Remember, volume is length x width x height. (lxwxh)
5+3 inches is the apparent width. (8)
7+7 inches is the height. (14)
The length is seemingly difficult to solve, but it's easy when you get the hang of it.
You need to divide the toolbox into shapes you can find the volume for and then add it all together.
Let's take 14x5x(7+7). 980.
Now the other half. 16x3x(7+7). 672.
Add.
Volume is 1652 inches.
Answer:
1. 38, 80, 89 and 4. 14, 15, 29
I don't know if there is supposed to be only one, but both of those do not form right triangles.
Step-by-step explanation:
Evaluate all of them and see if they meet the requirements of the Pythagorean Theorem, a² + b² = c².
1. 38, 80, 89
a² + b² = c²
38² + 80² = 89²
1444 + 6400 = 7921
7844 ≠ 7921.
This is an answer because it doesn't satisfy the Pythagorean Theorem.
2. 16, 63, 65
a² + b² = c²
16² + 63² = 65²
256 + 3969 = 4225
4225 = 4225
This isn't the answer because it satisfies the Pythagorean Theorem.
3. 36, 77, 85
a² + b² = c²
36² + 77² = 85²
1296 + 5929 = 7225
7225 = 7225
This isn't the answer because it satisfies the Pythagorean Theorem.
4. 14, 15, 29
a² + b² = c²
14² + 15² = 29²
196 + 225 = 841
421 ≠ 841
This is an answer because it does not satisfy the Pythagorean Theorem.
Answer:
perfect negative correlation
Step-by-step explanation:
correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.
What will be the change : it suggest whether change in value of one variable other will be increase or decrease .
If there is increase in one variable and other also increases it suggest there is positive correlation .
If there is decrease in one variable and other also decrease it suggest there is positive correlation .
how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.
If the value of correlation coefficient is high it means that change in value for one variable is high in to response change in other variable .
It values ranges from -1 to +1 high
while sign depicts type of relation that is positive or negative .
value from - 1 to + 1 depicts strength of the relation .
with - 1 depicting perfect negative correlation
+1 depicting perfect positive correlation.
In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.
Answer:
-0.39 and 3.89
Step-by-step explanation:
By using the quadratic formula it will give you the answers of x= 7 + or - square root of 73 all over 4.
When you do the math of both of the equations it will give you the answers above
