In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?
Answers
Answer:
a^2+b^2=c^2
a^2+9=25(5*5)
therefore ,a^2=25-9=16
√16=4
sides are 4 cm,3 cm,5 cm
Step-by-step explanation:
Step-by-step explanation:
Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.
AC²=AB²+BC²
Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.
Given:-
AC=5,AB=3,BC=?
Use Pythagoras theorem formula
AC²=AB²+BC²
5²=3²+BC²
25=9+BC²
25-9=BC²
16=BC²
√16=BC
BC=4.
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Can anyone help me find the simplest form for 15/23 / 6/7
25
85
150
128
Question 4 (Multiple Choice Worth 5 points)
(08.01)Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?
No, this is not a valid inference because he asked only 20 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 20 families speak for the whole neighborhood
Answers
A)The number of students in the seventh grade who would be expected to prefer math to science are: 128
B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
What is sample?
A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.
A) Given that, the total number of students in seventh grade are: 150 students.
Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.
This means that out of the sample the number of students who prefer math to science is:
= 85 / 100 x 25
= 21.25
Now, out of the total seventh graders the number of students who prefer math to science is:
21.25 x 150 / 25 = 127.5 ≈ 128
B) From the question, we understand that:
Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.
The above selection is a random sampling technique
Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
Learn more about samples, click;
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Option 1 : 25
Option 2 : 85
Option 3 :150
Option 4 :128
Solutions - Convert the percent into decimal and multiply.
85% of 150 = 0.85 * 150
= 127.5 which is rounded to 128
Part 2 : Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?
No, this is not a valid inference because he asked only 20 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 20 families speak for the whole neighborhood
Solutions : Plans to attend doesn't mean they would come. It is a 50/50 chance. 2/8 * 100% is 25%.
Answer = (C) = Yes, this is a valid inference because he took a random sample of the neighborhood
Answers
m = slope
b = intercept for y
with that just substitute in the slope and the intercept, but leave the x and y as it is. So later on you can put in a x coordinate and get the y coordinate through that, hope this helps!
Answer:
Graph
Write in Standard Form
Write in y=mx+b Form
Solve the Function Operation
Write in Slope-Intercept Form
Find the Exact Value
Evaluate the Function
Find the Equation Using Slope-Intercept Form
Simplify
Find the Probability P()
Multiply the Expressions
Use a Table of Values to Graph the Equation
Step-by-step explanation:
Answers
Answer:
D. 12m^3n^5
Step-by-step explanation:
Answer:
12m³n⁵
Step-by-step explanation:
3 · 4 = 12
m² · m = m³
n³ · n² = n⁵
Therefore, 3m²n³ · 4mn² = 12m³m⁵
Answers
Step-by-step explanation:
1. Octagon- 8 sides
2. Quadrilateral- 4 sides
3. Decagon- 10 sides
4. Nonagon- 9 sides
5. Octagon- 8 sides
6. Nonagon- 9 sides
Hope this helps
Answers
The true statement about the juan and lisa is Juan made a higher rate of pay than Lisa.
Juan made a lower rate of pay because he made less money.
This statement is false. Juan and Lisa made a similar rate of pay per hour ($14.80 and $14.00 respectively).
Lisa made a better rate of pay because she made more money.
This statement is false. The total earnings do not determine the rate of pay; the hourly rate does.
Lisa said she made a better rate of pay because her rate was $14 an hour.
This statement is false. Lisa's actual rate was $14.00 per hour, not $14.00 as stated.
Juan said he made a better rate of pay because he was paid $14.80 an hour.
This statement is true. Juan's hourly rate was $14.80, which is higher than Lisa's rate of $14.00 per hour.
To calculate the rate of pay, we divide the money earned by the hours worked.
Juan's rate of pay is $37.00 / 2.5 hours = $14.80 per hour.
Lisa's rate of pay is $42.00 / 3 hours = $14.00 per hour.
Therefore, Juan made a higher rate of pay than Lisa.
Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.
For such more question on rate
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The following question may be like this:
Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
Juan made a lower rate of pay because he made less money.
Lisa made a better rate of pay because she made more money.
Lisa said she made a better rate of pay because her rate was $14 an hour.
Juan said he made a better rate of pay because he was paid $14.80 an hour.
Answer:
2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?
Lisa said she made a better rate of pay because her rate was $14 an hour.
Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.
Juan made a lower rate of pay because he made less money.
Lisa made a better rate of pay because she made more money.
3.5b + (-8) = (-6.25b) - 6.5
Solve for x:
-5x + 3 > (-7x) - 12
Answers
Answer:
1)b=0.153846
2)x > -15/2
Step-by-step explanation:
I used this site called math-
way