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faust18 [17]
3 years ago
10

Explain one way to find the height of a trapezoid if you know the area of the trapezoid and the length of both bases.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0
1) Add the length of both bases:  [ Total Length = Length 1 + Length 2 ]

2) Divide the length that you found by 2. [ Average Length = Total Length ÷ 2 ]

3) Divide the Area with the length found  [ Height = Area ÷ average length ]
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Write the equation of the line given points (-4,6) and (-8,10)
Advocard [28]

Answer:

the equation of the line in slope-intercept form is: y=-x+2

Step-by-step explanation:

First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points (x_1,y_1) and (x_2,y_2) on the plane:

Slope=\frac{y_2-y_1}{x_2-x_1}

Then for our case, calling (-4, 6) = (x_1,y_1) and (-8, 10) = (x_2,y_2), we have:

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{10-6}{-8-(-4)}\\Slope=\frac{4}{-8+4}\\Slope=\frac{4}{-4}\\Slope= -1

Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point (x_0,y_0) that tells us:

y-y_0=m(x-x_0)

We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:

y-y_0=m(x-x_0)\\y-6=-1(x-(-4))\\y-6=-1(x+4)\\y-6=-x-4\\y=-x-4+6\\y=-x+2

6 0
3 years ago
an object moves at a speed of 3/16 feet per second. what is the speed, in yards per second? (3 feet= 1 yard)
Solnce55 [7]
3 feet / 16 second * 1 yd / 3 feet
3/16 * 1/3
3*1 / 16*3
3/48
1/16 yd/sec
4 0
2 years ago
Paulina swims 5 miles down a creek with a current for 2 hours. It takes her 4
Westkost [7]

Answer: her swimming speed = 1.875 mph

Speed of current = 0.625 mph

Step-by-step explanation:

Let x represent her swimming speed.

Let y represent the speed of the current.

Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph

Distance = speed × time

Therefore,

5 = 2(x + y)

dividing both sides by 2, it becomes

2.5 = x + y- - - - - - -1

It takes her 4 hours to swim the same 5 miles back to her original destination against the

same current. It means that her total speed was (x - y) mph

Distance covered would be

5 = 4(x - y)

Dividing both sides by 4, it becomes

1.25 = x - y- - - - - - - 2

Adding equation 1 to equation 2, it becomes

3.75 = 2x

x = 3.75/2

x = 1.875

Substituting x = 1.875 into equation 1, it becomes

2.5 = 1.875 + y

y = 2.5 - 1.875

y = 0.625

4 0
3 years ago
Is a ratio a rate sometimes, always, or never true
Anna71 [15]
A simplified ratio may always be a rate. 
4 0
3 years ago
Read 2 more answers
Fred invests $3000 at 4.23% compounded quarterly for 3 years. How much
S_A_V [24]

Answer:

3000×(1.0423)cubed = 3403.64-3000=403.64

5 0
2 years ago
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