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3 years ago

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Mathematics

2 answers:

VladimirAG [237]3 years ago

6 0

x = 11 x cos(22)

x = 10.199

x = 10.2

olga2289 [7]3 years ago

6 0

What you should do in this case is to use the following trinonometric relationship:
cosx = C.A / h
Where
C.O: Adjacent leg.
h: hypotenuse.
Substituting:
cos (22) = (x) / (11)
Clearing x:
x = 11 * cos (22)
x = 10.2
Answer:
The value of x is
x = 10.2

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The table below shows the cost for different numbers of tickets.

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Answer:

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3 years ago

Suppose the value of a car depreciates 8% every year. To the nearest dollar, what will a car that cost $23,995 be worth after 5

Vanyuwa [196]

Answer:

The car will worth $15815 after 5 years.

Step-by-step explanation:

The formula is: $A=P(1+r)^t$ , where P = Initial cost, A = Final cost, r = Rate of change in cost per year and t = Number of years.

Here, $P= 23995, t= 5$

and $r= 8\%=0.08$

As here the value of the car depreciates every year, so we need to plug the value of $r$ as negative. So, $r=-0.08$

Now plugging the above values into the formula, we will get.....

$A=23995(1-0.08)^5\\ \\ A=23995(0.92)^5\\ \\ A=15814.6611... \approx 15815$

(Rounded to the nearest dollar)

So, the car will worth $15815 after 5 years.

8 0

3 years ago

If a < 0 and c > b, circle the expression that is greater:

matrenka [14]

Answer:

The expression that is greater is a (b - c)

Step-by-step explanation:

a < 0 and c > b, this means (by the addition property) that c - c > b - c⇒0 > b - c

so for the product a(b - c) we would have a multiplication of a negative number a and another negative number (b - c). We know that the result of the multiplication of two negative numbers is a positive number.

Therefore, a (b - c) > 0

a < 0 and c > b, this means by the addition property that c - b > b - b⇒ c - b > 0

so for a(c - b), we have the negative number a multiplied by the positive number (c - b). We know that the result of the multiplication of a negative number by a positive number is negative.

Therefore a (c - b) < 0

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3 years ago

Weights of cars passing over a bridge part 2

DaniilM [7]

Step-by-step explanation:

The solution to this problem is very much similar to your previous ones, already answered by Sqdancefan.

Given:

mean, mu = 3550 lbs (hope I read the first five correctly, and it's not a six)

standard deviation, sigma = 870 lbs

weights are normally distributed, and assume large samples.

Probability to be estimated between W1=2800 and W2=4500 lbs.

Solution:

We calculate Z-scores for each of the limits in order to estimate probabilities from tables.

For W1 (lower limit),

Z1=(W1-mu)/sigma = (2800 - 3550)/870 = -.862069

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For W2 (upper limit):

Z2=(W2-mu)/sigma = (4500-3550)/879 = 1.091954

From tables, P(Z<Z2) = 0.862573

Therefore probability that weight is between W1 and W2 is

P( W1 < W < W2 )

= P(Z1 < Z < Z2)

= P(Z<Z2) - P(Z<Z1)

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3 years ago

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Answer:

10 minutes

Step-by-step explanation:

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Another way is to find how many per minute which would again be 4.5. 45 divided by 4.5 is 10. So once again, 10 minutes.

5 0

3 years ago

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