Please help if you know how to solve this

Find the area of the shape.

goldenfox [79]

Answer:

C) 72 square yards

Step-by-step explanation:

Split the shape into 2 rectangles so

the dimensions of the rectangles are 3 by 6 and 6 by 9 so

3(6)+6(9) so

18+54=

C) 72 square yards

3 0

4 years ago

Read 2 more answers

A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space

Serggg [28]

A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. calculate the number of elements in the sample space for this experiment.

Answer: The number of elements in the sample space for this experiment can be found using the combination formula because the order does not matter here.

Therefore, the number of elements in the sample space for this experiment is:

$13C4=\frac{13!}{(13-4)!4!}$

$=\frac{13!}{9! \times 4!}$

$=\frac{6227020800}{8709120}$

$=715$

Therefore, the number of elements in the sample space for this experiment is 715.

7 0

4 years ago

find the sum of the first 20 terms of an arithmetic sequence with a first term of -14 and a comman difference of 4

timama [110]

Answer:

480

Step-by-step explanation:

Sn = n÷2 × (2a + (n-1)d)

n = 20 a = -14 d = 4

S20 = 10 × (-28 + 19 × 4) = 480

7 0

3 years ago

the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be $x + 2$

Sum of two consecutive number = $(x) + (x + 2)$

$\Rightarrow$ Sum of two consecutive number = $2x + 2$

Product of two consecutive number = $(x) \times(x+2)=x^{2}+2 x$

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

One even number = $x=4$

Other even number = $x + 2 = 4 + 2 = 6$

Hence required equation to determine two consecutive even number is $x^2 -16 = 0$ and required numbers are 4 and 6.

8 0

4 years ago

You just received an insurance settlement offer related to an accident you had six years ago. The offer gives you a choice of on

Usimov [2.4K]

answer:

Step-by-step explanation:

Option A. $1565 for 72months

Then the total is $112,680

Option B. $1012 for a month for 10 years,

10years is equivalent to 120months

Therefore, the total income is 1012×120

$121,440.

Option 3.

$100,000 once payment.

All the information is correct.

But,

Since the individual did not care if he receives the fund or it is transfer to his heir, so we can ignore the third option of collecting $100000 lump sum.

Also, since he is also ready to wait and he is indifferent about who earns the insurance settlement so he can as well wait and ignore the 72months.

So he can go for the second option because it pays the largest amount and he will receive the most payments.

He will receive $121,440 if he waits for ten years.

4 0

4 years ago