Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water ×
I.e The quantity of water drain after x min = 50 gallon ×
or, The quantity of water drain after x min = 50 gallon ×
Hence the quantity of water drain after x min is 50 Answer
Answer:
x = 32 yd
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 24
Hypotenuse <em>c</em> = 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: x² + 24² = 40²
- [Subtraction Property of Equality] Isolate <em>x</em> term: x² = 40² - 24²
- Evaluate exponents: x² = 1600 - 576
- Subtract: x² = 1024
- [Equality Property] Isolate <em>x</em>: x = 32
To find the surface area of ANY prism you need to find the area of individual shape first.
To find 2 faces of the prism, you will need to do bxh. As there is 2 of the same rectangle , you need to multiply it by 2. Therefore, the first number you need is 16m squared.
To find the next part of the prism, you will need to do 2m x 3m which is 6m. You need the area so 6m squared (The units are important). There are also 2 of these, so multiply it by 2 to get 12m squared.
For the final part of the prism, you will need to do 4m x 3m which is 12m squared. There are 2 of these so the it is 24m squared.
Finally, you will need to add all these figures up.
<u>16m squared + 12m squared + 24m squared = 52m squared</u>
Answer:
Part A)
Part B)
Step-by-step explanation:
we have the equation of the line L in standard form
isolate the variable y
The slope of the line L is equal to
Part A) Write the equation, in slope intercept form, of the line passing through the point (2, 7) and parallel to line L
Remember that
If two line are parallel, then their slopes are equal
The equation of the line in slope intercept form is equal to
we have
substitute the values and solve for b
The equation of the line is
Part B) Write the equation, in slope intercept form, of the line passing through the point (2, 7) and perpendicular to line L
Remember that
If two line are perpendicular, then the product of their slopes is equal to -1
The equation of the line in slope intercept form is equal to
we have
Find the value of m2
substitute the values and solve for b
The equation of the line is