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2 years ago

What is the area in square inches of this quadrilateral

Mathematics

2 answers:

Lerok [7]2 years ago

7 0

Answer:

160 in²

Step-by-step explanation:

20 * 16 / 2

if we wouldn't devide with 2, we would calculate the rectangle around the quadrilateral

timama [110]2 years ago

7 0

Answer:

G, 160 in^2

Step-by-step explanation:

Let us start with the general equation to find the area of this quadrilateral, which is noticably a rhombus, $A=\frac{d_1d_2}{2}$ , where the two d represent the two diagonals of the rhombus.

Notice that the longer diagonal consists of two 10in. portions. Let's add them up to find the total length:

$10+10=20$ in.

Now let's find the smaller diagonal consisting of two 8 in. portions:

$8+8=16$ in.

Great! Let's plug in to solve for the area:

$A=\frac{20*16}{2} \\A=\frac{320}{2} \\A=160$

Therefore, the area of the quadrilateral is G, 160 in^2.

I hope this helps! Let me know if you have any questions :)

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Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13 mean = 8.5, m

jasenka [17]

Answer:

Mean = 9.3

Median = 10

Mode = 13

Step-by-step explanation:

To get the mean, you would have to add up all of the numbers (102), then divide how many numbers you have with the numbers added up (9.3). To get the median, you would have to put all of the numbers that you have, in order, from least to greatest and cross off each number, one from each side before getting to the number in the middle (unless if you have an even number; works better with odd numbers, which is easier). To get the mode, you would need to find out which number appears the most, and, if there is more than one, you can put the numbers down. Hope this helps.

3 0

3 years ago

Read 2 more answers

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Natali5045456 [20]

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

7 0

3 years ago

12. Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks b

Ghella [55]

Answer:

The number of ways are 40320.

Step-by-step explanation:

Consider the provided information.

Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.

We need to determine the number of different ways to put eight cookbooks on the shelf.

We need to select 8 cookbooks taking 8 at a time.

So use the permutation formula: $^{n}P_{n}$

Substitute n=8 and simplify.

$^8P_8=\frac{8!}{(8-8)!}\\8!=40320$

Hence, the number of ways are 40320.

6 0

3 years ago

Nigel sent 644 text messages last week. write and solve an equation to find the average number of message he sent each day

kati45 [8]

<h2>Too many.</h2><h2></h2><h2></h2><h2>In all seriousness... Do 644 / 7. He Sent 92 Texts on Average every day.</h2>

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3 years ago

Read 2 more answers

Industry standards suggest that 10 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumte

borishaifa [10]

Answer:

a) 0.3874

b) 0.3874

c) 0.1722

d) Mean and Standard Deviation = 0.9

Step-by-step explanation:

This is binomial distribution problem that has formula:

$P(x=r)=nCr*p^{r}*q^{n-r}$

Here p is probability of success = 10% = 0.1

q is probability of failure, that is 90% = 0.9

n is total number, which is 9, so n = 9

The probability that none requires warranty is r = 0, we substitute and find:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=0)=9C0*(0.1)^{0}*(0.9)^{9-0}\\P(x=0)=0.3874$

Probability that none of these vehicles requires warranty service is 0.3874

The probabilty exactly 1 needs warranty would change the value of r to 1. Now we use the same formula and get our answer:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=1)=9C1*(0.1)^{1}*(0.9)^{9-1}\\P(x=1)=0.3874$

This probability is also the same.

Probability that exactly one of these vehicles requires warranty is 0.3874

Here, we need to make r = 2 and put it into the formula and solve:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=2)=9C2*(0.1)^{2}*(0.9)^{9-2}\\P(x=2)=0.1722$

Probability that exactly two of these vehicles requires warranty is 0.1722

The formula for mean is

Mean = n * p

The formula for standard deviation is:

Standard Deviation = $\sqrt{n*p*(1-p)}$

Hence,

Mean = 9 * 0.1 = 0.9

Standard Deviation = $\sqrt{9*0.1*(1-0.1)}=0.9$

4 0

3 years ago