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Annette [7]
3 years ago
14

The two triangles are similar. What is the value of x?

Mathematics
2 answers:
UNO [17]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

set up a proportion based on corresponding sides:

4x+ 2/3x = 28/20

cross-multiply:

28/20 can be simplified to be 7/5

5(4x + 2) = 7(3x)

20x + 10 = 21x

10 = x

Furkat [3]3 years ago
5 0
X=10 that’s it the answer
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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
Answer number 8 please I’m begging u
Andrews [41]

Answer:

Probability - spinner 1

1/5 - not likely

Probability - spinner 2

1/8 - not likely

Step-by-step explanation:

8 0
3 years ago
The difference between three times a number and seven is twenty. What is the number?
Mama L [17]

Answer:

9

Step-by-step explanation:

(9*3) = 27 which is 20 more than 7

6 0
3 years ago
Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided
scoray [572]
Let me express the equation clearly:

lim x→-9  (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation. 

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0
3 years ago
What is 147,591 rounded to the nearest ten
Basile [38]

Answer:

147,590

Step-by-step explanation:

b/c the 90's are in the tens and 5 or more add one more, so since it's less than five, you round down. So the answer would be 147,590

4 0
3 years ago
Read 2 more answers
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