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2 years ago

What is the 10th term in this geometric sequence?2,4, 8,16,.....

Mathematics

1 answer:

Alisiya [41]2 years ago

7 0

Answer:

1024

Step-by-step explanation:

you can plug 10 to the explicit formula. f(n)= a times r to the power of n minus 1. A is the first term, r is the common ratio and n is the nth term. 2 times 2 to the power of 10 minus 1. 2 times 2 to the power of 9 is 1024. Hope this helps!

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A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0

3 years ago

Recent research published by Frumin and colleagues (2011) in the journal Scienceaddresses whether females' tears have an effect

iogann1982 [59]

Answer: Option C. [0.95, 1.59].

Step-by-step explanation:

We know that the mean is:

M = 1.27

and the margin of error is:

e = 0.32

This means that the actual value can be at a maximum distance of 0.32 from the mean.

then the interval will be:

[M - e, M + e].= [1.27 - 0.32, 1.27 + 0.32].= [0.95, 1.59].

The correct option is C.

3 0

3 years ago

REEEEEEEEEEEEEEEEEEEEEEEEEEEE

Anastaziya [24]

Answer:

im not writing all that lol

Step-by-step explanation:

So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..

then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away

5 0

2 years ago

Find the volume and surface area of the prism below

Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0

2 years ago

Please help with this asap!! Would help a lot for me :)

lisov135 [29]

Answer:

answer 1 = true

answer 2 . Area of shaded part is 87m^2

<em><u>explanation in the pic above</u></em>

3 0

3 years ago

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What is the 10th term in this geometric sequence?2,4, 8,16,.....​

What is the 10th term in this geometric sequence?2,4, 8,16,.....