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Trava [24]
3 years ago
11

What is the area of a a trapezoid with the following dimensions h=5cm b1=9 cm b2= 15cm ?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

60cm^2

Step-by-step explanation:

The formula for the area of a trapezium is : \frac{a+b}{2}*height

To work out the area of the trapezium you would first have to add the lengths at the top and bottom (a and b) which is 9+15, this gives you 24cm.

The next step is to divide the value of 24 by 2, this gives you 12cm.

The final step is to multiply the value of 12cm by the height of 5, this gives you  60cm^2. This is because if you were to substitute the values into the formula you would get the same answer.

1) Add 9 and 15.

15+9=24

2) Divide 24 by 2.

24/2=12

3) Multiply 12 and 5.

12*5=60cm^2

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Neko [114]
The answer is 35 different groups.
6 0
3 years ago
PLEASE HELP <br><br> I am confused on these equations
mamaluj [8]

Answer:

See below.

Step-by-step explanation:

I'll show you step by step how to do the synthetic division.

You are dividing polynomial -6x^4 + 22x^3 + 3x^2 + 15x + 20 by x - 4.

From the polynomial, you only need the coefficients in descending order of degree as they are written.

         -6    22    3    15    20

In synthetic division, you divide by x - b. You are dividing by x - 4, so b = 4.

The 4 is written to the left of the coefficients of the polynomial.

      ___________________

4   |       -6    22    3    15    20

      ___________________

This is what the setup looks like. You can see it in the problem you were given.

The first step is to just copy the leftmost coefficient straight down to below the line.

      ___________________

4   |       -6    22    3    15    20

      ___________________

             -6

Now multiply b, which is 4, by -6 and write it above and to the right.

     ___________________

4   |       -6    22    3    15    20

                    -24

      ___________________

            -6

Add 22 and -24 and write it next to -6.

     ___________________

4   |       -6    22    3    15    20

                    -24

      ___________________

             -6     -2

Multiply 4 by -2 and write it above and to the right. Add vertically.

     ___________________

4   |       -6    22     3    15    20

                    -24   -8

      ___________________

             -6     -2    -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

     ___________________

4  |       -6    22     3    15    20

                    -24   -8   -10

      ___________________

             -6     -2    -5   -5

Multiply 4 by -5 and write it above and to the right. Add vertically.

     ___________________

4   |       -6    22     3    15    20

                    -24   -8   -10   -20

      ___________________

             -6     -2    -5   -5      0

The 4 numbers in the second line are the coefficients of the quotient.

The quotient is 1 degree less than the original polynomial.

The quotient is: -24x^3 - 8x^2 - 10x - 20

The last number on the third line is the remainder. Since here the reminder is zero, that means that this division has no remainder. The remainder is 0/(x - 4)

Fill in the boxes with:

-24, -8, -10, -20

-6, -2, -5, -5, 0

-24x^3 - 8x^2 - 10x - 20

0

6 0
3 years ago
What is the value of x in the figure? <br><br><br> x= ?
Otrada [13]
X = 68

Since the angle opposite of it is a right angle, we know that 22 + x has to equal 90 also. 

So just take 90 - 22 = 68 degrees
6 0
3 years ago
Read 2 more answers
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NeX [460]

Answer:

A) x = 12

Step-by-step explanation:

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x = 12

7 0
3 years ago
A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?
Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.

6 0
3 years ago
Read 2 more answers
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