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4 years ago

Given the diagram determine the height of the tree. round answer to the nearest tenth of a foot

Mathematics

1 answer:

Mice21 [21]4 years ago

4 0

the answer should be 70
base times height divided by 2
equals the answer for triangles

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Solve the equation for all values of x in simplest form:<br> (x - 1)2 = 15

Natasha2012 [34]

Answer: The answer is x = 6.5 or 15/2.

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3 years ago

Find The derivative of:(cosx/1+sinx)^3

forsale [732]

Answer:

$-\frac{3 \cdot cos^2x}{(1+sinx)^3}$

Step-by-step explanation:

$y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})$ $[ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ]$

$= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\$ $[\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ]$

$= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\$

$= -3 \cdot \frac{cos^2x}{(1+sinx)^3}$

5 0

3 years ago

True or false: the set of whole numbers is equal to the set of natural numbers

kirill115 [55]

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

6 0

3 years ago

Read 2 more answers

HELP ME PLEASE I RELOADED IT AND IT GAVE ME ANOTHER QUESTION IM GONNA CRY

Murljashka [212]

It would be 4x^2+11x-3
Or the far bottom right corner

7 0

3 years ago

Read 2 more answers

Daniel, my son, is exactly one fifth of my age. in 21 years time, i will be exactly twice his age. my wife is exactly seven time

nydimaria [60]

Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y

x = 5d (given in question)
∴ x - 5d = 0

x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21

We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:

3d = 21
∴ d = 7

This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.

y = 7j (given in question)
∴ y - 7j = 0

y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16

If we use a similar method of elimination we get this:

4j = 16
∴ j = 4

Hence, from this we can concur that daniel is 7 and jessica is 4.

3 0

4 years ago

Given the diagram determine the height of the tree. round answer to the nearest tenth of a foot​

Given the diagram determine the height of the tree. round answer to the nearest tenth of a foot