We have this equation.
A²+B²=C²
We have bits of information that'll help us simplify the equation so there's only one variable.
The longer leg, A, is 3 inches more than the length of the shorter leg, B, tripled.
A=3B+3
Let's plug that in.
(3b+3)²+B²=C²
The hypotenuse, C, is 3 inches less than four times the length of the shorter leg. C=4B-3
Let's plug that in.
(3b+3)²+B²=(4B-3)²
Let's solve.
9B²+18B+9+B²=16B²-24B+9
10B²+18B+9=16b²-24b+9
Let's subtract 9 from both sides.
10b²+18b=16b²-24b
Let's subtract 10b² from both sides.
18b=6b²-24b
Let's add 24b from both sides.
42b=6b²
Let's divide each side by 6.
7b=b²
With this, you can tell that b is 7 since it times 7 equal itself squared.
The shorter leg is 7 inches.
Now, let's look back at the bits of information.
The longer leg of a right triangle is 3 inches more than the length of the shorter side tripled.
3(7)+3=24
So, the longer side is 24. We can either use the other information or plug it into the equation. We can do both.
The hypotenuse is 3 less than four times the shorter leg.
4(7)-3=25
7²+24²=
49+576=625
√625=25
So, the length of the hypotenuse is 25 inches.
13.25 represents the fee for renting a bicycle for 1 day;
13.25 × 5 + 6.5 = Total Cost
Since, helmet's fee does not depend upon days;
13.25 represents the fee for renting a bicycle for 1 day;
For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;
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The scale factor of the similar triangles is: 1/2. The value of x is: 4.5 cm.
<h3>Scale Factor of Similar Triangles</h3>
Scale factor of similar triangles is the ratio of their corresponding sides.
Given the two similar triangles in the diagram attached below, we have the following scale factor as:
Scale factor = 2/4 = 1/2
Therefore:
x = 1/2 × 9
x = 4.5 cm.
Therefore, the scale factor of the similar triangles is: 1/2. The value of x is: 4.5 cm.
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Answer:
Its D
Step-by-step explanation:
Becasue the first one says flip to 180 and that would go into the wrong quadrant.
cant be the second becasue it says to flip on the y axis and you cant do that, it would go into the wrong qaudrant.
it isnt the third one because it says to flip against x. BUT its says to move right... your suppose to be going to the left
So therefor its the last one
Jope that helps :)
Answer:
Step-by-step explanation:
Let many universities and colleges have conducted supplemental instruction(SI) programs. In that a student facilitator he meets the students group regularly who are enrolled in the course to promote discussion of course material and enhance subject mastery.
Here the students in a large statistics group are classified into two groups:
1). Control group: This group will not participate in SI and
2). Treatment group: This group will participate in SI.
a)Suppose they are samples from an existing population, Then it would be the population of students who are taking the course in question and who had supplemental instruction. And this would be same as the sample. Here we can guess that this is a conceptual population - The students who might take the class and get SI.
b)Some students might be more motivated, and they might spend the extra time in the SI sessions and do better. Here they have done better anyway because of their motivation. There is other possibility that some students have weak background and know it and take the exam, But still do not do as well as the others. Here we cannot separate out the effect of the SI from a lot of possibilities if you allow students to choose.
The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.
c)There wouldn't be any basis for comparison otherwise.