Count the distance d, which gives you 7.
Use Pythogarean theorem to find c:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%20%3D%20%20%20%7Bc%7D%5E%7B2%7D%20)
Plug in the numbers:
![{4}^{2} + {3}^{2} = {c}^{2} \\ \\ = 16 + 9 \\ \\ = 25 \\ \\ c = \sqrt{25} = 5](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20%20%20%5C%5C%20%20%5C%5C%20%3D%2016%20%2B%209%20%20%5C%5C%20%20%5C%5C%20%3D%2025%20%5C%5C%20%20%5C%5C%20c%20%3D%20%20%5Csqrt%7B25%7D%20%20%3D%205)
c is 5.
Same thing with g:
![{e}^{2} + {f}^{2} = {g}^{2} \\ \\ {g}^{2} = {4}^{2} + {4}^{2} \\ \\ = 16 + 16 \\ \\ = 32 \\ \\ g = \sqrt{32} = 4 \sqrt{2} = 5.66](https://tex.z-dn.net/?f=%20%7Be%7D%5E%7B2%7D%20%20%2B%20%20%7Bf%7D%5E%7B2%7D%20%20%3D%20%20%7Bg%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%20%7Bg%7D%5E%7B2%7D%20%3D%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7B4%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%2016%20%2B%2016%20%5C%5C%20%20%5C%5C%20%20%3D%2032%20%5C%5C%20%20%5C%5C%20g%20%3D%20%20%5Csqrt%7B32%7D%20%3D%204%20%5Csqrt%7B2%7D%20%20%3D%205.66)
g equals 5.66.
Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
Answer:
a.] d) employed individuals aged 25-29
b.] a) Have your earned a bachelor's degree (or higher)?
C.] Categorical
Step-by-step explanation:
According to the scenario described, the population being studied are those aged between 25 - 29 years and who are employed. The study was to determine the level of education of the respondents who happens to fall into the category of being employed and within the 25 - 29 Years age bracket.
The most appropriate question to ask in other to establish if respondent has at least a bachelor's degree is to explicitly ask if the respondent has a bachelor's degree or higher.
C) Categorical : The response to the question will best directly take a 'yes' 'no' format which is a categorical label which could then be transformed into dummy variables for further analysis
Answer:
The solution h < 5.5 means that Melanie can rent the bike for no more than 5.5 hours.
<u>Hope this helps :)</u>
<u>Explanation and Check part below.</u>
Step-by-step explanation:
1. Isolate the variable by doing the inverse operation which is in this case subtracting 6 on bothsides of the equation.
8h + 6 < 50
- 6 - 6
8h < 44
2. Dive both sides of the equation by 8.
8h < 44
--- ----- <--------- fraction bar, divide
8 8
h < 5.5