All categories

3 years ago

Could u pls show me step by step

Mathematics

2 answers:

vovikov84 [41]3 years ago

6 0

Answer:

Step-by-step explanation:

top base= B(x)-A(x)= 10-3= 7

bottom base= C(x)- D(x)= 12-1= 11

height= A(y) - D(y) = B(y)- C(y)= 5-1=4

Area= 1/2(7+11)*4= 36

Brums [2.3K]3 years ago

5 0

Answer:

Area = 36 sq. units

Step-by-step explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A = $\frac{1}{2}h(b_{1} +b_{2})$

Put in the numbers above for the unknowns and you will get this:

A = $\frac{1}{2}(4)(7 + 11)$

Simplify:

A= $\frac{1}{2}(4)(18)$

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

You might be interested in

Jose wants to fence in his garden. The shape is a rectangle. Two sides are each 12 feet long. The other two sides are each 108 i

7nadin3 [17]

The answer is To your question is C

5 0

3 years ago

Write the slope intercept form Through:(5,-3) and (0,0)

Misha Larkins [42]

Answer:

$y=-\frac{3}{5}x$

6 0

3 years ago

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Irina-Kira [14]

Answer:

Radius - 4

Apothem - 2

Area - $12\sqrt{3}$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12\sqrt{3} \div3 = 4\sqrt{3}$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6$

By the way, the formula for the area can be either of the two:

$A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS$

we can easily find the area using the first formula.

$A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

4 0

3 years ago

Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes t

Zolol [24]

The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4) *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

y=2x-4

y=2x-3

y=2x+3

y=2x+4

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

Learn more about line at brainly.com/question/13763238

#SPJ10

5 0

2 years ago

What conic section does the equation y^2 – x + 2y – 2 = 0 represent?

OLEGan [10]

The correct answer is D...

4 0

3 years ago