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Ad libitum [116K]
1 year ago
15

Nick is undertaking an expedition across the desert from A to B. In order to complete his journey he starts at A, walks 7km West

and then 24km North until he arrives at B. How much shorter would Nick's journey have been if he had gone by the shortest route across the desert?

Mathematics
1 answer:
MaRussiya [10]1 year ago
7 0

Answer:

Shorting distance = 6 km

Step-by-step explanation:

Given:

Distance walk = 7 km west

Distance walk = 24 km north

Find:

Shorting distance

Computation:

Using Pythagorean theorem:

Magnitude AB = √AC² + BC²

Magnitude AB = √7² + 24²

Magnitude AB = √49 + 576

Magnitude AB = 25 Km

Total distance Nick walk = 7 km + 24 km

Total distance Nick walk = 31 km

Shorting distance = 31 km - 25 km

Shorting distance = 6 km

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Answer: |p-72% |≤ 4%

Step-by-step explanation:

Let p be the population proportion.

The absolute inequality about p using an absolute value inequality.:

|p-\hat{p}| \leq E , where E = margin of error, \hat{p} = sample proportion

Given:  A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .

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⇒  68%  ≤ p ≤  76%.

i.e. p is most likely to be between 68% and 76% (.

6 0
2 years ago
Which expression represents the lateral surface area of the cone?
Brrunno [24]

Answer:

Option "3" is the correct answer to the following question:

Step-by-step explanation:

Given:

Radius of cone (r) = 6 centimeter

height of cone (h) = 8 centimeter

slant height of cone (l) = 10 centimeter

Find:

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Computation:

⇒ Lateral surface area of the cone = \pirl

⇒ Lateral surface area of the cone = \pi(6 centimeters) (10 centimeters)

⇒ Therefore, option "3" is the correct answer.

3 0
2 years ago
Determine whether each of these sets is the power set of aset,wherea and b are distinct elements. a) ∅ c) {∅,{a},{∅,a}} b) {∅,{a
bija089 [108]

Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

The value of power of a set is generalized by using the formula,

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Given two distinct elements a and b say;

A = {a,b}

n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.

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{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

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2 years ago
Which expression is equivalent to StartFraction 3 x Over x + 1 EndFractiondivided by x + 1?
8_murik_8 [283]

Answer:

Step-by-step explanation:

All those words! Just use math.

\frac{3x/(x+1)}{x+1}  = \frac{3x}{(x+1)^2}

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2 years ago
What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
babymother [125]
We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.

t^2 + 3t + 2 = 0

t1 = -1
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x1 = √-1 = i
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x3 = √-2 = i√2
x4 = -i√2

Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
3 0
2 years ago
Read 2 more answers
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