x-5\right)

=-7x+5

5 0
2 years ago
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