Answer:
70°
found by considering A-frame ladder as a triangle
Step-by-step explanation:
Given that,
angle form on either side of A-frame ladder with the ground = 125°(exterior)
As it is a A-frame ladder so its a triangle, we will find the angle at the top of ladder by using different properties of triangle
1) find interior angle form by A-frame ladder with the ground
125 + x = 180 sum of angles on a straight line
x = 180 - 125
x = 55°
2) find the angle on top of ladder
55 + 55 + y = 180 sum of angle of a triangle
110 + y = 180
y = 180 - 110
y = 70°
Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
13/15 - 1/3 Find a common denominator
1/3 x 5= 5/15
13/15 - 5/15 = 8/15
Answer:
b1 = 22 ft
the length of the base next to the goal is 22 ft
Step-by-step explanation:
From the given formula;
Area A = 1/2×(b1 + b2)h ........1
Given;
Area A = 275ft^2
base b2 = 28 ft
base b1 = ?
height h = 11 ft
From equation 1;
Making b1 rhe subject of formula;
A = 1/2×(b1 + b2)h
Multiply through by 2;
2A = (b1+b2)h
b1+b2 = 2A/h
b1 = 2A/h - b2 ...... 2
Substituting the given values into equation 2;
b1 = 2(275)/11 - 28
b1 = 50 - 28
b1 = 22 ft
the length of the base next to the goal is 22 ft
Answer:
-7 > -10
Step-by-step explanation:
We just have to compare these two numbers. When you're comparing two negative numbers, the smaller number is the bigger one. Ex. -3 is bigger than -6, so we can say that -3 > -6 (-3 is greater than -6). This means that -7 is larger than -10, which allows you to say that -7 > -10.
