Answer:
122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)
Step-by-step explanation:
to get the other triangle side do 18-11= 7
then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2
49+b^2= 121
121-49= b^2
72=b^2
b= 8.48(simplified)
then use that side to get the area of the rectangle:
8.42×11=92.62
then get area of the triangle:
1/2(8.42×7)=29.47
add the 2 areas to get total area:
92.62+29.47=122.09
Volume = 1/3a^2h
v= 1/3 x 8.2^2 x 5.3
v=118.79066666667 in^3
1 - because the angles are equal
2- UTV
Answer:
Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:
All students took the same comprehensive test.
Step-by-step explanation:
In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable. If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.
Answer:
- Q1. No solution
- Q2. (5, 6)
- Q3. Infinitely many solutions
- Q4. No solution
- Q5. (2, 3)
Step-by-step explanation:
Q1.
- y = -1/3x - 1
- x + 3y = -12
<u>Solution</u>
- x + 3(-1/3x - 1) = -12
- x - x - 3 = -12
- -3 = -12
No solution
Q2
<u>Solution</u>
(5, 6)
Q3
<u>Solution</u>
- 6x + 2(-3x + 3) = 6
- 6x - 6x + 6 = 6
- 6 = 6
Infinitely many solutions
Q4
- - 5x + y = 1
- - 10x + 2y = -2 ⇒ -5x + y = -1
<u>Solution</u>
No solution
Q5
<u>Solution</u>
- 1/2x + 2 = x + 1
- 1/2x = 1
- x = 2
- y = 3
(2, 3)
