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S_A_V [24]
3 years ago
8

The diagram below, ΔPQR ≅ ΔSTR. Complete the statement PR≅ ___

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

RS

Step-by-step explanation:

If we flip triangle PQR, we can see that RS is congruent to PR

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Click the expression that is the additive inverse of 5/16.
Alexeev081 [22]
A)-5/16 is the answer
8 0
2 years ago
Read 2 more answers
1. Contaminated water is subjected to a cleaning process. The concentration of the
Leokris [45]

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

6 0
3 years ago
Find the m∠p.<br> pls and thanks &lt;3
Keith_Richards [23]

Answer:

36°

Step-by-step explanation:

Like your other question, the angles of the triangle must add up to 180. The tangent line is perpendicular to the center, so the angle must be 90°.

90° + 54° + 36° = 180°

8 0
3 years ago
The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
grandymaker [24]

The ratio 9:7 gives you following statement:

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Then the probability that Carl will lose is

Pr(\text{Carl will lose})=\dfrac{7}{16}.

Answer: Pr(\text{Carl will lose})=\dfrac{7}{16}.


7 0
3 years ago
Eight less than 7.2 times a number is -29.6 wrote out in numbers
enot [183]
7.2x - 8 = -29.6  that is your answer wrote out in numbers.
5 0
3 years ago
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