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Svetllana [295]
3 years ago
7

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.

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a senator wishes to estimate the proportion of united states voters who favor new road construction. what size sample should be
Nitella [24]

The  size of the sample should be obtained at 2401 in order to be 95% confident

Given that:

Margi of error, ME=0.02

Population proportion, p=0.50

To Find: The size of the sample that should be obtained in order to be 95% confident

Let the size of the sample be n

Using formula,

n=(p*(1-p))*(z(0.05/2)/ME)^{2} \\n=(0.5*(1-0.5))*(1.96/0.02)^{2} \\n=0.25*9604\\n=2401

Therefore, the size of the sample should be obtained at 2401 in order to be 95% confident

Learn more about Population proportion here brainly.com/question/15703406

#SPJ4

8 0
2 years ago
Tina's aquarium has a capacity of 40 gallons or water. She plans to stock her aquarium with 0.25 inches of fish per quart of cap
Sonbull [250]

Answer:

The number of mollies fishes in the aquarium is 20 .

Step-by-step explanation:

Given as :

The capacity of aquarium = 40 gallons

∵ 1 gallon = 4 quart

∴ 40 gallons = 4 × 40 = 160 quart

Now, According to question

0.25 inches of fish required 1 quart capacity

I.e for 1 quart capacity , 0.25 inches fish

So. for 160 quart capacity , 0.25 × 160 = 40 inches fishes

Now the size of mollies fish = 2 inches

Then ,  number of mollies fish = \dfrac{\textrm total size of fishes}{\textrm size of mollies fish}

I.e Number of mollies fish = \frac{40}{2} = 20

Hence The number of mollies fishes in the aquarium is 20 .   Answer

3 0
3 years ago
12. Elly's credit card record for the last 7 months is below. Based on the information from the table, what will be her new bala
blagie [28]

Answer:

52145.55

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ron needed to buy a new jacket for his upcoming ski trip. The ticket price of the jacket was $199.00. After the sales tax was ad
Levart [38]

Answer: 5%

Step-by-step explanation:

Given that:

Ticket price of jacket = $199

Final price after addition of sales tax = $208.95

Percentage sales tax on the jacket =?

Final price after addition of sales tax = price of jacket + amount of sales tax paid

208.95 = 199 + amount of sales tax paid

amount of sales tax paid = 208.95 - 199

amount of sales tax paid = $9.95

Let Percentage of sales tax = x

(x / 100) * 199 = 9.95

199x / 100 = 9.95

199x = 995

x = 5

Hence percent sales tax paid = 5%

8 0
3 years ago
Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Effectus [21]

Answer: The factorization of  28+56t+28w =28(1+2t+w)

The factors of 28+56t+28w are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : 28+56t+28w

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

28+2\times28t+28w

Now, taking 28 as common from all the terms, we will get

28(1+2t+w)

Thus, the factorization of  28+56t+28w =28(1+2t+w)

And the factors of  28+56t+28w are 28 and 1+2t+w.

6 0
3 years ago
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