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Otrada [13]
2 years ago
12

If the areas of the given pairs of shapes are equal, find the value of x.​

Mathematics
2 answers:
Grace [21]2 years ago
8 0

Answer:

X= 8cm

Step-by-step explanation:

area of the square = s×s = 16×16 = 256cm

area of the rectangle = l×b = 32×x = 32x

Given , area of triangle = area of square

32x = 256

x= 256/32

x= 8cm

den301095 [7]2 years ago
3 0

Answer:

x = 8cm

Step-by-step explanation:

we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e

  • the area of the square equal to the area of the rectangle

therefore,

\displaystyle \rm A _{square } = A _{rect}

recall the formula of the area of square and rectangle so,

\displaystyle  {s}^{2} = lw

now assign variables

  • s \implies16cm
  • l \implies32cm
  • w \implies x

thus substitute:

\displaystyle 32cmx =  {16cm}^{2}

simplify square:

\displaystyle 32cmx = 256cm^2

divide both sides by 32:

\displaystyle  \boxed{x = 8cm}

and we're done!

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Complete this table to show the sample space for each roll in the game
leva [86]

I'm assuming you only need help with part B. If that's the case, then all we do is add up the values outside of the table to get the inner cell results. For example, in row 1, column 1, we have 1's outside. They add to 1+1 = 2. So we'll have 2 in the first row and first column of the table. The other cells are computed in this way. In figure 1 (see attached image), I show the intermediate step of adding. Then in figure 2, I actually add up the values and show the final result of what the table will look like when all said and done. Take note of the color coding to help see how the values match up for each inner cell of the table. The color coding is optional.

------------------------------------------------------------------------------------------------------------

Edit: 

Part C -- Part 1) Probability of rolling double sixes


There are five copies of "6" in the table (see figure 2 of the attached image) out of 36 total possibilities. How did I get 36? It's the result of multiplying 6*6. This is because there are 6 faces per die. As the table shows, there are 6 rows and 6 columns giving 36 cells total.


So we divide the number of times "6" shows up (5 times) out of the number of total possibilities (36 total) to get: 5/36 = 0.1389 = 13.89%


Answer as a fraction: 5/36

Answer as a decimal: 0.1389

Answer as a percent: 13.89%

The decimal and percent forms are approximate

---------------------------------------------


Part C -- Part 2) Probability of rolling doubles


To roll doubles, all we need to do is roll the same number twice on each die. In other words, we have "twin values" so to speak. Back in part 1 above, we dealt with just '6's showing up twice. There are other doubles as well


The doubles possibilities are: 

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6


Each combo listed above only shows up once. So we have 6 instances where we have doubles (one instance per side of the die). This is out of 36 total


Divide the values mentioned: 6/36 = 1/6 = 0.1667 = 16.67%


Answer as a fraction: 1/6

Answer as a decimal: 0.1667

<span>Answer as a percent: 16.67%</span>

The decimal and percent forms are approximate

7 0
3 years ago
Read 2 more answers
Evaluate the expression:–|20| + |5|
Svetradugi [14.3K]
-|20| + |5| = -15

Steps:
Apply absolute rule: |a| = a, a >/ 0
|20| = 20
= -20+5
Apply absolute rule: |a| = a, a >/ 0
|5| = 5
= -20+5
Refine 
= -15

Hope this helps you! (:
-Hamilton1757
3 0
3 years ago
Convert 9.8 cm to mm. (please show the steps to how you did the problem.)
UNO [17]

Answer:

0.98

Step-by-step explanation:

9.8 \div 10 \\  0.98 \\ so \: answer \: is \: 0.98

4 0
2 years ago
Read 2 more answers
397 of 514 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected r
Afina-wow [57]

Answer:

z=14.73

p=0.000

for 99% confidence level the null hypothesis is rejected, thus majority of us adults would not bothered if the NSA collected personal records.

Step-by-step explanation:

H_{0}: Half of US adults would not bothered if the NSA collect records of personal telephone calls

H_{A}: Majority of the adults would not bothered if the NSA collect records of personal telephone calls

According to the sample, z-value can be found using the formula:

z=\frac{X-M}{\sqrt{n*p*(1-p)} } where

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  • M is the mean of the distribution of null hypothesis (257)
  • n is the sample size (514)
  • p is the proportion of the sample, who said they would not bothered ( \frac{397}{514} ≈ 0.77)

Putting these numbers in the formula,

z=14.73  and corresponding p value is p≈0.000

Since p<0.01,  for 99% confidence level we reject the null hypothesis, thus majority of us adults would not bothered if the NSA collected personal records.

8 0
3 years ago
757 divided by 68, the reamander, what is it?
egoroff_w [7]
68 can go into 757 11 times, the remainder would be 9

757÷68= 11 r 9 or 11 9/68
5 0
3 years ago
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