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Vedmedyk [2.9K]
3 years ago
9

Please help me with 8, 9, and 10 thanks! Show work too

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

8. hypotenuse / (short side) = 25/x = x/9
  x² = 25*9 = 5²×3²
  x = √(5²×3²) = 5*3 = 15

9. (long side) / (short side) = x/7 = 9/x
  x² = 7*9
  x = √(9*7) = 3√7

10. (short side) / (long side) = x/48 = 48/64
  x = 48²/64 = 36
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on
inysia [295]

Answer: F=15N


Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

F=ka

Where F is the force acting on the object, a is the object's acceleration and k is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting F=18 and a=6 into the equation and solving for k:

18=k6\\k=\frac{18}{6}\\k=3

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

F=3(5)\\F=15

3. The result is:

F=15N

7 0
3 years ago
Using the definitions of odd and even functions, explain why y= sin x+1 is neither odd nor even.
Artyom0805 [142]

Answer:

Step-by-step explanation:

The graph is symmetric with respect to the origin therefore it is on odd function. The graph is symmetric to the y- axis therefore it is an even function. The majority of functions are neither odd nor even, however, sine and tangent are odd functions and cosine is an even function.

7 0
4 years ago
If the p-value is smaller than the level of significance, what conclusion should we reach?
marshall27 [118]

If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

In this question,

A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).

A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.

Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

Learn more about p-value here

brainly.com/question/15855760

#SPJ4

7 0
2 years ago
A ____ compares two numbers by division?
barxatty [35]
Usually a ratio will compare two numbers by division

4 0
3 years ago
What is the value of y in the equation 2 + y = −3?<br> -1<br> -5<br> 1<br> 5
Thepotemich [5.8K]
To do this subtract 2 from each side of the equation to get y = -5, so the value of y in this is -5. Hope this helps!
7 0
4 years ago
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