HELP ASAP HAVE UNTIL 5:00 TODAY One face of a lamp shade is a trapezoid shape.

Mathematics

1 answer:

choli [55]3 years ago

3 0

Okay. First, you need to break this apart. As you can see, the dashed line outlines two triangles on the side. Between them, there is a rectangle. Now, we need to find the short leg length of each triangle. To do this, we need to subtract the length of the top of the trapezoid from the length of the bottom

9 - 7 = 2

Next, we divide by two because the 2 inches left are split evenly between the short legs of the two triangles.

2/2 = 1

<span>With this, we know the length of the short leg of both triangles is 1 inch. This also happens to be the base of both triangles. Thus, to find the area of the triangles, we plug 6 and 1 into the formula used to find the areas of the two triangles.

A = bh/2

Plug in 6 for the highth and 1 for the base.

A= (6 x 1)/2 = 6/2 = 3

Here is the catch for this part. There are two triangles so we must double the value of 3 to get 6. As such, you can skip the divide by two part above.

Next, you need to find the area of the rectangle by simply multiplying the value of 7 by the value of 6 to get:

7 x 6 = 42

Finally, we add the areas of the triangles (6 total) and the area of the square (49) together to get:

42 + 6 = 48

Obviously, since we have been working with inches, the unit for area is square inches, making the answer 48 inches squared or 48in^2!
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PLEASE HELP ASAP!!

Alekssandra [29.7K]

I think its D. 32.6 s/ft and appoximatley 0.03 ft/s

8 0

3 years ago

Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day

AfilCa [17]

Answer:

Rebecca and Dan need to ride $7\frac{9}{20}\ hrs.$ on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = $5\frac34 \ hrs.$

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

$5\frac34 \ hrs.$ can be Rewritten as $\frac{23}{4}\ hrs$

Number of hours rode on first day = $\frac{23}{4}\ hrs$

Also Given:

Number of hours rode on second day = $6\frac45 \ hrs$

$6\frac45 \ hrs$ can be Rewritten as $\frac{34}{5}\ hrs.$

Number of hours rode on second day = $\frac{34}{5}\ hrs.$

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = $20-\frac{23}{4}-\frac{34}{5}$

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = $\frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}$