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Leto [7]
3 years ago
12

Which sentence illustrates the commutative property of addition?

Mathematics
1 answer:
Inga [223]3 years ago
4 0
The answer is: x+y+z= y+x+z. When using commutative property, the sum cannot be changed. Let's plug in our own numbers.

7+8+9=24 so 8+7+9 also equals 24. commutative property is just switching the order that the numbers appear in but in the end, still equals the same thing 
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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
2 years ago
Matt gets paid an hourly rate of $12.50 for the first 40 hours he works in a week. After 40 hours , Matt gets paid at an overtim
lukranit [14]

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours  

(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100


Hope this helps! (If not correct me if its wrong xd)

5 0
3 years ago
United Blood Services is a blood bank that serves more than 500 hospitals in 18 states. According to their website, a person wit
Anna11 [10]

Answer:

a) 0.06 = 6% probability that a person has both type O blood and the Rh- factor.

b) 0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.

Step-by-step explanation:

I am going to solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Person has type A blood.

Event B: Person has Rh- factor.

43% of people have type O blood

This means that P(A) = 0.43

15% of people have Rh- factor

This means that P(B) = 0.15

52% of people have type O or Rh- factor.

This means that P(A \cup B) = 0.52

a. Find the probability that a person has both type O blood and the Rh- factor.

This is

P(A \cap B) = P(A) + P(B) - P(A \cup B)

With what we have

P(A \cap B) = 0.43 + 0.15 - 0.52 = 0.06

0.06 = 6% probability that a person has both type O blood and the Rh- factor.

b. Find the probability that a person does NOT have both type O blood and the Rh- factor.

1 - 0.06 = 0.94

0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.

6 0
2 years ago
What is bigger 4 out of 5 or 0.325
Dahasolnce [82]
4/5 is bigger: 4/5 = 0.8
3 0
2 years ago
Read 2 more answers
Solve the system of equation by graphing <br><br> Y=4x-3
earnstyle [38]
Start using desmos it will help u learn

4 0
3 years ago
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