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aev [14]
3 years ago
7

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)/2 h Solve for a.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

a=\frac{2A}{h}-b

Step-by-step explanation:

Hello, I think I can help you with this.

According to the information provided in the problem, the area of ​​a trapezoid is given by

A=\frac{a+b}{2} *h\\

Step 1

solve for a, it means isolate a

A=\frac{a+b}{2} *h\\divide\ both\ sides\ by\ h\\\\\frac{A}{h}= \frac{\frac{a+b}{2} *h}{h} \\\frac{A}{h}=\frac{a+b}{2}\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*\frac{A}{h}=2*\frac{a+b}{2}\\2*\frac{A}{h}=a+b\\\frac{2A}{h}=a+b\\\\subtract\ b\ for\ both\ sides\\\frac{2A}{h}-b=a+b-b\\a=\frac{2A}{h}-b

Have a good day.

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Yolanda receives a $1,000 dollar raise each year from her starting salary of $40,800.
RUDIKE [14]

Answer:50,400

Step-by-step explanation:

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3 years ago
Identify the graph of 3i (See figures).
iren2701 [21]
Any complex number can be written in fallowing form:
Z = x + yi

When drawing complex numbers as point on x,y coordinate system we can use variables x and y to represent our coordinates in x y coordinate system.

Our complex number is:
Z = 3i which means
x = 0 and y = 3
x is real part of complex number and we draw it on x axis (real number axis) and y is imaginery part and we draw it on y axis (imaginery axis)

answer is point with coordinates (0,3) Graph 1
6 0
3 years ago
Read 2 more answers
The function g(x) = 8(4x) is reflected across the x-axis to create f(x). What is the equation for f(x)? f(x) =_____ (4)x
dalvyx [7]

Answer:

f(x) = -8(4)x

Step-by-step explanation:

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).

y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)

Then f(x) = -8(4x)

Attached you will find the graph of g(x) (blue) and f(x) (red),

6 0
3 years ago
Read 2 more answers
Please help.<br> Algebra.
Akimi4 [234]

1. A

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.

--------------------------------------------------------------------------------------------------------------

2. C

That's right. If a system of equations has a solution, then their graphs intersect,  and the point where they intersect is the solution because it's the point that  satisfies each equation in the system.

Straight-line graphs with the same slope are parallel lines, and they never intersect,  which is another way of saying they have no solution.

8 0
3 years ago
Find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)
jeyben [28]

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³

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2 years ago
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