Answer:
)
Step-by-step explanation:
From the diagram, 
.
The side of the triangle with length 11.9 is adjacent to the given angle.
We also know the hypotenuse to be 14.5 units.
We therefore use the cosine ratio to get;
We take the inverse cosine of both sides to get;
)
Answer:
f(-9) = 243
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x² + 7x - 18
f(-9) is x = -9
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(-9) = 4(-9)² + 7(-9) - 18
- Evaluate Exponents: f(-9) = 4(81) + 7(-9) - 18
- Multiply: f(-9) = 324 - 63 - 18
- Subtract: f(-9) = 261 - 18
- Subtract: f(-9) = 243
7, 9, 10, 12, 14, 16, 17
You can find that the range is ten by subtracting the largest number (17) by the smallest number (7) which leaves you with 10. You can find the mean by crossing off a number from each side, one at a time, until you land on the middle which is 12. I hope this helps, let me know if you have any questions!
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36
Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.
Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
Answer:
Mandy will take 67.5 mins to complete the 15 km race.
Step-by-step explanation:
Given:
Mandy runs 4 km in 18 min
She plans to run in a 15 km race.
We need to find how much time required to run 15 km.
4 km =18 min
15 km = time required for 15 km race
By Using Unitary method we get,
Time required for 15 km = 
Hence time required by Mandy to complete 15 km race is 67.5 mins.
