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Inessa [10]
3 years ago
10

Find the area of the kite

Mathematics
2 answers:
nasty-shy [4]3 years ago
6 0

ANSWER

The correct answer is A.

EXPLANATION

If you know the diagonals of a kite you can easily find the area.

The area of a kite is half the product of the diagonals.

From the graph, the from -5 to 4.

Using the number line approach. The longer diagonal is

|4 -  - 5|  =  |4 + 5|  =  |9|  = 9 \:  \: units

Similarly the shorter diagonal is from -4 to 4

|4 -  - 4|  =  |4 + 4|  =  |8|  = 8 \:  \: units

The area of the kite is:

Area= \frac{1}{2}  \times 8 \times 9

Area=4 \times 9

This implies that

Area=36 \: square \:  \: units

The first choice is correct.

Thepotemich [5.8K]3 years ago
3 0

Step-by-step answer:

Area of a kite is half of the product of the diagonals.

The length of diagonal in the x-direction is 4+5 = 9

The length of diagonal in the y-direction is 4+4 = 8

Therefore

Area of kite = 8*9/2 = 36 units.

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astraxan [27]
  V (Volume) = s^2 * h = 48 ------> h = 48s^-2 
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1 
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0 
Since s can't be 0, the only possible solution is: 
1 - 96s^-3 = 0 
s^3 - 96 = 0 
s = cube root(96) = 2 cube root(12) ~ 4.579 cm 
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8 0
4 years ago
Read 2 more answers
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
G(x) =✔ –2X 1/22 (3.5x)
MaRussiya [10]
The answer to your question is c
3 0
4 years ago
Joseph owns a small business selling bagels. He knows that in the last week 71 customers paid cash, 4 customers used a debit car
Dovator [93]

Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,

Total number of customers = 71 + 4 + 36 = 111

Now, the probability that the next customer will pay with cash is,

Probability

= Number of customers who pay with cash / Total number of customers

= 71 / 111

= 0.63963

To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,

Probability = 0.63963 × 100%

                  = 63.963% ≈ 64%

Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

Learn more about Probability here:

brainly.com/question/795909

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7 0
1 year ago
PLS HELP MEEE PICTURE BELOW
Leviafan [203]

Answer:

h = 3.6

Step-by-step explanation:

This is just substituting in for variables and solving for x. The hard part is knowing the formula.

R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.

Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.

(8.1) = h(((1) + (3.5)) / 2)

= h((4.5) / 2)

= h(2.25)

8.1/2.25 = h

3.6 = h

5 0
2 years ago
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