Answer:
72 square units
Step-by-step explanation:
The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:
A = LW
A = (12)(6) = 72 . . . . square units
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<em>Additional comment</em>
Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.
Answer:
4+17 is the answer for this problem
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.
Answer:
3/6 or 1/2
Step-by-step explanation:
3 copies of 1/6
of = ×
3 × 1/6
3/6
to the least
1/2
Answer:
Part A
This equation is given as
180° = ∠A + ∠B
180° = (2x+5)° + (4x+25)°
Part B
The value of x = 25°
Step-by-step explanation:
We are told in the question that:
Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘.
Question 1 Part A Write an equation that can be used to determine the value of x.
Two angles are called supplementary when their measures add up to 180 degrees.
This equation is given as
180° = ∠A + ∠B
180° = (2x+5)° + (4x+25)°
Part B
Solving the equation
180° = (2x+5)° + (4x+25)°
180° = 2x + 5 + 4x + 25
180° = 6x + 30
Collect like terms
180° - 30° = 6x
150° = 6x
x = 150/6
x = 25°
Enter the correct answer in the box.
