32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form

32 The Area Of A Parallelogram Is (32 + Sqrt(2)) Square FeetIf The Length Of The Base Is (4 + Sqrt(2))

Answers

Answer 1

The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft

How to calculate area of a parallelogram?

area of parallelogram = bh

where

b = baseh = height

Therefore,

area = (32 + √2) ft²

base = (4+√2) ft

Therefore,

area of a parallelogram = bh

(32 + √2) = (4+√2)h

divide both sides by (4+√2)

h = (32 + √2)  / (4+√2)

h =  (32 + √2)  / (4+√2) × (4-√2) / (4-√2)

h =  (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2

h = 128 + 32√2 + 4√2 - 2 / 14

h = 126 + 36√2 / 14 ft

h = 18(7 + 2√2) / 14 ft

h = 9(7 + 2√2)  / 7 ft

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Related Questions

10y 5 +30y 3 −15y
Factor out the gcf then simplify the polynomial

Answers

10y⁵ + 30y³ - 15y =

5y * 2y⁴ + 5y * 6y² + 5y * (-3) =

5y (2y⁴ + 6y² - 3)

Convert the following fraction to a decimal 20/16

Answers

Answer:

1.25

Step-by-step explanation:

please help with this question

Answers

Answer:

your answer is 1,-2

Step-by-step explanation:

IDENTIFY THE PROPERTY WHICH JUSTIFIES THE FOLLOWING CONCLUSION

A. REFLECTIVE PROPERTY
B. ADDITION PROPERTY OF EQUALITY
C. SYMMETRIC PROPERTY
D. MULTIPLICATION PROPERTY OF EQUALITY

1. If ×=4, then × + 2=7
....__.....__
2.AB = AB

3. If × = y, Then 2× = 2y

4. If 9 = 6+3, then 6+3 =9

Please answer correctly do not concentrate wrong and rely only on the pontos:)​

Answers

Answer:

Step-by-step explanation:

17) B. They are adding 2 to both sides.

18) A. A segment is equal to itself.

19) D. They are multiplying both sides by 2.

20) C. They are simply swapping the left and right hand sides of the equation

Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t sandra has two credit cards, p and q. card p has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. card q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. assuming that sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. card q’s balance increased by $7.22 more than card p’s balance. b. card q’s balance increased by $6.69 more than card p’s balance. c. card p’s balance increased by $3.43 more than card q’s balance. d. card p’s balance increased by $0.80 more than card q’s balance. please select the best answer from the choices provided a b c d

Answers

The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:

Case 1: For card p:

Initial amount = p = $726.19

The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding semiannually, that means twice per year, thus, n = 2

Thus, the final amount in card p after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]

Case 2: For card q:

Initial amount = p = $855.20

The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding monthly, that means twelve times per year, thus, n = 12

Thus, the final amount in card q after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]

Clearly card q has more amount than card p at the end of 4 years.

The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)

Learn more about compound interest here:

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A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

A.)(3.14)(5m)2(10m)
B.)(3.14)(5m)2(20m)
C.)(3.14)(10m)2(5m)
D.)(3.14)(20m)2(5m)

Answers

The answer is b . i just had the question and I got it right .

Please help :)))))))))))

Answers

Answer:

Your answer is C and D

Step-by-step explanation:

Answer:

D. y = -x - 1

Step-by-step explanation:

   We are using slope-intercept form for this problem.

   Since this line is going from upper left to bottom right we know it will have a negative slope.

   The line intersects the y-axis at -1, so the b value is -1.

             The equation for this line is D. y = -x - 1

Can someone please help me I’m stuck

Answers

I can see you already found the coordinates of the points that pass through the line, all you have to do is plot them, and join them together.

c)Graphically:when is the line's y=3x=1.5

Analytically:6-2x=3-2x=3-6-2x=-3

2x=3

x=3/2 =1.5

Work out the number of boys and girls in the class.
in class 8m, there are 27 pupils. there are twice as many boys as girls. find the number of boys and girls

Answers

Answer:

81

Step-by-step explanation:

27 total of pupils.

girls 1×27=27

boys 2×27=54

total 54+27=81

Please solve for the value of 3

Answers

Answer:

P = 45

Step-by-step explanation:

180 - 90 = 90

90 / 2 = 45

P = 45

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

find the percentage profit in each case cost price 20 selling price 25​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

for profit percentage

p% =(sp-cp/cp)×100%

=(25-20/20)×100%

=25%

The profit percentage is 25%

what three ratios are equivalent to 6/18

Answers

Answer: 3:9, 1:3, 12:36

Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.

2,914 rounded to the thousand and to nearest hundred

Answers

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?

Answers

The answers are

a)640-500

b) + 28%

LOOK AT THE PICTURE AND ANSWER THE QUESTION TO GET MARKED BEST.
what is the value or x?
10.4
52
61.6
92

Answers

Answer:

x = 10.4

Step-by-step explanation:

This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.

To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.

