Answer:
Part a): 100 degrees
Part b): Isosceles Triangle
Step-by-step explanation:
Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.
180 - 80 = 100
Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.
<span>For the answer to this question,
Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area
A = depth x width
</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:
x = -b/(2a)
x = -18/(2x(-2))
x = 4.5 inches is the depth for max area
</span><span>Max area: 4.5 * 9 = 40.5 sq/in
I hope my answer helped you.</span>
Answer:
$117.33
Step-by-step explanation:
1 1/8 = 1 + 1/8 = 8/8 + 1/8 = 9/8
She paid 9/8 what she paid the last time.
Let the amount she paid last time equal x.
$132 is 9/8 of x.
9/8 x = 132
8/9 * 9/8 x = 132 * 8/9
x = 117.33
She paid $117.33
Yes it is correct ur answer is well solved and good Alice will finish the race
Answer:
y = x^2 + 6 given equation
y = m x + b equation of straight line required
dy/dx = 2 x tangent to given curve
dy/dx = slope = 2 * 5 = 10
Thus our line must be of the form
y = 10 x + b
31 = 10 * 5 + b at the point required
b = 31 - 50 = -19
Then our final equation becomes
y = 10 x - 19
