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3 years ago

If the two cars are now a straight-line distance of 17 kilometers apart, how far has the northbound car traveled?

Mathematics

1 answer:

Vladimir [108]3 years ago

6 0

Answer:

Step-by-step explanation:

The northbound car has traveled a distance of 6.2 miles.

Step-by-step explanation:

Step 1:

The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.

This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.

Assume the distance traveled by the northbound car is x miles.

Step 2:

So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.

You might be interested in

If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (

Goryan [66]

Answer:

<h2>Revenue will decrease</h2>

Step-by-step explanation:

Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30

Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.

When price increase from $50 to $60, the total revenue will decrease

let say the quantity Q1=30 , and the new quantity after price increase is Q2=20

1. The revenue PxQ before price change will be

PxQ= P1xQ1=50*30

PxQ= $1500

1. The revenue PxQ after price change will be

PxQ=P2xQ2= 60*20

P2xQ2= $1200

This clearly shows that based on the assumed data, the total revenue will drop from1500 to 1200, a total of $300 in a decrease

4 0

2 years ago

In the 2006 Winter Olympics, Sweden won 3 medals more than China. Germany

muminat

Germany secured 29 medals

Step-by-step explanation:

In the 2006 Winter Olympics

Sweden won 3 medals more than China
Germany secured one more than twice the number of medals bagged by Sweden
54 medals were won in all

We need to find how many medals did Germany secure

Assume that x represents the number of medals that Sweden won

∵ Sweden won x medals

∵ Sweden won 3 medals more than China

- That means chine won 3 medals less than x

∴ China won = x - 3 medals

∵ Germany secured one more than twice the number of

medals bagged by Sweden

- That means multiply x by 2 and add 1

∴ Germany secured = 2x + 1 medals

∵ 54 medals were won in all

- That means add the number of medals of the 3 countries

and equate the sum by 54

∵ x + (x - 3) + (2x + 1) = 54

- Add like terms in the left hand side

∴ (x + x + 2x) + (-3 + 1) = 54

∴ 4x - 2 = 54

- Add 2 to both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

∵ Germany secured 2x + 1

- Substitute the value of x by 14

∴ Germany secured ⇒ 2(14) + 1 = 28 + 1 = 29

Germany secured 29 medals

Learn more:

You can learn ore about the word problems in brainly.com/question/10557938

#LearnwithBrainly

7 0

3 years ago

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.06)^{0}.(0.94)^{3} = 0.8306$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8306 = 0.1694$

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

8 0

3 years ago

Why does a y-intercept not count as a zero?

Genrish500 [490]

Answer:

It only counts as a zero when the y-intercept is (0,0).

Step-by-step explanation:

The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.

7 0

3 years ago

A farmer has chickens and cows. You ask the farmer how many chickens he has, and how many cows he has. The farmer has 28 healthy

crimeas [40]

Set the number of chickens as x and number of cows as <span>y
</span>so the farmer has total 28 animals
so x+y=28
you know that since the animals are healthy
chickens will have 2 legs and
cows will have 4 legs
the total number of legs are 64
so 2x+4y=64
since you want to find the number of cows
so from the first equation <span>x+y=28
</span>we will get another equation <span>x=28-y
</span>then plug into <span>2x+4y=64
2(28-y)+4y=64
56-2y+4y=64
56+2y=64
-56 -56
2y=8
y=4
</span>

3 0

3 years ago