Answer: The cost of 97.5 square feet of glass is $1828.13
( Incredible! Who has a window that size in their house?!?! )
Step-by-step explanation:
The Area (not perimeter) is 1/2 b*h
To find the height if this equilateral triangle we can use the Pythagorean Theorem c² = a² + b²
The side of the triangle is 15; that is the hypotenuse, c
The <u>b</u>ase of the right triangle we need is 7.5
The <u>a</u>ltitude (height) is what we need to calculate.
15² = a² + 7.5²
225 = a² + 56.25 Subtract 56.25 from both sides, then take the square root to find <u>a, that is h in the Area equation.</u>
√168.25 = 12.99 . Round to 13
Calculate the Area = 1/2 b*h
15*13/2 = 97.5 square feet.
Multiply by the cost per square foot: $18.75
97.5 * 18.75 = 1828.125 . Round to $1828.13
To write in slope intercept form solve the equation for y:
4x + 3y =15
Subtract 4x from both sides:
3y = -4x +15
Now get Y by itself by divide all terms by 3:
y = -4/3x + 5
Answer:
25 mpg
Step-by-step explanation:
We have a set of values 19, 21, 22, 28 and 18
The average (which is the mean of the set of values ) is :
19 + 21 + 22 + 28 + 18 = 21.6 mpg out of the government requirement
So we need a value such as the mean become at least 25 mpg
We have to solve the equation:
(19+21+22+28+ x)/ 5 = 25
(90 + x ) /5 = 25 ⇒ 90 + x = 125 ⇒ x = 35 mpg
If we get the mean of the set of values including 35 we have:
(19 +21+ 22+ 28 + 35 ) / 5 = 25 mpg government requirement
Answer:By definition, perpendicular line are two lines that intersect at right angles. In other words, the angle made by two lines should be 90°. Therefore, the use of distance formula does not help because it only tells you if the sides are equal. It does not tell you about the intercepted angle.
A technique that can help you to know if two straight lines are perpendicular is is you find their slopes. Let's say the slope of line 1 is m1 and the slope of line 2 is m2. If m1*m2 yields a product of -1, then the lines are perpendicular. This is because if m1 is the negative reciprocal of m2, the lines are perpendicular. But if m1=m2, the lines are parallel, meaning they don't intersect at all.
Therefore, the answer is: Find the slopes and show that their product is -1.
hope it help
Answer:
arc length is 9.74 units.