All categories

3 years ago

How do i find the area of a trapezoid (pictures provided)

Mathematics

1 answer:

scoray [572]3 years ago

5 0

Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

$Area \: of \: trapezoid \\ = \frac{1}{2} (AD + BC) \times 5 \\ = \frac{1}{2} (x + 3x - 2) \times 5 \\ = \frac{1}{2} (4x - 2) \times 5 \\ = \frac{1}{2} \times 2 (2x - 1) \times 5 \\ = (2x - 1) \times 5 \\ = (10x - 5) \: {units}^{2}$

You might be interested in

Telephone plan consist of a monthly fee of $20 plus $.20 per minute for long distance calls made write an equation for the total

HACTEHA [7]

Answer:

$C=20+0.20N$

Step-by-step explanation:

Fixed monthly fee = $20

Amount charged per minute for long distance calls = $0.20

$C$ denotes total cost such that $N$ minutes are used for long distance calls.

Amount charged for $N$ minutes for long distance calls $=0.20N$

Therefore, an equation for the total cost, C, when N minutes are used for long distance calls is $C=20+0.20N$

5 0

3 years ago

Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the rem

dedylja [7]

Answer:

Final answer is 1/3.

Step-by-step explanation:

Question says that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. After that she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

As she used 5/9 of the tomatoes to make pasta sauce.

Now remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

3 0

4 years ago

There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

4 0

4 years ago

Which of the following describes the end behavior of y = -x^2+bx+c as x approaches either positive or negative infinity?

Pavlova-9 [17]

The end behavior model of y is -x^2.
As x approaches either positive or neg infinity, -x^2 will always be negative.
Thus, "B) y approaches neg infinity" is the correct one.
Hope that will help :))

5 0

3 years ago

victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized

Kamila [148]

The answer is 7. I just did it

5 0

3 years ago

Read 2 more answers