Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
Answer:
Step A. 3(m - 2) + 2(m - 2) and 5(m - 2) are equivalent expressions.
Step-by-step explanation:
Step B. If you calculate 3(m - 2) + 2(m - 2) you will see it will equal to 5(m - 2) therefore, they are equal.
Hope I Helped I'm New! :D
Answer:
x= 0.965
Step-by-step explanation:
the question if from trigonometry chapter
here with the formula I shared below
opposite/hypotenuse = sin( 16° )
opposite,x = sin( 16° )*3.5
0.965
You need to complete the square in x and in y,
First, group the x-terms and the y-terms separately.
Move the 10 to the right side by subtracting 10 from both sides.
Now complete the square in x and in y.
The constant you need to add to complete each square is the square of half of the coefficient of the x or y term. Make sure to add the constants to both sides of the equation.