Answer:

52

Step-by-step explanation:

180-128=52

the whole angle is 180

In the figure below, k || l and m || n. Find the values of y and x.

Answers

Answer:

x = 30

y = 115

Step-by-step explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30

HELP MEEEEEEEEEEEEEEEE

Answers

Surface area formula : B x H
So multiply 6 1/2 x 10 4/5

The answer is 351/5 or 70.5

why is a parallelogram not always a rectangle

Answers

Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That's why a rectangle is always a parallelogram. However, a parallelogram is not always a rectangle

Answer:

A parallelogram by definition has 2 pairs of parallel sides.

A parallelogram could be:

____________

|                        |

|___________|

A rectangle in euclidean geometry has 4 right angles.

For example:

________________

|                                 |

|_______________|

However, a parallelogram may have 2 pairs parallel sides but not 4 right angles.

For example:

______________

\                              \        

 \______________\

Therefore, A parallelogram is not always a rectangle.

Hope this helps!!!

Please mark me as brainliest!!!

Question 1 of 5
What is the spread of the data?
..
. .
14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
Age of female U.S. Olympic swimmers (years)
A. 15 to 32 years
B. 14 to 33 years
O C. 24 to 32 years
D. 15 to 24 years

Answers

B

The lowest is 14 and the highest is 33.

Two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. Find the number of sides of the polygon.

Answers

The number of sides of a polygon with interior angles of  134° and 156° and each of the remaining angles as 151° is 12 sides.

Polygons

The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).

Therefore,

Interior angle  + exterior angle = 180°

Therefore,

156 + x = 180

x = 180 - 156

x = 24°

134 + y = 180

y = 180 - 134

y = 46°

180 - 151 = z

z = 29°

sum of exterior angle = 360 degrees.

Therefore,

360 - 46 - 24 = 290°

Then,

290 / 29 = 10

The number of sides = 10 + 2 = 12 sides

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Which of the following is true about the decimal form of the number? 25/225
A It is neither a terminating decimal nor a repeating decimal.
B It is both a terminating decimal and a repeating decimal.
C It is a repeating decimal

Answers

Answer:

I think it's B because it stops but keeps going.

Step-by-step explanation:

The numbers of hours mary works over a period of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8. find the mean, median, mode, and range of the data set.

Answers

Answer:

Mode=8

This is because it occurs the most

Median

=8+8/2

=16/2

=8

Therefore, the median is 8

Mean= £x/n

=6+7+7+8+8+8+8+8/8

=60/8

=15/2

=7.5

Step-by-step explanation:

Please mark me brainliest if correct

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.

Arrange the data in increasing order, then we have

6, 7, 7, 8, 8, 8, 8, 8

The mean of the data is given as,

Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8

Mean = 60 / 8

Mean = 7.5

The median of the data is given as,

Median = {[8 / 2 + (8 + 2)/ 2] / 2}

Median = (4th + 5th) / 2

Median = (8 + 8) / 2

Median = 16 / 2

Median = 8

The mode of the data is given as,

Mode = Frequency of the number

Mode = 8

The range of the data set is given as,

Range = 8 - 6

Range = 2

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

More about the statistics link is given below.

https://brainly.com/question/10951564

#SPJ2

if brainly doesn't let me put this question..

Answers

Answer:

8-4+9+3+6-6=36 this is my answer

Which symbol would correctly compare the values shown be
1-8|?|8

Answers

Answer:

=

Step-by-step explanation:

|-8|?|8|

8 ? 8
8 = 8
Hope this helps :)

is 69 less then a right angle

Answers

Answer:

yes it is less then a right angle

Step-by-step explanation:

What’s the answer to the blank

Answers

Answer:

13.93

Step-by-step explanation:

find the mean
11.60 + 16.25 ÷ 2 = 13.93

Find an angle between 0 degrees and 360 degrees that is coterminal with 950 degrees

Answers

Answer:

40 degrees

Step-by-step explanation:

(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).

-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:

-1400 degrees+(360 degrees*4)

=-1400 degrees+1440

=40 degrees

so the answer is 40 degrees

The graph below represents data that was collected by students on the number of
social media posts they made the previous day.


What was the mean number of posts made?

Answers

Answer:

4

Step-by-step explanation:

To calculate the mean or average, add all the data point up and whatever the amount of data point there are is supposed to be divided by the sum of the data points. So in this case, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. This is the sum of the data points. Now we have to divide by the amount of data points which is 7 (0 obviously has no value whatsoever).  28 divided by 7 is 4. The average/mean of the number of post made is therefore 4.

Hope this helps,

IShowSpeed's Right Hand Enthusiast

Find 76% of 147 please answer

Answers

The answer is 111.72%
We would find 1% of 147 then times the answer by 76

Answer:

111.72

simplify multiply

⇒ 76% * 147

⇒ (76/100) * 147

⇒ 111.72

A baby weighs 7 pounds at birth. the table shows the baby's weigh after each month of its birth, up to the sixth month

Answers

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