Answer:
122.5
Step-by-step explanation:
Use the area formula for a trapezoid (attached below as an image):
A = area in sq cm
a = top base
b = bottom base
h = height
Correspond the correct values with the variables:
a = 14
b = 21
h = 7
A = 1/2 * (14 + 21) * 7
A = 1/2*(35)*7
A = 17.5 * 7
A = 122.5 sq cm
Hope this helps (●'◡'●)
Answer:

Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the gradient and c is the y-intercept.

Gradient




Substitute the value of the gradient into the equation:

To find the value of the y-intercept, substitute a pair of coordinates.
When x= -1, y= -8,




Thus the equation of the line is
.
Answer:
241 tons
Step-by-step explanation:
312-170=142
142÷2=71
170+71=241
241+71=312
train B weighs 241 tons
The area of a rectangle is obtained through the equation,
A = L x W
The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft
The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
P = 2 x (L + W)
Substituting the values of L and W
P = 2 x ( 12 ft + 8 ft) = 40 ft
Therefore, the perimeter of the yard is 40 ft.
The answer is 4.5.
The formula for a rectangle is A = lw. Substitute the formula, so it'll be 27 = (2x - 3) * x. Evaluate the formula.
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